{
  "description": "Canonical Messiaen interval words with rotations, reversals, reflection classes, and selected multi-octave lifts.",
  "modes": {
    "m1": {
      "base": {
        "cardinality": 6,
        "closed_under_reflection": true,
        "distinct_rotations": 1,
        "external_reflections": 0,
        "mirror_pairs": 0,
        "modulus": 12,
        "rotations": [
          {
            "pitch_path": [
              0,
              2,
              4,
              6,
              8,
              10
            ],
            "reflected_word": [
              2,
              2,
              2,
              2,
              2,
              2
            ],
            "reflection_target": 1,
            "relation": "self",
            "rotation": 1,
            "word": [
              2,
              2,
              2,
              2,
              2,
              2
            ]
          }
        ],
        "self_reflections": 1,
        "word": [
          2,
          2,
          2,
          2,
          2,
          2
        ]
      },
      "lifts": {
        "2": {
          "mirror_lift": {
            "cardinality": 12,
            "closed_under_reflection": true,
            "distinct_rotations": 1,
            "external_reflections": 0,
            "mirror_pairs": 0,
            "modulus": 24,
            "rotations": [
              {
                "pitch_path": [
                  0,
                  2,
                  4,
                  6,
                  8,
                  10,
                  12,
                  14,
                  16,
                  18,
                  20,
                  22
                ],
                "reflected_word": [
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2
                ],
                "reflection_target": 1,
                "relation": "self",
                "rotation": 1,
                "word": [
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2
                ]
              }
            ],
            "self_reflections": 1,
            "word": [
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2
            ]
          },
          "repeat": {
            "cardinality": 12,
            "closed_under_reflection": true,
            "distinct_rotations": 1,
            "external_reflections": 0,
            "mirror_pairs": 0,
            "modulus": 24,
            "rotations": [
              {
                "pitch_path": [
                  0,
                  2,
                  4,
                  6,
                  8,
                  10,
                  12,
                  14,
                  16,
                  18,
                  20,
                  22
                ],
                "reflected_word": [
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2
                ],
                "reflection_target": 1,
                "relation": "self",
                "rotation": 1,
                "word": [
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2
                ]
              }
            ],
            "self_reflections": 1,
            "word": [
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2
            ]
          },
          "rotate_lift": {
            "cardinality": 12,
            "closed_under_reflection": true,
            "distinct_rotations": 1,
            "external_reflections": 0,
            "mirror_pairs": 0,
            "modulus": 24,
            "rotations": [
              {
                "pitch_path": [
                  0,
                  2,
                  4,
                  6,
                  8,
                  10,
                  12,
                  14,
                  16,
                  18,
                  20,
                  22
                ],
                "reflected_word": [
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2
                ],
                "reflection_target": 1,
                "relation": "self",
                "rotation": 1,
                "word": [
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2
                ]
              }
            ],
            "self_reflections": 1,
            "word": [
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2
            ]
          }
        },
        "3": {
          "mirror_lift": {
            "cardinality": 18,
            "closed_under_reflection": true,
            "distinct_rotations": 1,
            "external_reflections": 0,
            "mirror_pairs": 0,
            "modulus": 36,
            "rotations": [
              {
                "pitch_path": [
                  0,
                  2,
                  4,
                  6,
                  8,
                  10,
                  12,
                  14,
                  16,
                  18,
                  20,
                  22,
                  24,
                  26,
                  28,
                  30,
                  32,
                  34
                ],
                "reflected_word": [
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2
                ],
                "reflection_target": 1,
                "relation": "self",
                "rotation": 1,
                "word": [
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2
                ]
              }
            ],
            "self_reflections": 1,
            "word": [
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2
            ]
          },
          "repeat": {
            "cardinality": 18,
            "closed_under_reflection": true,
            "distinct_rotations": 1,
            "external_reflections": 0,
            "mirror_pairs": 0,
            "modulus": 36,
            "rotations": [
              {
                "pitch_path": [
                  0,
                  2,
                  4,
                  6,
                  8,
                  10,
                  12,
                  14,
                  16,
                  18,
                  20,
                  22,
                  24,
                  26,
                  28,
                  30,
                  32,
                  34
                ],
                "reflected_word": [
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2
                ],
                "reflection_target": 1,
                "relation": "self",
                "rotation": 1,
                "word": [
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2
                ]
              }
            ],
            "self_reflections": 1,
            "word": [
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2
            ]
          },
          "rotate_lift": {
            "cardinality": 18,
            "closed_under_reflection": true,
            "distinct_rotations": 1,
            "external_reflections": 0,
            "mirror_pairs": 0,
            "modulus": 36,
            "rotations": [
              {
                "pitch_path": [
                  0,
                  2,
                  4,
                  6,
                  8,
                  10,
                  12,
                  14,
                  16,
                  18,
                  20,
                  22,
                  24,
                  26,
                  28,
                  30,
                  32,
                  34
                ],
                "reflected_word": [
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2
                ],
                "reflection_target": 1,
                "relation": "self",
                "rotation": 1,
                "word": [
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2
                ]
              }
            ],
            "self_reflections": 1,
            "word": [
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2
            ]
          }
        },
        "4": {
          "mirror_lift": {
            "cardinality": 24,
            "closed_under_reflection": true,
            "distinct_rotations": 1,
            "external_reflections": 0,
            "mirror_pairs": 0,
            "modulus": 48,
            "rotations": [
              {
                "pitch_path": [
                  0,
                  2,
                  4,
                  6,
                  8,
                  10,
                  12,
                  14,
                  16,
                  18,
                  20,
                  22,
                  24,
                  26,
                  28,
                  30,
                  32,
                  34,
                  36,
                  38,
                  40,
                  42,
                  44,
                  46
                ],
                "reflected_word": [
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2
                ],
                "reflection_target": 1,
                "relation": "self",
                "rotation": 1,
                "word": [
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2
                ]
              }
            ],
            "self_reflections": 1,
            "word": [
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2
            ]
          },
          "repeat": {
            "cardinality": 24,
            "closed_under_reflection": true,
            "distinct_rotations": 1,
            "external_reflections": 0,
            "mirror_pairs": 0,
            "modulus": 48,
            "rotations": [
              {
                "pitch_path": [
                  0,
                  2,
                  4,
                  6,
                  8,
                  10,
                  12,
                  14,
                  16,
                  18,
                  20,
                  22,
                  24,
                  26,
                  28,
                  30,
                  32,
                  34,
                  36,
                  38,
                  40,
                  42,
                  44,
                  46
                ],
                "reflected_word": [
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2
                ],
                "reflection_target": 1,
                "relation": "self",
                "rotation": 1,
                "word": [
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2
                ]
              }
            ],
            "self_reflections": 1,
            "word": [
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2
            ]
          },
          "rotate_lift": {
            "cardinality": 24,
            "closed_under_reflection": true,
            "distinct_rotations": 1,
            "external_reflections": 0,
            "mirror_pairs": 0,
            "modulus": 48,
            "rotations": [
              {
                "pitch_path": [
                  0,
                  2,
                  4,
                  6,
                  8,
                  10,
                  12,
                  14,
                  16,
                  18,
                  20,
                  22,
                  24,
                  26,
                  28,
                  30,
                  32,
                  34,
                  36,
                  38,
                  40,
                  42,
                  44,
                  46
                ],
                "reflected_word": [
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2
                ],
                "reflection_target": 1,
                "relation": "self",
                "rotation": 1,
                "word": [
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2,
                  2
                ]
              }
            ],
            "self_reflections": 1,
            "word": [
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              2
            ]
          }
        }
      }
    },
    "m2": {
      "base": {
        "cardinality": 8,
        "closed_under_reflection": true,
        "distinct_rotations": 2,
        "external_reflections": 0,
        "mirror_pairs": 1,
        "modulus": 12,
        "rotations": [
          {
            "pitch_path": [
              0,
              1,
              3,
              4,
              6,
              7,
              9,
              10
            ],
            "reflected_word": [
              2,
              1,
              2,
              1,
              2,
              1,
              2,
              1
            ],
            "reflection_target": 2,
            "relation": "pair",
            "rotation": 1,
            "word": [
              1,
              2,
              1,
              2,
              1,
              2,
              1,
              2
            ]
          },
          {
            "pitch_path": [
              0,
              2,
              3,
              5,
              6,
              8,
              9,
              11
            ],
            "reflected_word": [
              1,
              2,
              1,
              2,
              1,
              2,
              1,
              2
            ],
            "reflection_target": 1,
            "relation": "pair",
            "rotation": 2,
            "word": [
              2,
              1,
              2,
              1,
              2,
              1,
              2,
              1
            ]
          }
        ],
        "self_reflections": 0,
        "word": [
          1,
          2,
          1,
          2,
          1,
          2,
          1,
          2
        ]
      },
      "lifts": {
        "2": {
          "mirror_lift": {
            "cardinality": 16,
            "closed_under_reflection": true,
            "distinct_rotations": 16,
            "external_reflections": 0,
            "mirror_pairs": 7,
            "modulus": 24,
            "rotations": [
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  6,
                  7,
                  9,
                  10,
                  12,
                  14,
                  15,
                  17,
                  18,
                  20,
                  21,
                  23
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1
                ],
                "reflection_target": 1,
                "relation": "self",
                "rotation": 1,
                "word": [
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  5,
                  6,
                  8,
                  9,
                  11,
                  13,
                  14,
                  16,
                  17,
                  19,
                  20,
                  22,
                  23
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2
                ],
                "reflection_target": 16,
                "relation": "pair",
                "rotation": 2,
                "word": [
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  6,
                  7,
                  9,
                  11,
                  12,
                  14,
                  15,
                  17,
                  18,
                  20,
                  21,
                  22
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1
                ],
                "reflection_target": 15,
                "relation": "pair",
                "rotation": 3,
                "word": [
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  5,
                  6,
                  8,
                  10,
                  11,
                  13,
                  14,
                  16,
                  17,
                  19,
                  20,
                  21,
                  23
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2
                ],
                "reflection_target": 14,
                "relation": "pair",
                "rotation": 4,
                "word": [
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  6,
                  8,
                  9,
                  11,
                  12,
                  14,
                  15,
                  17,
                  18,
                  19,
                  21,
                  22
                ],
                "reflected_word": [
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1
                ],
                "reflection_target": 13,
                "relation": "pair",
                "rotation": 5,
                "word": [
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  5,
                  7,
                  8,
                  10,
                  11,
                  13,
                  14,
                  16,
                  17,
                  18,
                  20,
                  21,
                  23
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2
                ],
                "reflection_target": 12,
                "relation": "pair",
                "rotation": 6,
                "word": [
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  5,
                  6,
                  8,
                  9,
                  11,
                  12,
                  14,
                  15,
                  16,
                  18,
                  19,
                  21,
                  22
                ],
                "reflected_word": [
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1
                ],
                "reflection_target": 11,
                "relation": "pair",
                "rotation": 7,
                "word": [
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  4,
                  5,
                  7,
                  8,
                  10,
                  11,
                  13,
                  14,
                  15,
                  17,
                  18,
                  20,
                  21,
                  23
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2
                ],
                "reflection_target": 10,
                "relation": "pair",
                "rotation": 8,
                "word": [
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  5,
                  6,
                  8,
                  9,
                  11,
                  12,
                  13,
                  15,
                  16,
                  18,
                  19,
                  21,
                  22
                ],
                "reflected_word": [
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2
                ],
                "reflection_target": 9,
                "relation": "self",
                "rotation": 9,
                "word": [
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  6,
                  7,
                  9,
                  10,
                  11,
                  13,
                  14,
                  16,
                  17,
                  19,
                  20,
                  22
                ],
                "reflected_word": [
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1
                ],
                "reflection_target": 8,
                "relation": "pair",
                "rotation": 10,
                "word": [
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  5,
                  6,
                  8,
                  9,
                  10,
                  12,
                  13,
                  15,
                  16,
                  18,
                  19,
                  21,
                  23
                ],
                "reflected_word": [
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2
                ],
                "reflection_target": 7,
                "relation": "pair",
                "rotation": 11,
                "word": [
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  6,
                  7,
                  8,
                  10,
                  11,
                  13,
                  14,
                  16,
                  17,
                  19,
                  21,
                  22
                ],
                "reflected_word": [
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1
                ],
                "reflection_target": 6,
                "relation": "pair",
                "rotation": 12,
                "word": [
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  5,
                  6,
                  7,
                  9,
                  10,
                  12,
                  13,
                  15,
                  16,
                  18,
                  20,
                  21,
                  23
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2
                ],
                "reflection_target": 5,
                "relation": "pair",
                "rotation": 13,
                "word": [
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  5,
                  7,
                  8,
                  10,
                  11,
                  13,
                  14,
                  16,
                  18,
                  19,
                  21,
                  22
                ],
                "reflected_word": [
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1
                ],
                "reflection_target": 4,
                "relation": "pair",
                "rotation": 14,
                "word": [
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  6,
                  7,
                  9,
                  10,
                  12,
                  13,
                  15,
                  17,
                  18,
                  20,
                  21,
                  23
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2
                ],
                "reflection_target": 3,
                "relation": "pair",
                "rotation": 15,
                "word": [
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  5,
                  7,
                  8,
                  10,
                  11,
                  13,
                  15,
                  16,
                  18,
                  19,
                  21,
                  22
                ],
                "reflected_word": [
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1
                ],
                "reflection_target": 2,
                "relation": "pair",
                "rotation": 16,
                "word": [
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2
                ]
              }
            ],
            "self_reflections": 2,
            "word": [
              1,
              2,
              1,
              2,
              1,
              2,
              1,
              2,
              2,
              1,
              2,
              1,
              2,
              1,
              2,
              1
            ]
          },
          "repeat": {
            "cardinality": 16,
            "closed_under_reflection": true,
            "distinct_rotations": 2,
            "external_reflections": 0,
            "mirror_pairs": 1,
            "modulus": 24,
            "rotations": [
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  6,
                  7,
                  9,
                  10,
                  12,
                  13,
                  15,
                  16,
                  18,
                  19,
                  21,
                  22
                ],
                "reflected_word": [
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1
                ],
                "reflection_target": 2,
                "relation": "pair",
                "rotation": 1,
                "word": [
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  5,
                  6,
                  8,
                  9,
                  11,
                  12,
                  14,
                  15,
                  17,
                  18,
                  20,
                  21,
                  23
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2
                ],
                "reflection_target": 1,
                "relation": "pair",
                "rotation": 2,
                "word": [
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1
                ]
              }
            ],
            "self_reflections": 0,
            "word": [
              1,
              2,
              1,
              2,
              1,
              2,
              1,
              2,
              1,
              2,
              1,
              2,
              1,
              2,
              1,
              2
            ]
          },
          "rotate_lift": {
            "cardinality": 16,
            "closed_under_reflection": true,
            "distinct_rotations": 16,
            "external_reflections": 0,
            "mirror_pairs": 7,
            "modulus": 24,
            "rotations": [
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  6,
                  7,
                  9,
                  10,
                  12,
                  14,
                  15,
                  17,
                  18,
                  20,
                  21,
                  23
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1
                ],
                "reflection_target": 1,
                "relation": "self",
                "rotation": 1,
                "word": [
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  5,
                  6,
                  8,
                  9,
                  11,
                  13,
                  14,
                  16,
                  17,
                  19,
                  20,
                  22,
                  23
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2
                ],
                "reflection_target": 16,
                "relation": "pair",
                "rotation": 2,
                "word": [
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  6,
                  7,
                  9,
                  11,
                  12,
                  14,
                  15,
                  17,
                  18,
                  20,
                  21,
                  22
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1
                ],
                "reflection_target": 15,
                "relation": "pair",
                "rotation": 3,
                "word": [
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  5,
                  6,
                  8,
                  10,
                  11,
                  13,
                  14,
                  16,
                  17,
                  19,
                  20,
                  21,
                  23
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2
                ],
                "reflection_target": 14,
                "relation": "pair",
                "rotation": 4,
                "word": [
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  6,
                  8,
                  9,
                  11,
                  12,
                  14,
                  15,
                  17,
                  18,
                  19,
                  21,
                  22
                ],
                "reflected_word": [
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1
                ],
                "reflection_target": 13,
                "relation": "pair",
                "rotation": 5,
                "word": [
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  5,
                  7,
                  8,
                  10,
                  11,
                  13,
                  14,
                  16,
                  17,
                  18,
                  20,
                  21,
                  23
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2
                ],
                "reflection_target": 12,
                "relation": "pair",
                "rotation": 6,
                "word": [
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  5,
                  6,
                  8,
                  9,
                  11,
                  12,
                  14,
                  15,
                  16,
                  18,
                  19,
                  21,
                  22
                ],
                "reflected_word": [
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1
                ],
                "reflection_target": 11,
                "relation": "pair",
                "rotation": 7,
                "word": [
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  4,
                  5,
                  7,
                  8,
                  10,
                  11,
                  13,
                  14,
                  15,
                  17,
                  18,
                  20,
                  21,
                  23
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2
                ],
                "reflection_target": 10,
                "relation": "pair",
                "rotation": 8,
                "word": [
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  5,
                  6,
                  8,
                  9,
                  11,
                  12,
                  13,
                  15,
                  16,
                  18,
                  19,
                  21,
                  22
                ],
                "reflected_word": [
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2
                ],
                "reflection_target": 9,
                "relation": "self",
                "rotation": 9,
                "word": [
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  6,
                  7,
                  9,
                  10,
                  11,
                  13,
                  14,
                  16,
                  17,
                  19,
                  20,
                  22
                ],
                "reflected_word": [
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1
                ],
                "reflection_target": 8,
                "relation": "pair",
                "rotation": 10,
                "word": [
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  5,
                  6,
                  8,
                  9,
                  10,
                  12,
                  13,
                  15,
                  16,
                  18,
                  19,
                  21,
                  23
                ],
                "reflected_word": [
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2
                ],
                "reflection_target": 7,
                "relation": "pair",
                "rotation": 11,
                "word": [
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  6,
                  7,
                  8,
                  10,
                  11,
                  13,
                  14,
                  16,
                  17,
                  19,
                  21,
                  22
                ],
                "reflected_word": [
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1
                ],
                "reflection_target": 6,
                "relation": "pair",
                "rotation": 12,
                "word": [
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  5,
                  6,
                  7,
                  9,
                  10,
                  12,
                  13,
                  15,
                  16,
                  18,
                  20,
                  21,
                  23
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2
                ],
                "reflection_target": 5,
                "relation": "pair",
                "rotation": 13,
                "word": [
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  5,
                  7,
                  8,
                  10,
                  11,
                  13,
                  14,
                  16,
                  18,
                  19,
                  21,
                  22
                ],
                "reflected_word": [
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1
                ],
                "reflection_target": 4,
                "relation": "pair",
                "rotation": 14,
                "word": [
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  6,
                  7,
                  9,
                  10,
                  12,
                  13,
                  15,
                  17,
                  18,
                  20,
                  21,
                  23
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2
                ],
                "reflection_target": 3,
                "relation": "pair",
                "rotation": 15,
                "word": [
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  5,
                  7,
                  8,
                  10,
                  11,
                  13,
                  15,
                  16,
                  18,
                  19,
                  21,
                  22
                ],
                "reflected_word": [
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1
                ],
                "reflection_target": 2,
                "relation": "pair",
                "rotation": 16,
                "word": [
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2
                ]
              }
            ],
            "self_reflections": 2,
            "word": [
              1,
              2,
              1,
              2,
              1,
              2,
              1,
              2,
              2,
              1,
              2,
              1,
              2,
              1,
              2,
              1
            ]
          }
        },
        "3": {
          "mirror_lift": {
            "cardinality": 24,
            "closed_under_reflection": false,
            "distinct_rotations": 24,
            "external_reflections": 24,
            "mirror_pairs": 0,
            "modulus": 36,
            "rotations": [
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  6,
                  7,
                  9,
                  10,
                  12,
                  14,
                  15,
                  17,
                  18,
                  20,
                  21,
                  23,
                  24,
                  25,
                  27,
                  28,
                  30,
                  31,
                  33,
                  34
                ],
                "reflected_word": [
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 1,
                "word": [
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  5,
                  6,
                  8,
                  9,
                  11,
                  13,
                  14,
                  16,
                  17,
                  19,
                  20,
                  22,
                  23,
                  24,
                  26,
                  27,
                  29,
                  30,
                  32,
                  33,
                  35
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 2,
                "word": [
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  6,
                  7,
                  9,
                  11,
                  12,
                  14,
                  15,
                  17,
                  18,
                  20,
                  21,
                  22,
                  24,
                  25,
                  27,
                  28,
                  30,
                  31,
                  33,
                  34
                ],
                "reflected_word": [
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 3,
                "word": [
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  5,
                  6,
                  8,
                  10,
                  11,
                  13,
                  14,
                  16,
                  17,
                  19,
                  20,
                  21,
                  23,
                  24,
                  26,
                  27,
                  29,
                  30,
                  32,
                  33,
                  35
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 4,
                "word": [
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  6,
                  8,
                  9,
                  11,
                  12,
                  14,
                  15,
                  17,
                  18,
                  19,
                  21,
                  22,
                  24,
                  25,
                  27,
                  28,
                  30,
                  31,
                  33,
                  34
                ],
                "reflected_word": [
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 5,
                "word": [
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  5,
                  7,
                  8,
                  10,
                  11,
                  13,
                  14,
                  16,
                  17,
                  18,
                  20,
                  21,
                  23,
                  24,
                  26,
                  27,
                  29,
                  30,
                  32,
                  33,
                  35
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 6,
                "word": [
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  5,
                  6,
                  8,
                  9,
                  11,
                  12,
                  14,
                  15,
                  16,
                  18,
                  19,
                  21,
                  22,
                  24,
                  25,
                  27,
                  28,
                  30,
                  31,
                  33,
                  34
                ],
                "reflected_word": [
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 7,
                "word": [
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  4,
                  5,
                  7,
                  8,
                  10,
                  11,
                  13,
                  14,
                  15,
                  17,
                  18,
                  20,
                  21,
                  23,
                  24,
                  26,
                  27,
                  29,
                  30,
                  32,
                  33,
                  35
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 8,
                "word": [
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  5,
                  6,
                  8,
                  9,
                  11,
                  12,
                  13,
                  15,
                  16,
                  18,
                  19,
                  21,
                  22,
                  24,
                  25,
                  27,
                  28,
                  30,
                  31,
                  33,
                  34
                ],
                "reflected_word": [
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 9,
                "word": [
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  6,
                  7,
                  9,
                  10,
                  11,
                  13,
                  14,
                  16,
                  17,
                  19,
                  20,
                  22,
                  23,
                  25,
                  26,
                  28,
                  29,
                  31,
                  32,
                  34
                ],
                "reflected_word": [
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 10,
                "word": [
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  5,
                  6,
                  8,
                  9,
                  10,
                  12,
                  13,
                  15,
                  16,
                  18,
                  19,
                  21,
                  22,
                  24,
                  25,
                  27,
                  28,
                  30,
                  31,
                  33,
                  35
                ],
                "reflected_word": [
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 11,
                "word": [
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  6,
                  7,
                  8,
                  10,
                  11,
                  13,
                  14,
                  16,
                  17,
                  19,
                  20,
                  22,
                  23,
                  25,
                  26,
                  28,
                  29,
                  31,
                  33,
                  34
                ],
                "reflected_word": [
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 12,
                "word": [
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  5,
                  6,
                  7,
                  9,
                  10,
                  12,
                  13,
                  15,
                  16,
                  18,
                  19,
                  21,
                  22,
                  24,
                  25,
                  27,
                  28,
                  30,
                  32,
                  33,
                  35
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 13,
                "word": [
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  5,
                  7,
                  8,
                  10,
                  11,
                  13,
                  14,
                  16,
                  17,
                  19,
                  20,
                  22,
                  23,
                  25,
                  26,
                  28,
                  30,
                  31,
                  33,
                  34
                ],
                "reflected_word": [
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 14,
                "word": [
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  6,
                  7,
                  9,
                  10,
                  12,
                  13,
                  15,
                  16,
                  18,
                  19,
                  21,
                  22,
                  24,
                  25,
                  27,
                  29,
                  30,
                  32,
                  33,
                  35
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 15,
                "word": [
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  5,
                  7,
                  8,
                  10,
                  11,
                  13,
                  14,
                  16,
                  17,
                  19,
                  20,
                  22,
                  23,
                  25,
                  27,
                  28,
                  30,
                  31,
                  33,
                  34
                ],
                "reflected_word": [
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 16,
                "word": [
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  6,
                  7,
                  9,
                  10,
                  12,
                  13,
                  15,
                  16,
                  18,
                  19,
                  21,
                  22,
                  24,
                  26,
                  27,
                  29,
                  30,
                  32,
                  33,
                  35
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 17,
                "word": [
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  5,
                  6,
                  8,
                  9,
                  11,
                  12,
                  14,
                  15,
                  17,
                  18,
                  20,
                  21,
                  23,
                  25,
                  26,
                  28,
                  29,
                  31,
                  32,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 18,
                "word": [
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  6,
                  7,
                  9,
                  10,
                  12,
                  13,
                  15,
                  16,
                  18,
                  19,
                  21,
                  23,
                  24,
                  26,
                  27,
                  29,
                  30,
                  32,
                  33,
                  34
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 19,
                "word": [
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  5,
                  6,
                  8,
                  9,
                  11,
                  12,
                  14,
                  15,
                  17,
                  18,
                  20,
                  22,
                  23,
                  25,
                  26,
                  28,
                  29,
                  31,
                  32,
                  33,
                  35
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 20,
                "word": [
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  6,
                  7,
                  9,
                  10,
                  12,
                  13,
                  15,
                  16,
                  18,
                  20,
                  21,
                  23,
                  24,
                  26,
                  27,
                  29,
                  30,
                  31,
                  33,
                  34
                ],
                "reflected_word": [
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 21,
                "word": [
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  5,
                  6,
                  8,
                  9,
                  11,
                  12,
                  14,
                  15,
                  17,
                  19,
                  20,
                  22,
                  23,
                  25,
                  26,
                  28,
                  29,
                  30,
                  32,
                  33,
                  35
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 22,
                "word": [
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  6,
                  7,
                  9,
                  10,
                  12,
                  13,
                  15,
                  17,
                  18,
                  20,
                  21,
                  23,
                  24,
                  26,
                  27,
                  28,
                  30,
                  31,
                  33,
                  34
                ],
                "reflected_word": [
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 23,
                "word": [
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  5,
                  6,
                  8,
                  9,
                  11,
                  12,
                  14,
                  16,
                  17,
                  19,
                  20,
                  22,
                  23,
                  25,
                  26,
                  27,
                  29,
                  30,
                  32,
                  33,
                  35
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 24,
                "word": [
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1
                ]
              }
            ],
            "self_reflections": 0,
            "word": [
              1,
              2,
              1,
              2,
              1,
              2,
              1,
              2,
              2,
              1,
              2,
              1,
              2,
              1,
              2,
              1,
              1,
              2,
              1,
              2,
              1,
              2,
              1,
              2
            ]
          },
          "repeat": {
            "cardinality": 24,
            "closed_under_reflection": true,
            "distinct_rotations": 2,
            "external_reflections": 0,
            "mirror_pairs": 1,
            "modulus": 36,
            "rotations": [
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  6,
                  7,
                  9,
                  10,
                  12,
                  13,
                  15,
                  16,
                  18,
                  19,
                  21,
                  22,
                  24,
                  25,
                  27,
                  28,
                  30,
                  31,
                  33,
                  34
                ],
                "reflected_word": [
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1
                ],
                "reflection_target": 2,
                "relation": "pair",
                "rotation": 1,
                "word": [
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  5,
                  6,
                  8,
                  9,
                  11,
                  12,
                  14,
                  15,
                  17,
                  18,
                  20,
                  21,
                  23,
                  24,
                  26,
                  27,
                  29,
                  30,
                  32,
                  33,
                  35
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2
                ],
                "reflection_target": 1,
                "relation": "pair",
                "rotation": 2,
                "word": [
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1
                ]
              }
            ],
            "self_reflections": 0,
            "word": [
              1,
              2,
              1,
              2,
              1,
              2,
              1,
              2,
              1,
              2,
              1,
              2,
              1,
              2,
              1,
              2,
              1,
              2,
              1,
              2,
              1,
              2,
              1,
              2
            ]
          },
          "rotate_lift": {
            "cardinality": 24,
            "closed_under_reflection": false,
            "distinct_rotations": 24,
            "external_reflections": 24,
            "mirror_pairs": 0,
            "modulus": 36,
            "rotations": [
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  6,
                  7,
                  9,
                  10,
                  12,
                  14,
                  15,
                  17,
                  18,
                  20,
                  21,
                  23,
                  24,
                  25,
                  27,
                  28,
                  30,
                  31,
                  33,
                  34
                ],
                "reflected_word": [
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 1,
                "word": [
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  5,
                  6,
                  8,
                  9,
                  11,
                  13,
                  14,
                  16,
                  17,
                  19,
                  20,
                  22,
                  23,
                  24,
                  26,
                  27,
                  29,
                  30,
                  32,
                  33,
                  35
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 2,
                "word": [
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  6,
                  7,
                  9,
                  11,
                  12,
                  14,
                  15,
                  17,
                  18,
                  20,
                  21,
                  22,
                  24,
                  25,
                  27,
                  28,
                  30,
                  31,
                  33,
                  34
                ],
                "reflected_word": [
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 3,
                "word": [
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  5,
                  6,
                  8,
                  10,
                  11,
                  13,
                  14,
                  16,
                  17,
                  19,
                  20,
                  21,
                  23,
                  24,
                  26,
                  27,
                  29,
                  30,
                  32,
                  33,
                  35
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 4,
                "word": [
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  6,
                  8,
                  9,
                  11,
                  12,
                  14,
                  15,
                  17,
                  18,
                  19,
                  21,
                  22,
                  24,
                  25,
                  27,
                  28,
                  30,
                  31,
                  33,
                  34
                ],
                "reflected_word": [
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 5,
                "word": [
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  5,
                  7,
                  8,
                  10,
                  11,
                  13,
                  14,
                  16,
                  17,
                  18,
                  20,
                  21,
                  23,
                  24,
                  26,
                  27,
                  29,
                  30,
                  32,
                  33,
                  35
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 6,
                "word": [
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  5,
                  6,
                  8,
                  9,
                  11,
                  12,
                  14,
                  15,
                  16,
                  18,
                  19,
                  21,
                  22,
                  24,
                  25,
                  27,
                  28,
                  30,
                  31,
                  33,
                  34
                ],
                "reflected_word": [
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 7,
                "word": [
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  4,
                  5,
                  7,
                  8,
                  10,
                  11,
                  13,
                  14,
                  15,
                  17,
                  18,
                  20,
                  21,
                  23,
                  24,
                  26,
                  27,
                  29,
                  30,
                  32,
                  33,
                  35
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 8,
                "word": [
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  5,
                  6,
                  8,
                  9,
                  11,
                  12,
                  13,
                  15,
                  16,
                  18,
                  19,
                  21,
                  22,
                  24,
                  25,
                  27,
                  28,
                  30,
                  31,
                  33,
                  34
                ],
                "reflected_word": [
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 9,
                "word": [
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  6,
                  7,
                  9,
                  10,
                  11,
                  13,
                  14,
                  16,
                  17,
                  19,
                  20,
                  22,
                  23,
                  25,
                  26,
                  28,
                  29,
                  31,
                  32,
                  34
                ],
                "reflected_word": [
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 10,
                "word": [
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  5,
                  6,
                  8,
                  9,
                  10,
                  12,
                  13,
                  15,
                  16,
                  18,
                  19,
                  21,
                  22,
                  24,
                  25,
                  27,
                  28,
                  30,
                  31,
                  33,
                  35
                ],
                "reflected_word": [
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 11,
                "word": [
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  6,
                  7,
                  8,
                  10,
                  11,
                  13,
                  14,
                  16,
                  17,
                  19,
                  20,
                  22,
                  23,
                  25,
                  26,
                  28,
                  29,
                  31,
                  33,
                  34
                ],
                "reflected_word": [
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 12,
                "word": [
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  5,
                  6,
                  7,
                  9,
                  10,
                  12,
                  13,
                  15,
                  16,
                  18,
                  19,
                  21,
                  22,
                  24,
                  25,
                  27,
                  28,
                  30,
                  32,
                  33,
                  35
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 13,
                "word": [
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  5,
                  7,
                  8,
                  10,
                  11,
                  13,
                  14,
                  16,
                  17,
                  19,
                  20,
                  22,
                  23,
                  25,
                  26,
                  28,
                  30,
                  31,
                  33,
                  34
                ],
                "reflected_word": [
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 14,
                "word": [
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  6,
                  7,
                  9,
                  10,
                  12,
                  13,
                  15,
                  16,
                  18,
                  19,
                  21,
                  22,
                  24,
                  25,
                  27,
                  29,
                  30,
                  32,
                  33,
                  35
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 15,
                "word": [
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  5,
                  7,
                  8,
                  10,
                  11,
                  13,
                  14,
                  16,
                  17,
                  19,
                  20,
                  22,
                  23,
                  25,
                  27,
                  28,
                  30,
                  31,
                  33,
                  34
                ],
                "reflected_word": [
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 16,
                "word": [
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  6,
                  7,
                  9,
                  10,
                  12,
                  13,
                  15,
                  16,
                  18,
                  19,
                  21,
                  22,
                  24,
                  26,
                  27,
                  29,
                  30,
                  32,
                  33,
                  35
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 17,
                "word": [
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  5,
                  6,
                  8,
                  9,
                  11,
                  12,
                  14,
                  15,
                  17,
                  18,
                  20,
                  21,
                  23,
                  25,
                  26,
                  28,
                  29,
                  31,
                  32,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 18,
                "word": [
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  6,
                  7,
                  9,
                  10,
                  12,
                  13,
                  15,
                  16,
                  18,
                  19,
                  21,
                  23,
                  24,
                  26,
                  27,
                  29,
                  30,
                  32,
                  33,
                  34
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 19,
                "word": [
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  5,
                  6,
                  8,
                  9,
                  11,
                  12,
                  14,
                  15,
                  17,
                  18,
                  20,
                  22,
                  23,
                  25,
                  26,
                  28,
                  29,
                  31,
                  32,
                  33,
                  35
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 20,
                "word": [
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  6,
                  7,
                  9,
                  10,
                  12,
                  13,
                  15,
                  16,
                  18,
                  20,
                  21,
                  23,
                  24,
                  26,
                  27,
                  29,
                  30,
                  31,
                  33,
                  34
                ],
                "reflected_word": [
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 21,
                "word": [
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  5,
                  6,
                  8,
                  9,
                  11,
                  12,
                  14,
                  15,
                  17,
                  19,
                  20,
                  22,
                  23,
                  25,
                  26,
                  28,
                  29,
                  30,
                  32,
                  33,
                  35
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 22,
                "word": [
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  6,
                  7,
                  9,
                  10,
                  12,
                  13,
                  15,
                  17,
                  18,
                  20,
                  21,
                  23,
                  24,
                  26,
                  27,
                  28,
                  30,
                  31,
                  33,
                  34
                ],
                "reflected_word": [
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 23,
                "word": [
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  5,
                  6,
                  8,
                  9,
                  11,
                  12,
                  14,
                  16,
                  17,
                  19,
                  20,
                  22,
                  23,
                  25,
                  26,
                  27,
                  29,
                  30,
                  32,
                  33,
                  35
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 24,
                "word": [
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1
                ]
              }
            ],
            "self_reflections": 0,
            "word": [
              1,
              2,
              1,
              2,
              1,
              2,
              1,
              2,
              2,
              1,
              2,
              1,
              2,
              1,
              2,
              1,
              1,
              2,
              1,
              2,
              1,
              2,
              1,
              2
            ]
          }
        },
        "4": {
          "mirror_lift": {
            "cardinality": 32,
            "closed_under_reflection": true,
            "distinct_rotations": 16,
            "external_reflections": 0,
            "mirror_pairs": 7,
            "modulus": 48,
            "rotations": [
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  6,
                  7,
                  9,
                  10,
                  12,
                  14,
                  15,
                  17,
                  18,
                  20,
                  21,
                  23,
                  24,
                  25,
                  27,
                  28,
                  30,
                  31,
                  33,
                  34,
                  36,
                  38,
                  39,
                  41,
                  42,
                  44,
                  45,
                  47
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1
                ],
                "reflection_target": 1,
                "relation": "self",
                "rotation": 1,
                "word": [
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  5,
                  6,
                  8,
                  9,
                  11,
                  13,
                  14,
                  16,
                  17,
                  19,
                  20,
                  22,
                  23,
                  24,
                  26,
                  27,
                  29,
                  30,
                  32,
                  33,
                  35,
                  37,
                  38,
                  40,
                  41,
                  43,
                  44,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2
                ],
                "reflection_target": 16,
                "relation": "pair",
                "rotation": 2,
                "word": [
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  6,
                  7,
                  9,
                  11,
                  12,
                  14,
                  15,
                  17,
                  18,
                  20,
                  21,
                  22,
                  24,
                  25,
                  27,
                  28,
                  30,
                  31,
                  33,
                  35,
                  36,
                  38,
                  39,
                  41,
                  42,
                  44,
                  45,
                  46
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1
                ],
                "reflection_target": 15,
                "relation": "pair",
                "rotation": 3,
                "word": [
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  5,
                  6,
                  8,
                  10,
                  11,
                  13,
                  14,
                  16,
                  17,
                  19,
                  20,
                  21,
                  23,
                  24,
                  26,
                  27,
                  29,
                  30,
                  32,
                  34,
                  35,
                  37,
                  38,
                  40,
                  41,
                  43,
                  44,
                  45,
                  47
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2
                ],
                "reflection_target": 14,
                "relation": "pair",
                "rotation": 4,
                "word": [
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  6,
                  8,
                  9,
                  11,
                  12,
                  14,
                  15,
                  17,
                  18,
                  19,
                  21,
                  22,
                  24,
                  25,
                  27,
                  28,
                  30,
                  32,
                  33,
                  35,
                  36,
                  38,
                  39,
                  41,
                  42,
                  43,
                  45,
                  46
                ],
                "reflected_word": [
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1
                ],
                "reflection_target": 13,
                "relation": "pair",
                "rotation": 5,
                "word": [
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  5,
                  7,
                  8,
                  10,
                  11,
                  13,
                  14,
                  16,
                  17,
                  18,
                  20,
                  21,
                  23,
                  24,
                  26,
                  27,
                  29,
                  31,
                  32,
                  34,
                  35,
                  37,
                  38,
                  40,
                  41,
                  42,
                  44,
                  45,
                  47
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2
                ],
                "reflection_target": 12,
                "relation": "pair",
                "rotation": 6,
                "word": [
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  5,
                  6,
                  8,
                  9,
                  11,
                  12,
                  14,
                  15,
                  16,
                  18,
                  19,
                  21,
                  22,
                  24,
                  25,
                  27,
                  29,
                  30,
                  32,
                  33,
                  35,
                  36,
                  38,
                  39,
                  40,
                  42,
                  43,
                  45,
                  46
                ],
                "reflected_word": [
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1
                ],
                "reflection_target": 11,
                "relation": "pair",
                "rotation": 7,
                "word": [
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  4,
                  5,
                  7,
                  8,
                  10,
                  11,
                  13,
                  14,
                  15,
                  17,
                  18,
                  20,
                  21,
                  23,
                  24,
                  26,
                  28,
                  29,
                  31,
                  32,
                  34,
                  35,
                  37,
                  38,
                  39,
                  41,
                  42,
                  44,
                  45,
                  47
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2
                ],
                "reflection_target": 10,
                "relation": "pair",
                "rotation": 8,
                "word": [
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  5,
                  6,
                  8,
                  9,
                  11,
                  12,
                  13,
                  15,
                  16,
                  18,
                  19,
                  21,
                  22,
                  24,
                  26,
                  27,
                  29,
                  30,
                  32,
                  33,
                  35,
                  36,
                  37,
                  39,
                  40,
                  42,
                  43,
                  45,
                  46
                ],
                "reflected_word": [
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2
                ],
                "reflection_target": 9,
                "relation": "self",
                "rotation": 9,
                "word": [
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  6,
                  7,
                  9,
                  10,
                  11,
                  13,
                  14,
                  16,
                  17,
                  19,
                  20,
                  22,
                  24,
                  25,
                  27,
                  28,
                  30,
                  31,
                  33,
                  34,
                  35,
                  37,
                  38,
                  40,
                  41,
                  43,
                  44,
                  46
                ],
                "reflected_word": [
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1
                ],
                "reflection_target": 8,
                "relation": "pair",
                "rotation": 10,
                "word": [
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  5,
                  6,
                  8,
                  9,
                  10,
                  12,
                  13,
                  15,
                  16,
                  18,
                  19,
                  21,
                  23,
                  24,
                  26,
                  27,
                  29,
                  30,
                  32,
                  33,
                  34,
                  36,
                  37,
                  39,
                  40,
                  42,
                  43,
                  45,
                  47
                ],
                "reflected_word": [
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2
                ],
                "reflection_target": 7,
                "relation": "pair",
                "rotation": 11,
                "word": [
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  6,
                  7,
                  8,
                  10,
                  11,
                  13,
                  14,
                  16,
                  17,
                  19,
                  21,
                  22,
                  24,
                  25,
                  27,
                  28,
                  30,
                  31,
                  32,
                  34,
                  35,
                  37,
                  38,
                  40,
                  41,
                  43,
                  45,
                  46
                ],
                "reflected_word": [
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1
                ],
                "reflection_target": 6,
                "relation": "pair",
                "rotation": 12,
                "word": [
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  5,
                  6,
                  7,
                  9,
                  10,
                  12,
                  13,
                  15,
                  16,
                  18,
                  20,
                  21,
                  23,
                  24,
                  26,
                  27,
                  29,
                  30,
                  31,
                  33,
                  34,
                  36,
                  37,
                  39,
                  40,
                  42,
                  44,
                  45,
                  47
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2
                ],
                "reflection_target": 5,
                "relation": "pair",
                "rotation": 13,
                "word": [
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  5,
                  7,
                  8,
                  10,
                  11,
                  13,
                  14,
                  16,
                  18,
                  19,
                  21,
                  22,
                  24,
                  25,
                  27,
                  28,
                  29,
                  31,
                  32,
                  34,
                  35,
                  37,
                  38,
                  40,
                  42,
                  43,
                  45,
                  46
                ],
                "reflected_word": [
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1
                ],
                "reflection_target": 4,
                "relation": "pair",
                "rotation": 14,
                "word": [
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  6,
                  7,
                  9,
                  10,
                  12,
                  13,
                  15,
                  17,
                  18,
                  20,
                  21,
                  23,
                  24,
                  26,
                  27,
                  28,
                  30,
                  31,
                  33,
                  34,
                  36,
                  37,
                  39,
                  41,
                  42,
                  44,
                  45,
                  47
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2
                ],
                "reflection_target": 3,
                "relation": "pair",
                "rotation": 15,
                "word": [
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  5,
                  7,
                  8,
                  10,
                  11,
                  13,
                  15,
                  16,
                  18,
                  19,
                  21,
                  22,
                  24,
                  25,
                  26,
                  28,
                  29,
                  31,
                  32,
                  34,
                  35,
                  37,
                  39,
                  40,
                  42,
                  43,
                  45,
                  46
                ],
                "reflected_word": [
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1
                ],
                "reflection_target": 2,
                "relation": "pair",
                "rotation": 16,
                "word": [
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2
                ]
              }
            ],
            "self_reflections": 2,
            "word": [
              1,
              2,
              1,
              2,
              1,
              2,
              1,
              2,
              2,
              1,
              2,
              1,
              2,
              1,
              2,
              1,
              1,
              2,
              1,
              2,
              1,
              2,
              1,
              2,
              2,
              1,
              2,
              1,
              2,
              1,
              2,
              1
            ]
          },
          "repeat": {
            "cardinality": 32,
            "closed_under_reflection": true,
            "distinct_rotations": 2,
            "external_reflections": 0,
            "mirror_pairs": 1,
            "modulus": 48,
            "rotations": [
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  6,
                  7,
                  9,
                  10,
                  12,
                  13,
                  15,
                  16,
                  18,
                  19,
                  21,
                  22,
                  24,
                  25,
                  27,
                  28,
                  30,
                  31,
                  33,
                  34,
                  36,
                  37,
                  39,
                  40,
                  42,
                  43,
                  45,
                  46
                ],
                "reflected_word": [
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1
                ],
                "reflection_target": 2,
                "relation": "pair",
                "rotation": 1,
                "word": [
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  5,
                  6,
                  8,
                  9,
                  11,
                  12,
                  14,
                  15,
                  17,
                  18,
                  20,
                  21,
                  23,
                  24,
                  26,
                  27,
                  29,
                  30,
                  32,
                  33,
                  35,
                  36,
                  38,
                  39,
                  41,
                  42,
                  44,
                  45,
                  47
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2
                ],
                "reflection_target": 1,
                "relation": "pair",
                "rotation": 2,
                "word": [
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1
                ]
              }
            ],
            "self_reflections": 0,
            "word": [
              1,
              2,
              1,
              2,
              1,
              2,
              1,
              2,
              1,
              2,
              1,
              2,
              1,
              2,
              1,
              2,
              1,
              2,
              1,
              2,
              1,
              2,
              1,
              2,
              1,
              2,
              1,
              2,
              1,
              2,
              1,
              2
            ]
          },
          "rotate_lift": {
            "cardinality": 32,
            "closed_under_reflection": true,
            "distinct_rotations": 16,
            "external_reflections": 0,
            "mirror_pairs": 7,
            "modulus": 48,
            "rotations": [
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  6,
                  7,
                  9,
                  10,
                  12,
                  14,
                  15,
                  17,
                  18,
                  20,
                  21,
                  23,
                  24,
                  25,
                  27,
                  28,
                  30,
                  31,
                  33,
                  34,
                  36,
                  38,
                  39,
                  41,
                  42,
                  44,
                  45,
                  47
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1
                ],
                "reflection_target": 1,
                "relation": "self",
                "rotation": 1,
                "word": [
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  5,
                  6,
                  8,
                  9,
                  11,
                  13,
                  14,
                  16,
                  17,
                  19,
                  20,
                  22,
                  23,
                  24,
                  26,
                  27,
                  29,
                  30,
                  32,
                  33,
                  35,
                  37,
                  38,
                  40,
                  41,
                  43,
                  44,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2
                ],
                "reflection_target": 16,
                "relation": "pair",
                "rotation": 2,
                "word": [
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  6,
                  7,
                  9,
                  11,
                  12,
                  14,
                  15,
                  17,
                  18,
                  20,
                  21,
                  22,
                  24,
                  25,
                  27,
                  28,
                  30,
                  31,
                  33,
                  35,
                  36,
                  38,
                  39,
                  41,
                  42,
                  44,
                  45,
                  46
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1
                ],
                "reflection_target": 15,
                "relation": "pair",
                "rotation": 3,
                "word": [
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  5,
                  6,
                  8,
                  10,
                  11,
                  13,
                  14,
                  16,
                  17,
                  19,
                  20,
                  21,
                  23,
                  24,
                  26,
                  27,
                  29,
                  30,
                  32,
                  34,
                  35,
                  37,
                  38,
                  40,
                  41,
                  43,
                  44,
                  45,
                  47
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2
                ],
                "reflection_target": 14,
                "relation": "pair",
                "rotation": 4,
                "word": [
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  6,
                  8,
                  9,
                  11,
                  12,
                  14,
                  15,
                  17,
                  18,
                  19,
                  21,
                  22,
                  24,
                  25,
                  27,
                  28,
                  30,
                  32,
                  33,
                  35,
                  36,
                  38,
                  39,
                  41,
                  42,
                  43,
                  45,
                  46
                ],
                "reflected_word": [
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1
                ],
                "reflection_target": 13,
                "relation": "pair",
                "rotation": 5,
                "word": [
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  5,
                  7,
                  8,
                  10,
                  11,
                  13,
                  14,
                  16,
                  17,
                  18,
                  20,
                  21,
                  23,
                  24,
                  26,
                  27,
                  29,
                  31,
                  32,
                  34,
                  35,
                  37,
                  38,
                  40,
                  41,
                  42,
                  44,
                  45,
                  47
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2
                ],
                "reflection_target": 12,
                "relation": "pair",
                "rotation": 6,
                "word": [
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  5,
                  6,
                  8,
                  9,
                  11,
                  12,
                  14,
                  15,
                  16,
                  18,
                  19,
                  21,
                  22,
                  24,
                  25,
                  27,
                  29,
                  30,
                  32,
                  33,
                  35,
                  36,
                  38,
                  39,
                  40,
                  42,
                  43,
                  45,
                  46
                ],
                "reflected_word": [
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1
                ],
                "reflection_target": 11,
                "relation": "pair",
                "rotation": 7,
                "word": [
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  4,
                  5,
                  7,
                  8,
                  10,
                  11,
                  13,
                  14,
                  15,
                  17,
                  18,
                  20,
                  21,
                  23,
                  24,
                  26,
                  28,
                  29,
                  31,
                  32,
                  34,
                  35,
                  37,
                  38,
                  39,
                  41,
                  42,
                  44,
                  45,
                  47
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2
                ],
                "reflection_target": 10,
                "relation": "pair",
                "rotation": 8,
                "word": [
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  5,
                  6,
                  8,
                  9,
                  11,
                  12,
                  13,
                  15,
                  16,
                  18,
                  19,
                  21,
                  22,
                  24,
                  26,
                  27,
                  29,
                  30,
                  32,
                  33,
                  35,
                  36,
                  37,
                  39,
                  40,
                  42,
                  43,
                  45,
                  46
                ],
                "reflected_word": [
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2
                ],
                "reflection_target": 9,
                "relation": "self",
                "rotation": 9,
                "word": [
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  6,
                  7,
                  9,
                  10,
                  11,
                  13,
                  14,
                  16,
                  17,
                  19,
                  20,
                  22,
                  24,
                  25,
                  27,
                  28,
                  30,
                  31,
                  33,
                  34,
                  35,
                  37,
                  38,
                  40,
                  41,
                  43,
                  44,
                  46
                ],
                "reflected_word": [
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1
                ],
                "reflection_target": 8,
                "relation": "pair",
                "rotation": 10,
                "word": [
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  5,
                  6,
                  8,
                  9,
                  10,
                  12,
                  13,
                  15,
                  16,
                  18,
                  19,
                  21,
                  23,
                  24,
                  26,
                  27,
                  29,
                  30,
                  32,
                  33,
                  34,
                  36,
                  37,
                  39,
                  40,
                  42,
                  43,
                  45,
                  47
                ],
                "reflected_word": [
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2
                ],
                "reflection_target": 7,
                "relation": "pair",
                "rotation": 11,
                "word": [
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  6,
                  7,
                  8,
                  10,
                  11,
                  13,
                  14,
                  16,
                  17,
                  19,
                  21,
                  22,
                  24,
                  25,
                  27,
                  28,
                  30,
                  31,
                  32,
                  34,
                  35,
                  37,
                  38,
                  40,
                  41,
                  43,
                  45,
                  46
                ],
                "reflected_word": [
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1
                ],
                "reflection_target": 6,
                "relation": "pair",
                "rotation": 12,
                "word": [
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  5,
                  6,
                  7,
                  9,
                  10,
                  12,
                  13,
                  15,
                  16,
                  18,
                  20,
                  21,
                  23,
                  24,
                  26,
                  27,
                  29,
                  30,
                  31,
                  33,
                  34,
                  36,
                  37,
                  39,
                  40,
                  42,
                  44,
                  45,
                  47
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2
                ],
                "reflection_target": 5,
                "relation": "pair",
                "rotation": 13,
                "word": [
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  5,
                  7,
                  8,
                  10,
                  11,
                  13,
                  14,
                  16,
                  18,
                  19,
                  21,
                  22,
                  24,
                  25,
                  27,
                  28,
                  29,
                  31,
                  32,
                  34,
                  35,
                  37,
                  38,
                  40,
                  42,
                  43,
                  45,
                  46
                ],
                "reflected_word": [
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1
                ],
                "reflection_target": 4,
                "relation": "pair",
                "rotation": 14,
                "word": [
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  6,
                  7,
                  9,
                  10,
                  12,
                  13,
                  15,
                  17,
                  18,
                  20,
                  21,
                  23,
                  24,
                  26,
                  27,
                  28,
                  30,
                  31,
                  33,
                  34,
                  36,
                  37,
                  39,
                  41,
                  42,
                  44,
                  45,
                  47
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2
                ],
                "reflection_target": 3,
                "relation": "pair",
                "rotation": 15,
                "word": [
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  5,
                  7,
                  8,
                  10,
                  11,
                  13,
                  15,
                  16,
                  18,
                  19,
                  21,
                  22,
                  24,
                  25,
                  26,
                  28,
                  29,
                  31,
                  32,
                  34,
                  35,
                  37,
                  39,
                  40,
                  42,
                  43,
                  45,
                  46
                ],
                "reflected_word": [
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1
                ],
                "reflection_target": 2,
                "relation": "pair",
                "rotation": 16,
                "word": [
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2,
                  2,
                  1,
                  2,
                  1,
                  2,
                  1,
                  2
                ]
              }
            ],
            "self_reflections": 2,
            "word": [
              1,
              2,
              1,
              2,
              1,
              2,
              1,
              2,
              2,
              1,
              2,
              1,
              2,
              1,
              2,
              1,
              1,
              2,
              1,
              2,
              1,
              2,
              1,
              2,
              2,
              1,
              2,
              1,
              2,
              1,
              2,
              1
            ]
          }
        }
      }
    },
    "m3": {
      "base": {
        "cardinality": 9,
        "closed_under_reflection": true,
        "distinct_rotations": 3,
        "external_reflections": 0,
        "mirror_pairs": 1,
        "modulus": 12,
        "rotations": [
          {
            "pitch_path": [
              0,
              2,
              3,
              4,
              6,
              7,
              8,
              10,
              11
            ],
            "reflected_word": [
              1,
              1,
              2,
              1,
              1,
              2,
              1,
              1,
              2
            ],
            "reflection_target": 2,
            "relation": "pair",
            "rotation": 1,
            "word": [
              2,
              1,
              1,
              2,
              1,
              1,
              2,
              1,
              1
            ]
          },
          {
            "pitch_path": [
              0,
              1,
              2,
              4,
              5,
              6,
              8,
              9,
              10
            ],
            "reflected_word": [
              2,
              1,
              1,
              2,
              1,
              1,
              2,
              1,
              1
            ],
            "reflection_target": 1,
            "relation": "pair",
            "rotation": 2,
            "word": [
              1,
              1,
              2,
              1,
              1,
              2,
              1,
              1,
              2
            ]
          },
          {
            "pitch_path": [
              0,
              1,
              3,
              4,
              5,
              7,
              8,
              9,
              11
            ],
            "reflected_word": [
              1,
              2,
              1,
              1,
              2,
              1,
              1,
              2,
              1
            ],
            "reflection_target": 3,
            "relation": "self",
            "rotation": 3,
            "word": [
              1,
              2,
              1,
              1,
              2,
              1,
              1,
              2,
              1
            ]
          }
        ],
        "self_reflections": 1,
        "word": [
          2,
          1,
          1,
          2,
          1,
          1,
          2,
          1,
          1
        ]
      },
      "lifts": {
        "2": {
          "mirror_lift": {
            "cardinality": 18,
            "closed_under_reflection": true,
            "distinct_rotations": 18,
            "external_reflections": 0,
            "mirror_pairs": 8,
            "modulus": 24,
            "rotations": [
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  6,
                  7,
                  8,
                  10,
                  11,
                  12,
                  13,
                  14,
                  16,
                  17,
                  18,
                  20,
                  21,
                  22
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2
                ],
                "reflection_target": 1,
                "relation": "self",
                "rotation": 1,
                "word": [
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  5,
                  6,
                  8,
                  9,
                  10,
                  11,
                  12,
                  14,
                  15,
                  16,
                  18,
                  19,
                  20,
                  22
                ],
                "reflected_word": [
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1
                ],
                "reflection_target": 18,
                "relation": "pair",
                "rotation": 2,
                "word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  5,
                  7,
                  8,
                  9,
                  10,
                  11,
                  13,
                  14,
                  15,
                  17,
                  18,
                  19,
                  21,
                  23
                ],
                "reflected_word": [
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1
                ],
                "reflection_target": 17,
                "relation": "pair",
                "rotation": 3,
                "word": [
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  6,
                  7,
                  8,
                  9,
                  10,
                  12,
                  13,
                  14,
                  16,
                  17,
                  18,
                  20,
                  22,
                  23
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2
                ],
                "reflection_target": 16,
                "relation": "pair",
                "rotation": 4,
                "word": [
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  5,
                  6,
                  7,
                  8,
                  10,
                  11,
                  12,
                  14,
                  15,
                  16,
                  18,
                  20,
                  21,
                  22
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1
                ],
                "reflection_target": 15,
                "relation": "pair",
                "rotation": 5,
                "word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  5,
                  6,
                  7,
                  9,
                  10,
                  11,
                  13,
                  14,
                  15,
                  17,
                  19,
                  20,
                  21,
                  23
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1
                ],
                "reflection_target": 14,
                "relation": "pair",
                "rotation": 6,
                "word": [
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  5,
                  6,
                  8,
                  9,
                  10,
                  12,
                  13,
                  14,
                  16,
                  18,
                  19,
                  20,
                  22,
                  23
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2
                ],
                "reflection_target": 13,
                "relation": "pair",
                "rotation": 7,
                "word": [
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  4,
                  6,
                  7,
                  8,
                  10,
                  11,
                  12,
                  14,
                  16,
                  17,
                  18,
                  20,
                  21,
                  22
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1
                ],
                "reflection_target": 12,
                "relation": "pair",
                "rotation": 8,
                "word": [
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  5,
                  6,
                  7,
                  9,
                  10,
                  11,
                  13,
                  15,
                  16,
                  17,
                  19,
                  20,
                  21,
                  23
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1
                ],
                "reflection_target": 11,
                "relation": "pair",
                "rotation": 9,
                "word": [
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  5,
                  6,
                  8,
                  9,
                  10,
                  12,
                  14,
                  15,
                  16,
                  18,
                  19,
                  20,
                  22,
                  23
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1
                ],
                "reflection_target": 10,
                "relation": "self",
                "rotation": 10,
                "word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  5,
                  7,
                  8,
                  9,
                  11,
                  13,
                  14,
                  15,
                  17,
                  18,
                  19,
                  21,
                  22,
                  23
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1
                ],
                "reflection_target": 9,
                "relation": "pair",
                "rotation": 11,
                "word": [
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  6,
                  7,
                  8,
                  10,
                  12,
                  13,
                  14,
                  16,
                  17,
                  18,
                  20,
                  21,
                  22,
                  23
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2
                ],
                "reflection_target": 8,
                "relation": "pair",
                "rotation": 12,
                "word": [
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  5,
                  6,
                  8,
                  10,
                  11,
                  12,
                  14,
                  15,
                  16,
                  18,
                  19,
                  20,
                  21,
                  22
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1
                ],
                "reflection_target": 7,
                "relation": "pair",
                "rotation": 13,
                "word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  5,
                  7,
                  9,
                  10,
                  11,
                  13,
                  14,
                  15,
                  17,
                  18,
                  19,
                  20,
                  21,
                  23
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1
                ],
                "reflection_target": 6,
                "relation": "pair",
                "rotation": 14,
                "word": [
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  6,
                  8,
                  9,
                  10,
                  12,
                  13,
                  14,
                  16,
                  17,
                  18,
                  19,
                  20,
                  22,
                  23
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2
                ],
                "reflection_target": 5,
                "relation": "pair",
                "rotation": 15,
                "word": [
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  6,
                  7,
                  8,
                  10,
                  11,
                  12,
                  14,
                  15,
                  16,
                  17,
                  18,
                  20,
                  21,
                  22
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1
                ],
                "reflection_target": 4,
                "relation": "pair",
                "rotation": 16,
                "word": [
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  5,
                  6,
                  7,
                  9,
                  10,
                  11,
                  13,
                  14,
                  15,
                  16,
                  17,
                  19,
                  20,
                  21,
                  23
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1
                ],
                "reflection_target": 3,
                "relation": "pair",
                "rotation": 17,
                "word": [
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  4,
                  5,
                  6,
                  8,
                  9,
                  10,
                  12,
                  13,
                  14,
                  15,
                  16,
                  18,
                  19,
                  20,
                  22,
                  23
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2
                ],
                "reflection_target": 2,
                "relation": "pair",
                "rotation": 18,
                "word": [
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1
                ]
              }
            ],
            "self_reflections": 2,
            "word": [
              2,
              1,
              1,
              2,
              1,
              1,
              2,
              1,
              1,
              1,
              1,
              2,
              1,
              1,
              2,
              1,
              1,
              2
            ]
          },
          "repeat": {
            "cardinality": 18,
            "closed_under_reflection": true,
            "distinct_rotations": 3,
            "external_reflections": 0,
            "mirror_pairs": 1,
            "modulus": 24,
            "rotations": [
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  6,
                  7,
                  8,
                  10,
                  11,
                  12,
                  14,
                  15,
                  16,
                  18,
                  19,
                  20,
                  22,
                  23
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2
                ],
                "reflection_target": 2,
                "relation": "pair",
                "rotation": 1,
                "word": [
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  5,
                  6,
                  8,
                  9,
                  10,
                  12,
                  13,
                  14,
                  16,
                  17,
                  18,
                  20,
                  21,
                  22
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1
                ],
                "reflection_target": 1,
                "relation": "pair",
                "rotation": 2,
                "word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  5,
                  7,
                  8,
                  9,
                  11,
                  12,
                  13,
                  15,
                  16,
                  17,
                  19,
                  20,
                  21,
                  23
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1
                ],
                "reflection_target": 3,
                "relation": "self",
                "rotation": 3,
                "word": [
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1
                ]
              }
            ],
            "self_reflections": 1,
            "word": [
              2,
              1,
              1,
              2,
              1,
              1,
              2,
              1,
              1,
              2,
              1,
              1,
              2,
              1,
              1,
              2,
              1,
              1
            ]
          },
          "rotate_lift": {
            "cardinality": 18,
            "closed_under_reflection": true,
            "distinct_rotations": 18,
            "external_reflections": 0,
            "mirror_pairs": 8,
            "modulus": 24,
            "rotations": [
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  6,
                  7,
                  8,
                  10,
                  11,
                  12,
                  13,
                  14,
                  16,
                  17,
                  18,
                  20,
                  21,
                  22
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2
                ],
                "reflection_target": 1,
                "relation": "self",
                "rotation": 1,
                "word": [
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  5,
                  6,
                  8,
                  9,
                  10,
                  11,
                  12,
                  14,
                  15,
                  16,
                  18,
                  19,
                  20,
                  22
                ],
                "reflected_word": [
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1
                ],
                "reflection_target": 18,
                "relation": "pair",
                "rotation": 2,
                "word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  5,
                  7,
                  8,
                  9,
                  10,
                  11,
                  13,
                  14,
                  15,
                  17,
                  18,
                  19,
                  21,
                  23
                ],
                "reflected_word": [
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1
                ],
                "reflection_target": 17,
                "relation": "pair",
                "rotation": 3,
                "word": [
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  6,
                  7,
                  8,
                  9,
                  10,
                  12,
                  13,
                  14,
                  16,
                  17,
                  18,
                  20,
                  22,
                  23
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2
                ],
                "reflection_target": 16,
                "relation": "pair",
                "rotation": 4,
                "word": [
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  5,
                  6,
                  7,
                  8,
                  10,
                  11,
                  12,
                  14,
                  15,
                  16,
                  18,
                  20,
                  21,
                  22
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1
                ],
                "reflection_target": 15,
                "relation": "pair",
                "rotation": 5,
                "word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  5,
                  6,
                  7,
                  9,
                  10,
                  11,
                  13,
                  14,
                  15,
                  17,
                  19,
                  20,
                  21,
                  23
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1
                ],
                "reflection_target": 14,
                "relation": "pair",
                "rotation": 6,
                "word": [
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  5,
                  6,
                  8,
                  9,
                  10,
                  12,
                  13,
                  14,
                  16,
                  18,
                  19,
                  20,
                  22,
                  23
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2
                ],
                "reflection_target": 13,
                "relation": "pair",
                "rotation": 7,
                "word": [
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  4,
                  6,
                  7,
                  8,
                  10,
                  11,
                  12,
                  14,
                  16,
                  17,
                  18,
                  20,
                  21,
                  22
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1
                ],
                "reflection_target": 12,
                "relation": "pair",
                "rotation": 8,
                "word": [
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  5,
                  6,
                  7,
                  9,
                  10,
                  11,
                  13,
                  15,
                  16,
                  17,
                  19,
                  20,
                  21,
                  23
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1
                ],
                "reflection_target": 11,
                "relation": "pair",
                "rotation": 9,
                "word": [
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  5,
                  6,
                  8,
                  9,
                  10,
                  12,
                  14,
                  15,
                  16,
                  18,
                  19,
                  20,
                  22,
                  23
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1
                ],
                "reflection_target": 10,
                "relation": "self",
                "rotation": 10,
                "word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  5,
                  7,
                  8,
                  9,
                  11,
                  13,
                  14,
                  15,
                  17,
                  18,
                  19,
                  21,
                  22,
                  23
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1
                ],
                "reflection_target": 9,
                "relation": "pair",
                "rotation": 11,
                "word": [
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  6,
                  7,
                  8,
                  10,
                  12,
                  13,
                  14,
                  16,
                  17,
                  18,
                  20,
                  21,
                  22,
                  23
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2
                ],
                "reflection_target": 8,
                "relation": "pair",
                "rotation": 12,
                "word": [
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  5,
                  6,
                  8,
                  10,
                  11,
                  12,
                  14,
                  15,
                  16,
                  18,
                  19,
                  20,
                  21,
                  22
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1
                ],
                "reflection_target": 7,
                "relation": "pair",
                "rotation": 13,
                "word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  5,
                  7,
                  9,
                  10,
                  11,
                  13,
                  14,
                  15,
                  17,
                  18,
                  19,
                  20,
                  21,
                  23
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1
                ],
                "reflection_target": 6,
                "relation": "pair",
                "rotation": 14,
                "word": [
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  6,
                  8,
                  9,
                  10,
                  12,
                  13,
                  14,
                  16,
                  17,
                  18,
                  19,
                  20,
                  22,
                  23
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2
                ],
                "reflection_target": 5,
                "relation": "pair",
                "rotation": 15,
                "word": [
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  6,
                  7,
                  8,
                  10,
                  11,
                  12,
                  14,
                  15,
                  16,
                  17,
                  18,
                  20,
                  21,
                  22
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1
                ],
                "reflection_target": 4,
                "relation": "pair",
                "rotation": 16,
                "word": [
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  5,
                  6,
                  7,
                  9,
                  10,
                  11,
                  13,
                  14,
                  15,
                  16,
                  17,
                  19,
                  20,
                  21,
                  23
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1
                ],
                "reflection_target": 3,
                "relation": "pair",
                "rotation": 17,
                "word": [
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  4,
                  5,
                  6,
                  8,
                  9,
                  10,
                  12,
                  13,
                  14,
                  15,
                  16,
                  18,
                  19,
                  20,
                  22,
                  23
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2
                ],
                "reflection_target": 2,
                "relation": "pair",
                "rotation": 18,
                "word": [
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1
                ]
              }
            ],
            "self_reflections": 2,
            "word": [
              2,
              1,
              1,
              2,
              1,
              1,
              2,
              1,
              1,
              1,
              1,
              2,
              1,
              1,
              2,
              1,
              1,
              2
            ]
          }
        },
        "3": {
          "mirror_lift": {
            "cardinality": 27,
            "closed_under_reflection": false,
            "distinct_rotations": 27,
            "external_reflections": 27,
            "mirror_pairs": 0,
            "modulus": 36,
            "rotations": [
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  6,
                  7,
                  8,
                  10,
                  11,
                  12,
                  13,
                  14,
                  16,
                  17,
                  18,
                  20,
                  21,
                  22,
                  24,
                  26,
                  27,
                  28,
                  30,
                  31,
                  32,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 1,
                "word": [
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  5,
                  6,
                  8,
                  9,
                  10,
                  11,
                  12,
                  14,
                  15,
                  16,
                  18,
                  19,
                  20,
                  22,
                  24,
                  25,
                  26,
                  28,
                  29,
                  30,
                  32,
                  33,
                  34
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 2,
                "word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  5,
                  7,
                  8,
                  9,
                  10,
                  11,
                  13,
                  14,
                  15,
                  17,
                  18,
                  19,
                  21,
                  23,
                  24,
                  25,
                  27,
                  28,
                  29,
                  31,
                  32,
                  33,
                  35
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 3,
                "word": [
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  6,
                  7,
                  8,
                  9,
                  10,
                  12,
                  13,
                  14,
                  16,
                  17,
                  18,
                  20,
                  22,
                  23,
                  24,
                  26,
                  27,
                  28,
                  30,
                  31,
                  32,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 4,
                "word": [
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  5,
                  6,
                  7,
                  8,
                  10,
                  11,
                  12,
                  14,
                  15,
                  16,
                  18,
                  20,
                  21,
                  22,
                  24,
                  25,
                  26,
                  28,
                  29,
                  30,
                  32,
                  33,
                  34
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 5,
                "word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  5,
                  6,
                  7,
                  9,
                  10,
                  11,
                  13,
                  14,
                  15,
                  17,
                  19,
                  20,
                  21,
                  23,
                  24,
                  25,
                  27,
                  28,
                  29,
                  31,
                  32,
                  33,
                  35
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 6,
                "word": [
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  5,
                  6,
                  8,
                  9,
                  10,
                  12,
                  13,
                  14,
                  16,
                  18,
                  19,
                  20,
                  22,
                  23,
                  24,
                  26,
                  27,
                  28,
                  30,
                  31,
                  32,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 7,
                "word": [
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  4,
                  6,
                  7,
                  8,
                  10,
                  11,
                  12,
                  14,
                  16,
                  17,
                  18,
                  20,
                  21,
                  22,
                  24,
                  25,
                  26,
                  28,
                  29,
                  30,
                  32,
                  33,
                  34
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 8,
                "word": [
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  5,
                  6,
                  7,
                  9,
                  10,
                  11,
                  13,
                  15,
                  16,
                  17,
                  19,
                  20,
                  21,
                  23,
                  24,
                  25,
                  27,
                  28,
                  29,
                  31,
                  32,
                  33,
                  35
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 9,
                "word": [
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  5,
                  6,
                  8,
                  9,
                  10,
                  12,
                  14,
                  15,
                  16,
                  18,
                  19,
                  20,
                  22,
                  23,
                  24,
                  26,
                  27,
                  28,
                  30,
                  31,
                  32,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 10,
                "word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  5,
                  7,
                  8,
                  9,
                  11,
                  13,
                  14,
                  15,
                  17,
                  18,
                  19,
                  21,
                  22,
                  23,
                  25,
                  26,
                  27,
                  29,
                  30,
                  31,
                  33,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 11,
                "word": [
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  6,
                  7,
                  8,
                  10,
                  12,
                  13,
                  14,
                  16,
                  17,
                  18,
                  20,
                  21,
                  22,
                  24,
                  25,
                  26,
                  28,
                  29,
                  30,
                  32,
                  33,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 12,
                "word": [
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  5,
                  6,
                  8,
                  10,
                  11,
                  12,
                  14,
                  15,
                  16,
                  18,
                  19,
                  20,
                  22,
                  23,
                  24,
                  26,
                  27,
                  28,
                  30,
                  31,
                  32,
                  33,
                  34
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 13,
                "word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  5,
                  7,
                  9,
                  10,
                  11,
                  13,
                  14,
                  15,
                  17,
                  18,
                  19,
                  21,
                  22,
                  23,
                  25,
                  26,
                  27,
                  29,
                  30,
                  31,
                  32,
                  33,
                  35
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 14,
                "word": [
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  6,
                  8,
                  9,
                  10,
                  12,
                  13,
                  14,
                  16,
                  17,
                  18,
                  20,
                  21,
                  22,
                  24,
                  25,
                  26,
                  28,
                  29,
                  30,
                  31,
                  32,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 15,
                "word": [
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  6,
                  7,
                  8,
                  10,
                  11,
                  12,
                  14,
                  15,
                  16,
                  18,
                  19,
                  20,
                  22,
                  23,
                  24,
                  26,
                  27,
                  28,
                  29,
                  30,
                  32,
                  33,
                  34
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 16,
                "word": [
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  5,
                  6,
                  7,
                  9,
                  10,
                  11,
                  13,
                  14,
                  15,
                  17,
                  18,
                  19,
                  21,
                  22,
                  23,
                  25,
                  26,
                  27,
                  28,
                  29,
                  31,
                  32,
                  33,
                  35
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 17,
                "word": [
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  4,
                  5,
                  6,
                  8,
                  9,
                  10,
                  12,
                  13,
                  14,
                  16,
                  17,
                  18,
                  20,
                  21,
                  22,
                  24,
                  25,
                  26,
                  27,
                  28,
                  30,
                  31,
                  32,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 18,
                "word": [
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  6,
                  7,
                  8,
                  10,
                  11,
                  12,
                  14,
                  15,
                  16,
                  18,
                  19,
                  20,
                  22,
                  23,
                  24,
                  25,
                  26,
                  28,
                  29,
                  30,
                  32,
                  33,
                  34
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 19,
                "word": [
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  5,
                  6,
                  8,
                  9,
                  10,
                  12,
                  13,
                  14,
                  16,
                  17,
                  18,
                  20,
                  21,
                  22,
                  23,
                  24,
                  26,
                  27,
                  28,
                  30,
                  31,
                  32,
                  34
                ],
                "reflected_word": [
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 20,
                "word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  5,
                  7,
                  8,
                  9,
                  11,
                  12,
                  13,
                  15,
                  16,
                  17,
                  19,
                  20,
                  21,
                  22,
                  23,
                  25,
                  26,
                  27,
                  29,
                  30,
                  31,
                  33,
                  35
                ],
                "reflected_word": [
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 21,
                "word": [
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  6,
                  7,
                  8,
                  10,
                  11,
                  12,
                  14,
                  15,
                  16,
                  18,
                  19,
                  20,
                  21,
                  22,
                  24,
                  25,
                  26,
                  28,
                  29,
                  30,
                  32,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 22,
                "word": [
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  5,
                  6,
                  8,
                  9,
                  10,
                  12,
                  13,
                  14,
                  16,
                  17,
                  18,
                  19,
                  20,
                  22,
                  23,
                  24,
                  26,
                  27,
                  28,
                  30,
                  32,
                  33,
                  34
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 23,
                "word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  5,
                  7,
                  8,
                  9,
                  11,
                  12,
                  13,
                  15,
                  16,
                  17,
                  18,
                  19,
                  21,
                  22,
                  23,
                  25,
                  26,
                  27,
                  29,
                  31,
                  32,
                  33,
                  35
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 24,
                "word": [
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  6,
                  7,
                  8,
                  10,
                  11,
                  12,
                  14,
                  15,
                  16,
                  17,
                  18,
                  20,
                  21,
                  22,
                  24,
                  25,
                  26,
                  28,
                  30,
                  31,
                  32,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 25,
                "word": [
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  5,
                  6,
                  8,
                  9,
                  10,
                  12,
                  13,
                  14,
                  15,
                  16,
                  18,
                  19,
                  20,
                  22,
                  23,
                  24,
                  26,
                  28,
                  29,
                  30,
                  32,
                  33,
                  34
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 26,
                "word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  5,
                  7,
                  8,
                  9,
                  11,
                  12,
                  13,
                  14,
                  15,
                  17,
                  18,
                  19,
                  21,
                  22,
                  23,
                  25,
                  27,
                  28,
                  29,
                  31,
                  32,
                  33,
                  35
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 27,
                "word": [
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1
                ]
              }
            ],
            "self_reflections": 0,
            "word": [
              2,
              1,
              1,
              2,
              1,
              1,
              2,
              1,
              1,
              1,
              1,
              2,
              1,
              1,
              2,
              1,
              1,
              2,
              2,
              1,
              1,
              2,
              1,
              1,
              2,
              1,
              1
            ]
          },
          "repeat": {
            "cardinality": 27,
            "closed_under_reflection": true,
            "distinct_rotations": 3,
            "external_reflections": 0,
            "mirror_pairs": 1,
            "modulus": 36,
            "rotations": [
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  6,
                  7,
                  8,
                  10,
                  11,
                  12,
                  14,
                  15,
                  16,
                  18,
                  19,
                  20,
                  22,
                  23,
                  24,
                  26,
                  27,
                  28,
                  30,
                  31,
                  32,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2
                ],
                "reflection_target": 2,
                "relation": "pair",
                "rotation": 1,
                "word": [
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  5,
                  6,
                  8,
                  9,
                  10,
                  12,
                  13,
                  14,
                  16,
                  17,
                  18,
                  20,
                  21,
                  22,
                  24,
                  25,
                  26,
                  28,
                  29,
                  30,
                  32,
                  33,
                  34
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1
                ],
                "reflection_target": 1,
                "relation": "pair",
                "rotation": 2,
                "word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  5,
                  7,
                  8,
                  9,
                  11,
                  12,
                  13,
                  15,
                  16,
                  17,
                  19,
                  20,
                  21,
                  23,
                  24,
                  25,
                  27,
                  28,
                  29,
                  31,
                  32,
                  33,
                  35
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1
                ],
                "reflection_target": 3,
                "relation": "self",
                "rotation": 3,
                "word": [
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1
                ]
              }
            ],
            "self_reflections": 1,
            "word": [
              2,
              1,
              1,
              2,
              1,
              1,
              2,
              1,
              1,
              2,
              1,
              1,
              2,
              1,
              1,
              2,
              1,
              1,
              2,
              1,
              1,
              2,
              1,
              1,
              2,
              1,
              1
            ]
          },
          "rotate_lift": {
            "cardinality": 27,
            "closed_under_reflection": true,
            "distinct_rotations": 27,
            "external_reflections": 0,
            "mirror_pairs": 13,
            "modulus": 36,
            "rotations": [
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  6,
                  7,
                  8,
                  10,
                  11,
                  12,
                  13,
                  14,
                  16,
                  17,
                  18,
                  20,
                  21,
                  22,
                  24,
                  25,
                  27,
                  28,
                  29,
                  31,
                  32,
                  33,
                  35
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2
                ],
                "reflection_target": 19,
                "relation": "pair",
                "rotation": 1,
                "word": [
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  5,
                  6,
                  8,
                  9,
                  10,
                  11,
                  12,
                  14,
                  15,
                  16,
                  18,
                  19,
                  20,
                  22,
                  23,
                  25,
                  26,
                  27,
                  29,
                  30,
                  31,
                  33,
                  34
                ],
                "reflected_word": [
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1
                ],
                "reflection_target": 18,
                "relation": "pair",
                "rotation": 2,
                "word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  5,
                  7,
                  8,
                  9,
                  10,
                  11,
                  13,
                  14,
                  15,
                  17,
                  18,
                  19,
                  21,
                  22,
                  24,
                  25,
                  26,
                  28,
                  29,
                  30,
                  32,
                  33,
                  35
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1
                ],
                "reflection_target": 17,
                "relation": "pair",
                "rotation": 3,
                "word": [
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  6,
                  7,
                  8,
                  9,
                  10,
                  12,
                  13,
                  14,
                  16,
                  17,
                  18,
                  20,
                  21,
                  23,
                  24,
                  25,
                  27,
                  28,
                  29,
                  31,
                  32,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2
                ],
                "reflection_target": 16,
                "relation": "pair",
                "rotation": 4,
                "word": [
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  5,
                  6,
                  7,
                  8,
                  10,
                  11,
                  12,
                  14,
                  15,
                  16,
                  18,
                  19,
                  21,
                  22,
                  23,
                  25,
                  26,
                  27,
                  29,
                  30,
                  32,
                  33,
                  34
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1
                ],
                "reflection_target": 15,
                "relation": "pair",
                "rotation": 5,
                "word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  5,
                  6,
                  7,
                  9,
                  10,
                  11,
                  13,
                  14,
                  15,
                  17,
                  18,
                  20,
                  21,
                  22,
                  24,
                  25,
                  26,
                  28,
                  29,
                  31,
                  32,
                  33,
                  35
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1
                ],
                "reflection_target": 14,
                "relation": "pair",
                "rotation": 6,
                "word": [
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  5,
                  6,
                  8,
                  9,
                  10,
                  12,
                  13,
                  14,
                  16,
                  17,
                  19,
                  20,
                  21,
                  23,
                  24,
                  25,
                  27,
                  28,
                  30,
                  31,
                  32,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2
                ],
                "reflection_target": 13,
                "relation": "pair",
                "rotation": 7,
                "word": [
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  4,
                  6,
                  7,
                  8,
                  10,
                  11,
                  12,
                  14,
                  15,
                  17,
                  18,
                  19,
                  21,
                  22,
                  23,
                  25,
                  26,
                  28,
                  29,
                  30,
                  32,
                  33,
                  34
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1
                ],
                "reflection_target": 12,
                "relation": "pair",
                "rotation": 8,
                "word": [
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  5,
                  6,
                  7,
                  9,
                  10,
                  11,
                  13,
                  14,
                  16,
                  17,
                  18,
                  20,
                  21,
                  22,
                  24,
                  25,
                  27,
                  28,
                  29,
                  31,
                  32,
                  33,
                  35
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1
                ],
                "reflection_target": 11,
                "relation": "pair",
                "rotation": 9,
                "word": [
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  5,
                  6,
                  8,
                  9,
                  10,
                  12,
                  13,
                  15,
                  16,
                  17,
                  19,
                  20,
                  21,
                  23,
                  24,
                  26,
                  27,
                  28,
                  30,
                  31,
                  32,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1
                ],
                "reflection_target": 10,
                "relation": "self",
                "rotation": 10,
                "word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  5,
                  7,
                  8,
                  9,
                  11,
                  12,
                  14,
                  15,
                  16,
                  18,
                  19,
                  20,
                  22,
                  23,
                  25,
                  26,
                  27,
                  29,
                  30,
                  31,
                  33,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1
                ],
                "reflection_target": 9,
                "relation": "pair",
                "rotation": 11,
                "word": [
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  6,
                  7,
                  8,
                  10,
                  11,
                  13,
                  14,
                  15,
                  17,
                  18,
                  19,
                  21,
                  22,
                  24,
                  25,
                  26,
                  28,
                  29,
                  30,
                  32,
                  33,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2
                ],
                "reflection_target": 8,
                "relation": "pair",
                "rotation": 12,
                "word": [
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  5,
                  6,
                  8,
                  9,
                  11,
                  12,
                  13,
                  15,
                  16,
                  17,
                  19,
                  20,
                  22,
                  23,
                  24,
                  26,
                  27,
                  28,
                  30,
                  31,
                  32,
                  33,
                  34
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1
                ],
                "reflection_target": 7,
                "relation": "pair",
                "rotation": 13,
                "word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  5,
                  7,
                  8,
                  10,
                  11,
                  12,
                  14,
                  15,
                  16,
                  18,
                  19,
                  21,
                  22,
                  23,
                  25,
                  26,
                  27,
                  29,
                  30,
                  31,
                  32,
                  33,
                  35
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1
                ],
                "reflection_target": 6,
                "relation": "pair",
                "rotation": 14,
                "word": [
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  6,
                  7,
                  9,
                  10,
                  11,
                  13,
                  14,
                  15,
                  17,
                  18,
                  20,
                  21,
                  22,
                  24,
                  25,
                  26,
                  28,
                  29,
                  30,
                  31,
                  32,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2
                ],
                "reflection_target": 5,
                "relation": "pair",
                "rotation": 15,
                "word": [
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  5,
                  7,
                  8,
                  9,
                  11,
                  12,
                  13,
                  15,
                  16,
                  18,
                  19,
                  20,
                  22,
                  23,
                  24,
                  26,
                  27,
                  28,
                  29,
                  30,
                  32,
                  33,
                  34
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1
                ],
                "reflection_target": 4,
                "relation": "pair",
                "rotation": 16,
                "word": [
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  6,
                  7,
                  8,
                  10,
                  11,
                  12,
                  14,
                  15,
                  17,
                  18,
                  19,
                  21,
                  22,
                  23,
                  25,
                  26,
                  27,
                  28,
                  29,
                  31,
                  32,
                  33,
                  35
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1
                ],
                "reflection_target": 3,
                "relation": "pair",
                "rotation": 17,
                "word": [
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  5,
                  6,
                  7,
                  9,
                  10,
                  11,
                  13,
                  14,
                  16,
                  17,
                  18,
                  20,
                  21,
                  22,
                  24,
                  25,
                  26,
                  27,
                  28,
                  30,
                  31,
                  32,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2
                ],
                "reflection_target": 2,
                "relation": "pair",
                "rotation": 18,
                "word": [
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  5,
                  7,
                  8,
                  9,
                  11,
                  12,
                  14,
                  15,
                  16,
                  18,
                  19,
                  20,
                  22,
                  23,
                  24,
                  25,
                  26,
                  28,
                  29,
                  30,
                  32,
                  33,
                  34
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1
                ],
                "reflection_target": 1,
                "relation": "pair",
                "rotation": 19,
                "word": [
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  6,
                  7,
                  8,
                  10,
                  11,
                  13,
                  14,
                  15,
                  17,
                  18,
                  19,
                  21,
                  22,
                  23,
                  24,
                  25,
                  27,
                  28,
                  29,
                  31,
                  32,
                  33,
                  35
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2
                ],
                "reflection_target": 27,
                "relation": "pair",
                "rotation": 20,
                "word": [
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  5,
                  6,
                  8,
                  9,
                  11,
                  12,
                  13,
                  15,
                  16,
                  17,
                  19,
                  20,
                  21,
                  22,
                  23,
                  25,
                  26,
                  27,
                  29,
                  30,
                  31,
                  33,
                  34
                ],
                "reflected_word": [
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1
                ],
                "reflection_target": 26,
                "relation": "pair",
                "rotation": 21,
                "word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  5,
                  7,
                  8,
                  10,
                  11,
                  12,
                  14,
                  15,
                  16,
                  18,
                  19,
                  20,
                  21,
                  22,
                  24,
                  25,
                  26,
                  28,
                  29,
                  30,
                  32,
                  33,
                  35
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1
                ],
                "reflection_target": 25,
                "relation": "pair",
                "rotation": 22,
                "word": [
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  6,
                  7,
                  9,
                  10,
                  11,
                  13,
                  14,
                  15,
                  17,
                  18,
                  19,
                  20,
                  21,
                  23,
                  24,
                  25,
                  27,
                  28,
                  29,
                  31,
                  32,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2
                ],
                "reflection_target": 24,
                "relation": "pair",
                "rotation": 23,
                "word": [
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  5,
                  7,
                  8,
                  9,
                  11,
                  12,
                  13,
                  15,
                  16,
                  17,
                  18,
                  19,
                  21,
                  22,
                  23,
                  25,
                  26,
                  27,
                  29,
                  30,
                  32,
                  33,
                  34
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1
                ],
                "reflection_target": 23,
                "relation": "pair",
                "rotation": 24,
                "word": [
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  6,
                  7,
                  8,
                  10,
                  11,
                  12,
                  14,
                  15,
                  16,
                  17,
                  18,
                  20,
                  21,
                  22,
                  24,
                  25,
                  26,
                  28,
                  29,
                  31,
                  32,
                  33,
                  35
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1
                ],
                "reflection_target": 22,
                "relation": "pair",
                "rotation": 25,
                "word": [
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  5,
                  6,
                  7,
                  9,
                  10,
                  11,
                  13,
                  14,
                  15,
                  16,
                  17,
                  19,
                  20,
                  21,
                  23,
                  24,
                  25,
                  27,
                  28,
                  30,
                  31,
                  32,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2
                ],
                "reflection_target": 21,
                "relation": "pair",
                "rotation": 26,
                "word": [
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  5,
                  7,
                  8,
                  9,
                  11,
                  12,
                  13,
                  14,
                  15,
                  17,
                  18,
                  19,
                  21,
                  22,
                  23,
                  25,
                  26,
                  28,
                  29,
                  30,
                  32,
                  33,
                  34
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1
                ],
                "reflection_target": 20,
                "relation": "pair",
                "rotation": 27,
                "word": [
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2
                ]
              }
            ],
            "self_reflections": 1,
            "word": [
              2,
              1,
              1,
              2,
              1,
              1,
              2,
              1,
              1,
              1,
              1,
              2,
              1,
              1,
              2,
              1,
              1,
              2,
              1,
              2,
              1,
              1,
              2,
              1,
              1,
              2,
              1
            ]
          }
        },
        "4": {
          "mirror_lift": {
            "cardinality": 36,
            "closed_under_reflection": true,
            "distinct_rotations": 18,
            "external_reflections": 0,
            "mirror_pairs": 8,
            "modulus": 48,
            "rotations": [
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  6,
                  7,
                  8,
                  10,
                  11,
                  12,
                  13,
                  14,
                  16,
                  17,
                  18,
                  20,
                  21,
                  22,
                  24,
                  26,
                  27,
                  28,
                  30,
                  31,
                  32,
                  34,
                  35,
                  36,
                  37,
                  38,
                  40,
                  41,
                  42,
                  44,
                  45,
                  46
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2
                ],
                "reflection_target": 1,
                "relation": "self",
                "rotation": 1,
                "word": [
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  5,
                  6,
                  8,
                  9,
                  10,
                  11,
                  12,
                  14,
                  15,
                  16,
                  18,
                  19,
                  20,
                  22,
                  24,
                  25,
                  26,
                  28,
                  29,
                  30,
                  32,
                  33,
                  34,
                  35,
                  36,
                  38,
                  39,
                  40,
                  42,
                  43,
                  44,
                  46
                ],
                "reflected_word": [
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1
                ],
                "reflection_target": 18,
                "relation": "pair",
                "rotation": 2,
                "word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  5,
                  7,
                  8,
                  9,
                  10,
                  11,
                  13,
                  14,
                  15,
                  17,
                  18,
                  19,
                  21,
                  23,
                  24,
                  25,
                  27,
                  28,
                  29,
                  31,
                  32,
                  33,
                  34,
                  35,
                  37,
                  38,
                  39,
                  41,
                  42,
                  43,
                  45,
                  47
                ],
                "reflected_word": [
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1
                ],
                "reflection_target": 17,
                "relation": "pair",
                "rotation": 3,
                "word": [
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  6,
                  7,
                  8,
                  9,
                  10,
                  12,
                  13,
                  14,
                  16,
                  17,
                  18,
                  20,
                  22,
                  23,
                  24,
                  26,
                  27,
                  28,
                  30,
                  31,
                  32,
                  33,
                  34,
                  36,
                  37,
                  38,
                  40,
                  41,
                  42,
                  44,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2
                ],
                "reflection_target": 16,
                "relation": "pair",
                "rotation": 4,
                "word": [
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  5,
                  6,
                  7,
                  8,
                  10,
                  11,
                  12,
                  14,
                  15,
                  16,
                  18,
                  20,
                  21,
                  22,
                  24,
                  25,
                  26,
                  28,
                  29,
                  30,
                  31,
                  32,
                  34,
                  35,
                  36,
                  38,
                  39,
                  40,
                  42,
                  44,
                  45,
                  46
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1
                ],
                "reflection_target": 15,
                "relation": "pair",
                "rotation": 5,
                "word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  5,
                  6,
                  7,
                  9,
                  10,
                  11,
                  13,
                  14,
                  15,
                  17,
                  19,
                  20,
                  21,
                  23,
                  24,
                  25,
                  27,
                  28,
                  29,
                  30,
                  31,
                  33,
                  34,
                  35,
                  37,
                  38,
                  39,
                  41,
                  43,
                  44,
                  45,
                  47
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1
                ],
                "reflection_target": 14,
                "relation": "pair",
                "rotation": 6,
                "word": [
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  5,
                  6,
                  8,
                  9,
                  10,
                  12,
                  13,
                  14,
                  16,
                  18,
                  19,
                  20,
                  22,
                  23,
                  24,
                  26,
                  27,
                  28,
                  29,
                  30,
                  32,
                  33,
                  34,
                  36,
                  37,
                  38,
                  40,
                  42,
                  43,
                  44,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2
                ],
                "reflection_target": 13,
                "relation": "pair",
                "rotation": 7,
                "word": [
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  4,
                  6,
                  7,
                  8,
                  10,
                  11,
                  12,
                  14,
                  16,
                  17,
                  18,
                  20,
                  21,
                  22,
                  24,
                  25,
                  26,
                  27,
                  28,
                  30,
                  31,
                  32,
                  34,
                  35,
                  36,
                  38,
                  40,
                  41,
                  42,
                  44,
                  45,
                  46
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1
                ],
                "reflection_target": 12,
                "relation": "pair",
                "rotation": 8,
                "word": [
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  5,
                  6,
                  7,
                  9,
                  10,
                  11,
                  13,
                  15,
                  16,
                  17,
                  19,
                  20,
                  21,
                  23,
                  24,
                  25,
                  26,
                  27,
                  29,
                  30,
                  31,
                  33,
                  34,
                  35,
                  37,
                  39,
                  40,
                  41,
                  43,
                  44,
                  45,
                  47
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1
                ],
                "reflection_target": 11,
                "relation": "pair",
                "rotation": 9,
                "word": [
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  5,
                  6,
                  8,
                  9,
                  10,
                  12,
                  14,
                  15,
                  16,
                  18,
                  19,
                  20,
                  22,
                  23,
                  24,
                  25,
                  26,
                  28,
                  29,
                  30,
                  32,
                  33,
                  34,
                  36,
                  38,
                  39,
                  40,
                  42,
                  43,
                  44,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1
                ],
                "reflection_target": 10,
                "relation": "self",
                "rotation": 10,
                "word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  5,
                  7,
                  8,
                  9,
                  11,
                  13,
                  14,
                  15,
                  17,
                  18,
                  19,
                  21,
                  22,
                  23,
                  24,
                  25,
                  27,
                  28,
                  29,
                  31,
                  32,
                  33,
                  35,
                  37,
                  38,
                  39,
                  41,
                  42,
                  43,
                  45,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1
                ],
                "reflection_target": 9,
                "relation": "pair",
                "rotation": 11,
                "word": [
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  6,
                  7,
                  8,
                  10,
                  12,
                  13,
                  14,
                  16,
                  17,
                  18,
                  20,
                  21,
                  22,
                  23,
                  24,
                  26,
                  27,
                  28,
                  30,
                  31,
                  32,
                  34,
                  36,
                  37,
                  38,
                  40,
                  41,
                  42,
                  44,
                  45,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2
                ],
                "reflection_target": 8,
                "relation": "pair",
                "rotation": 12,
                "word": [
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  5,
                  6,
                  8,
                  10,
                  11,
                  12,
                  14,
                  15,
                  16,
                  18,
                  19,
                  20,
                  21,
                  22,
                  24,
                  25,
                  26,
                  28,
                  29,
                  30,
                  32,
                  34,
                  35,
                  36,
                  38,
                  39,
                  40,
                  42,
                  43,
                  44,
                  45,
                  46
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1
                ],
                "reflection_target": 7,
                "relation": "pair",
                "rotation": 13,
                "word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  5,
                  7,
                  9,
                  10,
                  11,
                  13,
                  14,
                  15,
                  17,
                  18,
                  19,
                  20,
                  21,
                  23,
                  24,
                  25,
                  27,
                  28,
                  29,
                  31,
                  33,
                  34,
                  35,
                  37,
                  38,
                  39,
                  41,
                  42,
                  43,
                  44,
                  45,
                  47
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1
                ],
                "reflection_target": 6,
                "relation": "pair",
                "rotation": 14,
                "word": [
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  6,
                  8,
                  9,
                  10,
                  12,
                  13,
                  14,
                  16,
                  17,
                  18,
                  19,
                  20,
                  22,
                  23,
                  24,
                  26,
                  27,
                  28,
                  30,
                  32,
                  33,
                  34,
                  36,
                  37,
                  38,
                  40,
                  41,
                  42,
                  43,
                  44,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2
                ],
                "reflection_target": 5,
                "relation": "pair",
                "rotation": 15,
                "word": [
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  6,
                  7,
                  8,
                  10,
                  11,
                  12,
                  14,
                  15,
                  16,
                  17,
                  18,
                  20,
                  21,
                  22,
                  24,
                  25,
                  26,
                  28,
                  30,
                  31,
                  32,
                  34,
                  35,
                  36,
                  38,
                  39,
                  40,
                  41,
                  42,
                  44,
                  45,
                  46
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1
                ],
                "reflection_target": 4,
                "relation": "pair",
                "rotation": 16,
                "word": [
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  5,
                  6,
                  7,
                  9,
                  10,
                  11,
                  13,
                  14,
                  15,
                  16,
                  17,
                  19,
                  20,
                  21,
                  23,
                  24,
                  25,
                  27,
                  29,
                  30,
                  31,
                  33,
                  34,
                  35,
                  37,
                  38,
                  39,
                  40,
                  41,
                  43,
                  44,
                  45,
                  47
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1
                ],
                "reflection_target": 3,
                "relation": "pair",
                "rotation": 17,
                "word": [
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  4,
                  5,
                  6,
                  8,
                  9,
                  10,
                  12,
                  13,
                  14,
                  15,
                  16,
                  18,
                  19,
                  20,
                  22,
                  23,
                  24,
                  26,
                  28,
                  29,
                  30,
                  32,
                  33,
                  34,
                  36,
                  37,
                  38,
                  39,
                  40,
                  42,
                  43,
                  44,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2
                ],
                "reflection_target": 2,
                "relation": "pair",
                "rotation": 18,
                "word": [
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1
                ]
              }
            ],
            "self_reflections": 2,
            "word": [
              2,
              1,
              1,
              2,
              1,
              1,
              2,
              1,
              1,
              1,
              1,
              2,
              1,
              1,
              2,
              1,
              1,
              2,
              2,
              1,
              1,
              2,
              1,
              1,
              2,
              1,
              1,
              1,
              1,
              2,
              1,
              1,
              2,
              1,
              1,
              2
            ]
          },
          "repeat": {
            "cardinality": 36,
            "closed_under_reflection": true,
            "distinct_rotations": 3,
            "external_reflections": 0,
            "mirror_pairs": 1,
            "modulus": 48,
            "rotations": [
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  6,
                  7,
                  8,
                  10,
                  11,
                  12,
                  14,
                  15,
                  16,
                  18,
                  19,
                  20,
                  22,
                  23,
                  24,
                  26,
                  27,
                  28,
                  30,
                  31,
                  32,
                  34,
                  35,
                  36,
                  38,
                  39,
                  40,
                  42,
                  43,
                  44,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2
                ],
                "reflection_target": 2,
                "relation": "pair",
                "rotation": 1,
                "word": [
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  5,
                  6,
                  8,
                  9,
                  10,
                  12,
                  13,
                  14,
                  16,
                  17,
                  18,
                  20,
                  21,
                  22,
                  24,
                  25,
                  26,
                  28,
                  29,
                  30,
                  32,
                  33,
                  34,
                  36,
                  37,
                  38,
                  40,
                  41,
                  42,
                  44,
                  45,
                  46
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1
                ],
                "reflection_target": 1,
                "relation": "pair",
                "rotation": 2,
                "word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  5,
                  7,
                  8,
                  9,
                  11,
                  12,
                  13,
                  15,
                  16,
                  17,
                  19,
                  20,
                  21,
                  23,
                  24,
                  25,
                  27,
                  28,
                  29,
                  31,
                  32,
                  33,
                  35,
                  36,
                  37,
                  39,
                  40,
                  41,
                  43,
                  44,
                  45,
                  47
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1
                ],
                "reflection_target": 3,
                "relation": "self",
                "rotation": 3,
                "word": [
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1
                ]
              }
            ],
            "self_reflections": 1,
            "word": [
              2,
              1,
              1,
              2,
              1,
              1,
              2,
              1,
              1,
              2,
              1,
              1,
              2,
              1,
              1,
              2,
              1,
              1,
              2,
              1,
              1,
              2,
              1,
              1,
              2,
              1,
              1,
              2,
              1,
              1,
              2,
              1,
              1,
              2,
              1,
              1
            ]
          },
          "rotate_lift": {
            "cardinality": 36,
            "closed_under_reflection": false,
            "distinct_rotations": 36,
            "external_reflections": 36,
            "mirror_pairs": 0,
            "modulus": 48,
            "rotations": [
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  6,
                  7,
                  8,
                  10,
                  11,
                  12,
                  13,
                  14,
                  16,
                  17,
                  18,
                  20,
                  21,
                  22,
                  24,
                  25,
                  27,
                  28,
                  29,
                  31,
                  32,
                  33,
                  35,
                  36,
                  38,
                  39,
                  40,
                  42,
                  43,
                  44,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 1,
                "word": [
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  5,
                  6,
                  8,
                  9,
                  10,
                  11,
                  12,
                  14,
                  15,
                  16,
                  18,
                  19,
                  20,
                  22,
                  23,
                  25,
                  26,
                  27,
                  29,
                  30,
                  31,
                  33,
                  34,
                  36,
                  37,
                  38,
                  40,
                  41,
                  42,
                  44,
                  45,
                  46
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 2,
                "word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  5,
                  7,
                  8,
                  9,
                  10,
                  11,
                  13,
                  14,
                  15,
                  17,
                  18,
                  19,
                  21,
                  22,
                  24,
                  25,
                  26,
                  28,
                  29,
                  30,
                  32,
                  33,
                  35,
                  36,
                  37,
                  39,
                  40,
                  41,
                  43,
                  44,
                  45,
                  47
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 3,
                "word": [
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  6,
                  7,
                  8,
                  9,
                  10,
                  12,
                  13,
                  14,
                  16,
                  17,
                  18,
                  20,
                  21,
                  23,
                  24,
                  25,
                  27,
                  28,
                  29,
                  31,
                  32,
                  34,
                  35,
                  36,
                  38,
                  39,
                  40,
                  42,
                  43,
                  44,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 4,
                "word": [
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  5,
                  6,
                  7,
                  8,
                  10,
                  11,
                  12,
                  14,
                  15,
                  16,
                  18,
                  19,
                  21,
                  22,
                  23,
                  25,
                  26,
                  27,
                  29,
                  30,
                  32,
                  33,
                  34,
                  36,
                  37,
                  38,
                  40,
                  41,
                  42,
                  44,
                  45,
                  46
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 5,
                "word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  5,
                  6,
                  7,
                  9,
                  10,
                  11,
                  13,
                  14,
                  15,
                  17,
                  18,
                  20,
                  21,
                  22,
                  24,
                  25,
                  26,
                  28,
                  29,
                  31,
                  32,
                  33,
                  35,
                  36,
                  37,
                  39,
                  40,
                  41,
                  43,
                  44,
                  45,
                  47
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 6,
                "word": [
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  5,
                  6,
                  8,
                  9,
                  10,
                  12,
                  13,
                  14,
                  16,
                  17,
                  19,
                  20,
                  21,
                  23,
                  24,
                  25,
                  27,
                  28,
                  30,
                  31,
                  32,
                  34,
                  35,
                  36,
                  38,
                  39,
                  40,
                  42,
                  43,
                  44,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 7,
                "word": [
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  4,
                  6,
                  7,
                  8,
                  10,
                  11,
                  12,
                  14,
                  15,
                  17,
                  18,
                  19,
                  21,
                  22,
                  23,
                  25,
                  26,
                  28,
                  29,
                  30,
                  32,
                  33,
                  34,
                  36,
                  37,
                  38,
                  40,
                  41,
                  42,
                  44,
                  45,
                  46
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 8,
                "word": [
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  5,
                  6,
                  7,
                  9,
                  10,
                  11,
                  13,
                  14,
                  16,
                  17,
                  18,
                  20,
                  21,
                  22,
                  24,
                  25,
                  27,
                  28,
                  29,
                  31,
                  32,
                  33,
                  35,
                  36,
                  37,
                  39,
                  40,
                  41,
                  43,
                  44,
                  45,
                  47
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 9,
                "word": [
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  5,
                  6,
                  8,
                  9,
                  10,
                  12,
                  13,
                  15,
                  16,
                  17,
                  19,
                  20,
                  21,
                  23,
                  24,
                  26,
                  27,
                  28,
                  30,
                  31,
                  32,
                  34,
                  35,
                  36,
                  38,
                  39,
                  40,
                  42,
                  43,
                  44,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 10,
                "word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  5,
                  7,
                  8,
                  9,
                  11,
                  12,
                  14,
                  15,
                  16,
                  18,
                  19,
                  20,
                  22,
                  23,
                  25,
                  26,
                  27,
                  29,
                  30,
                  31,
                  33,
                  34,
                  35,
                  37,
                  38,
                  39,
                  41,
                  42,
                  43,
                  45,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 11,
                "word": [
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  6,
                  7,
                  8,
                  10,
                  11,
                  13,
                  14,
                  15,
                  17,
                  18,
                  19,
                  21,
                  22,
                  24,
                  25,
                  26,
                  28,
                  29,
                  30,
                  32,
                  33,
                  34,
                  36,
                  37,
                  38,
                  40,
                  41,
                  42,
                  44,
                  45,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 12,
                "word": [
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  5,
                  6,
                  8,
                  9,
                  11,
                  12,
                  13,
                  15,
                  16,
                  17,
                  19,
                  20,
                  22,
                  23,
                  24,
                  26,
                  27,
                  28,
                  30,
                  31,
                  32,
                  34,
                  35,
                  36,
                  38,
                  39,
                  40,
                  42,
                  43,
                  44,
                  45,
                  46
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 13,
                "word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  5,
                  7,
                  8,
                  10,
                  11,
                  12,
                  14,
                  15,
                  16,
                  18,
                  19,
                  21,
                  22,
                  23,
                  25,
                  26,
                  27,
                  29,
                  30,
                  31,
                  33,
                  34,
                  35,
                  37,
                  38,
                  39,
                  41,
                  42,
                  43,
                  44,
                  45,
                  47
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 14,
                "word": [
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  6,
                  7,
                  9,
                  10,
                  11,
                  13,
                  14,
                  15,
                  17,
                  18,
                  20,
                  21,
                  22,
                  24,
                  25,
                  26,
                  28,
                  29,
                  30,
                  32,
                  33,
                  34,
                  36,
                  37,
                  38,
                  40,
                  41,
                  42,
                  43,
                  44,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 15,
                "word": [
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  5,
                  7,
                  8,
                  9,
                  11,
                  12,
                  13,
                  15,
                  16,
                  18,
                  19,
                  20,
                  22,
                  23,
                  24,
                  26,
                  27,
                  28,
                  30,
                  31,
                  32,
                  34,
                  35,
                  36,
                  38,
                  39,
                  40,
                  41,
                  42,
                  44,
                  45,
                  46
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 16,
                "word": [
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  6,
                  7,
                  8,
                  10,
                  11,
                  12,
                  14,
                  15,
                  17,
                  18,
                  19,
                  21,
                  22,
                  23,
                  25,
                  26,
                  27,
                  29,
                  30,
                  31,
                  33,
                  34,
                  35,
                  37,
                  38,
                  39,
                  40,
                  41,
                  43,
                  44,
                  45,
                  47
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 17,
                "word": [
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  5,
                  6,
                  7,
                  9,
                  10,
                  11,
                  13,
                  14,
                  16,
                  17,
                  18,
                  20,
                  21,
                  22,
                  24,
                  25,
                  26,
                  28,
                  29,
                  30,
                  32,
                  33,
                  34,
                  36,
                  37,
                  38,
                  39,
                  40,
                  42,
                  43,
                  44,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 18,
                "word": [
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  5,
                  7,
                  8,
                  9,
                  11,
                  12,
                  14,
                  15,
                  16,
                  18,
                  19,
                  20,
                  22,
                  23,
                  24,
                  26,
                  27,
                  28,
                  30,
                  31,
                  32,
                  34,
                  35,
                  36,
                  37,
                  38,
                  40,
                  41,
                  42,
                  44,
                  45,
                  46
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 19,
                "word": [
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  6,
                  7,
                  8,
                  10,
                  11,
                  13,
                  14,
                  15,
                  17,
                  18,
                  19,
                  21,
                  22,
                  23,
                  25,
                  26,
                  27,
                  29,
                  30,
                  31,
                  33,
                  34,
                  35,
                  36,
                  37,
                  39,
                  40,
                  41,
                  43,
                  44,
                  45,
                  47
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 20,
                "word": [
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  5,
                  6,
                  8,
                  9,
                  11,
                  12,
                  13,
                  15,
                  16,
                  17,
                  19,
                  20,
                  21,
                  23,
                  24,
                  25,
                  27,
                  28,
                  29,
                  31,
                  32,
                  33,
                  34,
                  35,
                  37,
                  38,
                  39,
                  41,
                  42,
                  43,
                  45,
                  46
                ],
                "reflected_word": [
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 21,
                "word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  5,
                  7,
                  8,
                  10,
                  11,
                  12,
                  14,
                  15,
                  16,
                  18,
                  19,
                  20,
                  22,
                  23,
                  24,
                  26,
                  27,
                  28,
                  30,
                  31,
                  32,
                  33,
                  34,
                  36,
                  37,
                  38,
                  40,
                  41,
                  42,
                  44,
                  45,
                  47
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 22,
                "word": [
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  6,
                  7,
                  9,
                  10,
                  11,
                  13,
                  14,
                  15,
                  17,
                  18,
                  19,
                  21,
                  22,
                  23,
                  25,
                  26,
                  27,
                  29,
                  30,
                  31,
                  32,
                  33,
                  35,
                  36,
                  37,
                  39,
                  40,
                  41,
                  43,
                  44,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 23,
                "word": [
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  5,
                  7,
                  8,
                  9,
                  11,
                  12,
                  13,
                  15,
                  16,
                  17,
                  19,
                  20,
                  21,
                  23,
                  24,
                  25,
                  27,
                  28,
                  29,
                  30,
                  31,
                  33,
                  34,
                  35,
                  37,
                  38,
                  39,
                  41,
                  42,
                  44,
                  45,
                  46
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 24,
                "word": [
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  6,
                  7,
                  8,
                  10,
                  11,
                  12,
                  14,
                  15,
                  16,
                  18,
                  19,
                  20,
                  22,
                  23,
                  24,
                  26,
                  27,
                  28,
                  29,
                  30,
                  32,
                  33,
                  34,
                  36,
                  37,
                  38,
                  40,
                  41,
                  43,
                  44,
                  45,
                  47
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 25,
                "word": [
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  5,
                  6,
                  7,
                  9,
                  10,
                  11,
                  13,
                  14,
                  15,
                  17,
                  18,
                  19,
                  21,
                  22,
                  23,
                  25,
                  26,
                  27,
                  28,
                  29,
                  31,
                  32,
                  33,
                  35,
                  36,
                  37,
                  39,
                  40,
                  42,
                  43,
                  44,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 26,
                "word": [
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  5,
                  7,
                  8,
                  9,
                  11,
                  12,
                  13,
                  15,
                  16,
                  17,
                  19,
                  20,
                  21,
                  23,
                  24,
                  25,
                  26,
                  27,
                  29,
                  30,
                  31,
                  33,
                  34,
                  35,
                  37,
                  38,
                  40,
                  41,
                  42,
                  44,
                  45,
                  46
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 27,
                "word": [
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  6,
                  7,
                  8,
                  10,
                  11,
                  12,
                  14,
                  15,
                  16,
                  18,
                  19,
                  20,
                  22,
                  23,
                  24,
                  25,
                  26,
                  28,
                  29,
                  30,
                  32,
                  33,
                  34,
                  36,
                  37,
                  39,
                  40,
                  41,
                  43,
                  44,
                  45,
                  47
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 28,
                "word": [
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  5,
                  6,
                  8,
                  9,
                  10,
                  12,
                  13,
                  14,
                  16,
                  17,
                  18,
                  20,
                  21,
                  22,
                  23,
                  24,
                  26,
                  27,
                  28,
                  30,
                  31,
                  32,
                  34,
                  35,
                  37,
                  38,
                  39,
                  41,
                  42,
                  43,
                  45,
                  46
                ],
                "reflected_word": [
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 29,
                "word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  5,
                  7,
                  8,
                  9,
                  11,
                  12,
                  13,
                  15,
                  16,
                  17,
                  19,
                  20,
                  21,
                  22,
                  23,
                  25,
                  26,
                  27,
                  29,
                  30,
                  31,
                  33,
                  34,
                  36,
                  37,
                  38,
                  40,
                  41,
                  42,
                  44,
                  45,
                  47
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 30,
                "word": [
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  6,
                  7,
                  8,
                  10,
                  11,
                  12,
                  14,
                  15,
                  16,
                  18,
                  19,
                  20,
                  21,
                  22,
                  24,
                  25,
                  26,
                  28,
                  29,
                  30,
                  32,
                  33,
                  35,
                  36,
                  37,
                  39,
                  40,
                  41,
                  43,
                  44,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 31,
                "word": [
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  5,
                  6,
                  8,
                  9,
                  10,
                  12,
                  13,
                  14,
                  16,
                  17,
                  18,
                  19,
                  20,
                  22,
                  23,
                  24,
                  26,
                  27,
                  28,
                  30,
                  31,
                  33,
                  34,
                  35,
                  37,
                  38,
                  39,
                  41,
                  42,
                  44,
                  45,
                  46
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 32,
                "word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  5,
                  7,
                  8,
                  9,
                  11,
                  12,
                  13,
                  15,
                  16,
                  17,
                  18,
                  19,
                  21,
                  22,
                  23,
                  25,
                  26,
                  27,
                  29,
                  30,
                  32,
                  33,
                  34,
                  36,
                  37,
                  38,
                  40,
                  41,
                  43,
                  44,
                  45,
                  47
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 33,
                "word": [
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  6,
                  7,
                  8,
                  10,
                  11,
                  12,
                  14,
                  15,
                  16,
                  17,
                  18,
                  20,
                  21,
                  22,
                  24,
                  25,
                  26,
                  28,
                  29,
                  31,
                  32,
                  33,
                  35,
                  36,
                  37,
                  39,
                  40,
                  42,
                  43,
                  44,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 34,
                "word": [
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  5,
                  6,
                  8,
                  9,
                  10,
                  12,
                  13,
                  14,
                  15,
                  16,
                  18,
                  19,
                  20,
                  22,
                  23,
                  24,
                  26,
                  27,
                  29,
                  30,
                  31,
                  33,
                  34,
                  35,
                  37,
                  38,
                  40,
                  41,
                  42,
                  44,
                  45,
                  46
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 35,
                "word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  5,
                  7,
                  8,
                  9,
                  11,
                  12,
                  13,
                  14,
                  15,
                  17,
                  18,
                  19,
                  21,
                  22,
                  23,
                  25,
                  26,
                  28,
                  29,
                  30,
                  32,
                  33,
                  34,
                  36,
                  37,
                  39,
                  40,
                  41,
                  43,
                  44,
                  45,
                  47
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 36,
                "word": [
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1
                ]
              }
            ],
            "self_reflections": 0,
            "word": [
              2,
              1,
              1,
              2,
              1,
              1,
              2,
              1,
              1,
              1,
              1,
              2,
              1,
              1,
              2,
              1,
              1,
              2,
              1,
              2,
              1,
              1,
              2,
              1,
              1,
              2,
              1,
              2,
              1,
              1,
              2,
              1,
              1,
              2,
              1,
              1
            ]
          }
        }
      }
    },
    "m4": {
      "base": {
        "cardinality": 8,
        "closed_under_reflection": true,
        "distinct_rotations": 4,
        "external_reflections": 0,
        "mirror_pairs": 2,
        "modulus": 12,
        "rotations": [
          {
            "pitch_path": [
              0,
              1,
              2,
              5,
              6,
              7,
              8,
              11
            ],
            "reflected_word": [
              1,
              3,
              1,
              1,
              1,
              3,
              1,
              1
            ],
            "reflection_target": 2,
            "relation": "pair",
            "rotation": 1,
            "word": [
              1,
              1,
              3,
              1,
              1,
              1,
              3,
              1
            ]
          },
          {
            "pitch_path": [
              0,
              1,
              4,
              5,
              6,
              7,
              10,
              11
            ],
            "reflected_word": [
              1,
              1,
              3,
              1,
              1,
              1,
              3,
              1
            ],
            "reflection_target": 1,
            "relation": "pair",
            "rotation": 2,
            "word": [
              1,
              3,
              1,
              1,
              1,
              3,
              1,
              1
            ]
          },
          {
            "pitch_path": [
              0,
              3,
              4,
              5,
              6,
              9,
              10,
              11
            ],
            "reflected_word": [
              1,
              1,
              1,
              3,
              1,
              1,
              1,
              3
            ],
            "reflection_target": 4,
            "relation": "pair",
            "rotation": 3,
            "word": [
              3,
              1,
              1,
              1,
              3,
              1,
              1,
              1
            ]
          },
          {
            "pitch_path": [
              0,
              1,
              2,
              3,
              6,
              7,
              8,
              9
            ],
            "reflected_word": [
              3,
              1,
              1,
              1,
              3,
              1,
              1,
              1
            ],
            "reflection_target": 3,
            "relation": "pair",
            "rotation": 4,
            "word": [
              1,
              1,
              1,
              3,
              1,
              1,
              1,
              3
            ]
          }
        ],
        "self_reflections": 0,
        "word": [
          1,
          1,
          3,
          1,
          1,
          1,
          3,
          1
        ]
      },
      "lifts": {
        "2": {
          "mirror_lift": {
            "cardinality": 16,
            "closed_under_reflection": true,
            "distinct_rotations": 16,
            "external_reflections": 0,
            "mirror_pairs": 7,
            "modulus": 24,
            "rotations": [
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  5,
                  6,
                  7,
                  8,
                  11,
                  12,
                  13,
                  16,
                  17,
                  18,
                  19,
                  22,
                  23
                ],
                "reflected_word": [
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1
                ],
                "reflection_target": 1,
                "relation": "self",
                "rotation": 1,
                "word": [
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  4,
                  5,
                  6,
                  7,
                  10,
                  11,
                  12,
                  15,
                  16,
                  17,
                  18,
                  21,
                  22,
                  23
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1
                ],
                "reflection_target": 16,
                "relation": "pair",
                "rotation": 2,
                "word": [
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  3,
                  4,
                  5,
                  6,
                  9,
                  10,
                  11,
                  14,
                  15,
                  16,
                  17,
                  20,
                  21,
                  22,
                  23
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3
                ],
                "reflection_target": 15,
                "relation": "pair",
                "rotation": 3,
                "word": [
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  6,
                  7,
                  8,
                  11,
                  12,
                  13,
                  14,
                  17,
                  18,
                  19,
                  20,
                  21
                ],
                "reflected_word": [
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1
                ],
                "reflection_target": 14,
                "relation": "pair",
                "rotation": 4,
                "word": [
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  5,
                  6,
                  7,
                  10,
                  11,
                  12,
                  13,
                  16,
                  17,
                  18,
                  19,
                  20,
                  23
                ],
                "reflected_word": [
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1
                ],
                "reflection_target": 13,
                "relation": "pair",
                "rotation": 5,
                "word": [
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  4,
                  5,
                  6,
                  9,
                  10,
                  11,
                  12,
                  15,
                  16,
                  17,
                  18,
                  19,
                  22,
                  23
                ],
                "reflected_word": [
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1
                ],
                "reflection_target": 12,
                "relation": "pair",
                "rotation": 6,
                "word": [
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  3,
                  4,
                  5,
                  8,
                  9,
                  10,
                  11,
                  14,
                  15,
                  16,
                  17,
                  18,
                  21,
                  22,
                  23
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3
                ],
                "reflection_target": 11,
                "relation": "pair",
                "rotation": 7,
                "word": [
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  5,
                  6,
                  7,
                  8,
                  11,
                  12,
                  13,
                  14,
                  15,
                  18,
                  19,
                  20,
                  21
                ],
                "reflected_word": [
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1
                ],
                "reflection_target": 10,
                "relation": "pair",
                "rotation": 8,
                "word": [
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  4,
                  5,
                  6,
                  7,
                  10,
                  11,
                  12,
                  13,
                  14,
                  17,
                  18,
                  19,
                  20,
                  23
                ],
                "reflected_word": [
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1
                ],
                "reflection_target": 9,
                "relation": "self",
                "rotation": 9,
                "word": [
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  3,
                  4,
                  5,
                  6,
                  9,
                  10,
                  11,
                  12,
                  13,
                  16,
                  17,
                  18,
                  19,
                  22,
                  23
                ],
                "reflected_word": [
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3
                ],
                "reflection_target": 8,
                "relation": "pair",
                "rotation": 10,
                "word": [
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  6,
                  7,
                  8,
                  9,
                  10,
                  13,
                  14,
                  15,
                  16,
                  19,
                  20,
                  21
                ],
                "reflected_word": [
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1
                ],
                "reflection_target": 7,
                "relation": "pair",
                "rotation": 11,
                "word": [
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  5,
                  6,
                  7,
                  8,
                  9,
                  12,
                  13,
                  14,
                  15,
                  18,
                  19,
                  20,
                  23
                ],
                "reflected_word": [
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1
                ],
                "reflection_target": 6,
                "relation": "pair",
                "rotation": 12,
                "word": [
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  4,
                  5,
                  6,
                  7,
                  8,
                  11,
                  12,
                  13,
                  14,
                  17,
                  18,
                  19,
                  22,
                  23
                ],
                "reflected_word": [
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1
                ],
                "reflection_target": 5,
                "relation": "pair",
                "rotation": 13,
                "word": [
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  3,
                  4,
                  5,
                  6,
                  7,
                  10,
                  11,
                  12,
                  13,
                  16,
                  17,
                  18,
                  21,
                  22,
                  23
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3
                ],
                "reflection_target": 4,
                "relation": "pair",
                "rotation": 14,
                "word": [
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  4,
                  7,
                  8,
                  9,
                  10,
                  13,
                  14,
                  15,
                  18,
                  19,
                  20,
                  21
                ],
                "reflected_word": [
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1
                ],
                "reflection_target": 3,
                "relation": "pair",
                "rotation": 15,
                "word": [
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  6,
                  7,
                  8,
                  9,
                  12,
                  13,
                  14,
                  17,
                  18,
                  19,
                  20,
                  23
                ],
                "reflected_word": [
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1
                ],
                "reflection_target": 2,
                "relation": "pair",
                "rotation": 16,
                "word": [
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1
                ]
              }
            ],
            "self_reflections": 2,
            "word": [
              1,
              1,
              3,
              1,
              1,
              1,
              3,
              1,
              1,
              3,
              1,
              1,
              1,
              3,
              1,
              1
            ]
          },
          "repeat": {
            "cardinality": 16,
            "closed_under_reflection": true,
            "distinct_rotations": 4,
            "external_reflections": 0,
            "mirror_pairs": 2,
            "modulus": 24,
            "rotations": [
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  5,
                  6,
                  7,
                  8,
                  11,
                  12,
                  13,
                  14,
                  17,
                  18,
                  19,
                  20,
                  23
                ],
                "reflected_word": [
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1
                ],
                "reflection_target": 2,
                "relation": "pair",
                "rotation": 1,
                "word": [
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  4,
                  5,
                  6,
                  7,
                  10,
                  11,
                  12,
                  13,
                  16,
                  17,
                  18,
                  19,
                  22,
                  23
                ],
                "reflected_word": [
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1
                ],
                "reflection_target": 1,
                "relation": "pair",
                "rotation": 2,
                "word": [
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  3,
                  4,
                  5,
                  6,
                  9,
                  10,
                  11,
                  12,
                  15,
                  16,
                  17,
                  18,
                  21,
                  22,
                  23
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3
                ],
                "reflection_target": 4,
                "relation": "pair",
                "rotation": 3,
                "word": [
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  6,
                  7,
                  8,
                  9,
                  12,
                  13,
                  14,
                  15,
                  18,
                  19,
                  20,
                  21
                ],
                "reflected_word": [
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1
                ],
                "reflection_target": 3,
                "relation": "pair",
                "rotation": 4,
                "word": [
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3
                ]
              }
            ],
            "self_reflections": 0,
            "word": [
              1,
              1,
              3,
              1,
              1,
              1,
              3,
              1,
              1,
              1,
              3,
              1,
              1,
              1,
              3,
              1
            ]
          },
          "rotate_lift": {
            "cardinality": 16,
            "closed_under_reflection": true,
            "distinct_rotations": 16,
            "external_reflections": 0,
            "mirror_pairs": 7,
            "modulus": 24,
            "rotations": [
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  5,
                  6,
                  7,
                  8,
                  11,
                  12,
                  13,
                  16,
                  17,
                  18,
                  19,
                  22,
                  23
                ],
                "reflected_word": [
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1
                ],
                "reflection_target": 1,
                "relation": "self",
                "rotation": 1,
                "word": [
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  4,
                  5,
                  6,
                  7,
                  10,
                  11,
                  12,
                  15,
                  16,
                  17,
                  18,
                  21,
                  22,
                  23
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1
                ],
                "reflection_target": 16,
                "relation": "pair",
                "rotation": 2,
                "word": [
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  3,
                  4,
                  5,
                  6,
                  9,
                  10,
                  11,
                  14,
                  15,
                  16,
                  17,
                  20,
                  21,
                  22,
                  23
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3
                ],
                "reflection_target": 15,
                "relation": "pair",
                "rotation": 3,
                "word": [
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  6,
                  7,
                  8,
                  11,
                  12,
                  13,
                  14,
                  17,
                  18,
                  19,
                  20,
                  21
                ],
                "reflected_word": [
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1
                ],
                "reflection_target": 14,
                "relation": "pair",
                "rotation": 4,
                "word": [
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  5,
                  6,
                  7,
                  10,
                  11,
                  12,
                  13,
                  16,
                  17,
                  18,
                  19,
                  20,
                  23
                ],
                "reflected_word": [
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1
                ],
                "reflection_target": 13,
                "relation": "pair",
                "rotation": 5,
                "word": [
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  4,
                  5,
                  6,
                  9,
                  10,
                  11,
                  12,
                  15,
                  16,
                  17,
                  18,
                  19,
                  22,
                  23
                ],
                "reflected_word": [
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1
                ],
                "reflection_target": 12,
                "relation": "pair",
                "rotation": 6,
                "word": [
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  3,
                  4,
                  5,
                  8,
                  9,
                  10,
                  11,
                  14,
                  15,
                  16,
                  17,
                  18,
                  21,
                  22,
                  23
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3
                ],
                "reflection_target": 11,
                "relation": "pair",
                "rotation": 7,
                "word": [
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  5,
                  6,
                  7,
                  8,
                  11,
                  12,
                  13,
                  14,
                  15,
                  18,
                  19,
                  20,
                  21
                ],
                "reflected_word": [
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1
                ],
                "reflection_target": 10,
                "relation": "pair",
                "rotation": 8,
                "word": [
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  4,
                  5,
                  6,
                  7,
                  10,
                  11,
                  12,
                  13,
                  14,
                  17,
                  18,
                  19,
                  20,
                  23
                ],
                "reflected_word": [
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1
                ],
                "reflection_target": 9,
                "relation": "self",
                "rotation": 9,
                "word": [
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  3,
                  4,
                  5,
                  6,
                  9,
                  10,
                  11,
                  12,
                  13,
                  16,
                  17,
                  18,
                  19,
                  22,
                  23
                ],
                "reflected_word": [
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3
                ],
                "reflection_target": 8,
                "relation": "pair",
                "rotation": 10,
                "word": [
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  6,
                  7,
                  8,
                  9,
                  10,
                  13,
                  14,
                  15,
                  16,
                  19,
                  20,
                  21
                ],
                "reflected_word": [
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1
                ],
                "reflection_target": 7,
                "relation": "pair",
                "rotation": 11,
                "word": [
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  5,
                  6,
                  7,
                  8,
                  9,
                  12,
                  13,
                  14,
                  15,
                  18,
                  19,
                  20,
                  23
                ],
                "reflected_word": [
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1
                ],
                "reflection_target": 6,
                "relation": "pair",
                "rotation": 12,
                "word": [
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  4,
                  5,
                  6,
                  7,
                  8,
                  11,
                  12,
                  13,
                  14,
                  17,
                  18,
                  19,
                  22,
                  23
                ],
                "reflected_word": [
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1
                ],
                "reflection_target": 5,
                "relation": "pair",
                "rotation": 13,
                "word": [
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  3,
                  4,
                  5,
                  6,
                  7,
                  10,
                  11,
                  12,
                  13,
                  16,
                  17,
                  18,
                  21,
                  22,
                  23
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3
                ],
                "reflection_target": 4,
                "relation": "pair",
                "rotation": 14,
                "word": [
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  4,
                  7,
                  8,
                  9,
                  10,
                  13,
                  14,
                  15,
                  18,
                  19,
                  20,
                  21
                ],
                "reflected_word": [
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1
                ],
                "reflection_target": 3,
                "relation": "pair",
                "rotation": 15,
                "word": [
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  6,
                  7,
                  8,
                  9,
                  12,
                  13,
                  14,
                  17,
                  18,
                  19,
                  20,
                  23
                ],
                "reflected_word": [
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1
                ],
                "reflection_target": 2,
                "relation": "pair",
                "rotation": 16,
                "word": [
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1
                ]
              }
            ],
            "self_reflections": 2,
            "word": [
              1,
              1,
              3,
              1,
              1,
              1,
              3,
              1,
              1,
              3,
              1,
              1,
              1,
              3,
              1,
              1
            ]
          }
        },
        "3": {
          "mirror_lift": {
            "cardinality": 24,
            "closed_under_reflection": false,
            "distinct_rotations": 24,
            "external_reflections": 24,
            "mirror_pairs": 0,
            "modulus": 36,
            "rotations": [
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  5,
                  6,
                  7,
                  8,
                  11,
                  12,
                  13,
                  16,
                  17,
                  18,
                  19,
                  22,
                  23,
                  24,
                  25,
                  26,
                  29,
                  30,
                  31,
                  32,
                  35
                ],
                "reflected_word": [
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 1,
                "word": [
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  4,
                  5,
                  6,
                  7,
                  10,
                  11,
                  12,
                  15,
                  16,
                  17,
                  18,
                  21,
                  22,
                  23,
                  24,
                  25,
                  28,
                  29,
                  30,
                  31,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 2,
                "word": [
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  3,
                  4,
                  5,
                  6,
                  9,
                  10,
                  11,
                  14,
                  15,
                  16,
                  17,
                  20,
                  21,
                  22,
                  23,
                  24,
                  27,
                  28,
                  29,
                  30,
                  33,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 3,
                "word": [
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  6,
                  7,
                  8,
                  11,
                  12,
                  13,
                  14,
                  17,
                  18,
                  19,
                  20,
                  21,
                  24,
                  25,
                  26,
                  27,
                  30,
                  31,
                  32,
                  33
                ],
                "reflected_word": [
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 4,
                "word": [
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  5,
                  6,
                  7,
                  10,
                  11,
                  12,
                  13,
                  16,
                  17,
                  18,
                  19,
                  20,
                  23,
                  24,
                  25,
                  26,
                  29,
                  30,
                  31,
                  32,
                  35
                ],
                "reflected_word": [
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 5,
                "word": [
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  4,
                  5,
                  6,
                  9,
                  10,
                  11,
                  12,
                  15,
                  16,
                  17,
                  18,
                  19,
                  22,
                  23,
                  24,
                  25,
                  28,
                  29,
                  30,
                  31,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 6,
                "word": [
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  3,
                  4,
                  5,
                  8,
                  9,
                  10,
                  11,
                  14,
                  15,
                  16,
                  17,
                  18,
                  21,
                  22,
                  23,
                  24,
                  27,
                  28,
                  29,
                  30,
                  33,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 7,
                "word": [
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  5,
                  6,
                  7,
                  8,
                  11,
                  12,
                  13,
                  14,
                  15,
                  18,
                  19,
                  20,
                  21,
                  24,
                  25,
                  26,
                  27,
                  30,
                  31,
                  32,
                  33
                ],
                "reflected_word": [
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 8,
                "word": [
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  4,
                  5,
                  6,
                  7,
                  10,
                  11,
                  12,
                  13,
                  14,
                  17,
                  18,
                  19,
                  20,
                  23,
                  24,
                  25,
                  26,
                  29,
                  30,
                  31,
                  32,
                  35
                ],
                "reflected_word": [
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 9,
                "word": [
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  3,
                  4,
                  5,
                  6,
                  9,
                  10,
                  11,
                  12,
                  13,
                  16,
                  17,
                  18,
                  19,
                  22,
                  23,
                  24,
                  25,
                  28,
                  29,
                  30,
                  31,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 10,
                "word": [
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  6,
                  7,
                  8,
                  9,
                  10,
                  13,
                  14,
                  15,
                  16,
                  19,
                  20,
                  21,
                  22,
                  25,
                  26,
                  27,
                  28,
                  31,
                  32,
                  33
                ],
                "reflected_word": [
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 11,
                "word": [
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  5,
                  6,
                  7,
                  8,
                  9,
                  12,
                  13,
                  14,
                  15,
                  18,
                  19,
                  20,
                  21,
                  24,
                  25,
                  26,
                  27,
                  30,
                  31,
                  32,
                  35
                ],
                "reflected_word": [
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 12,
                "word": [
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  4,
                  5,
                  6,
                  7,
                  8,
                  11,
                  12,
                  13,
                  14,
                  17,
                  18,
                  19,
                  20,
                  23,
                  24,
                  25,
                  26,
                  29,
                  30,
                  31,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 13,
                "word": [
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  3,
                  4,
                  5,
                  6,
                  7,
                  10,
                  11,
                  12,
                  13,
                  16,
                  17,
                  18,
                  19,
                  22,
                  23,
                  24,
                  25,
                  28,
                  29,
                  30,
                  33,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 14,
                "word": [
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  4,
                  7,
                  8,
                  9,
                  10,
                  13,
                  14,
                  15,
                  16,
                  19,
                  20,
                  21,
                  22,
                  25,
                  26,
                  27,
                  30,
                  31,
                  32,
                  33
                ],
                "reflected_word": [
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 15,
                "word": [
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  6,
                  7,
                  8,
                  9,
                  12,
                  13,
                  14,
                  15,
                  18,
                  19,
                  20,
                  21,
                  24,
                  25,
                  26,
                  29,
                  30,
                  31,
                  32,
                  35
                ],
                "reflected_word": [
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 16,
                "word": [
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  5,
                  6,
                  7,
                  8,
                  11,
                  12,
                  13,
                  14,
                  17,
                  18,
                  19,
                  20,
                  23,
                  24,
                  25,
                  28,
                  29,
                  30,
                  31,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 17,
                "word": [
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  4,
                  5,
                  6,
                  7,
                  10,
                  11,
                  12,
                  13,
                  16,
                  17,
                  18,
                  19,
                  22,
                  23,
                  24,
                  27,
                  28,
                  29,
                  30,
                  33,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 18,
                "word": [
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  3,
                  4,
                  5,
                  6,
                  9,
                  10,
                  11,
                  12,
                  15,
                  16,
                  17,
                  18,
                  21,
                  22,
                  23,
                  26,
                  27,
                  28,
                  29,
                  32,
                  33,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 19,
                "word": [
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  6,
                  7,
                  8,
                  9,
                  12,
                  13,
                  14,
                  15,
                  18,
                  19,
                  20,
                  23,
                  24,
                  25,
                  26,
                  29,
                  30,
                  31,
                  32,
                  33
                ],
                "reflected_word": [
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 20,
                "word": [
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  5,
                  6,
                  7,
                  8,
                  11,
                  12,
                  13,
                  14,
                  17,
                  18,
                  19,
                  22,
                  23,
                  24,
                  25,
                  28,
                  29,
                  30,
                  31,
                  32,
                  35
                ],
                "reflected_word": [
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 21,
                "word": [
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  4,
                  5,
                  6,
                  7,
                  10,
                  11,
                  12,
                  13,
                  16,
                  17,
                  18,
                  21,
                  22,
                  23,
                  24,
                  27,
                  28,
                  29,
                  30,
                  31,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 22,
                "word": [
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  3,
                  4,
                  5,
                  6,
                  9,
                  10,
                  11,
                  12,
                  15,
                  16,
                  17,
                  20,
                  21,
                  22,
                  23,
                  26,
                  27,
                  28,
                  29,
                  30,
                  33,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 23,
                "word": [
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  6,
                  7,
                  8,
                  9,
                  12,
                  13,
                  14,
                  17,
                  18,
                  19,
                  20,
                  23,
                  24,
                  25,
                  26,
                  27,
                  30,
                  31,
                  32,
                  33
                ],
                "reflected_word": [
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 24,
                "word": [
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3
                ]
              }
            ],
            "self_reflections": 0,
            "word": [
              1,
              1,
              3,
              1,
              1,
              1,
              3,
              1,
              1,
              3,
              1,
              1,
              1,
              3,
              1,
              1,
              1,
              1,
              3,
              1,
              1,
              1,
              3,
              1
            ]
          },
          "repeat": {
            "cardinality": 24,
            "closed_under_reflection": true,
            "distinct_rotations": 4,
            "external_reflections": 0,
            "mirror_pairs": 2,
            "modulus": 36,
            "rotations": [
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  5,
                  6,
                  7,
                  8,
                  11,
                  12,
                  13,
                  14,
                  17,
                  18,
                  19,
                  20,
                  23,
                  24,
                  25,
                  26,
                  29,
                  30,
                  31,
                  32,
                  35
                ],
                "reflected_word": [
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1
                ],
                "reflection_target": 2,
                "relation": "pair",
                "rotation": 1,
                "word": [
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  4,
                  5,
                  6,
                  7,
                  10,
                  11,
                  12,
                  13,
                  16,
                  17,
                  18,
                  19,
                  22,
                  23,
                  24,
                  25,
                  28,
                  29,
                  30,
                  31,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1
                ],
                "reflection_target": 1,
                "relation": "pair",
                "rotation": 2,
                "word": [
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  3,
                  4,
                  5,
                  6,
                  9,
                  10,
                  11,
                  12,
                  15,
                  16,
                  17,
                  18,
                  21,
                  22,
                  23,
                  24,
                  27,
                  28,
                  29,
                  30,
                  33,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3
                ],
                "reflection_target": 4,
                "relation": "pair",
                "rotation": 3,
                "word": [
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  6,
                  7,
                  8,
                  9,
                  12,
                  13,
                  14,
                  15,
                  18,
                  19,
                  20,
                  21,
                  24,
                  25,
                  26,
                  27,
                  30,
                  31,
                  32,
                  33
                ],
                "reflected_word": [
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1
                ],
                "reflection_target": 3,
                "relation": "pair",
                "rotation": 4,
                "word": [
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3
                ]
              }
            ],
            "self_reflections": 0,
            "word": [
              1,
              1,
              3,
              1,
              1,
              1,
              3,
              1,
              1,
              1,
              3,
              1,
              1,
              1,
              3,
              1,
              1,
              1,
              3,
              1,
              1,
              1,
              3,
              1
            ]
          },
          "rotate_lift": {
            "cardinality": 24,
            "closed_under_reflection": true,
            "distinct_rotations": 24,
            "external_reflections": 0,
            "mirror_pairs": 12,
            "modulus": 36,
            "rotations": [
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  5,
                  6,
                  7,
                  8,
                  11,
                  12,
                  13,
                  16,
                  17,
                  18,
                  19,
                  22,
                  23,
                  24,
                  27,
                  28,
                  29,
                  30,
                  33,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1
                ],
                "reflection_target": 24,
                "relation": "pair",
                "rotation": 1,
                "word": [
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  4,
                  5,
                  6,
                  7,
                  10,
                  11,
                  12,
                  15,
                  16,
                  17,
                  18,
                  21,
                  22,
                  23,
                  26,
                  27,
                  28,
                  29,
                  32,
                  33,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1
                ],
                "reflection_target": 23,
                "relation": "pair",
                "rotation": 2,
                "word": [
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  3,
                  4,
                  5,
                  6,
                  9,
                  10,
                  11,
                  14,
                  15,
                  16,
                  17,
                  20,
                  21,
                  22,
                  25,
                  26,
                  27,
                  28,
                  31,
                  32,
                  33,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3
                ],
                "reflection_target": 22,
                "relation": "pair",
                "rotation": 3,
                "word": [
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  6,
                  7,
                  8,
                  11,
                  12,
                  13,
                  14,
                  17,
                  18,
                  19,
                  22,
                  23,
                  24,
                  25,
                  28,
                  29,
                  30,
                  31,
                  32,
                  33
                ],
                "reflected_word": [
                  3,
                  1,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1
                ],
                "reflection_target": 21,
                "relation": "pair",
                "rotation": 4,
                "word": [
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  1,
                  3
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  5,
                  6,
                  7,
                  10,
                  11,
                  12,
                  13,
                  16,
                  17,
                  18,
                  21,
                  22,
                  23,
                  24,
                  27,
                  28,
                  29,
                  30,
                  31,
                  32,
                  35
                ],
                "reflected_word": [
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1
                ],
                "reflection_target": 20,
                "relation": "pair",
                "rotation": 5,
                "word": [
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  4,
                  5,
                  6,
                  9,
                  10,
                  11,
                  12,
                  15,
                  16,
                  17,
                  20,
                  21,
                  22,
                  23,
                  26,
                  27,
                  28,
                  29,
                  30,
                  31,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1
                ],
                "reflection_target": 19,
                "relation": "pair",
                "rotation": 6,
                "word": [
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  3,
                  4,
                  5,
                  8,
                  9,
                  10,
                  11,
                  14,
                  15,
                  16,
                  19,
                  20,
                  21,
                  22,
                  25,
                  26,
                  27,
                  28,
                  29,
                  30,
                  33,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3
                ],
                "reflection_target": 18,
                "relation": "pair",
                "rotation": 7,
                "word": [
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  5,
                  6,
                  7,
                  8,
                  11,
                  12,
                  13,
                  16,
                  17,
                  18,
                  19,
                  22,
                  23,
                  24,
                  25,
                  26,
                  27,
                  30,
                  31,
                  32,
                  33
                ],
                "reflected_word": [
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1
                ],
                "reflection_target": 17,
                "relation": "pair",
                "rotation": 8,
                "word": [
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  4,
                  5,
                  6,
                  7,
                  10,
                  11,
                  12,
                  15,
                  16,
                  17,
                  18,
                  21,
                  22,
                  23,
                  24,
                  25,
                  26,
                  29,
                  30,
                  31,
                  32,
                  35
                ],
                "reflected_word": [
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1
                ],
                "reflection_target": 16,
                "relation": "pair",
                "rotation": 9,
                "word": [
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  3,
                  4,
                  5,
                  6,
                  9,
                  10,
                  11,
                  14,
                  15,
                  16,
                  17,
                  20,
                  21,
                  22,
                  23,
                  24,
                  25,
                  28,
                  29,
                  30,
                  31,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3
                ],
                "reflection_target": 15,
                "relation": "pair",
                "rotation": 10,
                "word": [
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  6,
                  7,
                  8,
                  11,
                  12,
                  13,
                  14,
                  17,
                  18,
                  19,
                  20,
                  21,
                  22,
                  25,
                  26,
                  27,
                  28,
                  31,
                  32,
                  33
                ],
                "reflected_word": [
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1
                ],
                "reflection_target": 14,
                "relation": "pair",
                "rotation": 11,
                "word": [
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  5,
                  6,
                  7,
                  10,
                  11,
                  12,
                  13,
                  16,
                  17,
                  18,
                  19,
                  20,
                  21,
                  24,
                  25,
                  26,
                  27,
                  30,
                  31,
                  32,
                  35
                ],
                "reflected_word": [
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1
                ],
                "reflection_target": 13,
                "relation": "pair",
                "rotation": 12,
                "word": [
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  4,
                  5,
                  6,
                  9,
                  10,
                  11,
                  12,
                  15,
                  16,
                  17,
                  18,
                  19,
                  20,
                  23,
                  24,
                  25,
                  26,
                  29,
                  30,
                  31,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1
                ],
                "reflection_target": 12,
                "relation": "pair",
                "rotation": 13,
                "word": [
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  3,
                  4,
                  5,
                  8,
                  9,
                  10,
                  11,
                  14,
                  15,
                  16,
                  17,
                  18,
                  19,
                  22,
                  23,
                  24,
                  25,
                  28,
                  29,
                  30,
                  33,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3
                ],
                "reflection_target": 11,
                "relation": "pair",
                "rotation": 14,
                "word": [
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  5,
                  6,
                  7,
                  8,
                  11,
                  12,
                  13,
                  14,
                  15,
                  16,
                  19,
                  20,
                  21,
                  22,
                  25,
                  26,
                  27,
                  30,
                  31,
                  32,
                  33
                ],
                "reflected_word": [
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1
                ],
                "reflection_target": 10,
                "relation": "pair",
                "rotation": 15,
                "word": [
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  4,
                  5,
                  6,
                  7,
                  10,
                  11,
                  12,
                  13,
                  14,
                  15,
                  18,
                  19,
                  20,
                  21,
                  24,
                  25,
                  26,
                  29,
                  30,
                  31,
                  32,
                  35
                ],
                "reflected_word": [
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1
                ],
                "reflection_target": 9,
                "relation": "pair",
                "rotation": 16,
                "word": [
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  3,
                  4,
                  5,
                  6,
                  9,
                  10,
                  11,
                  12,
                  13,
                  14,
                  17,
                  18,
                  19,
                  20,
                  23,
                  24,
                  25,
                  28,
                  29,
                  30,
                  31,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3
                ],
                "reflection_target": 8,
                "relation": "pair",
                "rotation": 17,
                "word": [
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  6,
                  7,
                  8,
                  9,
                  10,
                  11,
                  14,
                  15,
                  16,
                  17,
                  20,
                  21,
                  22,
                  25,
                  26,
                  27,
                  28,
                  31,
                  32,
                  33
                ],
                "reflected_word": [
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1
                ],
                "reflection_target": 7,
                "relation": "pair",
                "rotation": 18,
                "word": [
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  5,
                  6,
                  7,
                  8,
                  9,
                  10,
                  13,
                  14,
                  15,
                  16,
                  19,
                  20,
                  21,
                  24,
                  25,
                  26,
                  27,
                  30,
                  31,
                  32,
                  35
                ],
                "reflected_word": [
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1
                ],
                "reflection_target": 6,
                "relation": "pair",
                "rotation": 19,
                "word": [
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  4,
                  5,
                  6,
                  7,
                  8,
                  9,
                  12,
                  13,
                  14,
                  15,
                  18,
                  19,
                  20,
                  23,
                  24,
                  25,
                  26,
                  29,
                  30,
                  31,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1
                ],
                "reflection_target": 5,
                "relation": "pair",
                "rotation": 20,
                "word": [
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  3,
                  4,
                  5,
                  6,
                  7,
                  8,
                  11,
                  12,
                  13,
                  14,
                  17,
                  18,
                  19,
                  22,
                  23,
                  24,
                  25,
                  28,
                  29,
                  30,
                  33,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  1,
                  3
                ],
                "reflection_target": 4,
                "relation": "pair",
                "rotation": 21,
                "word": [
                  3,
                  1,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  4,
                  5,
                  8,
                  9,
                  10,
                  11,
                  14,
                  15,
                  16,
                  19,
                  20,
                  21,
                  22,
                  25,
                  26,
                  27,
                  30,
                  31,
                  32,
                  33
                ],
                "reflected_word": [
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  1
                ],
                "reflection_target": 3,
                "relation": "pair",
                "rotation": 22,
                "word": [
                  1,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  4,
                  7,
                  8,
                  9,
                  10,
                  13,
                  14,
                  15,
                  18,
                  19,
                  20,
                  21,
                  24,
                  25,
                  26,
                  29,
                  30,
                  31,
                  32,
                  35
                ],
                "reflected_word": [
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1
                ],
                "reflection_target": 2,
                "relation": "pair",
                "rotation": 23,
                "word": [
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  6,
                  7,
                  8,
                  9,
                  12,
                  13,
                  14,
                  17,
                  18,
                  19,
                  20,
                  23,
                  24,
                  25,
                  28,
                  29,
                  30,
                  31,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1
                ],
                "reflection_target": 1,
                "relation": "pair",
                "rotation": 24,
                "word": [
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1
                ]
              }
            ],
            "self_reflections": 0,
            "word": [
              1,
              1,
              3,
              1,
              1,
              1,
              3,
              1,
              1,
              3,
              1,
              1,
              1,
              3,
              1,
              1,
              3,
              1,
              1,
              1,
              3,
              1,
              1,
              1
            ]
          }
        },
        "4": {
          "mirror_lift": {
            "cardinality": 32,
            "closed_under_reflection": true,
            "distinct_rotations": 16,
            "external_reflections": 0,
            "mirror_pairs": 7,
            "modulus": 48,
            "rotations": [
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  5,
                  6,
                  7,
                  8,
                  11,
                  12,
                  13,
                  16,
                  17,
                  18,
                  19,
                  22,
                  23,
                  24,
                  25,
                  26,
                  29,
                  30,
                  31,
                  32,
                  35,
                  36,
                  37,
                  40,
                  41,
                  42,
                  43,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1
                ],
                "reflection_target": 1,
                "relation": "self",
                "rotation": 1,
                "word": [
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  4,
                  5,
                  6,
                  7,
                  10,
                  11,
                  12,
                  15,
                  16,
                  17,
                  18,
                  21,
                  22,
                  23,
                  24,
                  25,
                  28,
                  29,
                  30,
                  31,
                  34,
                  35,
                  36,
                  39,
                  40,
                  41,
                  42,
                  45,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1
                ],
                "reflection_target": 16,
                "relation": "pair",
                "rotation": 2,
                "word": [
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  3,
                  4,
                  5,
                  6,
                  9,
                  10,
                  11,
                  14,
                  15,
                  16,
                  17,
                  20,
                  21,
                  22,
                  23,
                  24,
                  27,
                  28,
                  29,
                  30,
                  33,
                  34,
                  35,
                  38,
                  39,
                  40,
                  41,
                  44,
                  45,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3
                ],
                "reflection_target": 15,
                "relation": "pair",
                "rotation": 3,
                "word": [
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  6,
                  7,
                  8,
                  11,
                  12,
                  13,
                  14,
                  17,
                  18,
                  19,
                  20,
                  21,
                  24,
                  25,
                  26,
                  27,
                  30,
                  31,
                  32,
                  35,
                  36,
                  37,
                  38,
                  41,
                  42,
                  43,
                  44,
                  45
                ],
                "reflected_word": [
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1
                ],
                "reflection_target": 14,
                "relation": "pair",
                "rotation": 4,
                "word": [
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  5,
                  6,
                  7,
                  10,
                  11,
                  12,
                  13,
                  16,
                  17,
                  18,
                  19,
                  20,
                  23,
                  24,
                  25,
                  26,
                  29,
                  30,
                  31,
                  34,
                  35,
                  36,
                  37,
                  40,
                  41,
                  42,
                  43,
                  44,
                  47
                ],
                "reflected_word": [
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1
                ],
                "reflection_target": 13,
                "relation": "pair",
                "rotation": 5,
                "word": [
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  4,
                  5,
                  6,
                  9,
                  10,
                  11,
                  12,
                  15,
                  16,
                  17,
                  18,
                  19,
                  22,
                  23,
                  24,
                  25,
                  28,
                  29,
                  30,
                  33,
                  34,
                  35,
                  36,
                  39,
                  40,
                  41,
                  42,
                  43,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1
                ],
                "reflection_target": 12,
                "relation": "pair",
                "rotation": 6,
                "word": [
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  3,
                  4,
                  5,
                  8,
                  9,
                  10,
                  11,
                  14,
                  15,
                  16,
                  17,
                  18,
                  21,
                  22,
                  23,
                  24,
                  27,
                  28,
                  29,
                  32,
                  33,
                  34,
                  35,
                  38,
                  39,
                  40,
                  41,
                  42,
                  45,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3
                ],
                "reflection_target": 11,
                "relation": "pair",
                "rotation": 7,
                "word": [
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  5,
                  6,
                  7,
                  8,
                  11,
                  12,
                  13,
                  14,
                  15,
                  18,
                  19,
                  20,
                  21,
                  24,
                  25,
                  26,
                  29,
                  30,
                  31,
                  32,
                  35,
                  36,
                  37,
                  38,
                  39,
                  42,
                  43,
                  44,
                  45
                ],
                "reflected_word": [
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1
                ],
                "reflection_target": 10,
                "relation": "pair",
                "rotation": 8,
                "word": [
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  4,
                  5,
                  6,
                  7,
                  10,
                  11,
                  12,
                  13,
                  14,
                  17,
                  18,
                  19,
                  20,
                  23,
                  24,
                  25,
                  28,
                  29,
                  30,
                  31,
                  34,
                  35,
                  36,
                  37,
                  38,
                  41,
                  42,
                  43,
                  44,
                  47
                ],
                "reflected_word": [
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1
                ],
                "reflection_target": 9,
                "relation": "self",
                "rotation": 9,
                "word": [
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  3,
                  4,
                  5,
                  6,
                  9,
                  10,
                  11,
                  12,
                  13,
                  16,
                  17,
                  18,
                  19,
                  22,
                  23,
                  24,
                  27,
                  28,
                  29,
                  30,
                  33,
                  34,
                  35,
                  36,
                  37,
                  40,
                  41,
                  42,
                  43,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3
                ],
                "reflection_target": 8,
                "relation": "pair",
                "rotation": 10,
                "word": [
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  6,
                  7,
                  8,
                  9,
                  10,
                  13,
                  14,
                  15,
                  16,
                  19,
                  20,
                  21,
                  24,
                  25,
                  26,
                  27,
                  30,
                  31,
                  32,
                  33,
                  34,
                  37,
                  38,
                  39,
                  40,
                  43,
                  44,
                  45
                ],
                "reflected_word": [
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1
                ],
                "reflection_target": 7,
                "relation": "pair",
                "rotation": 11,
                "word": [
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  5,
                  6,
                  7,
                  8,
                  9,
                  12,
                  13,
                  14,
                  15,
                  18,
                  19,
                  20,
                  23,
                  24,
                  25,
                  26,
                  29,
                  30,
                  31,
                  32,
                  33,
                  36,
                  37,
                  38,
                  39,
                  42,
                  43,
                  44,
                  47
                ],
                "reflected_word": [
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1
                ],
                "reflection_target": 6,
                "relation": "pair",
                "rotation": 12,
                "word": [
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  4,
                  5,
                  6,
                  7,
                  8,
                  11,
                  12,
                  13,
                  14,
                  17,
                  18,
                  19,
                  22,
                  23,
                  24,
                  25,
                  28,
                  29,
                  30,
                  31,
                  32,
                  35,
                  36,
                  37,
                  38,
                  41,
                  42,
                  43,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1
                ],
                "reflection_target": 5,
                "relation": "pair",
                "rotation": 13,
                "word": [
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  3,
                  4,
                  5,
                  6,
                  7,
                  10,
                  11,
                  12,
                  13,
                  16,
                  17,
                  18,
                  21,
                  22,
                  23,
                  24,
                  27,
                  28,
                  29,
                  30,
                  31,
                  34,
                  35,
                  36,
                  37,
                  40,
                  41,
                  42,
                  45,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3
                ],
                "reflection_target": 4,
                "relation": "pair",
                "rotation": 14,
                "word": [
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  4,
                  7,
                  8,
                  9,
                  10,
                  13,
                  14,
                  15,
                  18,
                  19,
                  20,
                  21,
                  24,
                  25,
                  26,
                  27,
                  28,
                  31,
                  32,
                  33,
                  34,
                  37,
                  38,
                  39,
                  42,
                  43,
                  44,
                  45
                ],
                "reflected_word": [
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1
                ],
                "reflection_target": 3,
                "relation": "pair",
                "rotation": 15,
                "word": [
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  6,
                  7,
                  8,
                  9,
                  12,
                  13,
                  14,
                  17,
                  18,
                  19,
                  20,
                  23,
                  24,
                  25,
                  26,
                  27,
                  30,
                  31,
                  32,
                  33,
                  36,
                  37,
                  38,
                  41,
                  42,
                  43,
                  44,
                  47
                ],
                "reflected_word": [
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1
                ],
                "reflection_target": 2,
                "relation": "pair",
                "rotation": 16,
                "word": [
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1
                ]
              }
            ],
            "self_reflections": 2,
            "word": [
              1,
              1,
              3,
              1,
              1,
              1,
              3,
              1,
              1,
              3,
              1,
              1,
              1,
              3,
              1,
              1,
              1,
              1,
              3,
              1,
              1,
              1,
              3,
              1,
              1,
              3,
              1,
              1,
              1,
              3,
              1,
              1
            ]
          },
          "repeat": {
            "cardinality": 32,
            "closed_under_reflection": true,
            "distinct_rotations": 4,
            "external_reflections": 0,
            "mirror_pairs": 2,
            "modulus": 48,
            "rotations": [
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  5,
                  6,
                  7,
                  8,
                  11,
                  12,
                  13,
                  14,
                  17,
                  18,
                  19,
                  20,
                  23,
                  24,
                  25,
                  26,
                  29,
                  30,
                  31,
                  32,
                  35,
                  36,
                  37,
                  38,
                  41,
                  42,
                  43,
                  44,
                  47
                ],
                "reflected_word": [
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1
                ],
                "reflection_target": 2,
                "relation": "pair",
                "rotation": 1,
                "word": [
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  4,
                  5,
                  6,
                  7,
                  10,
                  11,
                  12,
                  13,
                  16,
                  17,
                  18,
                  19,
                  22,
                  23,
                  24,
                  25,
                  28,
                  29,
                  30,
                  31,
                  34,
                  35,
                  36,
                  37,
                  40,
                  41,
                  42,
                  43,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1
                ],
                "reflection_target": 1,
                "relation": "pair",
                "rotation": 2,
                "word": [
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  3,
                  4,
                  5,
                  6,
                  9,
                  10,
                  11,
                  12,
                  15,
                  16,
                  17,
                  18,
                  21,
                  22,
                  23,
                  24,
                  27,
                  28,
                  29,
                  30,
                  33,
                  34,
                  35,
                  36,
                  39,
                  40,
                  41,
                  42,
                  45,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3
                ],
                "reflection_target": 4,
                "relation": "pair",
                "rotation": 3,
                "word": [
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  6,
                  7,
                  8,
                  9,
                  12,
                  13,
                  14,
                  15,
                  18,
                  19,
                  20,
                  21,
                  24,
                  25,
                  26,
                  27,
                  30,
                  31,
                  32,
                  33,
                  36,
                  37,
                  38,
                  39,
                  42,
                  43,
                  44,
                  45
                ],
                "reflected_word": [
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1
                ],
                "reflection_target": 3,
                "relation": "pair",
                "rotation": 4,
                "word": [
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3
                ]
              }
            ],
            "self_reflections": 0,
            "word": [
              1,
              1,
              3,
              1,
              1,
              1,
              3,
              1,
              1,
              1,
              3,
              1,
              1,
              1,
              3,
              1,
              1,
              1,
              3,
              1,
              1,
              1,
              3,
              1,
              1,
              1,
              3,
              1,
              1,
              1,
              3,
              1
            ]
          },
          "rotate_lift": {
            "cardinality": 32,
            "closed_under_reflection": true,
            "distinct_rotations": 32,
            "external_reflections": 0,
            "mirror_pairs": 15,
            "modulus": 48,
            "rotations": [
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  5,
                  6,
                  7,
                  8,
                  11,
                  12,
                  13,
                  16,
                  17,
                  18,
                  19,
                  22,
                  23,
                  24,
                  27,
                  28,
                  29,
                  30,
                  33,
                  34,
                  35,
                  36,
                  37,
                  38,
                  39,
                  42,
                  43,
                  44,
                  45
                ],
                "reflected_word": [
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1
                ],
                "reflection_target": 17,
                "relation": "pair",
                "rotation": 1,
                "word": [
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  4,
                  5,
                  6,
                  7,
                  10,
                  11,
                  12,
                  15,
                  16,
                  17,
                  18,
                  21,
                  22,
                  23,
                  26,
                  27,
                  28,
                  29,
                  32,
                  33,
                  34,
                  35,
                  36,
                  37,
                  38,
                  41,
                  42,
                  43,
                  44,
                  47
                ],
                "reflected_word": [
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1
                ],
                "reflection_target": 16,
                "relation": "pair",
                "rotation": 2,
                "word": [
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  3,
                  4,
                  5,
                  6,
                  9,
                  10,
                  11,
                  14,
                  15,
                  16,
                  17,
                  20,
                  21,
                  22,
                  25,
                  26,
                  27,
                  28,
                  31,
                  32,
                  33,
                  34,
                  35,
                  36,
                  37,
                  40,
                  41,
                  42,
                  43,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3
                ],
                "reflection_target": 15,
                "relation": "pair",
                "rotation": 3,
                "word": [
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  6,
                  7,
                  8,
                  11,
                  12,
                  13,
                  14,
                  17,
                  18,
                  19,
                  22,
                  23,
                  24,
                  25,
                  28,
                  29,
                  30,
                  31,
                  32,
                  33,
                  34,
                  37,
                  38,
                  39,
                  40,
                  43,
                  44,
                  45
                ],
                "reflected_word": [
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1
                ],
                "reflection_target": 14,
                "relation": "pair",
                "rotation": 4,
                "word": [
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  5,
                  6,
                  7,
                  10,
                  11,
                  12,
                  13,
                  16,
                  17,
                  18,
                  21,
                  22,
                  23,
                  24,
                  27,
                  28,
                  29,
                  30,
                  31,
                  32,
                  33,
                  36,
                  37,
                  38,
                  39,
                  42,
                  43,
                  44,
                  47
                ],
                "reflected_word": [
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1
                ],
                "reflection_target": 13,
                "relation": "pair",
                "rotation": 5,
                "word": [
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  4,
                  5,
                  6,
                  9,
                  10,
                  11,
                  12,
                  15,
                  16,
                  17,
                  20,
                  21,
                  22,
                  23,
                  26,
                  27,
                  28,
                  29,
                  30,
                  31,
                  32,
                  35,
                  36,
                  37,
                  38,
                  41,
                  42,
                  43,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1
                ],
                "reflection_target": 12,
                "relation": "pair",
                "rotation": 6,
                "word": [
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  3,
                  4,
                  5,
                  8,
                  9,
                  10,
                  11,
                  14,
                  15,
                  16,
                  19,
                  20,
                  21,
                  22,
                  25,
                  26,
                  27,
                  28,
                  29,
                  30,
                  31,
                  34,
                  35,
                  36,
                  37,
                  40,
                  41,
                  42,
                  45,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3
                ],
                "reflection_target": 11,
                "relation": "pair",
                "rotation": 7,
                "word": [
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  5,
                  6,
                  7,
                  8,
                  11,
                  12,
                  13,
                  16,
                  17,
                  18,
                  19,
                  22,
                  23,
                  24,
                  25,
                  26,
                  27,
                  28,
                  31,
                  32,
                  33,
                  34,
                  37,
                  38,
                  39,
                  42,
                  43,
                  44,
                  45
                ],
                "reflected_word": [
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1
                ],
                "reflection_target": 10,
                "relation": "pair",
                "rotation": 8,
                "word": [
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  4,
                  5,
                  6,
                  7,
                  10,
                  11,
                  12,
                  15,
                  16,
                  17,
                  18,
                  21,
                  22,
                  23,
                  24,
                  25,
                  26,
                  27,
                  30,
                  31,
                  32,
                  33,
                  36,
                  37,
                  38,
                  41,
                  42,
                  43,
                  44,
                  47
                ],
                "reflected_word": [
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1
                ],
                "reflection_target": 9,
                "relation": "self",
                "rotation": 9,
                "word": [
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  3,
                  4,
                  5,
                  6,
                  9,
                  10,
                  11,
                  14,
                  15,
                  16,
                  17,
                  20,
                  21,
                  22,
                  23,
                  24,
                  25,
                  26,
                  29,
                  30,
                  31,
                  32,
                  35,
                  36,
                  37,
                  40,
                  41,
                  42,
                  43,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3
                ],
                "reflection_target": 8,
                "relation": "pair",
                "rotation": 10,
                "word": [
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  6,
                  7,
                  8,
                  11,
                  12,
                  13,
                  14,
                  17,
                  18,
                  19,
                  20,
                  21,
                  22,
                  23,
                  26,
                  27,
                  28,
                  29,
                  32,
                  33,
                  34,
                  37,
                  38,
                  39,
                  40,
                  43,
                  44,
                  45
                ],
                "reflected_word": [
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1
                ],
                "reflection_target": 7,
                "relation": "pair",
                "rotation": 11,
                "word": [
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  5,
                  6,
                  7,
                  10,
                  11,
                  12,
                  13,
                  16,
                  17,
                  18,
                  19,
                  20,
                  21,
                  22,
                  25,
                  26,
                  27,
                  28,
                  31,
                  32,
                  33,
                  36,
                  37,
                  38,
                  39,
                  42,
                  43,
                  44,
                  47
                ],
                "reflected_word": [
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1
                ],
                "reflection_target": 6,
                "relation": "pair",
                "rotation": 12,
                "word": [
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  4,
                  5,
                  6,
                  9,
                  10,
                  11,
                  12,
                  15,
                  16,
                  17,
                  18,
                  19,
                  20,
                  21,
                  24,
                  25,
                  26,
                  27,
                  30,
                  31,
                  32,
                  35,
                  36,
                  37,
                  38,
                  41,
                  42,
                  43,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1
                ],
                "reflection_target": 5,
                "relation": "pair",
                "rotation": 13,
                "word": [
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  3,
                  4,
                  5,
                  8,
                  9,
                  10,
                  11,
                  14,
                  15,
                  16,
                  17,
                  18,
                  19,
                  20,
                  23,
                  24,
                  25,
                  26,
                  29,
                  30,
                  31,
                  34,
                  35,
                  36,
                  37,
                  40,
                  41,
                  42,
                  45,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3
                ],
                "reflection_target": 4,
                "relation": "pair",
                "rotation": 14,
                "word": [
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  5,
                  6,
                  7,
                  8,
                  11,
                  12,
                  13,
                  14,
                  15,
                  16,
                  17,
                  20,
                  21,
                  22,
                  23,
                  26,
                  27,
                  28,
                  31,
                  32,
                  33,
                  34,
                  37,
                  38,
                  39,
                  42,
                  43,
                  44,
                  45
                ],
                "reflected_word": [
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1
                ],
                "reflection_target": 3,
                "relation": "pair",
                "rotation": 15,
                "word": [
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  4,
                  5,
                  6,
                  7,
                  10,
                  11,
                  12,
                  13,
                  14,
                  15,
                  16,
                  19,
                  20,
                  21,
                  22,
                  25,
                  26,
                  27,
                  30,
                  31,
                  32,
                  33,
                  36,
                  37,
                  38,
                  41,
                  42,
                  43,
                  44,
                  47
                ],
                "reflected_word": [
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1
                ],
                "reflection_target": 2,
                "relation": "pair",
                "rotation": 16,
                "word": [
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  3,
                  4,
                  5,
                  6,
                  9,
                  10,
                  11,
                  12,
                  13,
                  14,
                  15,
                  18,
                  19,
                  20,
                  21,
                  24,
                  25,
                  26,
                  29,
                  30,
                  31,
                  32,
                  35,
                  36,
                  37,
                  40,
                  41,
                  42,
                  43,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3
                ],
                "reflection_target": 1,
                "relation": "pair",
                "rotation": 17,
                "word": [
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  6,
                  7,
                  8,
                  9,
                  10,
                  11,
                  12,
                  15,
                  16,
                  17,
                  18,
                  21,
                  22,
                  23,
                  26,
                  27,
                  28,
                  29,
                  32,
                  33,
                  34,
                  37,
                  38,
                  39,
                  40,
                  43,
                  44,
                  45
                ],
                "reflected_word": [
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1
                ],
                "reflection_target": 32,
                "relation": "pair",
                "rotation": 18,
                "word": [
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  5,
                  6,
                  7,
                  8,
                  9,
                  10,
                  11,
                  14,
                  15,
                  16,
                  17,
                  20,
                  21,
                  22,
                  25,
                  26,
                  27,
                  28,
                  31,
                  32,
                  33,
                  36,
                  37,
                  38,
                  39,
                  42,
                  43,
                  44,
                  47
                ],
                "reflected_word": [
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1
                ],
                "reflection_target": 31,
                "relation": "pair",
                "rotation": 19,
                "word": [
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  4,
                  5,
                  6,
                  7,
                  8,
                  9,
                  10,
                  13,
                  14,
                  15,
                  16,
                  19,
                  20,
                  21,
                  24,
                  25,
                  26,
                  27,
                  30,
                  31,
                  32,
                  35,
                  36,
                  37,
                  38,
                  41,
                  42,
                  43,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1
                ],
                "reflection_target": 30,
                "relation": "pair",
                "rotation": 20,
                "word": [
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  3,
                  4,
                  5,
                  6,
                  7,
                  8,
                  9,
                  12,
                  13,
                  14,
                  15,
                  18,
                  19,
                  20,
                  23,
                  24,
                  25,
                  26,
                  29,
                  30,
                  31,
                  34,
                  35,
                  36,
                  37,
                  40,
                  41,
                  42,
                  45,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  3
                ],
                "reflection_target": 29,
                "relation": "pair",
                "rotation": 21,
                "word": [
                  3,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  4,
                  5,
                  6,
                  9,
                  10,
                  11,
                  12,
                  15,
                  16,
                  17,
                  20,
                  21,
                  22,
                  23,
                  26,
                  27,
                  28,
                  31,
                  32,
                  33,
                  34,
                  37,
                  38,
                  39,
                  42,
                  43,
                  44,
                  45
                ],
                "reflected_word": [
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1
                ],
                "reflection_target": 28,
                "relation": "pair",
                "rotation": 22,
                "word": [
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  4,
                  5,
                  8,
                  9,
                  10,
                  11,
                  14,
                  15,
                  16,
                  19,
                  20,
                  21,
                  22,
                  25,
                  26,
                  27,
                  30,
                  31,
                  32,
                  33,
                  36,
                  37,
                  38,
                  41,
                  42,
                  43,
                  44,
                  47
                ],
                "reflected_word": [
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  1
                ],
                "reflection_target": 27,
                "relation": "pair",
                "rotation": 23,
                "word": [
                  1,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  4,
                  7,
                  8,
                  9,
                  10,
                  13,
                  14,
                  15,
                  18,
                  19,
                  20,
                  21,
                  24,
                  25,
                  26,
                  29,
                  30,
                  31,
                  32,
                  35,
                  36,
                  37,
                  40,
                  41,
                  42,
                  43,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1
                ],
                "reflection_target": 26,
                "relation": "pair",
                "rotation": 24,
                "word": [
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  6,
                  7,
                  8,
                  9,
                  12,
                  13,
                  14,
                  17,
                  18,
                  19,
                  20,
                  23,
                  24,
                  25,
                  28,
                  29,
                  30,
                  31,
                  34,
                  35,
                  36,
                  39,
                  40,
                  41,
                  42,
                  45,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1
                ],
                "reflection_target": 25,
                "relation": "self",
                "rotation": 25,
                "word": [
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  5,
                  6,
                  7,
                  8,
                  11,
                  12,
                  13,
                  16,
                  17,
                  18,
                  19,
                  22,
                  23,
                  24,
                  27,
                  28,
                  29,
                  30,
                  33,
                  34,
                  35,
                  38,
                  39,
                  40,
                  41,
                  44,
                  45,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1
                ],
                "reflection_target": 24,
                "relation": "pair",
                "rotation": 26,
                "word": [
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  4,
                  5,
                  6,
                  7,
                  10,
                  11,
                  12,
                  15,
                  16,
                  17,
                  18,
                  21,
                  22,
                  23,
                  26,
                  27,
                  28,
                  29,
                  32,
                  33,
                  34,
                  37,
                  38,
                  39,
                  40,
                  43,
                  44,
                  45,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1
                ],
                "reflection_target": 23,
                "relation": "pair",
                "rotation": 27,
                "word": [
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  3,
                  4,
                  5,
                  6,
                  9,
                  10,
                  11,
                  14,
                  15,
                  16,
                  17,
                  20,
                  21,
                  22,
                  25,
                  26,
                  27,
                  28,
                  31,
                  32,
                  33,
                  36,
                  37,
                  38,
                  39,
                  42,
                  43,
                  44,
                  45,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3
                ],
                "reflection_target": 22,
                "relation": "pair",
                "rotation": 28,
                "word": [
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  6,
                  7,
                  8,
                  11,
                  12,
                  13,
                  14,
                  17,
                  18,
                  19,
                  22,
                  23,
                  24,
                  25,
                  28,
                  29,
                  30,
                  33,
                  34,
                  35,
                  36,
                  39,
                  40,
                  41,
                  42,
                  43,
                  44,
                  45
                ],
                "reflected_word": [
                  3,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1
                ],
                "reflection_target": 21,
                "relation": "pair",
                "rotation": 29,
                "word": [
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  3
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  5,
                  6,
                  7,
                  10,
                  11,
                  12,
                  13,
                  16,
                  17,
                  18,
                  21,
                  22,
                  23,
                  24,
                  27,
                  28,
                  29,
                  32,
                  33,
                  34,
                  35,
                  38,
                  39,
                  40,
                  41,
                  42,
                  43,
                  44,
                  47
                ],
                "reflected_word": [
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1
                ],
                "reflection_target": 20,
                "relation": "pair",
                "rotation": 30,
                "word": [
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  4,
                  5,
                  6,
                  9,
                  10,
                  11,
                  12,
                  15,
                  16,
                  17,
                  20,
                  21,
                  22,
                  23,
                  26,
                  27,
                  28,
                  31,
                  32,
                  33,
                  34,
                  37,
                  38,
                  39,
                  40,
                  41,
                  42,
                  43,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1
                ],
                "reflection_target": 19,
                "relation": "pair",
                "rotation": 31,
                "word": [
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  3,
                  4,
                  5,
                  8,
                  9,
                  10,
                  11,
                  14,
                  15,
                  16,
                  19,
                  20,
                  21,
                  22,
                  25,
                  26,
                  27,
                  30,
                  31,
                  32,
                  33,
                  36,
                  37,
                  38,
                  39,
                  40,
                  41,
                  42,
                  45,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3
                ],
                "reflection_target": 18,
                "relation": "pair",
                "rotation": 32,
                "word": [
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  3,
                  1,
                  1,
                  1
                ]
              }
            ],
            "self_reflections": 2,
            "word": [
              1,
              1,
              3,
              1,
              1,
              1,
              3,
              1,
              1,
              3,
              1,
              1,
              1,
              3,
              1,
              1,
              3,
              1,
              1,
              1,
              3,
              1,
              1,
              1,
              1,
              1,
              1,
              3,
              1,
              1,
              1,
              3
            ]
          }
        }
      }
    },
    "m5": {
      "base": {
        "cardinality": 6,
        "closed_under_reflection": true,
        "distinct_rotations": 3,
        "external_reflections": 0,
        "mirror_pairs": 1,
        "modulus": 12,
        "rotations": [
          {
            "pitch_path": [
              0,
              1,
              5,
              6,
              7,
              11
            ],
            "reflected_word": [
              1,
              4,
              1,
              1,
              4,
              1
            ],
            "reflection_target": 1,
            "relation": "self",
            "rotation": 1,
            "word": [
              1,
              4,
              1,
              1,
              4,
              1
            ]
          },
          {
            "pitch_path": [
              0,
              4,
              5,
              6,
              10,
              11
            ],
            "reflected_word": [
              1,
              1,
              4,
              1,
              1,
              4
            ],
            "reflection_target": 3,
            "relation": "pair",
            "rotation": 2,
            "word": [
              4,
              1,
              1,
              4,
              1,
              1
            ]
          },
          {
            "pitch_path": [
              0,
              1,
              2,
              6,
              7,
              8
            ],
            "reflected_word": [
              4,
              1,
              1,
              4,
              1,
              1
            ],
            "reflection_target": 2,
            "relation": "pair",
            "rotation": 3,
            "word": [
              1,
              1,
              4,
              1,
              1,
              4
            ]
          }
        ],
        "self_reflections": 1,
        "word": [
          1,
          4,
          1,
          1,
          4,
          1
        ]
      },
      "lifts": {
        "2": {
          "mirror_lift": {
            "cardinality": 12,
            "closed_under_reflection": true,
            "distinct_rotations": 3,
            "external_reflections": 0,
            "mirror_pairs": 1,
            "modulus": 24,
            "rotations": [
              {
                "pitch_path": [
                  0,
                  1,
                  5,
                  6,
                  7,
                  11,
                  12,
                  13,
                  17,
                  18,
                  19,
                  23
                ],
                "reflected_word": [
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1
                ],
                "reflection_target": 1,
                "relation": "self",
                "rotation": 1,
                "word": [
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  4,
                  5,
                  6,
                  10,
                  11,
                  12,
                  16,
                  17,
                  18,
                  22,
                  23
                ],
                "reflected_word": [
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4
                ],
                "reflection_target": 3,
                "relation": "pair",
                "rotation": 2,
                "word": [
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  6,
                  7,
                  8,
                  12,
                  13,
                  14,
                  18,
                  19,
                  20
                ],
                "reflected_word": [
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1
                ],
                "reflection_target": 2,
                "relation": "pair",
                "rotation": 3,
                "word": [
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4
                ]
              }
            ],
            "self_reflections": 1,
            "word": [
              1,
              4,
              1,
              1,
              4,
              1,
              1,
              4,
              1,
              1,
              4,
              1
            ]
          },
          "repeat": {
            "cardinality": 12,
            "closed_under_reflection": true,
            "distinct_rotations": 3,
            "external_reflections": 0,
            "mirror_pairs": 1,
            "modulus": 24,
            "rotations": [
              {
                "pitch_path": [
                  0,
                  1,
                  5,
                  6,
                  7,
                  11,
                  12,
                  13,
                  17,
                  18,
                  19,
                  23
                ],
                "reflected_word": [
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1
                ],
                "reflection_target": 1,
                "relation": "self",
                "rotation": 1,
                "word": [
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  4,
                  5,
                  6,
                  10,
                  11,
                  12,
                  16,
                  17,
                  18,
                  22,
                  23
                ],
                "reflected_word": [
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4
                ],
                "reflection_target": 3,
                "relation": "pair",
                "rotation": 2,
                "word": [
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  6,
                  7,
                  8,
                  12,
                  13,
                  14,
                  18,
                  19,
                  20
                ],
                "reflected_word": [
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1
                ],
                "reflection_target": 2,
                "relation": "pair",
                "rotation": 3,
                "word": [
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4
                ]
              }
            ],
            "self_reflections": 1,
            "word": [
              1,
              4,
              1,
              1,
              4,
              1,
              1,
              4,
              1,
              1,
              4,
              1
            ]
          },
          "rotate_lift": {
            "cardinality": 12,
            "closed_under_reflection": true,
            "distinct_rotations": 12,
            "external_reflections": 0,
            "mirror_pairs": 6,
            "modulus": 24,
            "rotations": [
              {
                "pitch_path": [
                  0,
                  1,
                  5,
                  6,
                  7,
                  11,
                  12,
                  16,
                  17,
                  18,
                  22,
                  23
                ],
                "reflected_word": [
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1
                ],
                "reflection_target": 12,
                "relation": "pair",
                "rotation": 1,
                "word": [
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  4,
                  5,
                  6,
                  10,
                  11,
                  15,
                  16,
                  17,
                  21,
                  22,
                  23
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4
                ],
                "reflection_target": 11,
                "relation": "pair",
                "rotation": 2,
                "word": [
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  6,
                  7,
                  11,
                  12,
                  13,
                  17,
                  18,
                  19,
                  20
                ],
                "reflected_word": [
                  4,
                  1,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1
                ],
                "reflection_target": 10,
                "relation": "pair",
                "rotation": 3,
                "word": [
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  1,
                  4
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  5,
                  6,
                  10,
                  11,
                  12,
                  16,
                  17,
                  18,
                  19,
                  23
                ],
                "reflected_word": [
                  1,
                  4,
                  1,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1
                ],
                "reflection_target": 9,
                "relation": "pair",
                "rotation": 4,
                "word": [
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  1,
                  4,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  4,
                  5,
                  9,
                  10,
                  11,
                  15,
                  16,
                  17,
                  18,
                  22,
                  23
                ],
                "reflected_word": [
                  1,
                  1,
                  4,
                  1,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4
                ],
                "reflection_target": 8,
                "relation": "pair",
                "rotation": 5,
                "word": [
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  1,
                  4,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  5,
                  6,
                  7,
                  11,
                  12,
                  13,
                  14,
                  18,
                  19,
                  20
                ],
                "reflected_word": [
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1
                ],
                "reflection_target": 7,
                "relation": "pair",
                "rotation": 6,
                "word": [
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4
                ]
              },
              {
                "pitch_path": [
                  0,
                  4,
                  5,
                  6,
                  10,
                  11,
                  12,
                  13,
                  17,
                  18,
                  19,
                  23
                ],
                "reflected_word": [
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4
                ],
                "reflection_target": 6,
                "relation": "pair",
                "rotation": 7,
                "word": [
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  6,
                  7,
                  8,
                  9,
                  13,
                  14,
                  15,
                  19,
                  20
                ],
                "reflected_word": [
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  1,
                  4,
                  1,
                  1
                ],
                "reflection_target": 5,
                "relation": "pair",
                "rotation": 8,
                "word": [
                  1,
                  1,
                  4,
                  1,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  5,
                  6,
                  7,
                  8,
                  12,
                  13,
                  14,
                  18,
                  19,
                  23
                ],
                "reflected_word": [
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  1,
                  4,
                  1
                ],
                "reflection_target": 4,
                "relation": "pair",
                "rotation": 9,
                "word": [
                  1,
                  4,
                  1,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  4,
                  5,
                  6,
                  7,
                  11,
                  12,
                  13,
                  17,
                  18,
                  22,
                  23
                ],
                "reflected_word": [
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  1,
                  4
                ],
                "reflection_target": 3,
                "relation": "pair",
                "rotation": 10,
                "word": [
                  4,
                  1,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  7,
                  8,
                  9,
                  13,
                  14,
                  18,
                  19,
                  20
                ],
                "reflected_word": [
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  1
                ],
                "reflection_target": 2,
                "relation": "pair",
                "rotation": 11,
                "word": [
                  1,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  6,
                  7,
                  8,
                  12,
                  13,
                  17,
                  18,
                  19,
                  23
                ],
                "reflected_word": [
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1
                ],
                "reflection_target": 1,
                "relation": "pair",
                "rotation": 12,
                "word": [
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1
                ]
              }
            ],
            "self_reflections": 0,
            "word": [
              1,
              4,
              1,
              1,
              4,
              1,
              4,
              1,
              1,
              4,
              1,
              1
            ]
          }
        },
        "3": {
          "mirror_lift": {
            "cardinality": 18,
            "closed_under_reflection": true,
            "distinct_rotations": 3,
            "external_reflections": 0,
            "mirror_pairs": 1,
            "modulus": 36,
            "rotations": [
              {
                "pitch_path": [
                  0,
                  1,
                  5,
                  6,
                  7,
                  11,
                  12,
                  13,
                  17,
                  18,
                  19,
                  23,
                  24,
                  25,
                  29,
                  30,
                  31,
                  35
                ],
                "reflected_word": [
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1
                ],
                "reflection_target": 1,
                "relation": "self",
                "rotation": 1,
                "word": [
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  4,
                  5,
                  6,
                  10,
                  11,
                  12,
                  16,
                  17,
                  18,
                  22,
                  23,
                  24,
                  28,
                  29,
                  30,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4
                ],
                "reflection_target": 3,
                "relation": "pair",
                "rotation": 2,
                "word": [
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  6,
                  7,
                  8,
                  12,
                  13,
                  14,
                  18,
                  19,
                  20,
                  24,
                  25,
                  26,
                  30,
                  31,
                  32
                ],
                "reflected_word": [
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1
                ],
                "reflection_target": 2,
                "relation": "pair",
                "rotation": 3,
                "word": [
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4
                ]
              }
            ],
            "self_reflections": 1,
            "word": [
              1,
              4,
              1,
              1,
              4,
              1,
              1,
              4,
              1,
              1,
              4,
              1,
              1,
              4,
              1,
              1,
              4,
              1
            ]
          },
          "repeat": {
            "cardinality": 18,
            "closed_under_reflection": true,
            "distinct_rotations": 3,
            "external_reflections": 0,
            "mirror_pairs": 1,
            "modulus": 36,
            "rotations": [
              {
                "pitch_path": [
                  0,
                  1,
                  5,
                  6,
                  7,
                  11,
                  12,
                  13,
                  17,
                  18,
                  19,
                  23,
                  24,
                  25,
                  29,
                  30,
                  31,
                  35
                ],
                "reflected_word": [
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1
                ],
                "reflection_target": 1,
                "relation": "self",
                "rotation": 1,
                "word": [
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  4,
                  5,
                  6,
                  10,
                  11,
                  12,
                  16,
                  17,
                  18,
                  22,
                  23,
                  24,
                  28,
                  29,
                  30,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4
                ],
                "reflection_target": 3,
                "relation": "pair",
                "rotation": 2,
                "word": [
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  6,
                  7,
                  8,
                  12,
                  13,
                  14,
                  18,
                  19,
                  20,
                  24,
                  25,
                  26,
                  30,
                  31,
                  32
                ],
                "reflected_word": [
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1
                ],
                "reflection_target": 2,
                "relation": "pair",
                "rotation": 3,
                "word": [
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4
                ]
              }
            ],
            "self_reflections": 1,
            "word": [
              1,
              4,
              1,
              1,
              4,
              1,
              1,
              4,
              1,
              1,
              4,
              1,
              1,
              4,
              1,
              1,
              4,
              1
            ]
          },
          "rotate_lift": {
            "cardinality": 18,
            "closed_under_reflection": true,
            "distinct_rotations": 18,
            "external_reflections": 0,
            "mirror_pairs": 8,
            "modulus": 36,
            "rotations": [
              {
                "pitch_path": [
                  0,
                  1,
                  5,
                  6,
                  7,
                  11,
                  12,
                  16,
                  17,
                  18,
                  22,
                  23,
                  24,
                  25,
                  26,
                  30,
                  31,
                  32
                ],
                "reflected_word": [
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1
                ],
                "reflection_target": 7,
                "relation": "pair",
                "rotation": 1,
                "word": [
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4
                ]
              },
              {
                "pitch_path": [
                  0,
                  4,
                  5,
                  6,
                  10,
                  11,
                  15,
                  16,
                  17,
                  21,
                  22,
                  23,
                  24,
                  25,
                  29,
                  30,
                  31,
                  35
                ],
                "reflected_word": [
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4
                ],
                "reflection_target": 6,
                "relation": "pair",
                "rotation": 2,
                "word": [
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  6,
                  7,
                  11,
                  12,
                  13,
                  17,
                  18,
                  19,
                  20,
                  21,
                  25,
                  26,
                  27,
                  31,
                  32
                ],
                "reflected_word": [
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1
                ],
                "reflection_target": 5,
                "relation": "pair",
                "rotation": 3,
                "word": [
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  5,
                  6,
                  10,
                  11,
                  12,
                  16,
                  17,
                  18,
                  19,
                  20,
                  24,
                  25,
                  26,
                  30,
                  31,
                  35
                ],
                "reflected_word": [
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1
                ],
                "reflection_target": 4,
                "relation": "self",
                "rotation": 4,
                "word": [
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  4,
                  5,
                  9,
                  10,
                  11,
                  15,
                  16,
                  17,
                  18,
                  19,
                  23,
                  24,
                  25,
                  29,
                  30,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4
                ],
                "reflection_target": 3,
                "relation": "pair",
                "rotation": 5,
                "word": [
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  5,
                  6,
                  7,
                  11,
                  12,
                  13,
                  14,
                  15,
                  19,
                  20,
                  21,
                  25,
                  26,
                  30,
                  31,
                  32
                ],
                "reflected_word": [
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1
                ],
                "reflection_target": 2,
                "relation": "pair",
                "rotation": 6,
                "word": [
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4
                ]
              },
              {
                "pitch_path": [
                  0,
                  4,
                  5,
                  6,
                  10,
                  11,
                  12,
                  13,
                  14,
                  18,
                  19,
                  20,
                  24,
                  25,
                  29,
                  30,
                  31,
                  35
                ],
                "reflected_word": [
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4
                ],
                "reflection_target": 1,
                "relation": "pair",
                "rotation": 7,
                "word": [
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  6,
                  7,
                  8,
                  9,
                  10,
                  14,
                  15,
                  16,
                  20,
                  21,
                  25,
                  26,
                  27,
                  31,
                  32
                ],
                "reflected_word": [
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  1,
                  1,
                  4,
                  1,
                  1
                ],
                "reflection_target": 18,
                "relation": "pair",
                "rotation": 8,
                "word": [
                  1,
                  1,
                  4,
                  1,
                  1,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  5,
                  6,
                  7,
                  8,
                  9,
                  13,
                  14,
                  15,
                  19,
                  20,
                  24,
                  25,
                  26,
                  30,
                  31,
                  35
                ],
                "reflected_word": [
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  1,
                  1,
                  4,
                  1
                ],
                "reflection_target": 17,
                "relation": "pair",
                "rotation": 9,
                "word": [
                  1,
                  4,
                  1,
                  1,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  4,
                  5,
                  6,
                  7,
                  8,
                  12,
                  13,
                  14,
                  18,
                  19,
                  23,
                  24,
                  25,
                  29,
                  30,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  1,
                  1,
                  4
                ],
                "reflection_target": 16,
                "relation": "pair",
                "rotation": 10,
                "word": [
                  4,
                  1,
                  1,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  4,
                  8,
                  9,
                  10,
                  14,
                  15,
                  19,
                  20,
                  21,
                  25,
                  26,
                  30,
                  31,
                  32
                ],
                "reflected_word": [
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  1,
                  1
                ],
                "reflection_target": 15,
                "relation": "pair",
                "rotation": 11,
                "word": [
                  1,
                  1,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  7,
                  8,
                  9,
                  13,
                  14,
                  18,
                  19,
                  20,
                  24,
                  25,
                  29,
                  30,
                  31,
                  35
                ],
                "reflected_word": [
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  1
                ],
                "reflection_target": 14,
                "relation": "pair",
                "rotation": 12,
                "word": [
                  1,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  6,
                  7,
                  8,
                  12,
                  13,
                  17,
                  18,
                  19,
                  23,
                  24,
                  28,
                  29,
                  30,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1
                ],
                "reflection_target": 13,
                "relation": "self",
                "rotation": 13,
                "word": [
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  5,
                  6,
                  7,
                  11,
                  12,
                  16,
                  17,
                  18,
                  22,
                  23,
                  27,
                  28,
                  29,
                  33,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1
                ],
                "reflection_target": 12,
                "relation": "pair",
                "rotation": 14,
                "word": [
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  4,
                  5,
                  6,
                  10,
                  11,
                  15,
                  16,
                  17,
                  21,
                  22,
                  26,
                  27,
                  28,
                  32,
                  33,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4
                ],
                "reflection_target": 11,
                "relation": "pair",
                "rotation": 15,
                "word": [
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  6,
                  7,
                  11,
                  12,
                  13,
                  17,
                  18,
                  22,
                  23,
                  24,
                  28,
                  29,
                  30,
                  31,
                  32
                ],
                "reflected_word": [
                  4,
                  1,
                  1,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1
                ],
                "reflection_target": 10,
                "relation": "pair",
                "rotation": 16,
                "word": [
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  1,
                  1,
                  4
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  5,
                  6,
                  10,
                  11,
                  12,
                  16,
                  17,
                  21,
                  22,
                  23,
                  27,
                  28,
                  29,
                  30,
                  31,
                  35
                ],
                "reflected_word": [
                  1,
                  4,
                  1,
                  1,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1
                ],
                "reflection_target": 9,
                "relation": "pair",
                "rotation": 17,
                "word": [
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  1,
                  1,
                  4,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  4,
                  5,
                  9,
                  10,
                  11,
                  15,
                  16,
                  20,
                  21,
                  22,
                  26,
                  27,
                  28,
                  29,
                  30,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  4,
                  1,
                  1,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4
                ],
                "reflection_target": 8,
                "relation": "pair",
                "rotation": 18,
                "word": [
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  1,
                  1,
                  4,
                  1,
                  1
                ]
              }
            ],
            "self_reflections": 2,
            "word": [
              1,
              4,
              1,
              1,
              4,
              1,
              4,
              1,
              1,
              4,
              1,
              1,
              1,
              1,
              4,
              1,
              1,
              4
            ]
          }
        },
        "4": {
          "mirror_lift": {
            "cardinality": 24,
            "closed_under_reflection": true,
            "distinct_rotations": 3,
            "external_reflections": 0,
            "mirror_pairs": 1,
            "modulus": 48,
            "rotations": [
              {
                "pitch_path": [
                  0,
                  1,
                  5,
                  6,
                  7,
                  11,
                  12,
                  13,
                  17,
                  18,
                  19,
                  23,
                  24,
                  25,
                  29,
                  30,
                  31,
                  35,
                  36,
                  37,
                  41,
                  42,
                  43,
                  47
                ],
                "reflected_word": [
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1
                ],
                "reflection_target": 1,
                "relation": "self",
                "rotation": 1,
                "word": [
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  4,
                  5,
                  6,
                  10,
                  11,
                  12,
                  16,
                  17,
                  18,
                  22,
                  23,
                  24,
                  28,
                  29,
                  30,
                  34,
                  35,
                  36,
                  40,
                  41,
                  42,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4
                ],
                "reflection_target": 3,
                "relation": "pair",
                "rotation": 2,
                "word": [
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  6,
                  7,
                  8,
                  12,
                  13,
                  14,
                  18,
                  19,
                  20,
                  24,
                  25,
                  26,
                  30,
                  31,
                  32,
                  36,
                  37,
                  38,
                  42,
                  43,
                  44
                ],
                "reflected_word": [
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1
                ],
                "reflection_target": 2,
                "relation": "pair",
                "rotation": 3,
                "word": [
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4
                ]
              }
            ],
            "self_reflections": 1,
            "word": [
              1,
              4,
              1,
              1,
              4,
              1,
              1,
              4,
              1,
              1,
              4,
              1,
              1,
              4,
              1,
              1,
              4,
              1,
              1,
              4,
              1,
              1,
              4,
              1
            ]
          },
          "repeat": {
            "cardinality": 24,
            "closed_under_reflection": true,
            "distinct_rotations": 3,
            "external_reflections": 0,
            "mirror_pairs": 1,
            "modulus": 48,
            "rotations": [
              {
                "pitch_path": [
                  0,
                  1,
                  5,
                  6,
                  7,
                  11,
                  12,
                  13,
                  17,
                  18,
                  19,
                  23,
                  24,
                  25,
                  29,
                  30,
                  31,
                  35,
                  36,
                  37,
                  41,
                  42,
                  43,
                  47
                ],
                "reflected_word": [
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1
                ],
                "reflection_target": 1,
                "relation": "self",
                "rotation": 1,
                "word": [
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  4,
                  5,
                  6,
                  10,
                  11,
                  12,
                  16,
                  17,
                  18,
                  22,
                  23,
                  24,
                  28,
                  29,
                  30,
                  34,
                  35,
                  36,
                  40,
                  41,
                  42,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4
                ],
                "reflection_target": 3,
                "relation": "pair",
                "rotation": 2,
                "word": [
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  6,
                  7,
                  8,
                  12,
                  13,
                  14,
                  18,
                  19,
                  20,
                  24,
                  25,
                  26,
                  30,
                  31,
                  32,
                  36,
                  37,
                  38,
                  42,
                  43,
                  44
                ],
                "reflected_word": [
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1
                ],
                "reflection_target": 2,
                "relation": "pair",
                "rotation": 3,
                "word": [
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4
                ]
              }
            ],
            "self_reflections": 1,
            "word": [
              1,
              4,
              1,
              1,
              4,
              1,
              1,
              4,
              1,
              1,
              4,
              1,
              1,
              4,
              1,
              1,
              4,
              1,
              1,
              4,
              1,
              1,
              4,
              1
            ]
          },
          "rotate_lift": {
            "cardinality": 24,
            "closed_under_reflection": true,
            "distinct_rotations": 24,
            "external_reflections": 0,
            "mirror_pairs": 11,
            "modulus": 48,
            "rotations": [
              {
                "pitch_path": [
                  0,
                  1,
                  5,
                  6,
                  7,
                  11,
                  12,
                  16,
                  17,
                  18,
                  22,
                  23,
                  24,
                  25,
                  26,
                  30,
                  31,
                  32,
                  36,
                  37,
                  41,
                  42,
                  43,
                  47
                ],
                "reflected_word": [
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1
                ],
                "reflection_target": 1,
                "relation": "self",
                "rotation": 1,
                "word": [
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  4,
                  5,
                  6,
                  10,
                  11,
                  15,
                  16,
                  17,
                  21,
                  22,
                  23,
                  24,
                  25,
                  29,
                  30,
                  31,
                  35,
                  36,
                  40,
                  41,
                  42,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4
                ],
                "reflection_target": 24,
                "relation": "pair",
                "rotation": 2,
                "word": [
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  6,
                  7,
                  11,
                  12,
                  13,
                  17,
                  18,
                  19,
                  20,
                  21,
                  25,
                  26,
                  27,
                  31,
                  32,
                  36,
                  37,
                  38,
                  42,
                  43,
                  44
                ],
                "reflected_word": [
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1
                ],
                "reflection_target": 23,
                "relation": "pair",
                "rotation": 3,
                "word": [
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  5,
                  6,
                  10,
                  11,
                  12,
                  16,
                  17,
                  18,
                  19,
                  20,
                  24,
                  25,
                  26,
                  30,
                  31,
                  35,
                  36,
                  37,
                  41,
                  42,
                  43,
                  47
                ],
                "reflected_word": [
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1
                ],
                "reflection_target": 22,
                "relation": "pair",
                "rotation": 4,
                "word": [
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  4,
                  5,
                  9,
                  10,
                  11,
                  15,
                  16,
                  17,
                  18,
                  19,
                  23,
                  24,
                  25,
                  29,
                  30,
                  34,
                  35,
                  36,
                  40,
                  41,
                  42,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4
                ],
                "reflection_target": 21,
                "relation": "pair",
                "rotation": 5,
                "word": [
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  5,
                  6,
                  7,
                  11,
                  12,
                  13,
                  14,
                  15,
                  19,
                  20,
                  21,
                  25,
                  26,
                  30,
                  31,
                  32,
                  36,
                  37,
                  38,
                  42,
                  43,
                  44
                ],
                "reflected_word": [
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1
                ],
                "reflection_target": 20,
                "relation": "pair",
                "rotation": 6,
                "word": [
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4
                ]
              },
              {
                "pitch_path": [
                  0,
                  4,
                  5,
                  6,
                  10,
                  11,
                  12,
                  13,
                  14,
                  18,
                  19,
                  20,
                  24,
                  25,
                  29,
                  30,
                  31,
                  35,
                  36,
                  37,
                  41,
                  42,
                  43,
                  47
                ],
                "reflected_word": [
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4
                ],
                "reflection_target": 19,
                "relation": "pair",
                "rotation": 7,
                "word": [
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  6,
                  7,
                  8,
                  9,
                  10,
                  14,
                  15,
                  16,
                  20,
                  21,
                  25,
                  26,
                  27,
                  31,
                  32,
                  33,
                  37,
                  38,
                  39,
                  43,
                  44
                ],
                "reflected_word": [
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  1,
                  1,
                  4,
                  1,
                  1
                ],
                "reflection_target": 18,
                "relation": "pair",
                "rotation": 8,
                "word": [
                  1,
                  1,
                  4,
                  1,
                  1,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  5,
                  6,
                  7,
                  8,
                  9,
                  13,
                  14,
                  15,
                  19,
                  20,
                  24,
                  25,
                  26,
                  30,
                  31,
                  32,
                  36,
                  37,
                  38,
                  42,
                  43,
                  47
                ],
                "reflected_word": [
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  1,
                  1,
                  4,
                  1
                ],
                "reflection_target": 17,
                "relation": "pair",
                "rotation": 9,
                "word": [
                  1,
                  4,
                  1,
                  1,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  4,
                  5,
                  6,
                  7,
                  8,
                  12,
                  13,
                  14,
                  18,
                  19,
                  23,
                  24,
                  25,
                  29,
                  30,
                  31,
                  35,
                  36,
                  37,
                  41,
                  42,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  1,
                  1,
                  4
                ],
                "reflection_target": 16,
                "relation": "pair",
                "rotation": 10,
                "word": [
                  4,
                  1,
                  1,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  4,
                  8,
                  9,
                  10,
                  14,
                  15,
                  19,
                  20,
                  21,
                  25,
                  26,
                  27,
                  31,
                  32,
                  33,
                  37,
                  38,
                  42,
                  43,
                  44
                ],
                "reflected_word": [
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  1,
                  1
                ],
                "reflection_target": 15,
                "relation": "pair",
                "rotation": 11,
                "word": [
                  1,
                  1,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  7,
                  8,
                  9,
                  13,
                  14,
                  18,
                  19,
                  20,
                  24,
                  25,
                  26,
                  30,
                  31,
                  32,
                  36,
                  37,
                  41,
                  42,
                  43,
                  47
                ],
                "reflected_word": [
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  1
                ],
                "reflection_target": 14,
                "relation": "pair",
                "rotation": 12,
                "word": [
                  1,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  6,
                  7,
                  8,
                  12,
                  13,
                  17,
                  18,
                  19,
                  23,
                  24,
                  25,
                  29,
                  30,
                  31,
                  35,
                  36,
                  40,
                  41,
                  42,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1
                ],
                "reflection_target": 13,
                "relation": "self",
                "rotation": 13,
                "word": [
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  5,
                  6,
                  7,
                  11,
                  12,
                  16,
                  17,
                  18,
                  22,
                  23,
                  24,
                  28,
                  29,
                  30,
                  34,
                  35,
                  39,
                  40,
                  41,
                  45,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1
                ],
                "reflection_target": 12,
                "relation": "pair",
                "rotation": 14,
                "word": [
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  4,
                  5,
                  6,
                  10,
                  11,
                  15,
                  16,
                  17,
                  21,
                  22,
                  23,
                  27,
                  28,
                  29,
                  33,
                  34,
                  38,
                  39,
                  40,
                  44,
                  45,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4
                ],
                "reflection_target": 11,
                "relation": "pair",
                "rotation": 15,
                "word": [
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  6,
                  7,
                  11,
                  12,
                  13,
                  17,
                  18,
                  19,
                  23,
                  24,
                  25,
                  29,
                  30,
                  34,
                  35,
                  36,
                  40,
                  41,
                  42,
                  43,
                  44
                ],
                "reflected_word": [
                  4,
                  1,
                  1,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1
                ],
                "reflection_target": 10,
                "relation": "pair",
                "rotation": 16,
                "word": [
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  1,
                  1,
                  4
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  5,
                  6,
                  10,
                  11,
                  12,
                  16,
                  17,
                  18,
                  22,
                  23,
                  24,
                  28,
                  29,
                  33,
                  34,
                  35,
                  39,
                  40,
                  41,
                  42,
                  43,
                  47
                ],
                "reflected_word": [
                  1,
                  4,
                  1,
                  1,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1
                ],
                "reflection_target": 9,
                "relation": "pair",
                "rotation": 17,
                "word": [
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  1,
                  1,
                  4,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  4,
                  5,
                  9,
                  10,
                  11,
                  15,
                  16,
                  17,
                  21,
                  22,
                  23,
                  27,
                  28,
                  32,
                  33,
                  34,
                  38,
                  39,
                  40,
                  41,
                  42,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  4,
                  1,
                  1,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4
                ],
                "reflection_target": 8,
                "relation": "pair",
                "rotation": 18,
                "word": [
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  1,
                  1,
                  4,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  5,
                  6,
                  7,
                  11,
                  12,
                  13,
                  17,
                  18,
                  19,
                  23,
                  24,
                  28,
                  29,
                  30,
                  34,
                  35,
                  36,
                  37,
                  38,
                  42,
                  43,
                  44
                ],
                "reflected_word": [
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1
                ],
                "reflection_target": 7,
                "relation": "pair",
                "rotation": 19,
                "word": [
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4
                ]
              },
              {
                "pitch_path": [
                  0,
                  4,
                  5,
                  6,
                  10,
                  11,
                  12,
                  16,
                  17,
                  18,
                  22,
                  23,
                  27,
                  28,
                  29,
                  33,
                  34,
                  35,
                  36,
                  37,
                  41,
                  42,
                  43,
                  47
                ],
                "reflected_word": [
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4
                ],
                "reflection_target": 6,
                "relation": "pair",
                "rotation": 20,
                "word": [
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  6,
                  7,
                  8,
                  12,
                  13,
                  14,
                  18,
                  19,
                  23,
                  24,
                  25,
                  29,
                  30,
                  31,
                  32,
                  33,
                  37,
                  38,
                  39,
                  43,
                  44
                ],
                "reflected_word": [
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1
                ],
                "reflection_target": 5,
                "relation": "pair",
                "rotation": 21,
                "word": [
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  5,
                  6,
                  7,
                  11,
                  12,
                  13,
                  17,
                  18,
                  22,
                  23,
                  24,
                  28,
                  29,
                  30,
                  31,
                  32,
                  36,
                  37,
                  38,
                  42,
                  43,
                  47
                ],
                "reflected_word": [
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1
                ],
                "reflection_target": 4,
                "relation": "pair",
                "rotation": 22,
                "word": [
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  4,
                  5,
                  6,
                  10,
                  11,
                  12,
                  16,
                  17,
                  21,
                  22,
                  23,
                  27,
                  28,
                  29,
                  30,
                  31,
                  35,
                  36,
                  37,
                  41,
                  42,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4
                ],
                "reflection_target": 3,
                "relation": "pair",
                "rotation": 23,
                "word": [
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  6,
                  7,
                  8,
                  12,
                  13,
                  17,
                  18,
                  19,
                  23,
                  24,
                  25,
                  26,
                  27,
                  31,
                  32,
                  33,
                  37,
                  38,
                  42,
                  43,
                  44
                ],
                "reflected_word": [
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1
                ],
                "reflection_target": 2,
                "relation": "pair",
                "rotation": 24,
                "word": [
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  1,
                  1,
                  1,
                  4,
                  1,
                  1,
                  4,
                  1,
                  4,
                  1,
                  1,
                  4
                ]
              }
            ],
            "self_reflections": 2,
            "word": [
              1,
              4,
              1,
              1,
              4,
              1,
              4,
              1,
              1,
              4,
              1,
              1,
              1,
              1,
              4,
              1,
              1,
              4,
              1,
              4,
              1,
              1,
              4,
              1
            ]
          }
        }
      }
    },
    "m6": {
      "base": {
        "cardinality": 8,
        "closed_under_reflection": true,
        "distinct_rotations": 4,
        "external_reflections": 0,
        "mirror_pairs": 1,
        "modulus": 12,
        "rotations": [
          {
            "pitch_path": [
              0,
              2,
              4,
              5,
              6,
              8,
              10,
              11
            ],
            "reflected_word": [
              1,
              1,
              2,
              2,
              1,
              1,
              2,
              2
            ],
            "reflection_target": 3,
            "relation": "pair",
            "rotation": 1,
            "word": [
              2,
              2,
              1,
              1,
              2,
              2,
              1,
              1
            ]
          },
          {
            "pitch_path": [
              0,
              2,
              3,
              4,
              6,
              8,
              9,
              10
            ],
            "reflected_word": [
              2,
              1,
              1,
              2,
              2,
              1,
              1,
              2
            ],
            "reflection_target": 2,
            "relation": "self",
            "rotation": 2,
            "word": [
              2,
              1,
              1,
              2,
              2,
              1,
              1,
              2
            ]
          },
          {
            "pitch_path": [
              0,
              1,
              2,
              4,
              6,
              7,
              8,
              10
            ],
            "reflected_word": [
              2,
              2,
              1,
              1,
              2,
              2,
              1,
              1
            ],
            "reflection_target": 1,
            "relation": "pair",
            "rotation": 3,
            "word": [
              1,
              1,
              2,
              2,
              1,
              1,
              2,
              2
            ]
          },
          {
            "pitch_path": [
              0,
              1,
              3,
              5,
              6,
              7,
              9,
              11
            ],
            "reflected_word": [
              1,
              2,
              2,
              1,
              1,
              2,
              2,
              1
            ],
            "reflection_target": 4,
            "relation": "self",
            "rotation": 4,
            "word": [
              1,
              2,
              2,
              1,
              1,
              2,
              2,
              1
            ]
          }
        ],
        "self_reflections": 2,
        "word": [
          2,
          2,
          1,
          1,
          2,
          2,
          1,
          1
        ]
      },
      "lifts": {
        "2": {
          "mirror_lift": {
            "cardinality": 16,
            "closed_under_reflection": true,
            "distinct_rotations": 16,
            "external_reflections": 0,
            "mirror_pairs": 7,
            "modulus": 24,
            "rotations": [
              {
                "pitch_path": [
                  0,
                  2,
                  4,
                  5,
                  6,
                  8,
                  10,
                  11,
                  12,
                  13,
                  14,
                  16,
                  18,
                  19,
                  20,
                  22
                ],
                "reflected_word": [
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2
                ],
                "reflection_target": 1,
                "relation": "self",
                "rotation": 1,
                "word": [
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  6,
                  8,
                  9,
                  10,
                  11,
                  12,
                  14,
                  16,
                  17,
                  18,
                  20,
                  22
                ],
                "reflected_word": [
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2
                ],
                "reflection_target": 16,
                "relation": "pair",
                "rotation": 2,
                "word": [
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  6,
                  7,
                  8,
                  9,
                  10,
                  12,
                  14,
                  15,
                  16,
                  18,
                  20,
                  22
                ],
                "reflected_word": [
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1
                ],
                "reflection_target": 15,
                "relation": "pair",
                "rotation": 3,
                "word": [
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  5,
                  6,
                  7,
                  8,
                  9,
                  11,
                  13,
                  14,
                  15,
                  17,
                  19,
                  21,
                  23
                ],
                "reflected_word": [
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1
                ],
                "reflection_target": 14,
                "relation": "pair",
                "rotation": 4,
                "word": [
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  4,
                  5,
                  6,
                  7,
                  8,
                  10,
                  12,
                  13,
                  14,
                  16,
                  18,
                  20,
                  22,
                  23
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2
                ],
                "reflection_target": 13,
                "relation": "pair",
                "rotation": 5,
                "word": [
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  5,
                  6,
                  8,
                  10,
                  11,
                  12,
                  14,
                  16,
                  18,
                  20,
                  21,
                  22
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2
                ],
                "reflection_target": 12,
                "relation": "pair",
                "rotation": 6,
                "word": [
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  4,
                  6,
                  8,
                  9,
                  10,
                  12,
                  14,
                  16,
                  18,
                  19,
                  20,
                  22
                ],
                "reflected_word": [
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1
                ],
                "reflection_target": 11,
                "relation": "pair",
                "rotation": 7,
                "word": [
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  5,
                  7,
                  8,
                  9,
                  11,
                  13,
                  15,
                  17,
                  18,
                  19,
                  21,
                  23
                ],
                "reflected_word": [
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1
                ],
                "reflection_target": 10,
                "relation": "pair",
                "rotation": 8,
                "word": [
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  6,
                  7,
                  8,
                  10,
                  12,
                  14,
                  16,
                  17,
                  18,
                  20,
                  22,
                  23
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1
                ],
                "reflection_target": 9,
                "relation": "self",
                "rotation": 9,
                "word": [
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  5,
                  6,
                  7,
                  9,
                  11,
                  13,
                  15,
                  16,
                  17,
                  19,
                  21,
                  22,
                  23
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1
                ],
                "reflection_target": 8,
                "relation": "pair",
                "rotation": 10,
                "word": [
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  4,
                  5,
                  6,
                  8,
                  10,
                  12,
                  14,
                  15,
                  16,
                  18,
                  20,
                  21,
                  22,
                  23
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2
                ],
                "reflection_target": 7,
                "relation": "pair",
                "rotation": 11,
                "word": [
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  6,
                  8,
                  10,
                  12,
                  13,
                  14,
                  16,
                  18,
                  19,
                  20,
                  21,
                  22
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2
                ],
                "reflection_target": 6,
                "relation": "pair",
                "rotation": 12,
                "word": [
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  6,
                  8,
                  10,
                  11,
                  12,
                  14,
                  16,
                  17,
                  18,
                  19,
                  20,
                  22
                ],
                "reflected_word": [
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1
                ],
                "reflection_target": 5,
                "relation": "pair",
                "rotation": 13,
                "word": [
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  5,
                  7,
                  9,
                  10,
                  11,
                  13,
                  15,
                  16,
                  17,
                  18,
                  19,
                  21,
                  23
                ],
                "reflected_word": [
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1
                ],
                "reflection_target": 4,
                "relation": "pair",
                "rotation": 14,
                "word": [
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  4,
                  6,
                  8,
                  9,
                  10,
                  12,
                  14,
                  15,
                  16,
                  17,
                  18,
                  20,
                  22,
                  23
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2
                ],
                "reflection_target": 3,
                "relation": "pair",
                "rotation": 15,
                "word": [
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  4,
                  6,
                  7,
                  8,
                  10,
                  12,
                  13,
                  14,
                  15,
                  16,
                  18,
                  20,
                  21,
                  22
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2
                ],
                "reflection_target": 2,
                "relation": "pair",
                "rotation": 16,
                "word": [
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2
                ]
              }
            ],
            "self_reflections": 2,
            "word": [
              2,
              2,
              1,
              1,
              2,
              2,
              1,
              1,
              1,
              1,
              2,
              2,
              1,
              1,
              2,
              2
            ]
          },
          "repeat": {
            "cardinality": 16,
            "closed_under_reflection": true,
            "distinct_rotations": 4,
            "external_reflections": 0,
            "mirror_pairs": 1,
            "modulus": 24,
            "rotations": [
              {
                "pitch_path": [
                  0,
                  2,
                  4,
                  5,
                  6,
                  8,
                  10,
                  11,
                  12,
                  14,
                  16,
                  17,
                  18,
                  20,
                  22,
                  23
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2
                ],
                "reflection_target": 3,
                "relation": "pair",
                "rotation": 1,
                "word": [
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  6,
                  8,
                  9,
                  10,
                  12,
                  14,
                  15,
                  16,
                  18,
                  20,
                  21,
                  22
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2
                ],
                "reflection_target": 2,
                "relation": "self",
                "rotation": 2,
                "word": [
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  6,
                  7,
                  8,
                  10,
                  12,
                  13,
                  14,
                  16,
                  18,
                  19,
                  20,
                  22
                ],
                "reflected_word": [
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1
                ],
                "reflection_target": 1,
                "relation": "pair",
                "rotation": 3,
                "word": [
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  5,
                  6,
                  7,
                  9,
                  11,
                  12,
                  13,
                  15,
                  17,
                  18,
                  19,
                  21,
                  23
                ],
                "reflected_word": [
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1
                ],
                "reflection_target": 4,
                "relation": "self",
                "rotation": 4,
                "word": [
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1
                ]
              }
            ],
            "self_reflections": 2,
            "word": [
              2,
              2,
              1,
              1,
              2,
              2,
              1,
              1,
              2,
              2,
              1,
              1,
              2,
              2,
              1,
              1
            ]
          },
          "rotate_lift": {
            "cardinality": 16,
            "closed_under_reflection": true,
            "distinct_rotations": 16,
            "external_reflections": 0,
            "mirror_pairs": 8,
            "modulus": 24,
            "rotations": [
              {
                "pitch_path": [
                  0,
                  2,
                  4,
                  5,
                  6,
                  8,
                  10,
                  11,
                  12,
                  14,
                  15,
                  16,
                  18,
                  20,
                  21,
                  22
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2
                ],
                "reflection_target": 2,
                "relation": "pair",
                "rotation": 1,
                "word": [
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  6,
                  8,
                  9,
                  10,
                  12,
                  13,
                  14,
                  16,
                  18,
                  19,
                  20,
                  22
                ],
                "reflected_word": [
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2
                ],
                "reflection_target": 1,
                "relation": "pair",
                "rotation": 2,
                "word": [
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  6,
                  7,
                  8,
                  10,
                  11,
                  12,
                  14,
                  16,
                  17,
                  18,
                  20,
                  22
                ],
                "reflected_word": [
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1
                ],
                "reflection_target": 16,
                "relation": "pair",
                "rotation": 3,
                "word": [
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  5,
                  6,
                  7,
                  9,
                  10,
                  11,
                  13,
                  15,
                  16,
                  17,
                  19,
                  21,
                  23
                ],
                "reflected_word": [
                  1,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1
                ],
                "reflection_target": 15,
                "relation": "pair",
                "rotation": 4,
                "word": [
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  4,
                  5,
                  6,
                  8,
                  9,
                  10,
                  12,
                  14,
                  15,
                  16,
                  18,
                  20,
                  22,
                  23
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2
                ],
                "reflection_target": 14,
                "relation": "pair",
                "rotation": 5,
                "word": [
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  6,
                  7,
                  8,
                  10,
                  12,
                  13,
                  14,
                  16,
                  18,
                  20,
                  21,
                  22
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2
                ],
                "reflection_target": 13,
                "relation": "pair",
                "rotation": 6,
                "word": [
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  5,
                  6,
                  8,
                  10,
                  11,
                  12,
                  14,
                  16,
                  18,
                  19,
                  20,
                  22
                ],
                "reflected_word": [
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1
                ],
                "reflection_target": 12,
                "relation": "pair",
                "rotation": 7,
                "word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  5,
                  7,
                  9,
                  10,
                  11,
                  13,
                  15,
                  17,
                  18,
                  19,
                  21,
                  23
                ],
                "reflected_word": [
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1
                ],
                "reflection_target": 11,
                "relation": "pair",
                "rotation": 8,
                "word": [
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  6,
                  8,
                  9,
                  10,
                  12,
                  14,
                  16,
                  17,
                  18,
                  20,
                  22,
                  23
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2
                ],
                "reflection_target": 10,
                "relation": "pair",
                "rotation": 9,
                "word": [
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  6,
                  7,
                  8,
                  10,
                  12,
                  14,
                  15,
                  16,
                  18,
                  20,
                  21,
                  22
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1
                ],
                "reflection_target": 9,
                "relation": "pair",
                "rotation": 10,
                "word": [
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  5,
                  6,
                  7,
                  9,
                  11,
                  13,
                  14,
                  15,
                  17,
                  19,
                  20,
                  21,
                  23
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1
                ],
                "reflection_target": 8,
                "relation": "pair",
                "rotation": 11,
                "word": [
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  4,
                  5,
                  6,
                  8,
                  10,
                  12,
                  13,
                  14,
                  16,
                  18,
                  19,
                  20,
                  22,
                  23
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2
                ],
                "reflection_target": 7,
                "relation": "pair",
                "rotation": 12,
                "word": [
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  6,
                  8,
                  10,
                  11,
                  12,
                  14,
                  16,
                  17,
                  18,
                  20,
                  21,
                  22
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2
                ],
                "reflection_target": 6,
                "relation": "pair",
                "rotation": 13,
                "word": [
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  6,
                  8,
                  9,
                  10,
                  12,
                  14,
                  15,
                  16,
                  18,
                  19,
                  20,
                  22
                ],
                "reflected_word": [
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  1,
                  1
                ],
                "reflection_target": 5,
                "relation": "pair",
                "rotation": 14,
                "word": [
                  1,
                  1,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  5,
                  7,
                  8,
                  9,
                  11,
                  13,
                  14,
                  15,
                  17,
                  18,
                  19,
                  21,
                  23
                ],
                "reflected_word": [
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  1
                ],
                "reflection_target": 4,
                "relation": "pair",
                "rotation": 15,
                "word": [
                  1,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  4,
                  6,
                  7,
                  8,
                  10,
                  12,
                  13,
                  14,
                  16,
                  17,
                  18,
                  20,
                  22,
                  23
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2
                ],
                "reflection_target": 3,
                "relation": "pair",
                "rotation": 16,
                "word": [
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1
                ]
              }
            ],
            "self_reflections": 0,
            "word": [
              2,
              2,
              1,
              1,
              2,
              2,
              1,
              1,
              2,
              1,
              1,
              2,
              2,
              1,
              1,
              2
            ]
          }
        },
        "3": {
          "mirror_lift": {
            "cardinality": 24,
            "closed_under_reflection": false,
            "distinct_rotations": 24,
            "external_reflections": 24,
            "mirror_pairs": 0,
            "modulus": 36,
            "rotations": [
              {
                "pitch_path": [
                  0,
                  2,
                  4,
                  5,
                  6,
                  8,
                  10,
                  11,
                  12,
                  13,
                  14,
                  16,
                  18,
                  19,
                  20,
                  22,
                  24,
                  26,
                  28,
                  29,
                  30,
                  32,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 1,
                "word": [
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  6,
                  8,
                  9,
                  10,
                  11,
                  12,
                  14,
                  16,
                  17,
                  18,
                  20,
                  22,
                  24,
                  26,
                  27,
                  28,
                  30,
                  32,
                  33,
                  34
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 2,
                "word": [
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  6,
                  7,
                  8,
                  9,
                  10,
                  12,
                  14,
                  15,
                  16,
                  18,
                  20,
                  22,
                  24,
                  25,
                  26,
                  28,
                  30,
                  31,
                  32,
                  34
                ],
                "reflected_word": [
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 3,
                "word": [
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  5,
                  6,
                  7,
                  8,
                  9,
                  11,
                  13,
                  14,
                  15,
                  17,
                  19,
                  21,
                  23,
                  24,
                  25,
                  27,
                  29,
                  30,
                  31,
                  33,
                  35
                ],
                "reflected_word": [
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 4,
                "word": [
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  4,
                  5,
                  6,
                  7,
                  8,
                  10,
                  12,
                  13,
                  14,
                  16,
                  18,
                  20,
                  22,
                  23,
                  24,
                  26,
                  28,
                  29,
                  30,
                  32,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 5,
                "word": [
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  5,
                  6,
                  8,
                  10,
                  11,
                  12,
                  14,
                  16,
                  18,
                  20,
                  21,
                  22,
                  24,
                  26,
                  27,
                  28,
                  30,
                  32,
                  33,
                  34
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 6,
                "word": [
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  4,
                  6,
                  8,
                  9,
                  10,
                  12,
                  14,
                  16,
                  18,
                  19,
                  20,
                  22,
                  24,
                  25,
                  26,
                  28,
                  30,
                  31,
                  32,
                  34
                ],
                "reflected_word": [
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 7,
                "word": [
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  5,
                  7,
                  8,
                  9,
                  11,
                  13,
                  15,
                  17,
                  18,
                  19,
                  21,
                  23,
                  24,
                  25,
                  27,
                  29,
                  30,
                  31,
                  33,
                  35
                ],
                "reflected_word": [
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 8,
                "word": [
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  6,
                  7,
                  8,
                  10,
                  12,
                  14,
                  16,
                  17,
                  18,
                  20,
                  22,
                  23,
                  24,
                  26,
                  28,
                  29,
                  30,
                  32,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 9,
                "word": [
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  5,
                  6,
                  7,
                  9,
                  11,
                  13,
                  15,
                  16,
                  17,
                  19,
                  21,
                  22,
                  23,
                  25,
                  27,
                  28,
                  29,
                  31,
                  33,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 10,
                "word": [
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  4,
                  5,
                  6,
                  8,
                  10,
                  12,
                  14,
                  15,
                  16,
                  18,
                  20,
                  21,
                  22,
                  24,
                  26,
                  27,
                  28,
                  30,
                  32,
                  33,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 11,
                "word": [
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  6,
                  8,
                  10,
                  12,
                  13,
                  14,
                  16,
                  18,
                  19,
                  20,
                  22,
                  24,
                  25,
                  26,
                  28,
                  30,
                  31,
                  32,
                  33,
                  34
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 12,
                "word": [
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  6,
                  8,
                  10,
                  11,
                  12,
                  14,
                  16,
                  17,
                  18,
                  20,
                  22,
                  23,
                  24,
                  26,
                  28,
                  29,
                  30,
                  31,
                  32,
                  34
                ],
                "reflected_word": [
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 13,
                "word": [
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  5,
                  7,
                  9,
                  10,
                  11,
                  13,
                  15,
                  16,
                  17,
                  19,
                  21,
                  22,
                  23,
                  25,
                  27,
                  28,
                  29,
                  30,
                  31,
                  33,
                  35
                ],
                "reflected_word": [
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 14,
                "word": [
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  4,
                  6,
                  8,
                  9,
                  10,
                  12,
                  14,
                  15,
                  16,
                  18,
                  20,
                  21,
                  22,
                  24,
                  26,
                  27,
                  28,
                  29,
                  30,
                  32,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 15,
                "word": [
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  4,
                  6,
                  7,
                  8,
                  10,
                  12,
                  13,
                  14,
                  16,
                  18,
                  19,
                  20,
                  22,
                  24,
                  25,
                  26,
                  27,
                  28,
                  30,
                  32,
                  33,
                  34
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 16,
                "word": [
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  4,
                  5,
                  6,
                  8,
                  10,
                  11,
                  12,
                  14,
                  16,
                  17,
                  18,
                  20,
                  22,
                  23,
                  24,
                  25,
                  26,
                  28,
                  30,
                  31,
                  32,
                  34
                ],
                "reflected_word": [
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 17,
                "word": [
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  6,
                  8,
                  9,
                  10,
                  12,
                  14,
                  15,
                  16,
                  18,
                  20,
                  21,
                  22,
                  23,
                  24,
                  26,
                  28,
                  29,
                  30,
                  32,
                  34
                ],
                "reflected_word": [
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 18,
                "word": [
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  6,
                  7,
                  8,
                  10,
                  12,
                  13,
                  14,
                  16,
                  18,
                  19,
                  20,
                  21,
                  22,
                  24,
                  26,
                  27,
                  28,
                  30,
                  32,
                  34
                ],
                "reflected_word": [
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 19,
                "word": [
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  5,
                  6,
                  7,
                  9,
                  11,
                  12,
                  13,
                  15,
                  17,
                  18,
                  19,
                  20,
                  21,
                  23,
                  25,
                  26,
                  27,
                  29,
                  31,
                  33,
                  35
                ],
                "reflected_word": [
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 20,
                "word": [
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  4,
                  5,
                  6,
                  8,
                  10,
                  11,
                  12,
                  14,
                  16,
                  17,
                  18,
                  19,
                  20,
                  22,
                  24,
                  25,
                  26,
                  28,
                  30,
                  32,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 21,
                "word": [
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  6,
                  8,
                  9,
                  10,
                  12,
                  14,
                  15,
                  16,
                  17,
                  18,
                  20,
                  22,
                  23,
                  24,
                  26,
                  28,
                  30,
                  32,
                  33,
                  34
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 22,
                "word": [
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  6,
                  7,
                  8,
                  10,
                  12,
                  13,
                  14,
                  15,
                  16,
                  18,
                  20,
                  21,
                  22,
                  24,
                  26,
                  28,
                  30,
                  31,
                  32,
                  34
                ],
                "reflected_word": [
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 23,
                "word": [
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  5,
                  6,
                  7,
                  9,
                  11,
                  12,
                  13,
                  14,
                  15,
                  17,
                  19,
                  20,
                  21,
                  23,
                  25,
                  27,
                  29,
                  30,
                  31,
                  33,
                  35
                ],
                "reflected_word": [
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 24,
                "word": [
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1
                ]
              }
            ],
            "self_reflections": 0,
            "word": [
              2,
              2,
              1,
              1,
              2,
              2,
              1,
              1,
              1,
              1,
              2,
              2,
              1,
              1,
              2,
              2,
              2,
              2,
              1,
              1,
              2,
              2,
              1,
              1
            ]
          },
          "repeat": {
            "cardinality": 24,
            "closed_under_reflection": true,
            "distinct_rotations": 4,
            "external_reflections": 0,
            "mirror_pairs": 1,
            "modulus": 36,
            "rotations": [
              {
                "pitch_path": [
                  0,
                  2,
                  4,
                  5,
                  6,
                  8,
                  10,
                  11,
                  12,
                  14,
                  16,
                  17,
                  18,
                  20,
                  22,
                  23,
                  24,
                  26,
                  28,
                  29,
                  30,
                  32,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2
                ],
                "reflection_target": 3,
                "relation": "pair",
                "rotation": 1,
                "word": [
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  6,
                  8,
                  9,
                  10,
                  12,
                  14,
                  15,
                  16,
                  18,
                  20,
                  21,
                  22,
                  24,
                  26,
                  27,
                  28,
                  30,
                  32,
                  33,
                  34
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2
                ],
                "reflection_target": 2,
                "relation": "self",
                "rotation": 2,
                "word": [
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  6,
                  7,
                  8,
                  10,
                  12,
                  13,
                  14,
                  16,
                  18,
                  19,
                  20,
                  22,
                  24,
                  25,
                  26,
                  28,
                  30,
                  31,
                  32,
                  34
                ],
                "reflected_word": [
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1
                ],
                "reflection_target": 1,
                "relation": "pair",
                "rotation": 3,
                "word": [
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  5,
                  6,
                  7,
                  9,
                  11,
                  12,
                  13,
                  15,
                  17,
                  18,
                  19,
                  21,
                  23,
                  24,
                  25,
                  27,
                  29,
                  30,
                  31,
                  33,
                  35
                ],
                "reflected_word": [
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1
                ],
                "reflection_target": 4,
                "relation": "self",
                "rotation": 4,
                "word": [
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1
                ]
              }
            ],
            "self_reflections": 2,
            "word": [
              2,
              2,
              1,
              1,
              2,
              2,
              1,
              1,
              2,
              2,
              1,
              1,
              2,
              2,
              1,
              1,
              2,
              2,
              1,
              1,
              2,
              2,
              1,
              1
            ]
          },
          "rotate_lift": {
            "cardinality": 24,
            "closed_under_reflection": true,
            "distinct_rotations": 24,
            "external_reflections": 0,
            "mirror_pairs": 11,
            "modulus": 36,
            "rotations": [
              {
                "pitch_path": [
                  0,
                  2,
                  4,
                  5,
                  6,
                  8,
                  10,
                  11,
                  12,
                  14,
                  15,
                  16,
                  18,
                  20,
                  21,
                  22,
                  24,
                  25,
                  26,
                  28,
                  30,
                  31,
                  32,
                  34
                ],
                "reflected_word": [
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2
                ],
                "reflection_target": 1,
                "relation": "self",
                "rotation": 1,
                "word": [
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  6,
                  8,
                  9,
                  10,
                  12,
                  13,
                  14,
                  16,
                  18,
                  19,
                  20,
                  22,
                  23,
                  24,
                  26,
                  28,
                  29,
                  30,
                  32,
                  34
                ],
                "reflected_word": [
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2
                ],
                "reflection_target": 24,
                "relation": "pair",
                "rotation": 2,
                "word": [
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  6,
                  7,
                  8,
                  10,
                  11,
                  12,
                  14,
                  16,
                  17,
                  18,
                  20,
                  21,
                  22,
                  24,
                  26,
                  27,
                  28,
                  30,
                  32,
                  34
                ],
                "reflected_word": [
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1
                ],
                "reflection_target": 23,
                "relation": "pair",
                "rotation": 3,
                "word": [
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  5,
                  6,
                  7,
                  9,
                  10,
                  11,
                  13,
                  15,
                  16,
                  17,
                  19,
                  20,
                  21,
                  23,
                  25,
                  26,
                  27,
                  29,
                  31,
                  33,
                  35
                ],
                "reflected_word": [
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1
                ],
                "reflection_target": 22,
                "relation": "pair",
                "rotation": 4,
                "word": [
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  4,
                  5,
                  6,
                  8,
                  9,
                  10,
                  12,
                  14,
                  15,
                  16,
                  18,
                  19,
                  20,
                  22,
                  24,
                  25,
                  26,
                  28,
                  30,
                  32,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2
                ],
                "reflection_target": 21,
                "relation": "pair",
                "rotation": 5,
                "word": [
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  6,
                  7,
                  8,
                  10,
                  12,
                  13,
                  14,
                  16,
                  17,
                  18,
                  20,
                  22,
                  23,
                  24,
                  26,
                  28,
                  30,
                  32,
                  33,
                  34
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2
                ],
                "reflection_target": 20,
                "relation": "pair",
                "rotation": 6,
                "word": [
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  5,
                  6,
                  8,
                  10,
                  11,
                  12,
                  14,
                  15,
                  16,
                  18,
                  20,
                  21,
                  22,
                  24,
                  26,
                  28,
                  30,
                  31,
                  32,
                  34
                ],
                "reflected_word": [
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1
                ],
                "reflection_target": 19,
                "relation": "pair",
                "rotation": 7,
                "word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  5,
                  7,
                  9,
                  10,
                  11,
                  13,
                  14,
                  15,
                  17,
                  19,
                  20,
                  21,
                  23,
                  25,
                  27,
                  29,
                  30,
                  31,
                  33,
                  35
                ],
                "reflected_word": [
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1
                ],
                "reflection_target": 18,
                "relation": "pair",
                "rotation": 8,
                "word": [
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  6,
                  8,
                  9,
                  10,
                  12,
                  13,
                  14,
                  16,
                  18,
                  19,
                  20,
                  22,
                  24,
                  26,
                  28,
                  29,
                  30,
                  32,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2
                ],
                "reflection_target": 17,
                "relation": "pair",
                "rotation": 9,
                "word": [
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  6,
                  7,
                  8,
                  10,
                  11,
                  12,
                  14,
                  16,
                  17,
                  18,
                  20,
                  22,
                  24,
                  26,
                  27,
                  28,
                  30,
                  32,
                  33,
                  34
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1
                ],
                "reflection_target": 16,
                "relation": "pair",
                "rotation": 10,
                "word": [
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  5,
                  6,
                  7,
                  9,
                  10,
                  11,
                  13,
                  15,
                  16,
                  17,
                  19,
                  21,
                  23,
                  25,
                  26,
                  27,
                  29,
                  31,
                  32,
                  33,
                  35
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1
                ],
                "reflection_target": 15,
                "relation": "pair",
                "rotation": 11,
                "word": [
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  4,
                  5,
                  6,
                  8,
                  9,
                  10,
                  12,
                  14,
                  15,
                  16,
                  18,
                  20,
                  22,
                  24,
                  25,
                  26,
                  28,
                  30,
                  31,
                  32,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2
                ],
                "reflection_target": 14,
                "relation": "pair",
                "rotation": 12,
                "word": [
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  6,
                  7,
                  8,
                  10,
                  12,
                  13,
                  14,
                  16,
                  18,
                  20,
                  22,
                  23,
                  24,
                  26,
                  28,
                  29,
                  30,
                  32,
                  33,
                  34
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2
                ],
                "reflection_target": 13,
                "relation": "self",
                "rotation": 13,
                "word": [
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  5,
                  6,
                  8,
                  10,
                  11,
                  12,
                  14,
                  16,
                  18,
                  20,
                  21,
                  22,
                  24,
                  26,
                  27,
                  28,
                  30,
                  31,
                  32,
                  34
                ],
                "reflected_word": [
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1
                ],
                "reflection_target": 12,
                "relation": "pair",
                "rotation": 14,
                "word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  5,
                  7,
                  9,
                  10,
                  11,
                  13,
                  15,
                  17,
                  19,
                  20,
                  21,
                  23,
                  25,
                  26,
                  27,
                  29,
                  30,
                  31,
                  33,
                  35
                ],
                "reflected_word": [
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1
                ],
                "reflection_target": 11,
                "relation": "pair",
                "rotation": 15,
                "word": [
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  6,
                  8,
                  9,
                  10,
                  12,
                  14,
                  16,
                  18,
                  19,
                  20,
                  22,
                  24,
                  25,
                  26,
                  28,
                  29,
                  30,
                  32,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2
                ],
                "reflection_target": 10,
                "relation": "pair",
                "rotation": 16,
                "word": [
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  6,
                  7,
                  8,
                  10,
                  12,
                  14,
                  16,
                  17,
                  18,
                  20,
                  22,
                  23,
                  24,
                  26,
                  27,
                  28,
                  30,
                  32,
                  33,
                  34
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1
                ],
                "reflection_target": 9,
                "relation": "pair",
                "rotation": 17,
                "word": [
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  5,
                  6,
                  7,
                  9,
                  11,
                  13,
                  15,
                  16,
                  17,
                  19,
                  21,
                  22,
                  23,
                  25,
                  26,
                  27,
                  29,
                  31,
                  32,
                  33,
                  35
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1
                ],
                "reflection_target": 8,
                "relation": "pair",
                "rotation": 18,
                "word": [
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  4,
                  5,
                  6,
                  8,
                  10,
                  12,
                  14,
                  15,
                  16,
                  18,
                  20,
                  21,
                  22,
                  24,
                  25,
                  26,
                  28,
                  30,
                  31,
                  32,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2
                ],
                "reflection_target": 7,
                "relation": "pair",
                "rotation": 19,
                "word": [
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  6,
                  8,
                  10,
                  12,
                  13,
                  14,
                  16,
                  18,
                  19,
                  20,
                  22,
                  23,
                  24,
                  26,
                  28,
                  29,
                  30,
                  32,
                  33,
                  34
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2
                ],
                "reflection_target": 6,
                "relation": "pair",
                "rotation": 20,
                "word": [
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  6,
                  8,
                  10,
                  11,
                  12,
                  14,
                  16,
                  17,
                  18,
                  20,
                  21,
                  22,
                  24,
                  26,
                  27,
                  28,
                  30,
                  31,
                  32,
                  34
                ],
                "reflected_word": [
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1
                ],
                "reflection_target": 5,
                "relation": "pair",
                "rotation": 21,
                "word": [
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  5,
                  7,
                  9,
                  10,
                  11,
                  13,
                  15,
                  16,
                  17,
                  19,
                  20,
                  21,
                  23,
                  25,
                  26,
                  27,
                  29,
                  30,
                  31,
                  33,
                  35
                ],
                "reflected_word": [
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1
                ],
                "reflection_target": 4,
                "relation": "pair",
                "rotation": 22,
                "word": [
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  4,
                  6,
                  8,
                  9,
                  10,
                  12,
                  14,
                  15,
                  16,
                  18,
                  19,
                  20,
                  22,
                  24,
                  25,
                  26,
                  28,
                  29,
                  30,
                  32,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2
                ],
                "reflection_target": 3,
                "relation": "pair",
                "rotation": 23,
                "word": [
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  4,
                  6,
                  7,
                  8,
                  10,
                  12,
                  13,
                  14,
                  16,
                  17,
                  18,
                  20,
                  22,
                  23,
                  24,
                  26,
                  27,
                  28,
                  30,
                  32,
                  33,
                  34
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2
                ],
                "reflection_target": 2,
                "relation": "pair",
                "rotation": 24,
                "word": [
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2
                ]
              }
            ],
            "self_reflections": 2,
            "word": [
              2,
              2,
              1,
              1,
              2,
              2,
              1,
              1,
              2,
              1,
              1,
              2,
              2,
              1,
              1,
              2,
              1,
              1,
              2,
              2,
              1,
              1,
              2,
              2
            ]
          }
        },
        "4": {
          "mirror_lift": {
            "cardinality": 32,
            "closed_under_reflection": true,
            "distinct_rotations": 16,
            "external_reflections": 0,
            "mirror_pairs": 7,
            "modulus": 48,
            "rotations": [
              {
                "pitch_path": [
                  0,
                  2,
                  4,
                  5,
                  6,
                  8,
                  10,
                  11,
                  12,
                  13,
                  14,
                  16,
                  18,
                  19,
                  20,
                  22,
                  24,
                  26,
                  28,
                  29,
                  30,
                  32,
                  34,
                  35,
                  36,
                  37,
                  38,
                  40,
                  42,
                  43,
                  44,
                  46
                ],
                "reflected_word": [
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2
                ],
                "reflection_target": 1,
                "relation": "self",
                "rotation": 1,
                "word": [
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  6,
                  8,
                  9,
                  10,
                  11,
                  12,
                  14,
                  16,
                  17,
                  18,
                  20,
                  22,
                  24,
                  26,
                  27,
                  28,
                  30,
                  32,
                  33,
                  34,
                  35,
                  36,
                  38,
                  40,
                  41,
                  42,
                  44,
                  46
                ],
                "reflected_word": [
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2
                ],
                "reflection_target": 16,
                "relation": "pair",
                "rotation": 2,
                "word": [
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  6,
                  7,
                  8,
                  9,
                  10,
                  12,
                  14,
                  15,
                  16,
                  18,
                  20,
                  22,
                  24,
                  25,
                  26,
                  28,
                  30,
                  31,
                  32,
                  33,
                  34,
                  36,
                  38,
                  39,
                  40,
                  42,
                  44,
                  46
                ],
                "reflected_word": [
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1
                ],
                "reflection_target": 15,
                "relation": "pair",
                "rotation": 3,
                "word": [
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  5,
                  6,
                  7,
                  8,
                  9,
                  11,
                  13,
                  14,
                  15,
                  17,
                  19,
                  21,
                  23,
                  24,
                  25,
                  27,
                  29,
                  30,
                  31,
                  32,
                  33,
                  35,
                  37,
                  38,
                  39,
                  41,
                  43,
                  45,
                  47
                ],
                "reflected_word": [
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1
                ],
                "reflection_target": 14,
                "relation": "pair",
                "rotation": 4,
                "word": [
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  4,
                  5,
                  6,
                  7,
                  8,
                  10,
                  12,
                  13,
                  14,
                  16,
                  18,
                  20,
                  22,
                  23,
                  24,
                  26,
                  28,
                  29,
                  30,
                  31,
                  32,
                  34,
                  36,
                  37,
                  38,
                  40,
                  42,
                  44,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2
                ],
                "reflection_target": 13,
                "relation": "pair",
                "rotation": 5,
                "word": [
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  5,
                  6,
                  8,
                  10,
                  11,
                  12,
                  14,
                  16,
                  18,
                  20,
                  21,
                  22,
                  24,
                  26,
                  27,
                  28,
                  29,
                  30,
                  32,
                  34,
                  35,
                  36,
                  38,
                  40,
                  42,
                  44,
                  45,
                  46
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2
                ],
                "reflection_target": 12,
                "relation": "pair",
                "rotation": 6,
                "word": [
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  4,
                  6,
                  8,
                  9,
                  10,
                  12,
                  14,
                  16,
                  18,
                  19,
                  20,
                  22,
                  24,
                  25,
                  26,
                  27,
                  28,
                  30,
                  32,
                  33,
                  34,
                  36,
                  38,
                  40,
                  42,
                  43,
                  44,
                  46
                ],
                "reflected_word": [
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1
                ],
                "reflection_target": 11,
                "relation": "pair",
                "rotation": 7,
                "word": [
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  5,
                  7,
                  8,
                  9,
                  11,
                  13,
                  15,
                  17,
                  18,
                  19,
                  21,
                  23,
                  24,
                  25,
                  26,
                  27,
                  29,
                  31,
                  32,
                  33,
                  35,
                  37,
                  39,
                  41,
                  42,
                  43,
                  45,
                  47
                ],
                "reflected_word": [
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1
                ],
                "reflection_target": 10,
                "relation": "pair",
                "rotation": 8,
                "word": [
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  6,
                  7,
                  8,
                  10,
                  12,
                  14,
                  16,
                  17,
                  18,
                  20,
                  22,
                  23,
                  24,
                  25,
                  26,
                  28,
                  30,
                  31,
                  32,
                  34,
                  36,
                  38,
                  40,
                  41,
                  42,
                  44,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1
                ],
                "reflection_target": 9,
                "relation": "self",
                "rotation": 9,
                "word": [
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  5,
                  6,
                  7,
                  9,
                  11,
                  13,
                  15,
                  16,
                  17,
                  19,
                  21,
                  22,
                  23,
                  24,
                  25,
                  27,
                  29,
                  30,
                  31,
                  33,
                  35,
                  37,
                  39,
                  40,
                  41,
                  43,
                  45,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1
                ],
                "reflection_target": 8,
                "relation": "pair",
                "rotation": 10,
                "word": [
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  4,
                  5,
                  6,
                  8,
                  10,
                  12,
                  14,
                  15,
                  16,
                  18,
                  20,
                  21,
                  22,
                  23,
                  24,
                  26,
                  28,
                  29,
                  30,
                  32,
                  34,
                  36,
                  38,
                  39,
                  40,
                  42,
                  44,
                  45,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2
                ],
                "reflection_target": 7,
                "relation": "pair",
                "rotation": 11,
                "word": [
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  6,
                  8,
                  10,
                  12,
                  13,
                  14,
                  16,
                  18,
                  19,
                  20,
                  21,
                  22,
                  24,
                  26,
                  27,
                  28,
                  30,
                  32,
                  34,
                  36,
                  37,
                  38,
                  40,
                  42,
                  43,
                  44,
                  45,
                  46
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2
                ],
                "reflection_target": 6,
                "relation": "pair",
                "rotation": 12,
                "word": [
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  6,
                  8,
                  10,
                  11,
                  12,
                  14,
                  16,
                  17,
                  18,
                  19,
                  20,
                  22,
                  24,
                  25,
                  26,
                  28,
                  30,
                  32,
                  34,
                  35,
                  36,
                  38,
                  40,
                  41,
                  42,
                  43,
                  44,
                  46
                ],
                "reflected_word": [
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1
                ],
                "reflection_target": 5,
                "relation": "pair",
                "rotation": 13,
                "word": [
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  5,
                  7,
                  9,
                  10,
                  11,
                  13,
                  15,
                  16,
                  17,
                  18,
                  19,
                  21,
                  23,
                  24,
                  25,
                  27,
                  29,
                  31,
                  33,
                  34,
                  35,
                  37,
                  39,
                  40,
                  41,
                  42,
                  43,
                  45,
                  47
                ],
                "reflected_word": [
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1
                ],
                "reflection_target": 4,
                "relation": "pair",
                "rotation": 14,
                "word": [
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  4,
                  6,
                  8,
                  9,
                  10,
                  12,
                  14,
                  15,
                  16,
                  17,
                  18,
                  20,
                  22,
                  23,
                  24,
                  26,
                  28,
                  30,
                  32,
                  33,
                  34,
                  36,
                  38,
                  39,
                  40,
                  41,
                  42,
                  44,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2
                ],
                "reflection_target": 3,
                "relation": "pair",
                "rotation": 15,
                "word": [
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  4,
                  6,
                  7,
                  8,
                  10,
                  12,
                  13,
                  14,
                  15,
                  16,
                  18,
                  20,
                  21,
                  22,
                  24,
                  26,
                  28,
                  30,
                  31,
                  32,
                  34,
                  36,
                  37,
                  38,
                  39,
                  40,
                  42,
                  44,
                  45,
                  46
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2
                ],
                "reflection_target": 2,
                "relation": "pair",
                "rotation": 16,
                "word": [
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2
                ]
              }
            ],
            "self_reflections": 2,
            "word": [
              2,
              2,
              1,
              1,
              2,
              2,
              1,
              1,
              1,
              1,
              2,
              2,
              1,
              1,
              2,
              2,
              2,
              2,
              1,
              1,
              2,
              2,
              1,
              1,
              1,
              1,
              2,
              2,
              1,
              1,
              2,
              2
            ]
          },
          "repeat": {
            "cardinality": 32,
            "closed_under_reflection": true,
            "distinct_rotations": 4,
            "external_reflections": 0,
            "mirror_pairs": 1,
            "modulus": 48,
            "rotations": [
              {
                "pitch_path": [
                  0,
                  2,
                  4,
                  5,
                  6,
                  8,
                  10,
                  11,
                  12,
                  14,
                  16,
                  17,
                  18,
                  20,
                  22,
                  23,
                  24,
                  26,
                  28,
                  29,
                  30,
                  32,
                  34,
                  35,
                  36,
                  38,
                  40,
                  41,
                  42,
                  44,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2
                ],
                "reflection_target": 3,
                "relation": "pair",
                "rotation": 1,
                "word": [
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  6,
                  8,
                  9,
                  10,
                  12,
                  14,
                  15,
                  16,
                  18,
                  20,
                  21,
                  22,
                  24,
                  26,
                  27,
                  28,
                  30,
                  32,
                  33,
                  34,
                  36,
                  38,
                  39,
                  40,
                  42,
                  44,
                  45,
                  46
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2
                ],
                "reflection_target": 2,
                "relation": "self",
                "rotation": 2,
                "word": [
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  6,
                  7,
                  8,
                  10,
                  12,
                  13,
                  14,
                  16,
                  18,
                  19,
                  20,
                  22,
                  24,
                  25,
                  26,
                  28,
                  30,
                  31,
                  32,
                  34,
                  36,
                  37,
                  38,
                  40,
                  42,
                  43,
                  44,
                  46
                ],
                "reflected_word": [
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1
                ],
                "reflection_target": 1,
                "relation": "pair",
                "rotation": 3,
                "word": [
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  5,
                  6,
                  7,
                  9,
                  11,
                  12,
                  13,
                  15,
                  17,
                  18,
                  19,
                  21,
                  23,
                  24,
                  25,
                  27,
                  29,
                  30,
                  31,
                  33,
                  35,
                  36,
                  37,
                  39,
                  41,
                  42,
                  43,
                  45,
                  47
                ],
                "reflected_word": [
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1
                ],
                "reflection_target": 4,
                "relation": "self",
                "rotation": 4,
                "word": [
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1
                ]
              }
            ],
            "self_reflections": 2,
            "word": [
              2,
              2,
              1,
              1,
              2,
              2,
              1,
              1,
              2,
              2,
              1,
              1,
              2,
              2,
              1,
              1,
              2,
              2,
              1,
              1,
              2,
              2,
              1,
              1,
              2,
              2,
              1,
              1,
              2,
              2,
              1,
              1
            ]
          },
          "rotate_lift": {
            "cardinality": 32,
            "closed_under_reflection": true,
            "distinct_rotations": 32,
            "external_reflections": 0,
            "mirror_pairs": 15,
            "modulus": 48,
            "rotations": [
              {
                "pitch_path": [
                  0,
                  2,
                  4,
                  5,
                  6,
                  8,
                  10,
                  11,
                  12,
                  14,
                  15,
                  16,
                  18,
                  20,
                  21,
                  22,
                  24,
                  25,
                  26,
                  28,
                  30,
                  31,
                  32,
                  34,
                  36,
                  37,
                  39,
                  41,
                  42,
                  43,
                  45,
                  47
                ],
                "reflected_word": [
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2
                ],
                "reflection_target": 25,
                "relation": "pair",
                "rotation": 1,
                "word": [
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  6,
                  8,
                  9,
                  10,
                  12,
                  13,
                  14,
                  16,
                  18,
                  19,
                  20,
                  22,
                  23,
                  24,
                  26,
                  28,
                  29,
                  30,
                  32,
                  34,
                  35,
                  37,
                  39,
                  40,
                  41,
                  43,
                  45,
                  46
                ],
                "reflected_word": [
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2
                ],
                "reflection_target": 24,
                "relation": "pair",
                "rotation": 2,
                "word": [
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  6,
                  7,
                  8,
                  10,
                  11,
                  12,
                  14,
                  16,
                  17,
                  18,
                  20,
                  21,
                  22,
                  24,
                  26,
                  27,
                  28,
                  30,
                  32,
                  33,
                  35,
                  37,
                  38,
                  39,
                  41,
                  43,
                  44,
                  46
                ],
                "reflected_word": [
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1
                ],
                "reflection_target": 23,
                "relation": "pair",
                "rotation": 3,
                "word": [
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  5,
                  6,
                  7,
                  9,
                  10,
                  11,
                  13,
                  15,
                  16,
                  17,
                  19,
                  20,
                  21,
                  23,
                  25,
                  26,
                  27,
                  29,
                  31,
                  32,
                  34,
                  36,
                  37,
                  38,
                  40,
                  42,
                  43,
                  45,
                  47
                ],
                "reflected_word": [
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1
                ],
                "reflection_target": 22,
                "relation": "pair",
                "rotation": 4,
                "word": [
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  4,
                  5,
                  6,
                  8,
                  9,
                  10,
                  12,
                  14,
                  15,
                  16,
                  18,
                  19,
                  20,
                  22,
                  24,
                  25,
                  26,
                  28,
                  30,
                  31,
                  33,
                  35,
                  36,
                  37,
                  39,
                  41,
                  42,
                  44,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2
                ],
                "reflection_target": 21,
                "relation": "pair",
                "rotation": 5,
                "word": [
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  6,
                  7,
                  8,
                  10,
                  12,
                  13,
                  14,
                  16,
                  17,
                  18,
                  20,
                  22,
                  23,
                  24,
                  26,
                  28,
                  29,
                  31,
                  33,
                  34,
                  35,
                  37,
                  39,
                  40,
                  42,
                  44,
                  45,
                  46
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2
                ],
                "reflection_target": 20,
                "relation": "pair",
                "rotation": 6,
                "word": [
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  5,
                  6,
                  8,
                  10,
                  11,
                  12,
                  14,
                  15,
                  16,
                  18,
                  20,
                  21,
                  22,
                  24,
                  26,
                  27,
                  29,
                  31,
                  32,
                  33,
                  35,
                  37,
                  38,
                  40,
                  42,
                  43,
                  44,
                  46
                ],
                "reflected_word": [
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1
                ],
                "reflection_target": 19,
                "relation": "pair",
                "rotation": 7,
                "word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  5,
                  7,
                  9,
                  10,
                  11,
                  13,
                  14,
                  15,
                  17,
                  19,
                  20,
                  21,
                  23,
                  25,
                  26,
                  28,
                  30,
                  31,
                  32,
                  34,
                  36,
                  37,
                  39,
                  41,
                  42,
                  43,
                  45,
                  47
                ],
                "reflected_word": [
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1
                ],
                "reflection_target": 18,
                "relation": "pair",
                "rotation": 8,
                "word": [
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  6,
                  8,
                  9,
                  10,
                  12,
                  13,
                  14,
                  16,
                  18,
                  19,
                  20,
                  22,
                  24,
                  25,
                  27,
                  29,
                  30,
                  31,
                  33,
                  35,
                  36,
                  38,
                  40,
                  41,
                  42,
                  44,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2
                ],
                "reflection_target": 17,
                "relation": "pair",
                "rotation": 9,
                "word": [
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  6,
                  7,
                  8,
                  10,
                  11,
                  12,
                  14,
                  16,
                  17,
                  18,
                  20,
                  22,
                  23,
                  25,
                  27,
                  28,
                  29,
                  31,
                  33,
                  34,
                  36,
                  38,
                  39,
                  40,
                  42,
                  44,
                  45,
                  46
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1
                ],
                "reflection_target": 16,
                "relation": "pair",
                "rotation": 10,
                "word": [
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  5,
                  6,
                  7,
                  9,
                  10,
                  11,
                  13,
                  15,
                  16,
                  17,
                  19,
                  21,
                  22,
                  24,
                  26,
                  27,
                  28,
                  30,
                  32,
                  33,
                  35,
                  37,
                  38,
                  39,
                  41,
                  43,
                  44,
                  45,
                  47
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1
                ],
                "reflection_target": 15,
                "relation": "pair",
                "rotation": 11,
                "word": [
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  4,
                  5,
                  6,
                  8,
                  9,
                  10,
                  12,
                  14,
                  15,
                  16,
                  18,
                  20,
                  21,
                  23,
                  25,
                  26,
                  27,
                  29,
                  31,
                  32,
                  34,
                  36,
                  37,
                  38,
                  40,
                  42,
                  43,
                  44,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2
                ],
                "reflection_target": 14,
                "relation": "pair",
                "rotation": 12,
                "word": [
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  6,
                  7,
                  8,
                  10,
                  12,
                  13,
                  14,
                  16,
                  18,
                  19,
                  21,
                  23,
                  24,
                  25,
                  27,
                  29,
                  30,
                  32,
                  34,
                  35,
                  36,
                  38,
                  40,
                  41,
                  42,
                  44,
                  45,
                  46
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2
                ],
                "reflection_target": 13,
                "relation": "self",
                "rotation": 13,
                "word": [
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  5,
                  6,
                  8,
                  10,
                  11,
                  12,
                  14,
                  16,
                  17,
                  19,
                  21,
                  22,
                  23,
                  25,
                  27,
                  28,
                  30,
                  32,
                  33,
                  34,
                  36,
                  38,
                  39,
                  40,
                  42,
                  43,
                  44,
                  46
                ],
                "reflected_word": [
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1
                ],
                "reflection_target": 12,
                "relation": "pair",
                "rotation": 14,
                "word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  5,
                  7,
                  9,
                  10,
                  11,
                  13,
                  15,
                  16,
                  18,
                  20,
                  21,
                  22,
                  24,
                  26,
                  27,
                  29,
                  31,
                  32,
                  33,
                  35,
                  37,
                  38,
                  39,
                  41,
                  42,
                  43,
                  45,
                  47
                ],
                "reflected_word": [
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1
                ],
                "reflection_target": 11,
                "relation": "pair",
                "rotation": 15,
                "word": [
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  6,
                  8,
                  9,
                  10,
                  12,
                  14,
                  15,
                  17,
                  19,
                  20,
                  21,
                  23,
                  25,
                  26,
                  28,
                  30,
                  31,
                  32,
                  34,
                  36,
                  37,
                  38,
                  40,
                  41,
                  42,
                  44,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2
                ],
                "reflection_target": 10,
                "relation": "pair",
                "rotation": 16,
                "word": [
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  6,
                  7,
                  8,
                  10,
                  12,
                  13,
                  15,
                  17,
                  18,
                  19,
                  21,
                  23,
                  24,
                  26,
                  28,
                  29,
                  30,
                  32,
                  34,
                  35,
                  36,
                  38,
                  39,
                  40,
                  42,
                  44,
                  45,
                  46
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1
                ],
                "reflection_target": 9,
                "relation": "pair",
                "rotation": 17,
                "word": [
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  5,
                  6,
                  7,
                  9,
                  11,
                  12,
                  14,
                  16,
                  17,
                  18,
                  20,
                  22,
                  23,
                  25,
                  27,
                  28,
                  29,
                  31,
                  33,
                  34,
                  35,
                  37,
                  38,
                  39,
                  41,
                  43,
                  44,
                  45,
                  47
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1
                ],
                "reflection_target": 8,
                "relation": "pair",
                "rotation": 18,
                "word": [
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  4,
                  5,
                  6,
                  8,
                  10,
                  11,
                  13,
                  15,
                  16,
                  17,
                  19,
                  21,
                  22,
                  24,
                  26,
                  27,
                  28,
                  30,
                  32,
                  33,
                  34,
                  36,
                  37,
                  38,
                  40,
                  42,
                  43,
                  44,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2
                ],
                "reflection_target": 7,
                "relation": "pair",
                "rotation": 19,
                "word": [
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  6,
                  8,
                  9,
                  11,
                  13,
                  14,
                  15,
                  17,
                  19,
                  20,
                  22,
                  24,
                  25,
                  26,
                  28,
                  30,
                  31,
                  32,
                  34,
                  35,
                  36,
                  38,
                  40,
                  41,
                  42,
                  44,
                  45,
                  46
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2
                ],
                "reflection_target": 6,
                "relation": "pair",
                "rotation": 20,
                "word": [
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  6,
                  7,
                  9,
                  11,
                  12,
                  13,
                  15,
                  17,
                  18,
                  20,
                  22,
                  23,
                  24,
                  26,
                  28,
                  29,
                  30,
                  32,
                  33,
                  34,
                  36,
                  38,
                  39,
                  40,
                  42,
                  43,
                  44,
                  46
                ],
                "reflected_word": [
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1
                ],
                "reflection_target": 5,
                "relation": "pair",
                "rotation": 21,
                "word": [
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  5,
                  6,
                  8,
                  10,
                  11,
                  12,
                  14,
                  16,
                  17,
                  19,
                  21,
                  22,
                  23,
                  25,
                  27,
                  28,
                  29,
                  31,
                  32,
                  33,
                  35,
                  37,
                  38,
                  39,
                  41,
                  42,
                  43,
                  45,
                  47
                ],
                "reflected_word": [
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1
                ],
                "reflection_target": 4,
                "relation": "pair",
                "rotation": 22,
                "word": [
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  4,
                  5,
                  7,
                  9,
                  10,
                  11,
                  13,
                  15,
                  16,
                  18,
                  20,
                  21,
                  22,
                  24,
                  26,
                  27,
                  28,
                  30,
                  31,
                  32,
                  34,
                  36,
                  37,
                  38,
                  40,
                  41,
                  42,
                  44,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2
                ],
                "reflection_target": 3,
                "relation": "pair",
                "rotation": 23,
                "word": [
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  5,
                  7,
                  8,
                  9,
                  11,
                  13,
                  14,
                  16,
                  18,
                  19,
                  20,
                  22,
                  24,
                  25,
                  26,
                  28,
                  29,
                  30,
                  32,
                  34,
                  35,
                  36,
                  38,
                  39,
                  40,
                  42,
                  44,
                  45,
                  46
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2
                ],
                "reflection_target": 2,
                "relation": "pair",
                "rotation": 24,
                "word": [
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  5,
                  6,
                  7,
                  9,
                  11,
                  12,
                  14,
                  16,
                  17,
                  18,
                  20,
                  22,
                  23,
                  24,
                  26,
                  27,
                  28,
                  30,
                  32,
                  33,
                  34,
                  36,
                  37,
                  38,
                  40,
                  42,
                  43,
                  44,
                  46
                ],
                "reflected_word": [
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1
                ],
                "reflection_target": 1,
                "relation": "pair",
                "rotation": 25,
                "word": [
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  4,
                  5,
                  6,
                  8,
                  10,
                  11,
                  13,
                  15,
                  16,
                  17,
                  19,
                  21,
                  22,
                  23,
                  25,
                  26,
                  27,
                  29,
                  31,
                  32,
                  33,
                  35,
                  36,
                  37,
                  39,
                  41,
                  42,
                  43,
                  45,
                  47
                ],
                "reflected_word": [
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2
                ],
                "reflection_target": 32,
                "relation": "pair",
                "rotation": 26,
                "word": [
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  6,
                  8,
                  9,
                  11,
                  13,
                  14,
                  15,
                  17,
                  19,
                  20,
                  21,
                  23,
                  24,
                  25,
                  27,
                  29,
                  30,
                  31,
                  33,
                  34,
                  35,
                  37,
                  39,
                  40,
                  41,
                  43,
                  45,
                  46
                ],
                "reflected_word": [
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2
                ],
                "reflection_target": 31,
                "relation": "pair",
                "rotation": 27,
                "word": [
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  6,
                  7,
                  9,
                  11,
                  12,
                  13,
                  15,
                  17,
                  18,
                  19,
                  21,
                  22,
                  23,
                  25,
                  27,
                  28,
                  29,
                  31,
                  32,
                  33,
                  35,
                  37,
                  38,
                  39,
                  41,
                  43,
                  44,
                  46
                ],
                "reflected_word": [
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1
                ],
                "reflection_target": 30,
                "relation": "pair",
                "rotation": 28,
                "word": [
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  5,
                  6,
                  8,
                  10,
                  11,
                  12,
                  14,
                  16,
                  17,
                  18,
                  20,
                  21,
                  22,
                  24,
                  26,
                  27,
                  28,
                  30,
                  31,
                  32,
                  34,
                  36,
                  37,
                  38,
                  40,
                  42,
                  43,
                  45,
                  47
                ],
                "reflected_word": [
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1
                ],
                "reflection_target": 29,
                "relation": "self",
                "rotation": 29,
                "word": [
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  4,
                  5,
                  7,
                  9,
                  10,
                  11,
                  13,
                  15,
                  16,
                  17,
                  19,
                  20,
                  21,
                  23,
                  25,
                  26,
                  27,
                  29,
                  30,
                  31,
                  33,
                  35,
                  36,
                  37,
                  39,
                  41,
                  42,
                  44,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2
                ],
                "reflection_target": 28,
                "relation": "pair",
                "rotation": 30,
                "word": [
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  5,
                  7,
                  8,
                  9,
                  11,
                  13,
                  14,
                  15,
                  17,
                  18,
                  19,
                  21,
                  23,
                  24,
                  25,
                  27,
                  28,
                  29,
                  31,
                  33,
                  34,
                  35,
                  37,
                  39,
                  40,
                  42,
                  44,
                  45,
                  46
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2
                ],
                "reflection_target": 27,
                "relation": "pair",
                "rotation": 31,
                "word": [
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  5,
                  6,
                  7,
                  9,
                  11,
                  12,
                  13,
                  15,
                  16,
                  17,
                  19,
                  21,
                  22,
                  23,
                  25,
                  26,
                  27,
                  29,
                  31,
                  32,
                  33,
                  35,
                  37,
                  38,
                  40,
                  42,
                  43,
                  44,
                  46
                ],
                "reflected_word": [
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1
                ],
                "reflection_target": 26,
                "relation": "pair",
                "rotation": 32,
                "word": [
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2,
                  1,
                  2,
                  2,
                  1,
                  1,
                  2,
                  2
                ]
              }
            ],
            "self_reflections": 2,
            "word": [
              2,
              2,
              1,
              1,
              2,
              2,
              1,
              1,
              2,
              1,
              1,
              2,
              2,
              1,
              1,
              2,
              1,
              1,
              2,
              2,
              1,
              1,
              2,
              2,
              1,
              2,
              2,
              1,
              1,
              2,
              2,
              1
            ]
          }
        }
      }
    },
    "m7": {
      "base": {
        "cardinality": 10,
        "closed_under_reflection": true,
        "distinct_rotations": 5,
        "external_reflections": 0,
        "mirror_pairs": 2,
        "modulus": 12,
        "rotations": [
          {
            "pitch_path": [
              0,
              1,
              2,
              3,
              5,
              6,
              7,
              8,
              9,
              11
            ],
            "reflected_word": [
              1,
              2,
              1,
              1,
              1,
              1,
              2,
              1,
              1,
              1
            ],
            "reflection_target": 3,
            "relation": "pair",
            "rotation": 1,
            "word": [
              1,
              1,
              1,
              2,
              1,
              1,
              1,
              1,
              2,
              1
            ]
          },
          {
            "pitch_path": [
              0,
              1,
              2,
              4,
              5,
              6,
              7,
              8,
              10,
              11
            ],
            "reflected_word": [
              1,
              1,
              2,
              1,
              1,
              1,
              1,
              2,
              1,
              1
            ],
            "reflection_target": 2,
            "relation": "self",
            "rotation": 2,
            "word": [
              1,
              1,
              2,
              1,
              1,
              1,
              1,
              2,
              1,
              1
            ]
          },
          {
            "pitch_path": [
              0,
              1,
              3,
              4,
              5,
              6,
              7,
              9,
              10,
              11
            ],
            "reflected_word": [
              1,
              1,
              1,
              2,
              1,
              1,
              1,
              1,
              2,
              1
            ],
            "reflection_target": 1,
            "relation": "pair",
            "rotation": 3,
            "word": [
              1,
              2,
              1,
              1,
              1,
              1,
              2,
              1,
              1,
              1
            ]
          },
          {
            "pitch_path": [
              0,
              2,
              3,
              4,
              5,
              6,
              8,
              9,
              10,
              11
            ],
            "reflected_word": [
              1,
              1,
              1,
              1,
              2,
              1,
              1,
              1,
              1,
              2
            ],
            "reflection_target": 5,
            "relation": "pair",
            "rotation": 4,
            "word": [
              2,
              1,
              1,
              1,
              1,
              2,
              1,
              1,
              1,
              1
            ]
          },
          {
            "pitch_path": [
              0,
              1,
              2,
              3,
              4,
              6,
              7,
              8,
              9,
              10
            ],
            "reflected_word": [
              2,
              1,
              1,
              1,
              1,
              2,
              1,
              1,
              1,
              1
            ],
            "reflection_target": 4,
            "relation": "pair",
            "rotation": 5,
            "word": [
              1,
              1,
              1,
              1,
              2,
              1,
              1,
              1,
              1,
              2
            ]
          }
        ],
        "self_reflections": 1,
        "word": [
          1,
          1,
          1,
          2,
          1,
          1,
          1,
          1,
          2,
          1
        ]
      },
      "lifts": {
        "2": {
          "mirror_lift": {
            "cardinality": 20,
            "closed_under_reflection": true,
            "distinct_rotations": 20,
            "external_reflections": 0,
            "mirror_pairs": 9,
            "modulus": 24,
            "rotations": [
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  5,
                  6,
                  7,
                  8,
                  9,
                  11,
                  12,
                  13,
                  15,
                  16,
                  17,
                  18,
                  19,
                  21,
                  22,
                  23
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1
                ],
                "reflection_target": 1,
                "relation": "self",
                "rotation": 1,
                "word": [
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  5,
                  6,
                  7,
                  8,
                  10,
                  11,
                  12,
                  14,
                  15,
                  16,
                  17,
                  18,
                  20,
                  21,
                  22,
                  23
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1
                ],
                "reflection_target": 20,
                "relation": "pair",
                "rotation": 2,
                "word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  5,
                  6,
                  7,
                  9,
                  10,
                  11,
                  13,
                  14,
                  15,
                  16,
                  17,
                  19,
                  20,
                  21,
                  22,
                  23
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1
                ],
                "reflection_target": 19,
                "relation": "pair",
                "rotation": 3,
                "word": [
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  5,
                  6,
                  8,
                  9,
                  10,
                  12,
                  13,
                  14,
                  15,
                  16,
                  18,
                  19,
                  20,
                  21,
                  22,
                  23
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2
                ],
                "reflection_target": 18,
                "relation": "pair",
                "rotation": 4,
                "word": [
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  4,
                  6,
                  7,
                  8,
                  10,
                  11,
                  12,
                  13,
                  14,
                  16,
                  17,
                  18,
                  19,
                  20,
                  21,
                  22
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1
                ],
                "reflection_target": 17,
                "relation": "pair",
                "rotation": 5,
                "word": [
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  5,
                  6,
                  7,
                  9,
                  10,
                  11,
                  12,
                  13,
                  15,
                  16,
                  17,
                  18,
                  19,
                  20,
                  21,
                  23
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1
                ],
                "reflection_target": 16,
                "relation": "pair",
                "rotation": 6,
                "word": [
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  5,
                  6,
                  8,
                  9,
                  10,
                  11,
                  12,
                  14,
                  15,
                  16,
                  17,
                  18,
                  19,
                  20,
                  22,
                  23
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1
                ],
                "reflection_target": 15,
                "relation": "pair",
                "rotation": 7,
                "word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  5,
                  7,
                  8,
                  9,
                  10,
                  11,
                  13,
                  14,
                  15,
                  16,
                  17,
                  18,
                  19,
                  21,
                  22,
                  23
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1
                ],
                "reflection_target": 14,
                "relation": "pair",
                "rotation": 8,
                "word": [
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  6,
                  7,
                  8,
                  9,
                  10,
                  12,
                  13,
                  14,
                  15,
                  16,
                  17,
                  18,
                  20,
                  21,
                  22,
                  23
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2
                ],
                "reflection_target": 13,
                "relation": "pair",
                "rotation": 9,
                "word": [
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  5,
                  6,
                  7,
                  8,
                  10,
                  11,
                  12,
                  13,
                  14,
                  15,
                  16,
                  18,
                  19,
                  20,
                  21,
                  22
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1
                ],
                "reflection_target": 12,
                "relation": "pair",
                "rotation": 10,
                "word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  5,
                  6,
                  7,
                  9,
                  10,
                  11,
                  12,
                  13,
                  14,
                  15,
                  17,
                  18,
                  19,
                  20,
                  21,
                  23
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1
                ],
                "reflection_target": 11,
                "relation": "self",
                "rotation": 11,
                "word": [
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  5,
                  6,
                  8,
                  9,
                  10,
                  11,
                  12,
                  13,
                  14,
                  16,
                  17,
                  18,
                  19,
                  20,
                  22,
                  23
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2
                ],
                "reflection_target": 10,
                "relation": "pair",
                "rotation": 12,
                "word": [
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  4,
                  6,
                  7,
                  8,
                  9,
                  10,
                  11,
                  12,
                  14,
                  15,
                  16,
                  17,
                  18,
                  20,
                  21,
                  22
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1
                ],
                "reflection_target": 9,
                "relation": "pair",
                "rotation": 13,
                "word": [
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  5,
                  6,
                  7,
                  8,
                  9,
                  10,
                  11,
                  13,
                  14,
                  15,
                  16,
                  17,
                  19,
                  20,
                  21,
                  23
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1
                ],
                "reflection_target": 8,
                "relation": "pair",
                "rotation": 14,
                "word": [
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  5,
                  6,
                  7,
                  8,
                  9,
                  10,
                  12,
                  13,
                  14,
                  15,
                  16,
                  18,
                  19,
                  20,
                  22,
                  23
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1
                ],
                "reflection_target": 7,
                "relation": "pair",
                "rotation": 15,
                "word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  5,
                  6,
                  7,
                  8,
                  9,
                  11,
                  12,
                  13,
                  14,
                  15,
                  17,
                  18,
                  19,
                  21,
                  22,
                  23
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1
                ],
                "reflection_target": 6,
                "relation": "pair",
                "rotation": 16,
                "word": [
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  5,
                  6,
                  7,
                  8,
                  10,
                  11,
                  12,
                  13,
                  14,
                  16,
                  17,
                  18,
                  20,
                  21,
                  22,
                  23
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2
                ],
                "reflection_target": 5,
                "relation": "pair",
                "rotation": 17,
                "word": [
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  4,
                  5,
                  6,
                  8,
                  9,
                  10,
                  11,
                  12,
                  14,
                  15,
                  16,
                  18,
                  19,
                  20,
                  21,
                  22
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1
                ],
                "reflection_target": 4,
                "relation": "pair",
                "rotation": 18,
                "word": [
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  4,
                  5,
                  7,
                  8,
                  9,
                  10,
                  11,
                  13,
                  14,
                  15,
                  17,
                  18,
                  19,
                  20,
                  21,
                  23
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1
                ],
                "reflection_target": 3,
                "relation": "pair",
                "rotation": 19,
                "word": [
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  4,
                  6,
                  7,
                  8,
                  9,
                  10,
                  12,
                  13,
                  14,
                  16,
                  17,
                  18,
                  19,
                  20,
                  22,
                  23
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1
                ],
                "reflection_target": 2,
                "relation": "pair",
                "rotation": 20,
                "word": [
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1
                ]
              }
            ],
            "self_reflections": 2,
            "word": [
              1,
              1,
              1,
              2,
              1,
              1,
              1,
              1,
              2,
              1,
              1,
              2,
              1,
              1,
              1,
              1,
              2,
              1,
              1,
              1
            ]
          },
          "repeat": {
            "cardinality": 20,
            "closed_under_reflection": true,
            "distinct_rotations": 5,
            "external_reflections": 0,
            "mirror_pairs": 2,
            "modulus": 24,
            "rotations": [
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  5,
                  6,
                  7,
                  8,
                  9,
                  11,
                  12,
                  13,
                  14,
                  15,
                  17,
                  18,
                  19,
                  20,
                  21,
                  23
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1
                ],
                "reflection_target": 3,
                "relation": "pair",
                "rotation": 1,
                "word": [
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  5,
                  6,
                  7,
                  8,
                  10,
                  11,
                  12,
                  13,
                  14,
                  16,
                  17,
                  18,
                  19,
                  20,
                  22,
                  23
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1
                ],
                "reflection_target": 2,
                "relation": "self",
                "rotation": 2,
                "word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  5,
                  6,
                  7,
                  9,
                  10,
                  11,
                  12,
                  13,
                  15,
                  16,
                  17,
                  18,
                  19,
                  21,
                  22,
                  23
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1
                ],
                "reflection_target": 1,
                "relation": "pair",
                "rotation": 3,
                "word": [
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  5,
                  6,
                  8,
                  9,
                  10,
                  11,
                  12,
                  14,
                  15,
                  16,
                  17,
                  18,
                  20,
                  21,
                  22,
                  23
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2
                ],
                "reflection_target": 5,
                "relation": "pair",
                "rotation": 4,
                "word": [
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  4,
                  6,
                  7,
                  8,
                  9,
                  10,
                  12,
                  13,
                  14,
                  15,
                  16,
                  18,
                  19,
                  20,
                  21,
                  22
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1
                ],
                "reflection_target": 4,
                "relation": "pair",
                "rotation": 5,
                "word": [
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2
                ]
              }
            ],
            "self_reflections": 1,
            "word": [
              1,
              1,
              1,
              2,
              1,
              1,
              1,
              1,
              2,
              1,
              1,
              1,
              1,
              2,
              1,
              1,
              1,
              1,
              2,
              1
            ]
          },
          "rotate_lift": {
            "cardinality": 20,
            "closed_under_reflection": true,
            "distinct_rotations": 20,
            "external_reflections": 0,
            "mirror_pairs": 10,
            "modulus": 24,
            "rotations": [
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  5,
                  6,
                  7,
                  8,
                  9,
                  11,
                  12,
                  13,
                  14,
                  16,
                  17,
                  18,
                  19,
                  20,
                  22,
                  23
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1
                ],
                "reflection_target": 2,
                "relation": "pair",
                "rotation": 1,
                "word": [
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  5,
                  6,
                  7,
                  8,
                  10,
                  11,
                  12,
                  13,
                  15,
                  16,
                  17,
                  18,
                  19,
                  21,
                  22,
                  23
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1
                ],
                "reflection_target": 1,
                "relation": "pair",
                "rotation": 2,
                "word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  5,
                  6,
                  7,
                  9,
                  10,
                  11,
                  12,
                  14,
                  15,
                  16,
                  17,
                  18,
                  20,
                  21,
                  22,
                  23
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1
                ],
                "reflection_target": 20,
                "relation": "pair",
                "rotation": 3,
                "word": [
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  5,
                  6,
                  8,
                  9,
                  10,
                  11,
                  13,
                  14,
                  15,
                  16,
                  17,
                  19,
                  20,
                  21,
                  22,
                  23
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2
                ],
                "reflection_target": 19,
                "relation": "pair",
                "rotation": 4,
                "word": [
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  4,
                  6,
                  7,
                  8,
                  9,
                  11,
                  12,
                  13,
                  14,
                  15,
                  17,
                  18,
                  19,
                  20,
                  21,
                  22
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1
                ],
                "reflection_target": 18,
                "relation": "pair",
                "rotation": 5,
                "word": [
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  5,
                  6,
                  7,
                  8,
                  10,
                  11,
                  12,
                  13,
                  14,
                  16,
                  17,
                  18,
                  19,
                  20,
                  21,
                  23
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1
                ],
                "reflection_target": 17,
                "relation": "pair",
                "rotation": 6,
                "word": [
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  5,
                  6,
                  7,
                  9,
                  10,
                  11,
                  12,
                  13,
                  15,
                  16,
                  17,
                  18,
                  19,
                  20,
                  22,
                  23
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1
                ],
                "reflection_target": 16,
                "relation": "pair",
                "rotation": 7,
                "word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  5,
                  6,
                  8,
                  9,
                  10,
                  11,
                  12,
                  14,
                  15,
                  16,
                  17,
                  18,
                  19,
                  21,
                  22,
                  23
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1
                ],
                "reflection_target": 15,
                "relation": "pair",
                "rotation": 8,
                "word": [
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  5,
                  7,
                  8,
                  9,
                  10,
                  11,
                  13,
                  14,
                  15,
                  16,
                  17,
                  18,
                  20,
                  21,
                  22,
                  23
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2
                ],
                "reflection_target": 14,
                "relation": "pair",
                "rotation": 9,
                "word": [
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  5,
                  6,
                  7,
                  8,
                  9,
                  11,
                  12,
                  13,
                  14,
                  15,
                  16,
                  18,
                  19,
                  20,
                  21,
                  22
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1
                ],
                "reflection_target": 13,
                "relation": "pair",
                "rotation": 10,
                "word": [
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  5,
                  6,
                  7,
                  8,
                  10,
                  11,
                  12,
                  13,
                  14,
                  15,
                  17,
                  18,
                  19,
                  20,
                  21,
                  23
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1
                ],
                "reflection_target": 12,
                "relation": "pair",
                "rotation": 11,
                "word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  5,
                  6,
                  7,
                  9,
                  10,
                  11,
                  12,
                  13,
                  14,
                  16,
                  17,
                  18,
                  19,
                  20,
                  22,
                  23
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1
                ],
                "reflection_target": 11,
                "relation": "pair",
                "rotation": 12,
                "word": [
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  5,
                  6,
                  8,
                  9,
                  10,
                  11,
                  12,
                  13,
                  15,
                  16,
                  17,
                  18,
                  19,
                  21,
                  22,
                  23
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2
                ],
                "reflection_target": 10,
                "relation": "pair",
                "rotation": 13,
                "word": [
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  4,
                  6,
                  7,
                  8,
                  9,
                  10,
                  11,
                  13,
                  14,
                  15,
                  16,
                  17,
                  19,
                  20,
                  21,
                  22
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1
                ],
                "reflection_target": 9,
                "relation": "pair",
                "rotation": 14,
                "word": [
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  5,
                  6,
                  7,
                  8,
                  9,
                  10,
                  12,
                  13,
                  14,
                  15,
                  16,
                  18,
                  19,
                  20,
                  21,
                  23
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1
                ],
                "reflection_target": 8,
                "relation": "pair",
                "rotation": 15,
                "word": [
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  5,
                  6,
                  7,
                  8,
                  9,
                  11,
                  12,
                  13,
                  14,
                  15,
                  17,
                  18,
                  19,
                  20,
                  22,
                  23
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1
                ],
                "reflection_target": 7,
                "relation": "pair",
                "rotation": 16,
                "word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  5,
                  6,
                  7,
                  8,
                  10,
                  11,
                  12,
                  13,
                  14,
                  16,
                  17,
                  18,
                  19,
                  21,
                  22,
                  23
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1
                ],
                "reflection_target": 6,
                "relation": "pair",
                "rotation": 17,
                "word": [
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  5,
                  6,
                  7,
                  9,
                  10,
                  11,
                  12,
                  13,
                  15,
                  16,
                  17,
                  18,
                  20,
                  21,
                  22,
                  23
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2
                ],
                "reflection_target": 5,
                "relation": "pair",
                "rotation": 18,
                "word": [
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  4,
                  5,
                  7,
                  8,
                  9,
                  10,
                  11,
                  13,
                  14,
                  15,
                  16,
                  18,
                  19,
                  20,
                  21,
                  22
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1
                ],
                "reflection_target": 4,
                "relation": "pair",
                "rotation": 19,
                "word": [
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  4,
                  6,
                  7,
                  8,
                  9,
                  10,
                  12,
                  13,
                  14,
                  15,
                  17,
                  18,
                  19,
                  20,
                  21,
                  23
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1
                ],
                "reflection_target": 3,
                "relation": "pair",
                "rotation": 20,
                "word": [
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1
                ]
              }
            ],
            "self_reflections": 0,
            "word": [
              1,
              1,
              1,
              2,
              1,
              1,
              1,
              1,
              2,
              1,
              1,
              1,
              2,
              1,
              1,
              1,
              1,
              2,
              1,
              1
            ]
          }
        },
        "3": {
          "mirror_lift": {
            "cardinality": 30,
            "closed_under_reflection": false,
            "distinct_rotations": 30,
            "external_reflections": 30,
            "mirror_pairs": 0,
            "modulus": 36,
            "rotations": [
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  5,
                  6,
                  7,
                  8,
                  9,
                  11,
                  12,
                  13,
                  15,
                  16,
                  17,
                  18,
                  19,
                  21,
                  22,
                  23,
                  24,
                  25,
                  26,
                  27,
                  29,
                  30,
                  31,
                  32,
                  33,
                  35
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 1,
                "word": [
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  5,
                  6,
                  7,
                  8,
                  10,
                  11,
                  12,
                  14,
                  15,
                  16,
                  17,
                  18,
                  20,
                  21,
                  22,
                  23,
                  24,
                  25,
                  26,
                  28,
                  29,
                  30,
                  31,
                  32,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 2,
                "word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  5,
                  6,
                  7,
                  9,
                  10,
                  11,
                  13,
                  14,
                  15,
                  16,
                  17,
                  19,
                  20,
                  21,
                  22,
                  23,
                  24,
                  25,
                  27,
                  28,
                  29,
                  30,
                  31,
                  33,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 3,
                "word": [
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  5,
                  6,
                  8,
                  9,
                  10,
                  12,
                  13,
                  14,
                  15,
                  16,
                  18,
                  19,
                  20,
                  21,
                  22,
                  23,
                  24,
                  26,
                  27,
                  28,
                  29,
                  30,
                  32,
                  33,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 4,
                "word": [
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  4,
                  6,
                  7,
                  8,
                  10,
                  11,
                  12,
                  13,
                  14,
                  16,
                  17,
                  18,
                  19,
                  20,
                  21,
                  22,
                  24,
                  25,
                  26,
                  27,
                  28,
                  30,
                  31,
                  32,
                  33,
                  34
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 5,
                "word": [
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  5,
                  6,
                  7,
                  9,
                  10,
                  11,
                  12,
                  13,
                  15,
                  16,
                  17,
                  18,
                  19,
                  20,
                  21,
                  23,
                  24,
                  25,
                  26,
                  27,
                  29,
                  30,
                  31,
                  32,
                  33,
                  35
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 6,
                "word": [
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  5,
                  6,
                  8,
                  9,
                  10,
                  11,
                  12,
                  14,
                  15,
                  16,
                  17,
                  18,
                  19,
                  20,
                  22,
                  23,
                  24,
                  25,
                  26,
                  28,
                  29,
                  30,
                  31,
                  32,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 7,
                "word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  5,
                  7,
                  8,
                  9,
                  10,
                  11,
                  13,
                  14,
                  15,
                  16,
                  17,
                  18,
                  19,
                  21,
                  22,
                  23,
                  24,
                  25,
                  27,
                  28,
                  29,
                  30,
                  31,
                  33,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 8,
                "word": [
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  6,
                  7,
                  8,
                  9,
                  10,
                  12,
                  13,
                  14,
                  15,
                  16,
                  17,
                  18,
                  20,
                  21,
                  22,
                  23,
                  24,
                  26,
                  27,
                  28,
                  29,
                  30,
                  32,
                  33,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 9,
                "word": [
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  5,
                  6,
                  7,
                  8,
                  10,
                  11,
                  12,
                  13,
                  14,
                  15,
                  16,
                  18,
                  19,
                  20,
                  21,
                  22,
                  24,
                  25,
                  26,
                  27,
                  28,
                  30,
                  31,
                  32,
                  33,
                  34
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 10,
                "word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  5,
                  6,
                  7,
                  9,
                  10,
                  11,
                  12,
                  13,
                  14,
                  15,
                  17,
                  18,
                  19,
                  20,
                  21,
                  23,
                  24,
                  25,
                  26,
                  27,
                  29,
                  30,
                  31,
                  32,
                  33,
                  35
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 11,
                "word": [
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  5,
                  6,
                  8,
                  9,
                  10,
                  11,
                  12,
                  13,
                  14,
                  16,
                  17,
                  18,
                  19,
                  20,
                  22,
                  23,
                  24,
                  25,
                  26,
                  28,
                  29,
                  30,
                  31,
                  32,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 12,
                "word": [
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  4,
                  6,
                  7,
                  8,
                  9,
                  10,
                  11,
                  12,
                  14,
                  15,
                  16,
                  17,
                  18,
                  20,
                  21,
                  22,
                  23,
                  24,
                  26,
                  27,
                  28,
                  29,
                  30,
                  32,
                  33,
                  34
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 13,
                "word": [
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  5,
                  6,
                  7,
                  8,
                  9,
                  10,
                  11,
                  13,
                  14,
                  15,
                  16,
                  17,
                  19,
                  20,
                  21,
                  22,
                  23,
                  25,
                  26,
                  27,
                  28,
                  29,
                  31,
                  32,
                  33,
                  35
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 14,
                "word": [
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  5,
                  6,
                  7,
                  8,
                  9,
                  10,
                  12,
                  13,
                  14,
                  15,
                  16,
                  18,
                  19,
                  20,
                  21,
                  22,
                  24,
                  25,
                  26,
                  27,
                  28,
                  30,
                  31,
                  32,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 15,
                "word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  5,
                  6,
                  7,
                  8,
                  9,
                  11,
                  12,
                  13,
                  14,
                  15,
                  17,
                  18,
                  19,
                  20,
                  21,
                  23,
                  24,
                  25,
                  26,
                  27,
                  29,
                  30,
                  31,
                  33,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 16,
                "word": [
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  5,
                  6,
                  7,
                  8,
                  10,
                  11,
                  12,
                  13,
                  14,
                  16,
                  17,
                  18,
                  19,
                  20,
                  22,
                  23,
                  24,
                  25,
                  26,
                  28,
                  29,
                  30,
                  32,
                  33,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 17,
                "word": [
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  4,
                  5,
                  6,
                  8,
                  9,
                  10,
                  11,
                  12,
                  14,
                  15,
                  16,
                  17,
                  18,
                  20,
                  21,
                  22,
                  23,
                  24,
                  26,
                  27,
                  28,
                  30,
                  31,
                  32,
                  33,
                  34
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 18,
                "word": [
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  4,
                  5,
                  7,
                  8,
                  9,
                  10,
                  11,
                  13,
                  14,
                  15,
                  16,
                  17,
                  19,
                  20,
                  21,
                  22,
                  23,
                  25,
                  26,
                  27,
                  29,
                  30,
                  31,
                  32,
                  33,
                  35
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 19,
                "word": [
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  4,
                  6,
                  7,
                  8,
                  9,
                  10,
                  12,
                  13,
                  14,
                  15,
                  16,
                  18,
                  19,
                  20,
                  21,
                  22,
                  24,
                  25,
                  26,
                  28,
                  29,
                  30,
                  31,
                  32,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 20,
                "word": [
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  5,
                  6,
                  7,
                  8,
                  9,
                  11,
                  12,
                  13,
                  14,
                  15,
                  17,
                  18,
                  19,
                  20,
                  21,
                  23,
                  24,
                  25,
                  27,
                  28,
                  29,
                  30,
                  31,
                  33,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 21,
                "word": [
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  5,
                  6,
                  7,
                  8,
                  10,
                  11,
                  12,
                  13,
                  14,
                  16,
                  17,
                  18,
                  19,
                  20,
                  22,
                  23,
                  24,
                  26,
                  27,
                  28,
                  29,
                  30,
                  32,
                  33,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 22,
                "word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  5,
                  6,
                  7,
                  9,
                  10,
                  11,
                  12,
                  13,
                  15,
                  16,
                  17,
                  18,
                  19,
                  21,
                  22,
                  23,
                  25,
                  26,
                  27,
                  28,
                  29,
                  31,
                  32,
                  33,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 23,
                "word": [
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  5,
                  6,
                  8,
                  9,
                  10,
                  11,
                  12,
                  14,
                  15,
                  16,
                  17,
                  18,
                  20,
                  21,
                  22,
                  24,
                  25,
                  26,
                  27,
                  28,
                  30,
                  31,
                  32,
                  33,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 24,
                "word": [
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  4,
                  6,
                  7,
                  8,
                  9,
                  10,
                  12,
                  13,
                  14,
                  15,
                  16,
                  18,
                  19,
                  20,
                  22,
                  23,
                  24,
                  25,
                  26,
                  28,
                  29,
                  30,
                  31,
                  32,
                  33,
                  34
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 25,
                "word": [
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  5,
                  6,
                  7,
                  8,
                  9,
                  11,
                  12,
                  13,
                  14,
                  15,
                  17,
                  18,
                  19,
                  21,
                  22,
                  23,
                  24,
                  25,
                  27,
                  28,
                  29,
                  30,
                  31,
                  32,
                  33,
                  35
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 26,
                "word": [
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  5,
                  6,
                  7,
                  8,
                  10,
                  11,
                  12,
                  13,
                  14,
                  16,
                  17,
                  18,
                  20,
                  21,
                  22,
                  23,
                  24,
                  26,
                  27,
                  28,
                  29,
                  30,
                  31,
                  32,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 27,
                "word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  5,
                  6,
                  7,
                  9,
                  10,
                  11,
                  12,
                  13,
                  15,
                  16,
                  17,
                  19,
                  20,
                  21,
                  22,
                  23,
                  25,
                  26,
                  27,
                  28,
                  29,
                  30,
                  31,
                  33,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 28,
                "word": [
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  5,
                  6,
                  8,
                  9,
                  10,
                  11,
                  12,
                  14,
                  15,
                  16,
                  18,
                  19,
                  20,
                  21,
                  22,
                  24,
                  25,
                  26,
                  27,
                  28,
                  29,
                  30,
                  32,
                  33,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 29,
                "word": [
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  4,
                  6,
                  7,
                  8,
                  9,
                  10,
                  12,
                  13,
                  14,
                  16,
                  17,
                  18,
                  19,
                  20,
                  22,
                  23,
                  24,
                  25,
                  26,
                  27,
                  28,
                  30,
                  31,
                  32,
                  33,
                  34
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1
                ],
                "reflection_target": null,
                "relation": "external",
                "rotation": 30,
                "word": [
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2
                ]
              }
            ],
            "self_reflections": 0,
            "word": [
              1,
              1,
              1,
              2,
              1,
              1,
              1,
              1,
              2,
              1,
              1,
              2,
              1,
              1,
              1,
              1,
              2,
              1,
              1,
              1,
              1,
              1,
              1,
              2,
              1,
              1,
              1,
              1,
              2,
              1
            ]
          },
          "repeat": {
            "cardinality": 30,
            "closed_under_reflection": true,
            "distinct_rotations": 5,
            "external_reflections": 0,
            "mirror_pairs": 2,
            "modulus": 36,
            "rotations": [
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  5,
                  6,
                  7,
                  8,
                  9,
                  11,
                  12,
                  13,
                  14,
                  15,
                  17,
                  18,
                  19,
                  20,
                  21,
                  23,
                  24,
                  25,
                  26,
                  27,
                  29,
                  30,
                  31,
                  32,
                  33,
                  35
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1
                ],
                "reflection_target": 3,
                "relation": "pair",
                "rotation": 1,
                "word": [
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  5,
                  6,
                  7,
                  8,
                  10,
                  11,
                  12,
                  13,
                  14,
                  16,
                  17,
                  18,
                  19,
                  20,
                  22,
                  23,
                  24,
                  25,
                  26,
                  28,
                  29,
                  30,
                  31,
                  32,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1
                ],
                "reflection_target": 2,
                "relation": "self",
                "rotation": 2,
                "word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  5,
                  6,
                  7,
                  9,
                  10,
                  11,
                  12,
                  13,
                  15,
                  16,
                  17,
                  18,
                  19,
                  21,
                  22,
                  23,
                  24,
                  25,
                  27,
                  28,
                  29,
                  30,
                  31,
                  33,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1
                ],
                "reflection_target": 1,
                "relation": "pair",
                "rotation": 3,
                "word": [
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  5,
                  6,
                  8,
                  9,
                  10,
                  11,
                  12,
                  14,
                  15,
                  16,
                  17,
                  18,
                  20,
                  21,
                  22,
                  23,
                  24,
                  26,
                  27,
                  28,
                  29,
                  30,
                  32,
                  33,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2
                ],
                "reflection_target": 5,
                "relation": "pair",
                "rotation": 4,
                "word": [
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  4,
                  6,
                  7,
                  8,
                  9,
                  10,
                  12,
                  13,
                  14,
                  15,
                  16,
                  18,
                  19,
                  20,
                  21,
                  22,
                  24,
                  25,
                  26,
                  27,
                  28,
                  30,
                  31,
                  32,
                  33,
                  34
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1
                ],
                "reflection_target": 4,
                "relation": "pair",
                "rotation": 5,
                "word": [
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2
                ]
              }
            ],
            "self_reflections": 1,
            "word": [
              1,
              1,
              1,
              2,
              1,
              1,
              1,
              1,
              2,
              1,
              1,
              1,
              1,
              2,
              1,
              1,
              1,
              1,
              2,
              1,
              1,
              1,
              1,
              2,
              1,
              1,
              1,
              1,
              2,
              1
            ]
          },
          "rotate_lift": {
            "cardinality": 30,
            "closed_under_reflection": true,
            "distinct_rotations": 30,
            "external_reflections": 0,
            "mirror_pairs": 14,
            "modulus": 36,
            "rotations": [
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  5,
                  6,
                  7,
                  8,
                  9,
                  11,
                  12,
                  13,
                  14,
                  16,
                  17,
                  18,
                  19,
                  20,
                  22,
                  23,
                  24,
                  25,
                  27,
                  28,
                  29,
                  30,
                  31,
                  33,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1
                ],
                "reflection_target": 1,
                "relation": "self",
                "rotation": 1,
                "word": [
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  5,
                  6,
                  7,
                  8,
                  10,
                  11,
                  12,
                  13,
                  15,
                  16,
                  17,
                  18,
                  19,
                  21,
                  22,
                  23,
                  24,
                  26,
                  27,
                  28,
                  29,
                  30,
                  32,
                  33,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1
                ],
                "reflection_target": 30,
                "relation": "pair",
                "rotation": 2,
                "word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  5,
                  6,
                  7,
                  9,
                  10,
                  11,
                  12,
                  14,
                  15,
                  16,
                  17,
                  18,
                  20,
                  21,
                  22,
                  23,
                  25,
                  26,
                  27,
                  28,
                  29,
                  31,
                  32,
                  33,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1
                ],
                "reflection_target": 29,
                "relation": "pair",
                "rotation": 3,
                "word": [
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  5,
                  6,
                  8,
                  9,
                  10,
                  11,
                  13,
                  14,
                  15,
                  16,
                  17,
                  19,
                  20,
                  21,
                  22,
                  24,
                  25,
                  26,
                  27,
                  28,
                  30,
                  31,
                  32,
                  33,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2
                ],
                "reflection_target": 28,
                "relation": "pair",
                "rotation": 4,
                "word": [
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  4,
                  6,
                  7,
                  8,
                  9,
                  11,
                  12,
                  13,
                  14,
                  15,
                  17,
                  18,
                  19,
                  20,
                  22,
                  23,
                  24,
                  25,
                  26,
                  28,
                  29,
                  30,
                  31,
                  32,
                  33,
                  34
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1
                ],
                "reflection_target": 27,
                "relation": "pair",
                "rotation": 5,
                "word": [
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  5,
                  6,
                  7,
                  8,
                  10,
                  11,
                  12,
                  13,
                  14,
                  16,
                  17,
                  18,
                  19,
                  21,
                  22,
                  23,
                  24,
                  25,
                  27,
                  28,
                  29,
                  30,
                  31,
                  32,
                  33,
                  35
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1
                ],
                "reflection_target": 26,
                "relation": "pair",
                "rotation": 6,
                "word": [
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  5,
                  6,
                  7,
                  9,
                  10,
                  11,
                  12,
                  13,
                  15,
                  16,
                  17,
                  18,
                  20,
                  21,
                  22,
                  23,
                  24,
                  26,
                  27,
                  28,
                  29,
                  30,
                  31,
                  32,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1
                ],
                "reflection_target": 25,
                "relation": "pair",
                "rotation": 7,
                "word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  5,
                  6,
                  8,
                  9,
                  10,
                  11,
                  12,
                  14,
                  15,
                  16,
                  17,
                  19,
                  20,
                  21,
                  22,
                  23,
                  25,
                  26,
                  27,
                  28,
                  29,
                  30,
                  31,
                  33,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1
                ],
                "reflection_target": 24,
                "relation": "pair",
                "rotation": 8,
                "word": [
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  5,
                  7,
                  8,
                  9,
                  10,
                  11,
                  13,
                  14,
                  15,
                  16,
                  18,
                  19,
                  20,
                  21,
                  22,
                  24,
                  25,
                  26,
                  27,
                  28,
                  29,
                  30,
                  32,
                  33,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2
                ],
                "reflection_target": 23,
                "relation": "pair",
                "rotation": 9,
                "word": [
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  5,
                  6,
                  7,
                  8,
                  9,
                  11,
                  12,
                  13,
                  14,
                  16,
                  17,
                  18,
                  19,
                  20,
                  22,
                  23,
                  24,
                  25,
                  26,
                  27,
                  28,
                  30,
                  31,
                  32,
                  33,
                  34
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1
                ],
                "reflection_target": 22,
                "relation": "pair",
                "rotation": 10,
                "word": [
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  5,
                  6,
                  7,
                  8,
                  10,
                  11,
                  12,
                  13,
                  15,
                  16,
                  17,
                  18,
                  19,
                  21,
                  22,
                  23,
                  24,
                  25,
                  26,
                  27,
                  29,
                  30,
                  31,
                  32,
                  33,
                  35
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1
                ],
                "reflection_target": 21,
                "relation": "pair",
                "rotation": 11,
                "word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  5,
                  6,
                  7,
                  9,
                  10,
                  11,
                  12,
                  14,
                  15,
                  16,
                  17,
                  18,
                  20,
                  21,
                  22,
                  23,
                  24,
                  25,
                  26,
                  28,
                  29,
                  30,
                  31,
                  32,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1
                ],
                "reflection_target": 20,
                "relation": "pair",
                "rotation": 12,
                "word": [
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  5,
                  6,
                  8,
                  9,
                  10,
                  11,
                  13,
                  14,
                  15,
                  16,
                  17,
                  19,
                  20,
                  21,
                  22,
                  23,
                  24,
                  25,
                  27,
                  28,
                  29,
                  30,
                  31,
                  33,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2
                ],
                "reflection_target": 19,
                "relation": "pair",
                "rotation": 13,
                "word": [
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  4,
                  6,
                  7,
                  8,
                  9,
                  11,
                  12,
                  13,
                  14,
                  15,
                  17,
                  18,
                  19,
                  20,
                  21,
                  22,
                  23,
                  25,
                  26,
                  27,
                  28,
                  29,
                  31,
                  32,
                  33,
                  34
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1
                ],
                "reflection_target": 18,
                "relation": "pair",
                "rotation": 14,
                "word": [
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  5,
                  6,
                  7,
                  8,
                  10,
                  11,
                  12,
                  13,
                  14,
                  16,
                  17,
                  18,
                  19,
                  20,
                  21,
                  22,
                  24,
                  25,
                  26,
                  27,
                  28,
                  30,
                  31,
                  32,
                  33,
                  35
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1
                ],
                "reflection_target": 17,
                "relation": "pair",
                "rotation": 15,
                "word": [
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  5,
                  6,
                  7,
                  9,
                  10,
                  11,
                  12,
                  13,
                  15,
                  16,
                  17,
                  18,
                  19,
                  20,
                  21,
                  23,
                  24,
                  25,
                  26,
                  27,
                  29,
                  30,
                  31,
                  32,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1
                ],
                "reflection_target": 16,
                "relation": "self",
                "rotation": 16,
                "word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  5,
                  6,
                  8,
                  9,
                  10,
                  11,
                  12,
                  14,
                  15,
                  16,
                  17,
                  18,
                  19,
                  20,
                  22,
                  23,
                  24,
                  25,
                  26,
                  28,
                  29,
                  30,
                  31,
                  33,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1
                ],
                "reflection_target": 15,
                "relation": "pair",
                "rotation": 17,
                "word": [
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  5,
                  7,
                  8,
                  9,
                  10,
                  11,
                  13,
                  14,
                  15,
                  16,
                  17,
                  18,
                  19,
                  21,
                  22,
                  23,
                  24,
                  25,
                  27,
                  28,
                  29,
                  30,
                  32,
                  33,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2
                ],
                "reflection_target": 14,
                "relation": "pair",
                "rotation": 18,
                "word": [
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  5,
                  6,
                  7,
                  8,
                  9,
                  11,
                  12,
                  13,
                  14,
                  15,
                  16,
                  17,
                  19,
                  20,
                  21,
                  22,
                  23,
                  25,
                  26,
                  27,
                  28,
                  30,
                  31,
                  32,
                  33,
                  34
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1
                ],
                "reflection_target": 13,
                "relation": "pair",
                "rotation": 19,
                "word": [
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  5,
                  6,
                  7,
                  8,
                  10,
                  11,
                  12,
                  13,
                  14,
                  15,
                  16,
                  18,
                  19,
                  20,
                  21,
                  22,
                  24,
                  25,
                  26,
                  27,
                  29,
                  30,
                  31,
                  32,
                  33,
                  35
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1
                ],
                "reflection_target": 12,
                "relation": "pair",
                "rotation": 20,
                "word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  5,
                  6,
                  7,
                  9,
                  10,
                  11,
                  12,
                  13,
                  14,
                  15,
                  17,
                  18,
                  19,
                  20,
                  21,
                  23,
                  24,
                  25,
                  26,
                  28,
                  29,
                  30,
                  31,
                  32,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1
                ],
                "reflection_target": 11,
                "relation": "pair",
                "rotation": 21,
                "word": [
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  5,
                  6,
                  8,
                  9,
                  10,
                  11,
                  12,
                  13,
                  14,
                  16,
                  17,
                  18,
                  19,
                  20,
                  22,
                  23,
                  24,
                  25,
                  27,
                  28,
                  29,
                  30,
                  31,
                  33,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2
                ],
                "reflection_target": 10,
                "relation": "pair",
                "rotation": 22,
                "word": [
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  4,
                  6,
                  7,
                  8,
                  9,
                  10,
                  11,
                  12,
                  14,
                  15,
                  16,
                  17,
                  18,
                  20,
                  21,
                  22,
                  23,
                  25,
                  26,
                  27,
                  28,
                  29,
                  31,
                  32,
                  33,
                  34
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1
                ],
                "reflection_target": 9,
                "relation": "pair",
                "rotation": 23,
                "word": [
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  5,
                  6,
                  7,
                  8,
                  9,
                  10,
                  11,
                  13,
                  14,
                  15,
                  16,
                  17,
                  19,
                  20,
                  21,
                  22,
                  24,
                  25,
                  26,
                  27,
                  28,
                  30,
                  31,
                  32,
                  33,
                  35
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1
                ],
                "reflection_target": 8,
                "relation": "pair",
                "rotation": 24,
                "word": [
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  5,
                  6,
                  7,
                  8,
                  9,
                  10,
                  12,
                  13,
                  14,
                  15,
                  16,
                  18,
                  19,
                  20,
                  21,
                  23,
                  24,
                  25,
                  26,
                  27,
                  29,
                  30,
                  31,
                  32,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1
                ],
                "reflection_target": 7,
                "relation": "pair",
                "rotation": 25,
                "word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  5,
                  6,
                  7,
                  8,
                  9,
                  11,
                  12,
                  13,
                  14,
                  15,
                  17,
                  18,
                  19,
                  20,
                  22,
                  23,
                  24,
                  25,
                  26,
                  28,
                  29,
                  30,
                  31,
                  33,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1
                ],
                "reflection_target": 6,
                "relation": "pair",
                "rotation": 26,
                "word": [
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  5,
                  6,
                  7,
                  8,
                  10,
                  11,
                  12,
                  13,
                  14,
                  16,
                  17,
                  18,
                  19,
                  21,
                  22,
                  23,
                  24,
                  25,
                  27,
                  28,
                  29,
                  30,
                  32,
                  33,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2
                ],
                "reflection_target": 5,
                "relation": "pair",
                "rotation": 27,
                "word": [
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  4,
                  5,
                  6,
                  8,
                  9,
                  10,
                  11,
                  12,
                  14,
                  15,
                  16,
                  17,
                  19,
                  20,
                  21,
                  22,
                  23,
                  25,
                  26,
                  27,
                  28,
                  30,
                  31,
                  32,
                  33,
                  34
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1
                ],
                "reflection_target": 4,
                "relation": "pair",
                "rotation": 28,
                "word": [
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  4,
                  5,
                  7,
                  8,
                  9,
                  10,
                  11,
                  13,
                  14,
                  15,
                  16,
                  18,
                  19,
                  20,
                  21,
                  22,
                  24,
                  25,
                  26,
                  27,
                  29,
                  30,
                  31,
                  32,
                  33,
                  35
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1
                ],
                "reflection_target": 3,
                "relation": "pair",
                "rotation": 29,
                "word": [
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  4,
                  6,
                  7,
                  8,
                  9,
                  10,
                  12,
                  13,
                  14,
                  15,
                  17,
                  18,
                  19,
                  20,
                  21,
                  23,
                  24,
                  25,
                  26,
                  28,
                  29,
                  30,
                  31,
                  32,
                  34,
                  35
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1
                ],
                "reflection_target": 2,
                "relation": "pair",
                "rotation": 30,
                "word": [
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1
                ]
              }
            ],
            "self_reflections": 2,
            "word": [
              1,
              1,
              1,
              2,
              1,
              1,
              1,
              1,
              2,
              1,
              1,
              1,
              2,
              1,
              1,
              1,
              1,
              2,
              1,
              1,
              1,
              2,
              1,
              1,
              1,
              1,
              2,
              1,
              1,
              1
            ]
          }
        },
        "4": {
          "mirror_lift": {
            "cardinality": 40,
            "closed_under_reflection": true,
            "distinct_rotations": 20,
            "external_reflections": 0,
            "mirror_pairs": 9,
            "modulus": 48,
            "rotations": [
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  5,
                  6,
                  7,
                  8,
                  9,
                  11,
                  12,
                  13,
                  15,
                  16,
                  17,
                  18,
                  19,
                  21,
                  22,
                  23,
                  24,
                  25,
                  26,
                  27,
                  29,
                  30,
                  31,
                  32,
                  33,
                  35,
                  36,
                  37,
                  39,
                  40,
                  41,
                  42,
                  43,
                  45,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1
                ],
                "reflection_target": 1,
                "relation": "self",
                "rotation": 1,
                "word": [
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  5,
                  6,
                  7,
                  8,
                  10,
                  11,
                  12,
                  14,
                  15,
                  16,
                  17,
                  18,
                  20,
                  21,
                  22,
                  23,
                  24,
                  25,
                  26,
                  28,
                  29,
                  30,
                  31,
                  32,
                  34,
                  35,
                  36,
                  38,
                  39,
                  40,
                  41,
                  42,
                  44,
                  45,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1
                ],
                "reflection_target": 20,
                "relation": "pair",
                "rotation": 2,
                "word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  5,
                  6,
                  7,
                  9,
                  10,
                  11,
                  13,
                  14,
                  15,
                  16,
                  17,
                  19,
                  20,
                  21,
                  22,
                  23,
                  24,
                  25,
                  27,
                  28,
                  29,
                  30,
                  31,
                  33,
                  34,
                  35,
                  37,
                  38,
                  39,
                  40,
                  41,
                  43,
                  44,
                  45,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1
                ],
                "reflection_target": 19,
                "relation": "pair",
                "rotation": 3,
                "word": [
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  5,
                  6,
                  8,
                  9,
                  10,
                  12,
                  13,
                  14,
                  15,
                  16,
                  18,
                  19,
                  20,
                  21,
                  22,
                  23,
                  24,
                  26,
                  27,
                  28,
                  29,
                  30,
                  32,
                  33,
                  34,
                  36,
                  37,
                  38,
                  39,
                  40,
                  42,
                  43,
                  44,
                  45,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2
                ],
                "reflection_target": 18,
                "relation": "pair",
                "rotation": 4,
                "word": [
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  4,
                  6,
                  7,
                  8,
                  10,
                  11,
                  12,
                  13,
                  14,
                  16,
                  17,
                  18,
                  19,
                  20,
                  21,
                  22,
                  24,
                  25,
                  26,
                  27,
                  28,
                  30,
                  31,
                  32,
                  34,
                  35,
                  36,
                  37,
                  38,
                  40,
                  41,
                  42,
                  43,
                  44,
                  45,
                  46
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1
                ],
                "reflection_target": 17,
                "relation": "pair",
                "rotation": 5,
                "word": [
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  5,
                  6,
                  7,
                  9,
                  10,
                  11,
                  12,
                  13,
                  15,
                  16,
                  17,
                  18,
                  19,
                  20,
                  21,
                  23,
                  24,
                  25,
                  26,
                  27,
                  29,
                  30,
                  31,
                  33,
                  34,
                  35,
                  36,
                  37,
                  39,
                  40,
                  41,
                  42,
                  43,
                  44,
                  45,
                  47
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1
                ],
                "reflection_target": 16,
                "relation": "pair",
                "rotation": 6,
                "word": [
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  5,
                  6,
                  8,
                  9,
                  10,
                  11,
                  12,
                  14,
                  15,
                  16,
                  17,
                  18,
                  19,
                  20,
                  22,
                  23,
                  24,
                  25,
                  26,
                  28,
                  29,
                  30,
                  32,
                  33,
                  34,
                  35,
                  36,
                  38,
                  39,
                  40,
                  41,
                  42,
                  43,
                  44,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1
                ],
                "reflection_target": 15,
                "relation": "pair",
                "rotation": 7,
                "word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  5,
                  7,
                  8,
                  9,
                  10,
                  11,
                  13,
                  14,
                  15,
                  16,
                  17,
                  18,
                  19,
                  21,
                  22,
                  23,
                  24,
                  25,
                  27,
                  28,
                  29,
                  31,
                  32,
                  33,
                  34,
                  35,
                  37,
                  38,
                  39,
                  40,
                  41,
                  42,
                  43,
                  45,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1
                ],
                "reflection_target": 14,
                "relation": "pair",
                "rotation": 8,
                "word": [
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  6,
                  7,
                  8,
                  9,
                  10,
                  12,
                  13,
                  14,
                  15,
                  16,
                  17,
                  18,
                  20,
                  21,
                  22,
                  23,
                  24,
                  26,
                  27,
                  28,
                  30,
                  31,
                  32,
                  33,
                  34,
                  36,
                  37,
                  38,
                  39,
                  40,
                  41,
                  42,
                  44,
                  45,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2
                ],
                "reflection_target": 13,
                "relation": "pair",
                "rotation": 9,
                "word": [
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  5,
                  6,
                  7,
                  8,
                  10,
                  11,
                  12,
                  13,
                  14,
                  15,
                  16,
                  18,
                  19,
                  20,
                  21,
                  22,
                  24,
                  25,
                  26,
                  28,
                  29,
                  30,
                  31,
                  32,
                  34,
                  35,
                  36,
                  37,
                  38,
                  39,
                  40,
                  42,
                  43,
                  44,
                  45,
                  46
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1
                ],
                "reflection_target": 12,
                "relation": "pair",
                "rotation": 10,
                "word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  5,
                  6,
                  7,
                  9,
                  10,
                  11,
                  12,
                  13,
                  14,
                  15,
                  17,
                  18,
                  19,
                  20,
                  21,
                  23,
                  24,
                  25,
                  27,
                  28,
                  29,
                  30,
                  31,
                  33,
                  34,
                  35,
                  36,
                  37,
                  38,
                  39,
                  41,
                  42,
                  43,
                  44,
                  45,
                  47
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1
                ],
                "reflection_target": 11,
                "relation": "self",
                "rotation": 11,
                "word": [
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  5,
                  6,
                  8,
                  9,
                  10,
                  11,
                  12,
                  13,
                  14,
                  16,
                  17,
                  18,
                  19,
                  20,
                  22,
                  23,
                  24,
                  26,
                  27,
                  28,
                  29,
                  30,
                  32,
                  33,
                  34,
                  35,
                  36,
                  37,
                  38,
                  40,
                  41,
                  42,
                  43,
                  44,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2
                ],
                "reflection_target": 10,
                "relation": "pair",
                "rotation": 12,
                "word": [
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  4,
                  6,
                  7,
                  8,
                  9,
                  10,
                  11,
                  12,
                  14,
                  15,
                  16,
                  17,
                  18,
                  20,
                  21,
                  22,
                  24,
                  25,
                  26,
                  27,
                  28,
                  30,
                  31,
                  32,
                  33,
                  34,
                  35,
                  36,
                  38,
                  39,
                  40,
                  41,
                  42,
                  44,
                  45,
                  46
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1
                ],
                "reflection_target": 9,
                "relation": "pair",
                "rotation": 13,
                "word": [
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  5,
                  6,
                  7,
                  8,
                  9,
                  10,
                  11,
                  13,
                  14,
                  15,
                  16,
                  17,
                  19,
                  20,
                  21,
                  23,
                  24,
                  25,
                  26,
                  27,
                  29,
                  30,
                  31,
                  32,
                  33,
                  34,
                  35,
                  37,
                  38,
                  39,
                  40,
                  41,
                  43,
                  44,
                  45,
                  47
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1
                ],
                "reflection_target": 8,
                "relation": "pair",
                "rotation": 14,
                "word": [
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  5,
                  6,
                  7,
                  8,
                  9,
                  10,
                  12,
                  13,
                  14,
                  15,
                  16,
                  18,
                  19,
                  20,
                  22,
                  23,
                  24,
                  25,
                  26,
                  28,
                  29,
                  30,
                  31,
                  32,
                  33,
                  34,
                  36,
                  37,
                  38,
                  39,
                  40,
                  42,
                  43,
                  44,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1
                ],
                "reflection_target": 7,
                "relation": "pair",
                "rotation": 15,
                "word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  5,
                  6,
                  7,
                  8,
                  9,
                  11,
                  12,
                  13,
                  14,
                  15,
                  17,
                  18,
                  19,
                  21,
                  22,
                  23,
                  24,
                  25,
                  27,
                  28,
                  29,
                  30,
                  31,
                  32,
                  33,
                  35,
                  36,
                  37,
                  38,
                  39,
                  41,
                  42,
                  43,
                  45,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1
                ],
                "reflection_target": 6,
                "relation": "pair",
                "rotation": 16,
                "word": [
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  5,
                  6,
                  7,
                  8,
                  10,
                  11,
                  12,
                  13,
                  14,
                  16,
                  17,
                  18,
                  20,
                  21,
                  22,
                  23,
                  24,
                  26,
                  27,
                  28,
                  29,
                  30,
                  31,
                  32,
                  34,
                  35,
                  36,
                  37,
                  38,
                  40,
                  41,
                  42,
                  44,
                  45,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2
                ],
                "reflection_target": 5,
                "relation": "pair",
                "rotation": 17,
                "word": [
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  4,
                  5,
                  6,
                  8,
                  9,
                  10,
                  11,
                  12,
                  14,
                  15,
                  16,
                  18,
                  19,
                  20,
                  21,
                  22,
                  24,
                  25,
                  26,
                  27,
                  28,
                  29,
                  30,
                  32,
                  33,
                  34,
                  35,
                  36,
                  38,
                  39,
                  40,
                  42,
                  43,
                  44,
                  45,
                  46
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1
                ],
                "reflection_target": 4,
                "relation": "pair",
                "rotation": 18,
                "word": [
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  4,
                  5,
                  7,
                  8,
                  9,
                  10,
                  11,
                  13,
                  14,
                  15,
                  17,
                  18,
                  19,
                  20,
                  21,
                  23,
                  24,
                  25,
                  26,
                  27,
                  28,
                  29,
                  31,
                  32,
                  33,
                  34,
                  35,
                  37,
                  38,
                  39,
                  41,
                  42,
                  43,
                  44,
                  45,
                  47
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1
                ],
                "reflection_target": 3,
                "relation": "pair",
                "rotation": 19,
                "word": [
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  4,
                  6,
                  7,
                  8,
                  9,
                  10,
                  12,
                  13,
                  14,
                  16,
                  17,
                  18,
                  19,
                  20,
                  22,
                  23,
                  24,
                  25,
                  26,
                  27,
                  28,
                  30,
                  31,
                  32,
                  33,
                  34,
                  36,
                  37,
                  38,
                  40,
                  41,
                  42,
                  43,
                  44,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1
                ],
                "reflection_target": 2,
                "relation": "pair",
                "rotation": 20,
                "word": [
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1
                ]
              }
            ],
            "self_reflections": 2,
            "word": [
              1,
              1,
              1,
              2,
              1,
              1,
              1,
              1,
              2,
              1,
              1,
              2,
              1,
              1,
              1,
              1,
              2,
              1,
              1,
              1,
              1,
              1,
              1,
              2,
              1,
              1,
              1,
              1,
              2,
              1,
              1,
              2,
              1,
              1,
              1,
              1,
              2,
              1,
              1,
              1
            ]
          },
          "repeat": {
            "cardinality": 40,
            "closed_under_reflection": true,
            "distinct_rotations": 5,
            "external_reflections": 0,
            "mirror_pairs": 2,
            "modulus": 48,
            "rotations": [
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  5,
                  6,
                  7,
                  8,
                  9,
                  11,
                  12,
                  13,
                  14,
                  15,
                  17,
                  18,
                  19,
                  20,
                  21,
                  23,
                  24,
                  25,
                  26,
                  27,
                  29,
                  30,
                  31,
                  32,
                  33,
                  35,
                  36,
                  37,
                  38,
                  39,
                  41,
                  42,
                  43,
                  44,
                  45,
                  47
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1
                ],
                "reflection_target": 3,
                "relation": "pair",
                "rotation": 1,
                "word": [
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  5,
                  6,
                  7,
                  8,
                  10,
                  11,
                  12,
                  13,
                  14,
                  16,
                  17,
                  18,
                  19,
                  20,
                  22,
                  23,
                  24,
                  25,
                  26,
                  28,
                  29,
                  30,
                  31,
                  32,
                  34,
                  35,
                  36,
                  37,
                  38,
                  40,
                  41,
                  42,
                  43,
                  44,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1
                ],
                "reflection_target": 2,
                "relation": "self",
                "rotation": 2,
                "word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  5,
                  6,
                  7,
                  9,
                  10,
                  11,
                  12,
                  13,
                  15,
                  16,
                  17,
                  18,
                  19,
                  21,
                  22,
                  23,
                  24,
                  25,
                  27,
                  28,
                  29,
                  30,
                  31,
                  33,
                  34,
                  35,
                  36,
                  37,
                  39,
                  40,
                  41,
                  42,
                  43,
                  45,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1
                ],
                "reflection_target": 1,
                "relation": "pair",
                "rotation": 3,
                "word": [
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  5,
                  6,
                  8,
                  9,
                  10,
                  11,
                  12,
                  14,
                  15,
                  16,
                  17,
                  18,
                  20,
                  21,
                  22,
                  23,
                  24,
                  26,
                  27,
                  28,
                  29,
                  30,
                  32,
                  33,
                  34,
                  35,
                  36,
                  38,
                  39,
                  40,
                  41,
                  42,
                  44,
                  45,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2
                ],
                "reflection_target": 5,
                "relation": "pair",
                "rotation": 4,
                "word": [
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  4,
                  6,
                  7,
                  8,
                  9,
                  10,
                  12,
                  13,
                  14,
                  15,
                  16,
                  18,
                  19,
                  20,
                  21,
                  22,
                  24,
                  25,
                  26,
                  27,
                  28,
                  30,
                  31,
                  32,
                  33,
                  34,
                  36,
                  37,
                  38,
                  39,
                  40,
                  42,
                  43,
                  44,
                  45,
                  46
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1
                ],
                "reflection_target": 4,
                "relation": "pair",
                "rotation": 5,
                "word": [
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2
                ]
              }
            ],
            "self_reflections": 1,
            "word": [
              1,
              1,
              1,
              2,
              1,
              1,
              1,
              1,
              2,
              1,
              1,
              1,
              1,
              2,
              1,
              1,
              1,
              1,
              2,
              1,
              1,
              1,
              1,
              2,
              1,
              1,
              1,
              1,
              2,
              1,
              1,
              1,
              1,
              2,
              1,
              1,
              1,
              1,
              2,
              1
            ]
          },
          "rotate_lift": {
            "cardinality": 40,
            "closed_under_reflection": true,
            "distinct_rotations": 40,
            "external_reflections": 0,
            "mirror_pairs": 20,
            "modulus": 48,
            "rotations": [
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  5,
                  6,
                  7,
                  8,
                  9,
                  11,
                  12,
                  13,
                  14,
                  16,
                  17,
                  18,
                  19,
                  20,
                  22,
                  23,
                  24,
                  25,
                  27,
                  28,
                  29,
                  30,
                  31,
                  33,
                  34,
                  35,
                  36,
                  38,
                  39,
                  40,
                  41,
                  42,
                  44,
                  45,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1
                ],
                "reflection_target": 40,
                "relation": "pair",
                "rotation": 1,
                "word": [
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  5,
                  6,
                  7,
                  8,
                  10,
                  11,
                  12,
                  13,
                  15,
                  16,
                  17,
                  18,
                  19,
                  21,
                  22,
                  23,
                  24,
                  26,
                  27,
                  28,
                  29,
                  30,
                  32,
                  33,
                  34,
                  35,
                  37,
                  38,
                  39,
                  40,
                  41,
                  43,
                  44,
                  45,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1
                ],
                "reflection_target": 39,
                "relation": "pair",
                "rotation": 2,
                "word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  5,
                  6,
                  7,
                  9,
                  10,
                  11,
                  12,
                  14,
                  15,
                  16,
                  17,
                  18,
                  20,
                  21,
                  22,
                  23,
                  25,
                  26,
                  27,
                  28,
                  29,
                  31,
                  32,
                  33,
                  34,
                  36,
                  37,
                  38,
                  39,
                  40,
                  42,
                  43,
                  44,
                  45,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1
                ],
                "reflection_target": 38,
                "relation": "pair",
                "rotation": 3,
                "word": [
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  5,
                  6,
                  8,
                  9,
                  10,
                  11,
                  13,
                  14,
                  15,
                  16,
                  17,
                  19,
                  20,
                  21,
                  22,
                  24,
                  25,
                  26,
                  27,
                  28,
                  30,
                  31,
                  32,
                  33,
                  35,
                  36,
                  37,
                  38,
                  39,
                  41,
                  42,
                  43,
                  44,
                  45,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2
                ],
                "reflection_target": 37,
                "relation": "pair",
                "rotation": 4,
                "word": [
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  4,
                  6,
                  7,
                  8,
                  9,
                  11,
                  12,
                  13,
                  14,
                  15,
                  17,
                  18,
                  19,
                  20,
                  22,
                  23,
                  24,
                  25,
                  26,
                  28,
                  29,
                  30,
                  31,
                  33,
                  34,
                  35,
                  36,
                  37,
                  39,
                  40,
                  41,
                  42,
                  43,
                  44,
                  45,
                  46
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1
                ],
                "reflection_target": 36,
                "relation": "pair",
                "rotation": 5,
                "word": [
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  5,
                  6,
                  7,
                  8,
                  10,
                  11,
                  12,
                  13,
                  14,
                  16,
                  17,
                  18,
                  19,
                  21,
                  22,
                  23,
                  24,
                  25,
                  27,
                  28,
                  29,
                  30,
                  32,
                  33,
                  34,
                  35,
                  36,
                  38,
                  39,
                  40,
                  41,
                  42,
                  43,
                  44,
                  45,
                  47
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1
                ],
                "reflection_target": 35,
                "relation": "pair",
                "rotation": 6,
                "word": [
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  5,
                  6,
                  7,
                  9,
                  10,
                  11,
                  12,
                  13,
                  15,
                  16,
                  17,
                  18,
                  20,
                  21,
                  22,
                  23,
                  24,
                  26,
                  27,
                  28,
                  29,
                  31,
                  32,
                  33,
                  34,
                  35,
                  37,
                  38,
                  39,
                  40,
                  41,
                  42,
                  43,
                  44,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1
                ],
                "reflection_target": 34,
                "relation": "pair",
                "rotation": 7,
                "word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  5,
                  6,
                  8,
                  9,
                  10,
                  11,
                  12,
                  14,
                  15,
                  16,
                  17,
                  19,
                  20,
                  21,
                  22,
                  23,
                  25,
                  26,
                  27,
                  28,
                  30,
                  31,
                  32,
                  33,
                  34,
                  36,
                  37,
                  38,
                  39,
                  40,
                  41,
                  42,
                  43,
                  45,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1
                ],
                "reflection_target": 33,
                "relation": "pair",
                "rotation": 8,
                "word": [
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  5,
                  7,
                  8,
                  9,
                  10,
                  11,
                  13,
                  14,
                  15,
                  16,
                  18,
                  19,
                  20,
                  21,
                  22,
                  24,
                  25,
                  26,
                  27,
                  29,
                  30,
                  31,
                  32,
                  33,
                  35,
                  36,
                  37,
                  38,
                  39,
                  40,
                  41,
                  42,
                  44,
                  45,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2
                ],
                "reflection_target": 32,
                "relation": "pair",
                "rotation": 9,
                "word": [
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  5,
                  6,
                  7,
                  8,
                  9,
                  11,
                  12,
                  13,
                  14,
                  16,
                  17,
                  18,
                  19,
                  20,
                  22,
                  23,
                  24,
                  25,
                  27,
                  28,
                  29,
                  30,
                  31,
                  33,
                  34,
                  35,
                  36,
                  37,
                  38,
                  39,
                  40,
                  42,
                  43,
                  44,
                  45,
                  46
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1
                ],
                "reflection_target": 31,
                "relation": "pair",
                "rotation": 10,
                "word": [
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  5,
                  6,
                  7,
                  8,
                  10,
                  11,
                  12,
                  13,
                  15,
                  16,
                  17,
                  18,
                  19,
                  21,
                  22,
                  23,
                  24,
                  26,
                  27,
                  28,
                  29,
                  30,
                  32,
                  33,
                  34,
                  35,
                  36,
                  37,
                  38,
                  39,
                  41,
                  42,
                  43,
                  44,
                  45,
                  47
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1
                ],
                "reflection_target": 30,
                "relation": "pair",
                "rotation": 11,
                "word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  5,
                  6,
                  7,
                  9,
                  10,
                  11,
                  12,
                  14,
                  15,
                  16,
                  17,
                  18,
                  20,
                  21,
                  22,
                  23,
                  25,
                  26,
                  27,
                  28,
                  29,
                  31,
                  32,
                  33,
                  34,
                  35,
                  36,
                  37,
                  38,
                  40,
                  41,
                  42,
                  43,
                  44,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1
                ],
                "reflection_target": 29,
                "relation": "pair",
                "rotation": 12,
                "word": [
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  5,
                  6,
                  8,
                  9,
                  10,
                  11,
                  13,
                  14,
                  15,
                  16,
                  17,
                  19,
                  20,
                  21,
                  22,
                  24,
                  25,
                  26,
                  27,
                  28,
                  30,
                  31,
                  32,
                  33,
                  34,
                  35,
                  36,
                  37,
                  39,
                  40,
                  41,
                  42,
                  43,
                  45,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2
                ],
                "reflection_target": 28,
                "relation": "pair",
                "rotation": 13,
                "word": [
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  4,
                  6,
                  7,
                  8,
                  9,
                  11,
                  12,
                  13,
                  14,
                  15,
                  17,
                  18,
                  19,
                  20,
                  22,
                  23,
                  24,
                  25,
                  26,
                  28,
                  29,
                  30,
                  31,
                  32,
                  33,
                  34,
                  35,
                  37,
                  38,
                  39,
                  40,
                  41,
                  43,
                  44,
                  45,
                  46
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1
                ],
                "reflection_target": 27,
                "relation": "pair",
                "rotation": 14,
                "word": [
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  5,
                  6,
                  7,
                  8,
                  10,
                  11,
                  12,
                  13,
                  14,
                  16,
                  17,
                  18,
                  19,
                  21,
                  22,
                  23,
                  24,
                  25,
                  27,
                  28,
                  29,
                  30,
                  31,
                  32,
                  33,
                  34,
                  36,
                  37,
                  38,
                  39,
                  40,
                  42,
                  43,
                  44,
                  45,
                  47
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1
                ],
                "reflection_target": 26,
                "relation": "pair",
                "rotation": 15,
                "word": [
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  5,
                  6,
                  7,
                  9,
                  10,
                  11,
                  12,
                  13,
                  15,
                  16,
                  17,
                  18,
                  20,
                  21,
                  22,
                  23,
                  24,
                  26,
                  27,
                  28,
                  29,
                  30,
                  31,
                  32,
                  33,
                  35,
                  36,
                  37,
                  38,
                  39,
                  41,
                  42,
                  43,
                  44,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1
                ],
                "reflection_target": 25,
                "relation": "pair",
                "rotation": 16,
                "word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  5,
                  6,
                  8,
                  9,
                  10,
                  11,
                  12,
                  14,
                  15,
                  16,
                  17,
                  19,
                  20,
                  21,
                  22,
                  23,
                  25,
                  26,
                  27,
                  28,
                  29,
                  30,
                  31,
                  32,
                  34,
                  35,
                  36,
                  37,
                  38,
                  40,
                  41,
                  42,
                  43,
                  45,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1
                ],
                "reflection_target": 24,
                "relation": "pair",
                "rotation": 17,
                "word": [
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  5,
                  7,
                  8,
                  9,
                  10,
                  11,
                  13,
                  14,
                  15,
                  16,
                  18,
                  19,
                  20,
                  21,
                  22,
                  24,
                  25,
                  26,
                  27,
                  28,
                  29,
                  30,
                  31,
                  33,
                  34,
                  35,
                  36,
                  37,
                  39,
                  40,
                  41,
                  42,
                  44,
                  45,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2
                ],
                "reflection_target": 23,
                "relation": "pair",
                "rotation": 18,
                "word": [
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  5,
                  6,
                  7,
                  8,
                  9,
                  11,
                  12,
                  13,
                  14,
                  16,
                  17,
                  18,
                  19,
                  20,
                  22,
                  23,
                  24,
                  25,
                  26,
                  27,
                  28,
                  29,
                  31,
                  32,
                  33,
                  34,
                  35,
                  37,
                  38,
                  39,
                  40,
                  42,
                  43,
                  44,
                  45,
                  46
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1
                ],
                "reflection_target": 22,
                "relation": "pair",
                "rotation": 19,
                "word": [
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  5,
                  6,
                  7,
                  8,
                  10,
                  11,
                  12,
                  13,
                  15,
                  16,
                  17,
                  18,
                  19,
                  21,
                  22,
                  23,
                  24,
                  25,
                  26,
                  27,
                  28,
                  30,
                  31,
                  32,
                  33,
                  34,
                  36,
                  37,
                  38,
                  39,
                  41,
                  42,
                  43,
                  44,
                  45,
                  47
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1
                ],
                "reflection_target": 21,
                "relation": "pair",
                "rotation": 20,
                "word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  5,
                  6,
                  7,
                  9,
                  10,
                  11,
                  12,
                  14,
                  15,
                  16,
                  17,
                  18,
                  20,
                  21,
                  22,
                  23,
                  24,
                  25,
                  26,
                  27,
                  29,
                  30,
                  31,
                  32,
                  33,
                  35,
                  36,
                  37,
                  38,
                  40,
                  41,
                  42,
                  43,
                  44,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1
                ],
                "reflection_target": 20,
                "relation": "pair",
                "rotation": 21,
                "word": [
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  5,
                  6,
                  8,
                  9,
                  10,
                  11,
                  13,
                  14,
                  15,
                  16,
                  17,
                  19,
                  20,
                  21,
                  22,
                  23,
                  24,
                  25,
                  26,
                  28,
                  29,
                  30,
                  31,
                  32,
                  34,
                  35,
                  36,
                  37,
                  39,
                  40,
                  41,
                  42,
                  43,
                  45,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2
                ],
                "reflection_target": 19,
                "relation": "pair",
                "rotation": 22,
                "word": [
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  4,
                  6,
                  7,
                  8,
                  9,
                  11,
                  12,
                  13,
                  14,
                  15,
                  17,
                  18,
                  19,
                  20,
                  21,
                  22,
                  23,
                  24,
                  26,
                  27,
                  28,
                  29,
                  30,
                  32,
                  33,
                  34,
                  35,
                  37,
                  38,
                  39,
                  40,
                  41,
                  43,
                  44,
                  45,
                  46
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1
                ],
                "reflection_target": 18,
                "relation": "pair",
                "rotation": 23,
                "word": [
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  5,
                  6,
                  7,
                  8,
                  10,
                  11,
                  12,
                  13,
                  14,
                  16,
                  17,
                  18,
                  19,
                  20,
                  21,
                  22,
                  23,
                  25,
                  26,
                  27,
                  28,
                  29,
                  31,
                  32,
                  33,
                  34,
                  36,
                  37,
                  38,
                  39,
                  40,
                  42,
                  43,
                  44,
                  45,
                  47
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1
                ],
                "reflection_target": 17,
                "relation": "pair",
                "rotation": 24,
                "word": [
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  5,
                  6,
                  7,
                  9,
                  10,
                  11,
                  12,
                  13,
                  15,
                  16,
                  17,
                  18,
                  19,
                  20,
                  21,
                  22,
                  24,
                  25,
                  26,
                  27,
                  28,
                  30,
                  31,
                  32,
                  33,
                  35,
                  36,
                  37,
                  38,
                  39,
                  41,
                  42,
                  43,
                  44,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1
                ],
                "reflection_target": 16,
                "relation": "pair",
                "rotation": 25,
                "word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  5,
                  6,
                  8,
                  9,
                  10,
                  11,
                  12,
                  14,
                  15,
                  16,
                  17,
                  18,
                  19,
                  20,
                  21,
                  23,
                  24,
                  25,
                  26,
                  27,
                  29,
                  30,
                  31,
                  32,
                  34,
                  35,
                  36,
                  37,
                  38,
                  40,
                  41,
                  42,
                  43,
                  45,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1
                ],
                "reflection_target": 15,
                "relation": "pair",
                "rotation": 26,
                "word": [
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  5,
                  7,
                  8,
                  9,
                  10,
                  11,
                  13,
                  14,
                  15,
                  16,
                  17,
                  18,
                  19,
                  20,
                  22,
                  23,
                  24,
                  25,
                  26,
                  28,
                  29,
                  30,
                  31,
                  33,
                  34,
                  35,
                  36,
                  37,
                  39,
                  40,
                  41,
                  42,
                  44,
                  45,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2
                ],
                "reflection_target": 14,
                "relation": "pair",
                "rotation": 27,
                "word": [
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  5,
                  6,
                  7,
                  8,
                  9,
                  11,
                  12,
                  13,
                  14,
                  15,
                  16,
                  17,
                  18,
                  20,
                  21,
                  22,
                  23,
                  24,
                  26,
                  27,
                  28,
                  29,
                  31,
                  32,
                  33,
                  34,
                  35,
                  37,
                  38,
                  39,
                  40,
                  42,
                  43,
                  44,
                  45,
                  46
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1
                ],
                "reflection_target": 13,
                "relation": "pair",
                "rotation": 28,
                "word": [
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  5,
                  6,
                  7,
                  8,
                  10,
                  11,
                  12,
                  13,
                  14,
                  15,
                  16,
                  17,
                  19,
                  20,
                  21,
                  22,
                  23,
                  25,
                  26,
                  27,
                  28,
                  30,
                  31,
                  32,
                  33,
                  34,
                  36,
                  37,
                  38,
                  39,
                  41,
                  42,
                  43,
                  44,
                  45,
                  47
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1
                ],
                "reflection_target": 12,
                "relation": "pair",
                "rotation": 29,
                "word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  5,
                  6,
                  7,
                  9,
                  10,
                  11,
                  12,
                  13,
                  14,
                  15,
                  16,
                  18,
                  19,
                  20,
                  21,
                  22,
                  24,
                  25,
                  26,
                  27,
                  29,
                  30,
                  31,
                  32,
                  33,
                  35,
                  36,
                  37,
                  38,
                  40,
                  41,
                  42,
                  43,
                  44,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1
                ],
                "reflection_target": 11,
                "relation": "pair",
                "rotation": 30,
                "word": [
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  5,
                  6,
                  8,
                  9,
                  10,
                  11,
                  12,
                  13,
                  14,
                  15,
                  17,
                  18,
                  19,
                  20,
                  21,
                  23,
                  24,
                  25,
                  26,
                  28,
                  29,
                  30,
                  31,
                  32,
                  34,
                  35,
                  36,
                  37,
                  39,
                  40,
                  41,
                  42,
                  43,
                  45,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2
                ],
                "reflection_target": 10,
                "relation": "pair",
                "rotation": 31,
                "word": [
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  4,
                  6,
                  7,
                  8,
                  9,
                  10,
                  11,
                  12,
                  13,
                  15,
                  16,
                  17,
                  18,
                  19,
                  21,
                  22,
                  23,
                  24,
                  26,
                  27,
                  28,
                  29,
                  30,
                  32,
                  33,
                  34,
                  35,
                  37,
                  38,
                  39,
                  40,
                  41,
                  43,
                  44,
                  45,
                  46
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1
                ],
                "reflection_target": 9,
                "relation": "pair",
                "rotation": 32,
                "word": [
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  5,
                  6,
                  7,
                  8,
                  9,
                  10,
                  11,
                  12,
                  14,
                  15,
                  16,
                  17,
                  18,
                  20,
                  21,
                  22,
                  23,
                  25,
                  26,
                  27,
                  28,
                  29,
                  31,
                  32,
                  33,
                  34,
                  36,
                  37,
                  38,
                  39,
                  40,
                  42,
                  43,
                  44,
                  45,
                  47
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1
                ],
                "reflection_target": 8,
                "relation": "pair",
                "rotation": 33,
                "word": [
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  4,
                  5,
                  6,
                  7,
                  8,
                  9,
                  10,
                  11,
                  13,
                  14,
                  15,
                  16,
                  17,
                  19,
                  20,
                  21,
                  22,
                  24,
                  25,
                  26,
                  27,
                  28,
                  30,
                  31,
                  32,
                  33,
                  35,
                  36,
                  37,
                  38,
                  39,
                  41,
                  42,
                  43,
                  44,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1
                ],
                "reflection_target": 7,
                "relation": "pair",
                "rotation": 34,
                "word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  3,
                  4,
                  5,
                  6,
                  7,
                  8,
                  9,
                  10,
                  12,
                  13,
                  14,
                  15,
                  16,
                  18,
                  19,
                  20,
                  21,
                  23,
                  24,
                  25,
                  26,
                  27,
                  29,
                  30,
                  31,
                  32,
                  34,
                  35,
                  36,
                  37,
                  38,
                  40,
                  41,
                  42,
                  43,
                  45,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1
                ],
                "reflection_target": 6,
                "relation": "pair",
                "rotation": 35,
                "word": [
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  2,
                  3,
                  4,
                  5,
                  6,
                  7,
                  8,
                  9,
                  11,
                  12,
                  13,
                  14,
                  15,
                  17,
                  18,
                  19,
                  20,
                  22,
                  23,
                  24,
                  25,
                  26,
                  28,
                  29,
                  30,
                  31,
                  33,
                  34,
                  35,
                  36,
                  37,
                  39,
                  40,
                  41,
                  42,
                  44,
                  45,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2
                ],
                "reflection_target": 5,
                "relation": "pair",
                "rotation": 36,
                "word": [
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  4,
                  5,
                  6,
                  7,
                  9,
                  10,
                  11,
                  12,
                  13,
                  15,
                  16,
                  17,
                  18,
                  20,
                  21,
                  22,
                  23,
                  24,
                  26,
                  27,
                  28,
                  29,
                  31,
                  32,
                  33,
                  34,
                  35,
                  37,
                  38,
                  39,
                  40,
                  42,
                  43,
                  44,
                  45,
                  46
                ],
                "reflected_word": [
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1
                ],
                "reflection_target": 4,
                "relation": "pair",
                "rotation": 37,
                "word": [
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  4,
                  5,
                  6,
                  8,
                  9,
                  10,
                  11,
                  12,
                  14,
                  15,
                  16,
                  17,
                  19,
                  20,
                  21,
                  22,
                  23,
                  25,
                  26,
                  27,
                  28,
                  30,
                  31,
                  32,
                  33,
                  34,
                  36,
                  37,
                  38,
                  39,
                  41,
                  42,
                  43,
                  44,
                  45,
                  47
                ],
                "reflected_word": [
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1
                ],
                "reflection_target": 3,
                "relation": "pair",
                "rotation": 38,
                "word": [
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  4,
                  5,
                  7,
                  8,
                  9,
                  10,
                  11,
                  13,
                  14,
                  15,
                  16,
                  18,
                  19,
                  20,
                  21,
                  22,
                  24,
                  25,
                  26,
                  27,
                  29,
                  30,
                  31,
                  32,
                  33,
                  35,
                  36,
                  37,
                  38,
                  40,
                  41,
                  42,
                  43,
                  44,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  1
                ],
                "reflection_target": 2,
                "relation": "pair",
                "rotation": 39,
                "word": [
                  1,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1
                ]
              },
              {
                "pitch_path": [
                  0,
                  1,
                  2,
                  3,
                  4,
                  6,
                  7,
                  8,
                  9,
                  10,
                  12,
                  13,
                  14,
                  15,
                  17,
                  18,
                  19,
                  20,
                  21,
                  23,
                  24,
                  25,
                  26,
                  28,
                  29,
                  30,
                  31,
                  32,
                  34,
                  35,
                  36,
                  37,
                  39,
                  40,
                  41,
                  42,
                  43,
                  45,
                  46,
                  47
                ],
                "reflected_word": [
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1
                ],
                "reflection_target": 1,
                "relation": "pair",
                "rotation": 40,
                "word": [
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1,
                  1,
                  2,
                  1,
                  1,
                  1
                ]
              }
            ],
            "self_reflections": 0,
            "word": [
              1,
              1,
              1,
              2,
              1,
              1,
              1,
              1,
              2,
              1,
              1,
              1,
              2,
              1,
              1,
              1,
              1,
              2,
              1,
              1,
              1,
              2,
              1,
              1,
              1,
              1,
              2,
              1,
              1,
              1,
              2,
              1,
              1,
              1,
              1,
              2,
              1,
              1,
              1,
              1
            ]
          }
        }
      }
    }
  },
  "schema": "messiaen-radial/messiaen-reflection-classes/v1"
}
