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Finite Patterns
IntroductionWhat Is Symmetry?Historical ContextIntervals and Pitch-Class SetsTransposition LimitsApplications in CompositionMessiaen: The SystematizerMode 1: The Whole-Tone ScaleMode 2: The Octatonic ScaleMode 3Mode 4Mode 5Mode 6Mode 7Beyond MessiaenSlonimsky: The CatalogerInterpolation and InfrapolationTritone ProgressionDitone ProgressionSesquitone ProgressionWhole-Tone PatternsSemitone ProgressionMulti-Octave ProgressionsInterval CyclesApplications in ImprovisationSynthesis
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Interpolation and InfrapolationDitone Progression
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