Polyrhythmic Melodies with Strange Attraction

Year: 2025 Authors: Kiki Eco; Jordan Schettler; Kaleb So

Core claim

Non-integer augmentation ratios can generate self-similar melodies that produce polyrhythms and attract pseudo-random melodic evolution toward stable structure.

Topics

self-similar melodies, polyrhythm, strange attractor, musical symmetry

Domains

frieze groups, modular arithmetic, self-similarity, dynamical systems, music composition, sound art, visualization, mathematical music

Methods

sequence encoding, augmentation ratio, orbit analysis, Mathematica plotting

Media

audio files, melodic sequences, Mathematica, keyboard pitch labels

Source status

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