Musical Scales and Multiplicative Groups

Year: 2018 Authors: Donald Spector

Core claim

Multiplicative groups modulo N provide new compositional transformations and scale-generation tools for conventional, microtonal, and non-octave music.

Topics

musical transformation, multiplicative duality, scale generation, modular arithmetic

Domains

group theory, modular arithmetic, number theory, music composition, music theory, sound design

Methods

Gamma_N inverse pairing, scale relabeling, mode projection

Media

chromatic scale, pentatonic scales, melodic phrases

Source status

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