The Music and Mathematics of Maximal Evenness in Graphs

Year: 2024 Authors: Neal Bushaw; Brent Cody; Luke Freeman; Tobias Whitaker

Core claim

A physics-inspired energy measure generalizes maximal evenness to finite simple connected graphs while matching the classical cycle case.

Topics

maximal evenness, graph theory, music theory, majorization, electric potential energy

Domains

graph theory, majorization, discrete mathematics, mathematical physics, music theory, rhythm, ethnomusicology

Methods

J-representations, distance sums, potential energy model, graph generalization

Media

graphs, musical rhythms, pitch-class sets

Source status

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