Maximally Even Sets

Year: 2000 Authors: Richard Krantz; Jack Douthett; John Clough

Core claim

Maximally even sets can be characterized by average chord length, spectra, and recursive construction, linking musical structure with physics and combinatorial ordering.

Topics

maximal evenness, pitch-class sets, average chord length, spectra, Bohlen-Pierce scale

Domains

combinatorics, geometry, number theory, mathematical music theory, music theory, sound design, visualization, education

Methods

circle-point arrangements, chord-length averaging, spectral analysis, iterative construction

Media

unit circle, pitch-class diagrams, seating arrangement figures, musical scales

Source status

This page publishes metadata and extracted analytical signals only. Raw PDF and full OCR text are kept local for now.