Music, Mathematics, and Magnetic Ordering

Year: 1999 Authors: Richard Krantz; Jack Douthett; John Clough

Core claim

Mathematical tools from maximally even set theory unify musical, extra-musical, and magnetic-ordering problems under a shared interval-based framework.

Topics

maximally even sets, circular distributions, Ising model, magnetic ordering, music theory

Domains

combinatorics, discrete mathematics, mathematical physics, interval analysis, music theory, sound structure, visual patterning

Methods

interval counting, recursive definition, periodic boundary conditions, spin configuration analysis

Media

12-note equal-tempered scale, round table seating, one-dimensional lattice, piano keyboard

Source status

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