Musical Scales, Integer Partitions, Necklaces, and Polygons

Year: 2006 Authors: David Rappaport

Core claim

A combinatorial-geometric construction from integer partitions identifies seven-note scales that maximize sum-of-distances criteria on discrete circles.

Topics

combinatorial music theory, integer partitions, necklaces and bracelets, maximal polygons

Domains

combinatorics, discrete geometry, graphical distance optimization, partition theory, music, visualization

Methods

enumeration, geometric realization, distance maximization, discrete circle model

Media

chromatic sequence, unit circle, 12-gon, 24-gon, 36-gon

Source status

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