The Hexachordal Theorem: A Mathematical Look at Interval Relations in Twelve-Tone Composition

by Steven K. Blau (Ripon College)

This article originally appeared in:
Mathematics Magazine
October, 1999

Subject classification(s): Discrete Mathematics | Combinatorics
Applicable Course(s): 4.4 Combinatorics

A combinatorial result about difference sets is interpreted in the musical setting, and proved by elementary means.

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