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Convention Paper

Combinatorial Music Theory

Authors: Duncan, Andrew

AES Convention 89 · Paper 2952 · September 1990

Abstract

Musical patterns may be investigated with the mathematical tools more commonly applied in science and engineering. For example, the cyclic autocorrelation of a musical scale describes its interval content. Fingering patterns on string instruments are embedded in a space with an unusual topology. Ideas from crystallography may be applied to the description of structure-preserving transformations of melodies. These phenomena are explored for the particularly common case of the twelve-note equally-tempered scale.

Details

Published in
AES Convention 89
AES Convention
89
Paper number
2952
Publication date
September 6, 1990
Session subject
MIDI and Electronic Music
Affiliation
Quaternion Consulting, Agoura, CA (See document for exact affiliation information.)
Type
Convention Paper