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Combinatorial Music Theory

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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.

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JAES Volume 39 Issue 6 pp. 427-448; June 1991
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Permalink: http://www.aes.org/e-lib/browse.cfm?elib=5978

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