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Some combinatorial aspects of the musical chords

Published online by Cambridge University Press:  22 September 2016

Derek A. Waller
Derek A. Waller*
Affiliation:
Department of Pure Mathematics, University College of Swansea, Swansea SA2 8PP
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Extract

Group theory has been used in the study of various properties of musical scales. The cyclic group C12 provides a mathematical model for the tempered intervals (see for example Budden [1] Chapter 23, where the diminished seventh chords are shown to correspond to an appropriate subgroup of C12 and its cosets).

Type
Research Article
Information
The Mathematical Gazette , Volume 62 , Issue 419 , March 1978 , pp. 12 - 15
Copyright
Copyright © Mathematical Association 1978

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References

1. Budden, F. J., The fascination of groups. Cambridge University Press (1972).Google Scholar
2. Scholes, P. A., The Oxford companion to music (9th edition). Oxford University Press (1955).Google Scholar
3. Wilson, R. J., Introduction to graph theory. Oliver and Boyd (1972).Google Scholar