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Some Musico-Mathematical Curiosities*

Published online by Cambridge University Press:  03 November 2016

A. L. Leigh Silver
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Extract

“It is proper, in philosophy, to consider the similar, even in things far distant from each Other”—ARISTOTLE.

3-2

About 75 B.C., Cicero the orator, stumbled upon an ancient monument. The lettering was illegible, but ‘on clearing away the brambles and thorns’ he discovered a curious design—a sphere with circumscribed cylinder.

Type
Research Article
Information
The Mathematical Gazette , Volume 48 , Issue 363 , February 1964 , pp. 1 - 17
Copyright
Copyright © Mathematical Association 1964

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Footnotes

*

A lecture to the Mathematics Department, Royal Aircraft Establishment, Farnborough, December 1962.

References

1. Barbour, Murray, “Tuning and Temperament”, Michigan State Press, 1951.Google Scholar
2. Barbour, Murray, “Musical Logarithms”, Scripta Mathematica, Vol III, p. 21, 1940.Google Scholar
3. O’Beirne, T. H., “Puzzles and Paradoxes”, New Scientist, No. 274, 15 Feb., 1962.Google Scholar
4. Silver, A. L. Leigh, “Equal Beating Chromatic Scale”, Journal of the Acoustical Society of America, Vol. 29, No. 4, p. 476–481, April, 1957.Google Scholar
5. Yasser, Joseph, “A Theory of Evolving Tonality”, New York, 1932.Google Scholar
6. SirHawkins, John, “Science & Practice of Music”, Vol. II, p. 615, London, 1875.Google Scholar
7. Ball, W. W. Rouse, “Mathematical Recreations”, (The ‘Hamiltonian Game’), London, 1947.Google Scholar