Abstract
The related scale for a given spectrum is found by drawing the dissonance curve and locating the minima. The complementary problem of finding a spectrum for a given scale is not as simple, since there is no single “best” spectrum for a given scale. But it is often possible to find “locally best” spectra which can be specified as the solution to a certain constrained optimization problem. For some kinds of scales, such as n-tet, properties of the dissonance curves can be exploited to directly solve the problem. A general “symbolic method” for constructing related spectra works well for scales built from a small number of successive intervals.
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© 1998 Springer-Verlag London
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Sethares, W.A. (1998). From Tuning to Spectrum. In: Tuning, Timbre, Spectrum, Scale. Springer, London. https://doi.org/10.1007/978-1-4471-4177-8_10
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DOI: https://doi.org/10.1007/978-1-4471-4177-8_10
Publisher Name: Springer, London
Print ISBN: 978-1-4471-4176-1
Online ISBN: 978-1-4471-4177-8
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