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From Tuning to Spectrum

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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.

Keywords

Constrain Optimization Problem Scale Interval Harmonic Spectrum Simple Scale Scale Step 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag London 1998

Authors and Affiliations

  1. 1.Department of Electrical and Computer EngineeringUniversity of Wisconsin — MadisonMadisonUSA

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