Related Spectra and Scales

  • William A. Sethares

Abstract

Sensory dissonance is a function of the interval and the spectrum of a sound. A scale and a spectrum are related if the dissonance curve for the spectrum has minima (points of maximum sensory consonance) at the scale steps. This chapter shows how to calculate dissonance curves, and gives examples that verify the perceptual validity of the calculations, and others that demonstrate their limits. The idea of related spectra and scales unifies and gives insight into a number of previous musical and psychoacoustic investigations, and some general properties of dissonance curves are derived. Finally, the idea of the dissonance curve is extended to multiple sounds, each with its own spectrum.

Keywords

Sine Triad Acoustics Tame Koto 

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Copyright information

© Springer-Verlag London 1998

Authors and Affiliations

  • William A. Sethares
    • 1
  1. 1.Department of Electrical and Computer EngineeringUniversity of Wisconsin — MadisonMadisonUSA

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