Tonal consonance and critical bandwidth.

  title={Tonal consonance and critical bandwidth.},
  author={R. Plomp and Willem J. M. Levelt},
  journal={The Journal of the Acoustical Society of America},
  volume={38 4},
  • R. Plomp, W. Levelt
  • Published 1 October 1965
  • Physics
  • The Journal of the Acoustical Society of America
Firstly, theories are reviewed on the explanation of tonal consonance as the singular nature of tone intervals with frequency ratios corresponding with small integer numbers. An evaluation of these explanations in the light of some experimental studies supports the hypothesis, as promoted by von Helmholtz, that the difference between consonant and dissonant intervals is related to beats of adjacent partials. This relation was studied more fully by experiments in which subjects had to judge… 

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  • 1907

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