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Perception of Timbral Analogies

David Ehresman and David Wessel

Rapport Ircam 13/78, 1978
Copyright © Ircam - Centre Georges-Pompidou 1978


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Abstract

Dissimilarity judgments of 15 synthesized naturalistic instrument tones of differing timbre were analyzed using the multidimensional scaling program, INDSCAL. In a two dimensional solution one axis was related to the distribution of energy in the time averaged spectrum and the other to characteristics of the temporal evolution of the components. This timbre space was on the whole consistent with those obtained in earlier studies. The space was used in a test of four models of timbre analogies. Forty multiple-choice timbre analogies of the form A is to B as C is to D1, D2, D3, or D4 were solved by listeners. A two dimensional parallelogram model best predicted subjects' responses in the analogy task. This model assumes that if the components of an analogy are embedded in a multidimensional space, then there is some ideal point in that space which completes a parallelogram given the firs three components of the analogy. The model predicts that, in the multiple-choice analogy task, the alternative which is closest to the ideal analogy point will be chosen as the best solution to the analogy. The results of the analogy experiment appear to support this prediction.

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