Abstract
Plomp and Steeneken recently published results on the effect of phase on the timbre of complex tones consisting of 10 harmonically related frequency components [J. Acoust. Soc. Amer. 46, 409–421 (1969)]. The (rank order) similarity judgments obtained in triadic comparisons by eight subjects were represented geometrically in a multidimensional space using Kruskal's monotonic scaling procedure. In order to understand the observed effects of phase on timbre, it is assumed that the ear can detect in these comparison tests differences in the degree of amplitude modulation of all triplets of adjacent frequency components falling into the same critical band. Each 10-tone complex is thus characterized by eight amplitude modulation indices (corresponding to the harmonic triplets 1,2,3; 2,3,4; 3,4,5; ⋯; 8,9,10). The Euclidean distances between two stimuli in this multidimensional “modulation space” are found to correlate well with the Euclidean distances in the perceptual space based on the similarity judgments.
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