Direct Estimation of Multidimensional Tonal Dissimilarity
作者:
Thomas Carvellas,
Bruce Schneider,
期刊:
The Journal of the Acoustical Society of America
(AIP Available online 1972)
卷期:
Volume 51,
issue 6B
页码: 1839-1848
ISSN:0001-4966
年代: 1972
DOI:10.1121/1.1913042
出版商: Acoustical Society of America
数据来源: AIP
摘要:
Magnitude estimates were obtained for the dissimilarity of pure tones varying in frequency and intensity. In Expt. 1, a spatial embedding for a set of seven tones was determined by assuming the magnitude estimates represented distances in a two‐dimensional space whose coordinate axes were pitch and loudness. Embeddings were determined for both Euclidean and “city‐block” distance functions. A linear relation was consistently observed between the projections of the tones on dimensions of pitch and loudness and their values on Stevens's mel and sone scales, with the city‐block projections usually yielding higher correlations. In Expt. 2, 11 tones were used and the magnitude estimates of dissimilarity were compared to the tightly constrained “monotone” distances derived from the rank‐order properties of the dissimilarities. The agreement observed between the magnitude estimates and the monotone predicted distances strongly supports a distance interpretation for the dissimilarities.
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