Musical octaves and pitch
作者:
J. E. F. Sundberg,
J. Lindqvist,
期刊:
The Journal of the Acoustical Society of America
(AIP Available online 1973)
卷期:
Volume 54,
issue 4
页码: 922-929
ISSN:0001-4966
年代: 1973
DOI:10.1121/1.1914347
出版商: Acoustical Society of America
数据来源: AIP
摘要:
In certain types of musical performances systematic deviations from the frequencies of the equally tempered scale have been observed. In such scales the octave interval exceeds a 2:1 frequency ratio slightly. Experiments were carried out in which musically trained subjects matched the upper octave of a reference tone with a subsequent variable tone. Both signals were complex tones. The results show that (1) generally the physical size of the perceptually pure musical octave, briefly the physical musical octave (PMO), exceeds a 2:1 frequency ratio also when complex tones are used, and (2) the PMO is intensity dependent. This intensity dependence can be explained as a consequence of a pitch‐intensity dependence in complex tones. A stretched scale derived from the experimentally established average PMO at different frequencies shows striking similarities with the stretched scales observed in musical performances.
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