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Residue pitch and beats as heard in a musical context

 

作者: John R. Pierce,  

 

期刊: The Journal of the Acoustical Society of America  (AIP Available online 1986)
卷期: Volume 80, issue S1  

页码: 86-86

 

ISSN:0001-4966

 

年代: 1986

 

DOI:10.1121/1.2024010

 

出版商: Acoustical Society of America

 

数据来源: AIP

 

摘要:

Published residue pitch measurements give the pitch of the missing fundamental for tones consisting of three, and even two, successive harmonics over a wide range of harmonic numbers and frequencies. Presentations closer to a musical context give other results. Scales spanning an octave played with two and three sinusoidal components of constant frequency difference sound like steadily ascending scales. The last tone (frequency ratio 3:2 or 4:3:2) sounds higher in pitch than the first (frequency ratio 2:1 or 3:2:1) when played immediately after it. Other examples contrast the first 6 equal‐amplitude harmonic partials with tones consisting of the upper 2, 3, 4, and 5 harmonics. These latter tones do not match the pitch of the 6‐partial tone when the literature says they should. Tunes and scales were played with tones with two sinusoidal components spaced by the pitch frequency. The tune or scale is heard only at high levels, and “in the ear,” not coming from the speakers. Can there be pitch without place? Reported residue pitches do not correspond to pitches heard in a musical context.

 

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