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A numerical exercise in musical scales

 

作者: George C. Hartmann,  

 

期刊: American Journal of Physics  (AIP Available online 1987)
卷期: Volume 55, issue 3  

页码: 223-226

 

ISSN:0002-9505

 

年代: 1987

 

DOI:10.1119/1.15218

 

出版商: American Association of Physics Teachers

 

关键词: HARMONICS;MUSIC;MUSICAL INSTRUMENTS

 

数据来源: AIP

 

摘要:

This paper investigates why the 12‐note scale, having equal intervals, seems to be the best representation of scales constructed from purely harmonic intervals. Is it possible that other equal temperament scales with more or less than 12 notes would serve just as well? The investigation is done by displaying the difference between a set of harmonic notes and scales with equal intervals havingnnotes per octave. The difference is small whennis equal to 12, but also whennequals 19 and 29. The number density of notes per unit frequency intervals is also investigated.

 

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