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Modeling and Measuring of the Oriental Musical Scale

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Abstract:

After a brief survey of the western system, we present a study of the oriental musical scale, based on the (diatonic) models built by European mathematicians. The main feature being the presence of the three-quarter-tone interval or medium third, we explain why a modeling by an equal-tempered scale of 24 quarter-tones of exactly 50 cents is not suitable. Our model starts with a combination of equal and pythagorean scales, displayed as a series of whole-tone and ¾-tone intervals. Practical music performance on lute and violin, when measured, show current pitches higher than equal-tempered theory would suggest. Some empirical adjustments of about 15 cents were needed to reach these practical pitches. Checking of some of the most common oriental keyboards proves that their ¾-tones are not in good accordance with real performance.

Document Type: Research Article

Publication date: September 1, 2006

More about this publication?
  • Acta Acustica united with Acustica, published together with the European Acoustics Association (EAA), is an international, peer-reviewed journal on acoustics. It publishes original articles on all subjects in the field of acoustics, such as general linear acoustics, nonlinear acoustics, macrosonics, flow acoustics, atmospheric sound, underwater sound, ultrasonics, physical acoustics, structural acoustics, noise control, active control, environmental noise, building acoustics, room acoustics, acoustic materials, acoustic signal processing, computational and numerical acoustics, hearing, audiology and psychoacoustics, speech, musical acoustics, electroacoustics, auditory quality of systems. It reports on original scientific research in acoustics and on engineering applications. The journal considers scientific papers, technical and applied papers, book reviews, short communications, doctoral thesis abstracts, etc. In irregular intervals also special issues and review articles are published.
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