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The phenomenon of identification through tolerance; the prejudging of the exact scale

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The phenomenon of tolerance is well-known notably in relation to the scale of fifths for it allows the shortening of intervals to make 12 fifths coincide with the entire number of octaves. Its different aspects however merit a full discussion. One distinguishes in this work the objective frequency from the theoretical frequency, whose harmonic function is discussed; the problem of the exact scale and of the incidence of tolerance is subsequently dealt with under this aspect; the effect of the 7th minor and of the admissibility for the functioning of the seventh dominant, of the intervals 21/8 and 27/10. A third aspect arises through the phenomenon of identification by tolerance of two intervals corresponding to the same given note.
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Document Type: Research Article

Publication date: September 1, 1971

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  • 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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