Математическая теория тоновых систем / Халуска.

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The mathematical theory of tone systems / Ján Haluška.

New York : Marcel Dekker ; Bratislava : Ister Science Ltd., cop. 2004.

Opis fizyczny  XXIX, [1], 380 s. : il. ; 24 cm.

Seria  Monographs and Textbooks in Pure and Applied Mathematics ; 262

Temat  Tonalność -- matematyka.

ISBN  0824747143 ;  8088683289

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The Mathematical Theory of Tone Systems patterns a unified theory defining the tone system in functional terms based on the principles and forms of uncertainty theory. This title uses geometrical nets and other measures to study all classes of used and theoretical tone systems, from Pythagorean tuning to superparticular pentatonics. Hundreds of examples of past and prevalent tone systems are featured. Topics include Fuzziness and Sonance, Wavelets and Nonspecificity, Pitch Granulation and Ambiguity, Equal Temperaments, Mean Tone Systems.

Well Tempered Systems, Ptolemy Systems, and more. Appendices include extended lists of tone systems and a catalogue of historical organs with subsemitones.