The Mathematical Theory of Tone Systems  book cover
1st Edition

The Mathematical Theory of Tone Systems

ISBN 9780367394707
Published September 5, 2019 by CRC Press
380 Pages

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Book Description

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.

Table of Contents

Tone Systems and Uncertainty Theory. Fuzziness and Sonance. Wavelets and Nonspecificity. Pitch Granulation and Ambiguity. Equal Temperaments.
Mean Tone Systems. Well Tempered Systems. 12 and 10 Granulations. Ptolemy System. Bibliography.

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Haluska, Jan