Description

Book Synopsis
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.

The Mathematical Theory of Tone Systems 262

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    A Hardback by Jan Haluska

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      View other formats and editions of The Mathematical Theory of Tone Systems 262 by Jan Haluska

      Publisher: Taylor & Francis Inc
      Publication Date: Publication Date: 19/12/2003
      ISBN13: 9780824747145, 978-0824747145
      ISBN10: 0824747143

      Description

      Book Synopsis
      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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