The mathematical theory of tone systems

Ján Haluška

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.

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  • 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 Appendix A: Extended Lists of Tone Systems Appendix B: Catalogue of Historical Organs with Subsemitones, (1468-1721) Index

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書名 The mathematical theory of tone systems
著作者等 Haluska Jan
Haluška Ján
シリーズ名 Monographs and textbooks in pure and applied mathematics
出版元 Marcel Dekker;Ister Science
刊行年月 c2004
ページ数 xxix, 380 p.
大きさ 24 cm
ISBN 0824747143
NCID BA65097464
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言語 英語
出版国 アメリカ合衆国