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The Mathematical Theory of Tone Systems

Udgivet af Taylor & Francis Ltd

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  • Hæftet
  • 380 sider
  • Engelsk
ISBN 9780367394707
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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 superparticula…

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Bogdetaljer
Forfatter Jan Haluska
Forlag Taylor & Francis Ltd
Kategori Matematik
ISBN-13 9780367394707
EAN 9780367394707
Format Hæftet
Sprog Engelsk
sider 380
Produktbeskrivelse
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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