The Mathematical Theory of Tone Systems

Forsideomslag
CRC Press, 19. dec. 2003 - 380 sider
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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Indhold

Tone systems and uncertainty theory
3
Fuzziness and sonance
27
Wavelets and nonspecificity
39
Pitch granulation and ambiguity
57
Equal temperaments
75
Mean tone systems
117
Well tempered systems
175
Ptolemy System
261
Appendices
319
B Historical organs with subsemitones 14681721
369
Copyright

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Om forfatteren (2003)

Jan Haluska is Senior Research Fellow at the Mathematical Institute, Slovak Academy of Sciences, Bratislava, Slovakia, and Professor of Mathematics, Zilina University, Slovakia

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