Mathematical Theory of Tone Systems

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A01=Jan Haluska
advanced acoustics research
Author_Jan Haluska
Category=PB
Diatonic Scales
Diatonic Semitone
Dorian Mode
Elementary Tones
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Equal Temperament
frequency domain modeling
historical tuning systems
Information Granulation
Instantaneous Frequency
M Ark 1
mathematical modeling of musical scales
Mbira Dza Vadzimu
music theory analysis
Musical Intervals
Octave Equivalency
Partial Tones
Pseudodifferential Calculus
Pythagorean Comma
Pythagorean System
Split Keys
Superparticular Ratios
Syntonic Comma
Ta Te
Time Frequency Atoms
Time Frequency Plane
Tone Systems
uncertainty principles in acoustics
Vice Versa
wavelet applications in music
Weyl Symbol
Wigner Ville Transform

Product details

  • ISBN 9780824747145
  • Weight: 130g
  • Dimensions: 152 x 229mm
  • Publication Date: 19 Dec 2003
  • Publisher: Taylor & Francis Inc
  • Publication City/Country: US
  • Product Form: Hardback
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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 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.
Haluska, Jan

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