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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
The Mathematical Theory of Tone Systems

The Mathematical Theory of Tone Systems

Haluska, Jan

Paperback

Series: Pure and Applied Mathematics, Book 262

General MathematicsMusic Theory

ISBN10: 0367394707
ISBN13: 9780367394707
Publisher: CRC Press
Published: Sep 5 2019
Pages: 380
Weight: 1.25
Height: 1.00 Width: 6.00 Depth: 8.90
Language: English
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. The author 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, and Ptolemy Systems. Appendices provide extended lists of tone systems and a catalogue of historical organs with subsemitones.

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