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The Mathematical Theory of Tone Systems
Contributor(s): Haluska, Jan (Author)
ISBN: 0367394707     ISBN-13: 9780367394707
Publisher: CRC Press
OUR PRICE:   $78.84  
Product Type: Paperback - Other Formats
Published: September 2019
Qty:
Additional Information
BISAC Categories:
- Mathematics | Applied
Dewey: 414.6
Series: Pure and Applied Mathematics
Physical Information: 1" H x 6" W x 8.9" (1.25 lbs) 380 pages
 
Descriptions, Reviews, Etc.
Publisher Description:

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.