The Mathematical Theory of Tone Systems: 262 (Pure and Applied Mathematics) - Softcover

Haluska, Jan

Softcover

ISBN 10: 0367394707 ISBN 13: 9780367394707

Publisher: CRC Press, 2019

Synopsis

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.

About this title

About the Author

Haluska, Jan

From the Back Cover

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.

Edition details

• Publisher: CRC Press
• Publication date: 2019
• Language: English
• ISBN 10: 0367394707
• ISBN 13: 9780367394707
• Binding: Paperback
• Edition number: 1
• Number of pages: 380