The Mathematical Theory of Tone Systems

1st Edition

Jan Haluska

CRC Press
Published December 19, 2003
Reference - 380 Pages
ISBN 9780824747145 - CAT# DK2907
Series: Chapman & Hall/CRC Pure and Applied Mathematics

USD$290.00

Add to Wish List
FREE Standard Shipping!

Summary

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.