The Mathematical Theory of Tone Systems

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 exa

Tone Systems and Uncertainty Theory. Fuzziness and Sonance. Wavelets and Nonspecificity. Pitch Granulation and Ambiguity. Equal Temperaments. Mean Tone Systems. Well Tempered Systems. 12 and 10 Granulations. Ptolemy System. Bibliography.