{"product_id":"the-mathematical-theory-of-tone-systems-262-chapman-hallcrc-pure-and-applied-mathematics-9780824747145","title":"The Mathematical Theory of Tone Systems 262","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThe 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.  \u003cbr\u003eWell Tempered Systems, Ptolemy Systems, and more. Appendices include extended lists of tone systems and a catalogue of historical organs with subsemitones.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eTone Systems and Uncertainty Theory. Fuzziness and Sonance. Wavelets and Nonspecificity. Pitch Granulation and Ambiguity. Equal Temperaments. \u003cbr\u003eMean Tone Systems. Well Tempered Systems. 12 and 10 Granulations. Ptolemy System. Bibliography. \u003c\/p\u003e","brand":"Taylor \u0026 Francis Inc","offers":[{"title":"Default Title","offer_id":49406177575255,"sku":"9780824747145","price":237.5,"currency_code":"GBP","in_stock":false}],"url":"https:\/\/bookcurl.com\/products\/the-mathematical-theory-of-tone-systems-262-chapman-hallcrc-pure-and-applied-mathematics-9780824747145","provider":"Book Curl","version":"1.0","type":"link"}