{"product_id":"9783319833231","title":"Computational Music Science: Discrete Fourier Transform in Music Theory","description":"\u003ch1\u003eComputational Music Science: Discrete Fourier Transform in Music Theory\u003c\/h1\u003e \u003ch2\u003eAmiot, Emmanuel\u003c\/h2\u003e \u003cp\u003eThis book explains the state of the art in the use of the discrete Fourier transform (DFT) of musical structures such as rhythms or scales. In particular the author explains the DFT of pitch-class distributions, homometry and the phase retrieval problem, nil Fourier coefficients and tilings, saliency, extrapolation to the continuous Fourier transform and continuous spaces, and the meaning of the phases of Fourier coefficients. \u003cbr\u003e \u003cbr\u003e This is the first textbook dedicated to this subject, and with supporting examples and exercises this is suitable for researchers and advanced undergraduate and graduate students of music, computer science and engineering. The author has made online supplementary material available, and the book is also suitable for practitioners who want to learn about techniques for understanding musical notions and who want to gain musical insights into mathematical problems.\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2018-06-16\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9783319833231\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-319-45581-5\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 206\u003c\/p\u003e ","brand":"Springer International Publishing","offers":[{"title":"Default Title","offer_id":45382794182796,"sku":"9783319833231","price":49.49,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783319833231.jpg?v=1775762350","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9783319833231","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}