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Titlebook: Music Through Fourier Space; Discrete Fourier Tra Emmanuel Amiot Textbook 2016 Springer International Publishing Switzerland 2016 Discrete

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書目名稱Music Through Fourier Space
副標(biāo)題Discrete Fourier Tra
編輯Emmanuel Amiot
視頻videohttp://file.papertrans.cn/642/641490/641490.mp4
概述First textbook dedicated to this subject.Supported throughout with examples and exercises, and online supplementary material.Suitable also for practitioners.Includes supplementary material:
叢書名稱Computational Music Science
圖書封面Titlebook: Music Through Fourier Space; Discrete Fourier Tra Emmanuel Amiot Textbook 2016 Springer International Publishing Switzerland 2016 Discrete
描述This 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. . . 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.
出版日期Textbook 2016
關(guān)鍵詞Discrete Fourier Transform (DFT); Music Theory; Cyclic Groups; Tiling; Homometry; Saliency
版次1
doihttps://doi.org/10.1007/978-3-319-45581-5
isbn_softcover978-3-319-83323-1
isbn_ebook978-3-319-45581-5Series ISSN 1868-0305 Series E-ISSN 1868-0313
issn_series 1868-0305
copyrightSpringer International Publishing Switzerland 2016
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978-3-319-83323-1Springer International Publishing Switzerland 2016
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Textbook 2016uate 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.
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Textbook 2016lar 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. . . This is the fir
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