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Music Through Fourier Space - Discrete Fourier Transform in Music Theory (Paperback, Softcover reprint of the original 1st ed. 2016)
Loot Price: R1,559
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Music Through Fourier Space - Discrete Fourier Transform in Music Theory (Paperback, Softcover reprint of the original 1st ed. 2016)
Series: Computational Music Science
Expected to ship within 10 - 15 working days
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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.
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