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Music Through Fourier Space: Discrete Fourier Transform in Music Theory (Computational Music Science)

 Music Through Fourier Space: Discrete Fourier Transform in Music Theory (Computational Music Science) PDF Text fb2 book

Description

Series: Computational Music Science
Hardcover: 206 pages
Publisher: Springer; 1st ed. 2016 edition (October 26, 2016)
Language: English
ISBN-10: 9783319455808
ISBN-13: 978-3319455808
ASIN: 331945580X
Product Dimensions: 6.1 x 0.6 x 9.2 inches
Amazon Rank: 2672186
Format: PDF Text djvu ebook

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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 te...

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