Music Through Fourier Space - Discrete Fourier Transform in Music Theory (Hardcover, 1st ed. 2016)

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.

General

Imprint:	Springer International Publishing AG
Country of origin:	Switzerland
Series:	Computational Music Science
Release date:	October 2016
First published:	2016
Authors:	Emmanuel Amiot
Dimensions:	235 x 155 x 14mm (L x W x T)
Format:	Hardcover
Pages:	206
Edition:	1st ed. 2016
ISBN-13:	978-3-319-45580-8
Categories:	Books > Arts & Architecture > Music > Theory of music & musicology > General Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis Books > Music > Theory of music & musicology > General
LSN:	3-319-45580-X
Barcode:	9783319455808

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