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Music through Fourier spacediscrete ...

Amiot, Emmanuel.

Music through Fourier spacediscrete Fourier transform in music theory /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Music through Fourier spaceby Emmanuel Amiot.
其他題名:	discrete Fourier transform in music theory /
作者:	Amiot, Emmanuel.
出版者:	Cham :Springer International Publishing :2016.
面頁冊數:	xv, 206 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer eBooks
標題:	MusicMathematics.
電子資源:	http://dx.doi.org/10.1007/978-3-319-45581-5
ISBN:	9783319455815$q(electronic bk.)

Music through Fourier spacediscrete Fourier transform in music theory /
Amiot, Emmanuel.

Music through Fourier spacediscrete Fourier transform in music theory /[electronic resource] :by Emmanuel Amiot. - Cham :Springer International Publishing :2016. - xv, 206 p. :ill. (some col.), digital ;24 cm. - Computational music science,1868-0305. - Computational music science..

Discrete Fourier Transform of Distributions -- Homometry and the Phase Retrieval Problem -- Nil Fourier Coefficients and Tilings -- Saliency -- Continuous Spaces, Continuous Fourier Transform -- Phases of Fourier Coefficients.

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.

ISBN: 9783319455815$q(electronic bk.)

Standard No.: 10.1007/978-3-319-45581-5doiSubjects--Topical Terms:

737289
Music
--Mathematics.

LC Class. No.: ML3800

Dewey Class. No.: 780.0519

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