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Music through Fourier space[electronic resource] :discrete Fourier transform in music theory /

紀錄類型:	書目-電子資源 : Monograph/item
杜威分類號:	780.0519
書名/作者:	Music through Fourier space : discrete Fourier transform in music theory // by Emmanuel Amiot.
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:	Computer science.
標題:	Music.
標題:	Computer science - Mathematics.
標題:	Application software.
標題:	Mathematics.
標題:	Computer Science.
標題:	Computer Appl. in Arts and Humanities.
標題:	Mathematics in Music.
標題:	Mathematics of Computing.
標題:	User Interfaces and Human Computer Interaction.
標題:	Signal, Image and Speech Processing.
標題:	Music - Mathematics.
標題:	Fourier transformations.
ISBN:	9783319455815
ISBN:	9783319455808
內容註:	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.
摘要、提要註:	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.
電子資源:	http://dx.doi.org/10.1007/978-3-319-45581-5

Music through Fourier space[electronic resource] :discrete 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

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

182962
Computer science.

LC Class. No.: ML3800

Dewey Class. No.: 780.0519

Music through Fourier space[electronic resource] :discrete Fourier transform in music theory /
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