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

Amiot, Emmanuel

 
9783319833231: Music Through Fourier Space: Discrete Fourier Transform in Music Theory (Computational Music Science)
Softcover
ISBN 10: 3319833235 ISBN 13: 9783319833231
Publisher: Springer, 2018

Synopsis

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.

"synopsis" may belong to another edition of this title.

About the Author

Emmanuel Amiot teaches mathematics at the Lycée François Arago in Perpignan, he is a researcher in the Laboratoire de Mathématiques et Physique (LAMPS) of Université de Perpignan Via Domitia, and he is a regular collaborator with researchers at the Institut de Recherche et Coordination Acoustique/Musique (IRCAM), Paris. He is a pioneer of the techniques described in this textbook, with considerable research and teaching experience in the related areas, geometry, topology, and applied mathematics.

From the Back Cover

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.

"About this title" may belong to another edition of this title.

Publisher
Springer
Publication date
2018
Language
English
ISBN 10 
3319833235
ISBN 13 
9783319833231
Binding
Paperback
Number of pages
221

Other Popular Editions of the Same Title

9783319455808: Music Through Fourier Space: Discrete Fourier Transform in Music Theory (Computational Music Science)

Featured Edition

ISBN 10:  331945580X ISBN 13:  9783319455808
Publisher: Springer, 2016
Hardcover