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Music Through Fourier Space: Discrete Fourier Transform in Music Theory
Emmanuel Amiot
€ 96.35
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Description for Music Through Fourier Space: Discrete Fourier Transform in Music Theory
Hardback. Series: Computational Music Science. Num Pages: 221 pages, 84 black & white illustrations, 45 colour illustrations, 53 colour tables, biography. BIC Classification: AVA; PBKF. Category: (P) Professional & Vocational. Dimension: 235 x 155 x 14. Weight in Grams: 502.
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 ... Read more
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 ... Read more
Product Details
Format
Hardback
Publication date
2016
Publisher
Springer International Publishing AG
Condition
New
Series
Computational Music Science
Number of Pages
206
Place of Publication
Cham, Switzerland
ISBN
9783319455808
SKU
V9783319455808
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
About Emmanuel Amiot
Emmanuel Amiot teaches mathematics at the Lycee Francois Arago in Perpignan, he is a researcher in the Laboratoire de Mathematiques et Physique (LAMPS) of Universite 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 ... Read more
Reviews for Music Through Fourier Space: Discrete Fourier Transform in Music Theory
This book is a short exposition of important material in the field of mathematics and music. It describes a number of topics to which Amiot has contributed significant research. ... This book should prove to be a real delight for aficionados of mathematics and music. It contains a wealth of important material and is certain to drive further investigations in ... Read more