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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.
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
Informazioni sull?autore
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.
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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.
Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.
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Music Through Fourier Space: Discrete Fourier Transform in Music Theory (Computational Music Science)
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Music Through Fourier Space : Discrete Fourier Transform in Music Theory
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Springer International Publishing AG, 2016
ISBN 10: 331945580X
ISBN 13: 9783319455808
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Music Through Fourier Space : Discrete Fourier Transform in Music Theory
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Music Through Fourier Space. Discrete Fourier Transform in Music Theory.
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Hardback. Condizione: As New. Series: Computational Music Science. xv 206p hardback, blue and yellow laminated boards, like new condition, no noticeable wear, tight binding pages clean and neat, colour and b&w diagrams throughout, an excellent copy with no sign of use Language: English Weight (g): 4616. Codice articolo 233728
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Music Through Fourier Space : Discrete Fourier Transform in Music Theory
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Music Through Fourier Space
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Springer International Publishing, 2016
ISBN 10: 331945580X
ISBN 13: 9783319455808
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Music Through Fourier Space : Discrete Fourier Transform in Music Theory
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Music Through Fourier Space
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Buch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 224 pp. Englisch. Codice articolo 9783319455808
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Music Through Fourier Space : Discrete Fourier Transform in Music Theory
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Springer International Publishing, 2016
ISBN 10: 331945580X
ISBN 13: 9783319455808
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Buch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Codice articolo 9783319455808
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