Emmanuel Amiot: Music Through Fourier Space

Cover: 9783319833231 | Music Through Fourier Space | Emmanuel Amiot | Taschenbuch | xv | 2018

Rückseite: 9783319833231 | Music Through Fourier Space | Emmanuel Amiot | Taschenbuch | xv | 2018

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Sprache: Englisch

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Beschreibung

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.

Über den Autor

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.

Zusammenfassung

First textbook dedicated to this subject

Supported throughout with examples and exercises, and online supplementary material

Suitable also for practitioners

Includes supplementary material: [...]

Inhaltsverzeichnis

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.

Details

Erscheinungsjahr:	2018
Genre:	Allgemeine Lexika , Geisteswissenschaften , Kunst , Musik
Rubrik:	Literaturwissenschaft
Medium:	Taschenbuch
Reihe:	Computational Music Science
Inhalt:	xv 206 S. 84 s/w Illustr. 45 farbige Illustr. 206 p. 129 illus. 45 illus. in color.
ISBN-13:	9783319833231
ISBN-10:	3319833235
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Amiot, Emmanuel
Auflage:	Softcover reprint of the original 1st edition 2016
Hersteller:	Springer Springer International Publishing AG Computational Music Science
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	235 x 155 x 13 mm
Von/Mit:	Emmanuel Amiot
Erscheinungsdatum:	16.06.2018
Gewicht:	0,347 kg