Overview
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.
Full Product Details
Author: Emmanuel Amiot
Publisher: Springer International Publishing AG
Imprint: Springer International Publishing AG
Edition: Softcover reprint of the original 1st ed. 2016
Dimensions:
Width: 15.50cm
, Height: 1.20cm
, Length: 23.50cm
Weight: 0.454kg
ISBN: 9783319833231
ISBN 10: 3319833235
Pages: 206
Publication Date: 16 June 2018
Audience:
Professional and scholarly
,
Professional & Vocational
Format: Paperback
Publisher's Status: Active
Availability: Manufactured on demand
We will order this item for you from a manufactured on demand supplier.
Reviews
Amiot's nice book gives the state of the art in the usage of DFT of abstract musical structures such as rhythms, scales, chords, pitch class distributions, and so on. ... This is possibly the first textbook on the topic. ... The target readership includes graduates and advanced undergraduates of computational music science and engineering. Researchers in music should also find it of interest. (Soubhik Chakraborty, Computing Reviews, May, 2017)
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 this fascinating interdisciplinary field. (James Stephan Walker, Mathematical Reviews, June, 2018) Amiot's nice book gives the state of the art in the usage of DFT of abstract musical structures such as rhythms, scales, chords, pitch class distributions, and so on. ... This is possibly the first textbook on the topic. ... The target readership includes graduates and advanced undergraduates of computational music science and engineering. Researchers in music should also find it of interest. (Soubhik Chakraborty, Computing Reviews, May, 2017)
Author Information
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.
