Music Through Fourier Space Discrete Fourier Transform in Music Theory

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, salienc...

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Bibliographic Details
Main Author: Amiot, Emmanuel
Format: eBook
Language:English
Published: Cham Springer International Publishing 2016, 2016
Edition:1st ed. 2016
Series:Computational Music Science
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • 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