Music Through Fourier Space Discrete Fourier Transform in Music Theory /

• Main Author: Amiot, Emmanuel (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2016.
• Series: Computational Music Science,
• Subjects: Computer science.; Music.; Computer science > Mathematics.; User interfaces (Computer systems).; Application software.; Mathematics.; Computer Science.; Computer Appl. in Arts and Humanities.; Mathematics in Music.; Mathematics of Computing.; User Interfaces and Human Computer Interaction.; Signal, Image and Speech Processing.

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...

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.