TY  - BOOK
AU  - Amiot,Emmanuel
ED  - SpringerLink (Online service)
TI  - Music Through Fourier Space: Discrete Fourier Transform in Music Theory 
T2  - Computational Music Science,
SN  - 9783319455815
AV  - NX260 
U1  - 004 23
PY  - 2016///
CY  - Cham
PB  - Springer International Publishing, Imprint: Springer
KW  - Computer science
KW  - Music
KW  - Mathematics
KW  - User interfaces (Computer systems)
KW  - Application software
KW  - Computer Science
KW  - Computer Appl. in Arts and Humanities
KW  - Mathematics in Music
KW  - Mathematics of Computing
KW  - User Interfaces and Human Computer Interaction
KW  - Signal, Image and Speech Processing
N1  - 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
N2  - 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
UR  - http://148.231.10.114:2048/login?url=http://dx.doi.org/10.1007/978-3-319-45581-5
ER  -