Music through fourier space : discrete Fourier transform in music theory /
Amiot, Emmanuel,
Music through fourier space : discrete Fourier transform in music theory / Emmanuel Amiot. - 206 pages : illustrations (black and white, and colour) ; 24 cm. - Computational music science . - Computational music science. .
This volume 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.
Specialized.
9783319455808 (hbk.) : £42.99
Music--Mathematics.
Fourier transformations.
Music.
Music.
780'.0515723
Music through fourier space : discrete Fourier transform in music theory / Emmanuel Amiot. - 206 pages : illustrations (black and white, and colour) ; 24 cm. - Computational music science . - Computational music science. .
This volume 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.
Specialized.
9783319455808 (hbk.) : £42.99
Music--Mathematics.
Fourier transformations.
Music.
Music.
780'.0515723