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Music through fourier space : discrete Fourier transform in music theory / Emmanuel Amiot.

By: Amiot, Emmanuel [author.]Material type: TextTextSeries: Computational music sciencePublisher: Cham : Springer, 2016Description: 206 pages : illustrations (black and white, and colour) ; 24 cmContent type: text | still image Media type: unmediated Carrier type: volumeISBN: 9783319455808 (hbk.) :Subject(s): Music -- Mathematics | Fourier transformations | Music | MusicDDC classification: 780'.0515723 Summary: 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.
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Book Book Paul Hamlyn Library Paul Hamlyn Library Floor 3 780.0519 AMI (Browse shelf(Opens below)) Available 06638600
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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.

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