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Get Music Through Fourier Space: Discrete Fourier Transform in PDF

By Emmanuel Amiot

This e-book explains the state-of-the-art within the use of the discrete Fourier rework (DFT) of musical buildings resembling rhythms or scales. specifically the writer explains the DFT of pitch-class distributions, homometry and the section retrieval challenge, nil Fourier coefficients and tilings, saliency, extrapolation to the continual Fourier remodel and non-stop areas, and the that means of the levels of Fourier coefficients.

this is often the 1st textbook devoted to this topic, and with assisting examples and routines this can be compatible for researchers and complex undergraduate and graduate scholars of song, laptop technology and engineering. the writer has made on-line supplementary fabric to be had, and the e-book is additionally appropriate for practitioners who are looking to know about thoughts for figuring out musical notions and who are looking to achieve musical insights into mathematical problems.

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Read or Download Music Through Fourier Space: Discrete Fourier Transform in Music Theory (Computational Music Science) PDF

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Music Through Fourier Space: Discrete Fourier Transform in Music Theory (Computational Music Science) by Emmanuel Amiot


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