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Music Through Fourier Space
Language: en
Pages: 214
Authors: Emmanuel Amiot
Categories: Computers
Type: BOOK - Published: 2016-10-26 - Publisher: Springer

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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 au
Applications of the Discrete Fourier Transform to Music Analysis
Language: en
Pages: 0
Authors: Jennifer Diane Harding
Categories: Music theory
Type: BOOK - Published: 2021 - Publisher:

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The discrete Fourier transform (DFT) has recently gained traction as a music-theoretic and music analyticaltool, providing a mathematically robust way of modeli
Mathematics of the Discrete Fourier Transform (DFT)
Language: en
Pages: 323
Authors: Julius O. Smith
Categories: Fourier transformations
Type: BOOK - Published: 2008 - Publisher: Julius Smith

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"The DFT can be understood as a numerical approximation to the Fourier transform. However, the DFT has its own exact Fourier theory, and that is the focus of th
The Musical-Mathematical Mind
Language: en
Pages: 352
Authors: Gabriel Pareyon
Categories: Computers
Type: BOOK - Published: 2017-10-20 - Publisher: Springer

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This book presents a deep spectrum of musical, mathematical, physical, and philosophical perspectives that have emerged in this field at the intersection of mus
Fast Fourier Transform - Algorithms and Applications
Language: en
Pages: 437
Authors: K.R. Rao
Categories: Mathematics
Type: BOOK - Published: 2011-02-21 - Publisher: Springer Science & Business Media

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This book presents an introduction to the principles of the fast Fourier transform. This book covers FFTs, frequency domain filtering, and applications to video