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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
Music: A Mathematical Offering
Language: en
Pages: 426
Authors: Dave Benson
Categories: Mathematics
Type: BOOK - Published: 2007 - Publisher: Cambridge University Press

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This book explores the interaction between music and mathematics including harmony, symmetry, digital music and perception of sound.
Transformational analysis in practice: Music-analytical studies on composers and musicians from around the world
Language: en
Pages: 368
Authors: Bozhidar Chapkanov
Categories: Music
Type: BOOK - Published: 2023 - Publisher: Vernon Press

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'Transformational analysis in practice' is a Must-Have for everyone working in the field or aspiring to develop their music-analytical and theoretical skills in
Geometry and Topology in Music
Language: en
Pages: 130
Authors: Moreno Andreatta
Categories: Mathematics
Type: BOOK - Published: 2024-11-01 - Publisher: CRC Press

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This book introduces path-breaking applications of concepts from mathematical topology to music-theory topics including harmony, chord progressions, rhythm, and
Fourier Transforms
Language: en
Pages: 374
Authors: Robert M. Gray
Categories: Technology & Engineering
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

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The Fourier transform is one of the most important mathematical tools in a wide variety of fields in science and engineering. In the abstract it can be viewed a