Music Through Fourier Space Discrete Fourier Transform in Music Theory
Aus der Reihe
Computational Music Science
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- Hardcover ausgewählt
- Taschenbuch
- eBook
-
Sprache:Englisch
Fr. 107.00
inkl. gesetzl. MwSt.,
Beschreibung
Produktdetails
Einband
Gebundene Ausgabe
Erscheinungsdatum
04.11.2016
Abbildungen
XV, 129 illus., 45 illus. in color., farbige Illustrationen, schwarz-weiss Illustrationen
Verlag
SpringerSeitenzahl
206
Maße (L/B/H)
24.1/16/1.8 cm
Gewicht
506 g
Auflage
1st edition 2016
Sprache
Englisch
ISBN
978-3-319-45580-8
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 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.
This is the first textbook dedicated to this subject, and with supporting examples and exercises this is suitable for researchers and advanced undergraduate and graduate students of music, computer science and engineering. The author has made online supplementary material available, and the book is also suitable for practitioners who want to learn about techniques for understanding musical notions and who want to gain musical insights into mathematical problems.
This is the first textbook dedicated to this subject, and with supporting examples and exercises this is suitable for researchers and advanced undergraduate and graduate students of music, computer science and engineering. The author has made online supplementary material available, and the book is also suitable for practitioners who want to learn about techniques for understanding musical notions and who want to gain musical insights into mathematical problems.
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