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020 _a9783319455815
040 _aES-MaUEC
050 4 _aNX260
_b.A456 2016
082 0 4 _a004
100 1 _aAmiot, Emmanuel
_0Local
_9100015
245 1 0 _aMusic Through Fourier Space :
_bDiscrete Fourier Transform in Music Theory
_cby Emmanuel Amiot
260 _aCham
_bSpringer International Publishing
_c2016
300 _a1 recurso en línea (XV, 206 páginas)
_b129 ilustraciones, 45 ilustraciones en color
336 _aTexto
_btxt
_2rdacontent
337 _aelectrónico
_bc
_2rdamedia
338 _arecurso electrónico
_bcr
_2rdacarrier
490 0 _aComputational Music Science
_x1868-0305
505 0 _aDiscrete Fourier Transform of Distributions -- Homometry and the Phase Retrieval Problem -- Nil Fourier Coefficients and Tilings -- Saliency -- Continuous Spaces, Continuous Fourier Transform -- Phases of Fourier Coefficients.
520 3 _aThis 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.
710 2 _aSpringerLink (Online service)
_0Local
_9106996
942 _2lcc
_cLE
988 _aEBOOK, asignarmaterias , EBSPRINGER
650 7 _aMúsica
_0comprobar BNE19900961860
_2embne
_9138603
650 7 _aMatemáticas
_0(OCoLC)1012163
_2embne
_0
_9405008
856 4 0 _uhttps://go.openathens.net/redirector/universidadeuropea.es?url=https://link.springer.com/book/10.1007/978-3-319-45581-5
_zAcceso a este recurso digital (usuarios Universidad Europea de Madrid)
901 _ai9783319455815
907 _a.b1295634x
_b10-10-17
_c21-11-16
998 _am
_a_alco
_a_vill
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945 _aNX260 .A456 2016 EB
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_z06-04-17
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