000 03064nam a22005775i 4500
001 978-3-319-45581-5
003 DE-He213
005 20200421112042.0
007 cr nn 008mamaa
008 161026s2016 gw | s |||| 0|eng d
020 _a9783319455815
_9978-3-319-45581-5
024 7 _a10.1007/978-3-319-45581-5
_2doi
050 4 _aNX260
072 7 _aH
_2bicssc
072 7 _aUB
_2bicssc
072 7 _aCOM018000
_2bisacsh
072 7 _aART000000
_2bisacsh
082 0 4 _a004
_223
100 1 _aAmiot, Emmanuel.
_eauthor.
245 1 0 _aMusic Through Fourier Space
_h[electronic resource] :
_bDiscrete Fourier Transform in Music Theory /
_cby Emmanuel Amiot.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2016.
300 _aXV, 206 p. 129 illus., 45 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _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 _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.
650 0 _aComputer science.
650 0 _aMusic.
650 0 _aComputer science
_xMathematics.
650 0 _aUser interfaces (Computer systems).
650 0 _aApplication software.
650 0 _aMathematics.
650 1 4 _aComputer Science.
650 2 4 _aComputer Appl. in Arts and Humanities.
650 2 4 _aMusic.
650 2 4 _aMathematics in Music.
650 2 4 _aMathematics of Computing.
650 2 4 _aUser Interfaces and Human Computer Interaction.
650 2 4 _aSignal, Image and Speech Processing.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783319455808
830 0 _aComputational Music Science,
_x1868-0305
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-319-45581-5
912 _aZDB-2-SCS
942 _cEBK
999 _c56681
_d56681