000 | 03134nam a22005775i 4500 | ||
---|---|---|---|
001 | 978-3-319-45581-5 | ||
003 | DE-He213 | ||
005 | 20180206183006.0 | ||
007 | cr nn 008mamaa | ||
008 | 161026s2016 gw | s |||| 0|eng d | ||
020 |
_a9783319455815 _9978-3-319-45581-5 |
||
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[recurso electrónico] : _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 |
_zLibro electrónico _uhttp://148.231.10.114:2048/login?url=http://dx.doi.org/10.1007/978-3-319-45581-5 |
912 | _aZDB-2-SCS | ||
942 | _cLIBRO_ELEC | ||
999 |
_c226101 _d226101 |