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Music through fourier space [electronic resource] : discrete Fourier transform in music theory

Music through fourier space [electronic resource] : discrete Fourier transform in music theory

Material type
E-Book(소장)
Personal Author
Amiot, Emmanuel, 1961-.
Title Statement
Music through fourier space [electronic resource] : discrete Fourier transform in music theory / by Emmanuel Amiot.
Publication, Distribution, etc
Cham :   Springer International Publishing :   Imprint: Springer,   2016.  
Physical Medium
1 online resource (xv, 206 p.) : ill. (some col.).
Series Statement
Computational music science,1868-0305, 1868-0313 (electronic)
ISBN
9783319455815
요약
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.
General Note
Title from e-Book title page.  
Content Notes
Discrete 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.
Bibliography, Etc. Note
Includes bibliographical references and indx.
이용가능한 다른형태자료
Issued also as a book.  
Short cut
URL
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001 000046030197
005 20200608150505
006 m d
007 cr
008 200601s2016 sz a ob 001 0 eng d
020 ▼a 9783319455815
040 ▼a 211009 ▼c 211009 ▼d 211009
082 0 4 ▼a 780.0519 ▼2 23
084 ▼a 780.0519 ▼2 DDCK
090 ▼a 780.0519
100 1 ▼a Amiot, Emmanuel, ▼d 1961-.
245 1 0 ▼a Music through fourier space ▼h [electronic resource] : ▼b discrete Fourier transform in music theory / ▼c by Emmanuel Amiot.
260 ▼a Cham : ▼b Springer International Publishing : ▼b Imprint: Springer, ▼c 2016.
300 ▼a 1 online resource (xv, 206 p.) : ▼b ill. (some col.).
490 1 ▼a Computational music science, ▼x 1868-0305, ▼x 1868-0313 (electronic)
500 ▼a Title from e-Book title page.
504 ▼a Includes bibliographical references and indx.
505 0 ▼a Discrete 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 ▼a 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.
530 ▼a Issued also as a book.
538 ▼a Mode of access: World Wide Web.
830 0 ▼a Computational music science.
856 4 0 ▼u https://oca.korea.ac.kr/link.n2s?url=http://dx.doi.org/10.1007/978-3-319-45581-5
945 ▼a KLPA
991 ▼a E-Book(소장)

Holdings Information

No. Location Call Number Accession No. Availability Due Date Make a Reservation Service
No. 1 Location Main Library/e-Book Collection/ Call Number CR 780.0519 Accession No. E14023141 Availability Loan can not(reference room) Due Date Make a Reservation Service M

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