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Volumn , Issue , 2020, Pages 1-12

Entropy of Fourier coefficients of periodic musical objects

Author keywords

discrete fourier transform; entropy; fourier coefficients; music theory; organization

Indexed keywords


EID: 85087616197     PISSN: 17459737     EISSN: 17459745     Source Type: Journal    
DOI: 10.1080/17459737.2020.1777592     Document Type: Note
Times cited : (8)

References (20)
  • 1
    • 80053617150 scopus 로고    scopus 로고
    • Z-relation and Homometry in Musical Distributions
    • Agon, Carlos, Emmanuel, Amiot, Moreno, Andreatta, Daniele, Ghisi, and John, Mandereau. 2011. “ Z-relation and Homometry in Musical Distributions.” Journal of Mathematics and Music 5 (2): 83–98. doi: 10.1080/17459737.2011.608819
    • (2011) Journal of Mathematics and Music , vol.5 , Issue.2 , pp. 83-98
    • Agon, C.1    Amiot, E.2    Andreatta, M.3    Ghisi, D.4    Mandereau, J.5
  • 2
    • 43249133218 scopus 로고    scopus 로고
    • David Lewin and Maximally Even Sets
    • Amiot, Emmanuel., 2007. “ David Lewin and Maximally Even Sets.” Journal of Mathematics and Music 1 (3): 157–172. doi: 10.1080/17459730701654990
    • (2007) Journal of Mathematics and Music , vol.1 , Issue.3 , pp. 157-172
    • Amiot, E.1
  • 3
    • 77950719415 scopus 로고    scopus 로고
    • New Perspectives on Rhythmic Canons and the Spectral Conjecture
    • Amiot, Emmanuel., 2009. “ New Perspectives on Rhythmic Canons and the Spectral Conjecture.” Journal of Mathematics and Music 3 (2): 71–84. doi: 10.1080/17459730903040709
    • (2009) Journal of Mathematics and Music , vol.3 , Issue.2 , pp. 71-84
    • Amiot, E.1
  • 5
    • 85035092427 scopus 로고    scopus 로고
    • Interval Content vs. DFT. Mexico City, Mexico, edited by Octavio A. Agustín-Aquino, Emilio Lluis-Puebla, and Mariana Montiel, June, 151–166. Springer Verlag
    • Amiot, Emmanuel., 2017. “Interval Content vs. DFT.” In Mathematics and Computation in Music, 6th International Conference, MCM 2017, Mexico City, Mexico, edited by Octavio A. Agustín-Aquino, Emilio Lluis-Puebla, and Mariana Montiel, June, 151–166. Springer Verlag.
    • (2017) Mathematics and Computation in Music, 6th International Conference, MCM 2017
    • Amiot, E.1
  • 6
    • 84857538789 scopus 로고    scopus 로고
    • An Algebra for Periodic Rhythms and Scales
    • Amiot, Emmanuel, and William, Sethares. 2011. “ An Algebra for Periodic Rhythms and Scales.” Journal of Mathematics and Music 5 (3): 149–169. doi: 10.1080/17459737.2011.640469
    • (2011) Journal of Mathematics and Music , vol.5 , Issue.3 , pp. 149-169
    • Amiot, E.1    Sethares, W.2
  • 7
    • 85087633687 scopus 로고    scopus 로고
    • Transformée de Fourier Discrète et Structures Musicales. Masters thesis, IRCAM, 4 Place Stravinsky, Paris
    • Beauguitte, Pierre., 2011. “Transformée de Fourier Discrète et Structures Musicales.” Master's thesis, IRCAM, 4 Place Stravinsky, Paris.
    • (2011)
    • Beauguitte, P.1
  • 8
    • 0004205706 scopus 로고
    • New York: University of California Press, Dover
    • Boltzmann, Ludwig., 1995. Lectures on Gas Theory. New York: University of California Press, Dover.
    • (1995) Lectures on Gas Theory
    • Boltzmann, L.1
  • 9
    • 0013692598 scopus 로고
    • Maximally Even Sets
    • Clough, John, and Jack, Douthett. 1991. “ Maximally Even Sets.” Journal of Music Theory 35, 93–173. doi: 10.2307/843811
    • (1991) Journal of Music Theory , vol.35 , pp. 93-173
    • Clough, J.1    Douthett, J.2
  • 10
    • 85056005347 scopus 로고
    • Information Theory and Music
    • Cohen, Joel., 1962. “ Information Theory and Music.” Behavioral Science 7, 137–163. doi: 10.1002/bs.3830070202
    • (1962) Behavioral Science , vol.7 , pp. 137-163
    • Cohen, J.1
  • 11
    • 85007235960 scopus 로고    scopus 로고
    • Repetition and Prominence: The Probabilistic Structure of Melodic and Non-Melodic Lines
    • Duane, Ben., 2016. “ Repetition and Prominence: The Probabilistic Structure of Melodic and Non-Melodic Lines.” Music Perception: An Interdisciplinary Journal 34 (2): 152–166. doi: 10.1525/mp.2016.34.2.152
    • (2016) Music Perception: An Interdisciplinary Journal , vol.34 , Issue.2 , pp. 152-166
    • Duane, B.1
  • 12
    • 85049933097 scopus 로고    scopus 로고
    • Exploring the Space of Perfectly Balanced Rhythms and Scales
    • Milne, Andrew J., David, Bulger, and Steffen A., Herff. 2018. “ Exploring the Space of Perfectly Balanced Rhythms and Scales.” Journal of Mathematics and Music 11 (2–3): 101–133. doi: 10.1080/17459737.2017.1395915
    • (2018) Journal of Mathematics and Music , vol.11 , Issue.2-3 , pp. 101-133
    • Milne, A.J.1    Bulger, D.2    Herff, S.A.3
  • 13
    • 67649903227 scopus 로고    scopus 로고
    • General Equal-Tempered Harmony
    • Quinn, Ian., 2007. “ General Equal-Tempered Harmony.” Journal of Music Theory 44–45 (2–1).
    • (2007) Journal of Music Theory , vol.44-45 , Issue.2-1
    • Quinn, I.1
  • 14
    • 84940644968 scopus 로고
    • A Mathematical Theory of Communication
    • Shannon, Claude E. 1948. “ A Mathematical Theory of Communication.” Bell System Technical Journal 27, 379–423. doi: 10.1002/j.1538-7305.1948.tb01338.x
    • (1948) Bell System Technical Journal , vol.27 , pp. 379-423
    • Shannon, C.E.1
  • 16
    • 85087607365 scopus 로고    scopus 로고
    • Uniform Information Density Music. Accessed April 13 2020
    • Temperley, David., 2019. “Uniform Information Density in Music.” Accessed April 13 2020. https://mtosmt.org/issues/mto.19.25.2/mto.19.25.2.temperley.html.
    • (2019)
    • Temperley, D.1
  • 17
    • 85087652467 scopus 로고    scopus 로고
    • Measuring the Complexity of Musical Rhythm. Ph.D. thesis, Mc Gill University, Montreal, Canada
    • Thul, Eric., 2008. “Measuring the Complexity of Musical Rhythm.” Ph.D. thesis, Mc Gill University, Montreal, Canada.
    • (2008)
    • Thul, E.1
  • 18
    • 85087631903 scopus 로고    scopus 로고
    • Some Statistical Properties of Tonality, 1650–1900. Ph.D. thesis, Un. of Yale, New Haven
    • White, Christopher W. M. 2013. “Some Statistical Properties of Tonality, 1650–1900.” Ph.D. thesis, Un. of Yale, New Haven.
    • (2013)
    • White, C.W.M.1
  • 19
    • 84949058379 scopus 로고    scopus 로고
    • Applications of DFT to the Theory of Twentieth-Century Harmony. edited by Tom Collins, David Meredith, and Anja Volk, June, 207–218. London: Springer Verlag
    • Yust, Jason., 2015. “Applications of DFT to the Theory of Twentieth-Century Harmony.” In 5th International Conference on Mathematics and Computation in Music, edited by Tom Collins, David Meredith, and Anja Volk, June, 207–218. London: Springer Verlag.
    • (2015) 5th International Conference on Mathematics and Computation in Music
    • Yust, J.1
  • 20
    • 84994357470 scopus 로고    scopus 로고
    • Special Collections: Renewing Set Theory
    • Yust, Jason., 2016. “ Special Collections: Renewing Set Theory.” Journal of Music Theory 60 (2): 213–262. doi: 10.1215/00222909-3651886
    • (2016) Journal of Music Theory , vol.60 , Issue.2 , pp. 213-262
    • Yust, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.