메뉴 건너뛰기




Volumn 13, Issue 3, 2019, Pages 193-206

Pseudo-distances between chords of different cardinality on generalized voice-leading spaces

(1)  Genuys, Grégoire a  

a NONE   (France)

Author keywords

Hausdorff distance; mathematical distance; musical chords; norms; quotient space by a group action; topological space; voice leading

Indexed keywords


EID: 85068554531     PISSN: 17459737     EISSN: 17459745     Source Type: Journal    
DOI: 10.1080/17459737.2019.1622809     Document Type: Article
Times cited : (8)

References (10)
  • 1
    • 42349087211 scopus 로고    scopus 로고
    • Generalized Voice-Leading Spaces
    • Callender, Clifton, Ian, Quinn, and Dmitri, Tymoczko. 2008. “Generalized Voice-Leading Spaces.” Science 320 (5874): 346–348. doi: 10.1126/science.1153021
    • (2008) Science , vol.320 , Issue.5874 , pp. 346-348
    • Callender, C.1    Quinn, I.2    Tymoczko, D.3
  • 2
    • 84860670203 scopus 로고    scopus 로고
    • Submajorization and the Geometry of Unordered Collections
    • Hall, Rachel W., and Dmitri, Tymoczko. 2012. “Submajorization and the Geometry of Unordered Collections.” The American Mathematical Monthly 119 (4): 263–283. doi: 10.4169/amer.math.monthly.119.04.263
    • (2012) The American Mathematical Monthly , vol.119 , Issue.4 , pp. 263-283
    • Hall, R.W.1    Tymoczko, D.2
  • 3
    • 77955473436 scopus 로고    scopus 로고
    • Completeness and Total Boundedness of the Hausdorff Metric
    • Henrikson, Jeff., 2002. “Completeness and Total Boundedness of the Hausdorff Metric.” MIT Undergraduate Journal of Mathematics 1 (1): 69–79.
    • (2002) MIT Undergraduate Journal of Mathematics , vol.1 , Issue.1 , pp. 69-79
    • Henrikson, J.1
  • 4
    • 0003391818 scopus 로고    scopus 로고
    • 2nd ed., Upper Saddle River, NJ: Prentice Hall
    • Munkres, James R., 2000. Topology. 2nd ed. Upper Saddle River, NJ: Prentice Hall.
    • (2000) Topology
    • Munkres, J.R.1
  • 5
    • 66049104306 scopus 로고    scopus 로고
    • The Progression Vector: Modelling Aspects of Post-Tonal Harmony
    • Nauert, Paul., 2003. “The Progression Vector: Modelling Aspects of Post-Tonal Harmony.” Journal of Music Theory 47 (1): 103–123. doi: 10.1215/00222909-47-1-103
    • (2003) Journal of Music Theory , vol.47 , Issue.1 , pp. 103-123
    • Nauert, P.1
  • 6
    • 79959582674 scopus 로고    scopus 로고
    • Cardinality Transformations Diatonic Space. 6726 of Lecture Notes Computer Science, 207–219. Berlin: Springer
    • Plotkin, Richard., 2011. “Cardinality Transformations in Diatonic Space.” In Mathematics and Computation in Music, Vol. 6726 of Lecture Notes in Computer Science, 207–219. Berlin: Springer.
    • (2011) Mathematics and Computation in MusicLecture Notes in Computer Science
    • Plotkin, R.1
  • 7
    • 33745760392 scopus 로고    scopus 로고
    • The Interval Angle: A Similarity Measure for Pitch-Class Sets
    • Scott, Damon, and Eric J., Isaacson. 1998. “The Interval Angle: A Similarity Measure for Pitch-Class Sets.” Perspectives of New Music 36 (2): 107–142. doi: 10.2307/833526
    • (1998) Perspectives of New Music , vol.36 , Issue.2 , pp. 107-142
    • Scott, D.1    Isaacson, E.J.2
  • 8
    • 85068578678 scopus 로고    scopus 로고
    • Strutture Algebriche e Topologiche nella Musica del Ventesimo Secolo. Masters thesis, Università di Pisa
    • Slavich, Leone., 2010. “Strutture Algebriche e Topologiche nella Musica del Ventesimo Secolo.” Master's thesis, Università di Pisa.
    • (2010)
    • Slavich, L.1
  • 9
    • 33745917405 scopus 로고    scopus 로고
    • The Geometry of Musical Chords
    • Tymoczko, Dmitri., 2006. “The Geometry of Musical Chords.” Science 313 (5783): 72–74. doi: 10.1126/science.1126287
    • (2006) Science , vol.313 , Issue.5783 , pp. 72-74
    • Tymoczko, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.