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Volumn 6726 LNAI, Issue , 2011, Pages 326-329

The planet-4D model: An original hypersymmetric music space based on graph theory

Author keywords

Animated GCI; Graph Theory; Hypersphere; Pitch Space; Quaternions; Spectral Projections; Symmetry; Tonnetz

Indexed keywords

ANIMATED GCI; HYPERSPHERE; PITCH SPACE; QUATERNIONS; SPECTRAL PROJECTIONS; TONNETZ;

EID: 79959577807     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-642-21590-2_25     Document Type: Conference Paper
Times cited : (11)

References (12)
  • 1
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    • Byers, N.: E.Noether's Discovery of the Deep Connection Between Symmetries and Conservation Laws. IMC 12 (1999)
    • (1999) IMC , vol.12
    • Byers, N.1
  • 3
    • 79959587892 scopus 로고    scopus 로고
    • Formalisation algébrique des structures musicales aide de la Set-Theory: Aspects théoriques et analytiques
    • Andreatta, M., Agon, C.: Formalisation algébrique des structures musicales aide de la Set-Theory: aspects théoriques et analytiques. Actes des Journées d'Informatique Musicale (2003)
    • Actes des Journées d'Informatique Musicale (2003)
    • Andreatta, M.1    Agon, C.2
  • 5
    • 0001872697 scopus 로고
    • The group-theoretic description of 12-fold and microtonal pitch systems
    • Balzano, G.: The group-theoretic description of 12-fold and microtonal pitch systems. Computer Music Journal, 66-84 (1980)
    • (1980) Computer Music Journal , pp. 66-84
    • Balzano, G.1
  • 9
    • 85037736422 scopus 로고    scopus 로고
    • De Newton à Riemann, Graphes et Graphisme: Interactions Mathématico-Musico-Plastiques
    • Baroin, G.: De Newton à Riemann, Graphes et Graphisme: Interactions Mathématico-Musico-Plastiques. Litter@incognita (3), 41-57 (2010)
    • (2010) Litter@incognita , Issue.3 , pp. 41-57
    • Baroin, G.1
  • 11
    • 60949202924 scopus 로고
    • Dramatization of hypermetric conflicts in the Scherzo of Beethoven's Ninth Symphony
    • Cohn, R.: Dramatization of hypermetric conflicts in the Scherzo of Beethoven's Ninth Symphony. 19th-Century Music 15, 22-40 (1992)
    • (1992) 19th-Century Music , vol.15 , pp. 22-40
    • Cohn, R.1
  • 12
    • 67650489756 scopus 로고    scopus 로고
    • Musical Actions of Dihedral Groups
    • Crans, A., Fiore, T., Satyendra, R.: Musical Actions of Dihedral Groups. Amer. Math. Monthly 116(6), 479-495 (2009)
    • (2009) Amer. Math. Monthly , vol.116 , Issue.6 , pp. 479-495
    • Crans, A.1    Fiore, T.2    Satyendra, R.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.