Musical Actions of Dihedral Groups
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Publication:3107074
DOI10.4169/193009709X470399zbMath1229.00013arXiv0711.1873OpenAlexW2157726910MaRDI QIDQ3107074
Thomas M. Fiore, Ramon Satyendra, Alissa S. Crans
Publication date: 1 January 2012
Full work available at URL: https://arxiv.org/abs/0711.1873
Abstract finite groups (20D99) Mathematics and music (00A65) Arts, music, language, architecture (aspects of mathematics education) (97M80) Groups, rings, fields (educational aspects) (97H40)
Related Items (12)
ATonnetzmodel for pentachords ⋮ Hamiltonian Cycles in the Topological Dual of the Tonnetz ⋮ Voicing Transformations of Triads ⋮ Formal structures of a harmony in the parabola ⋮ Generalized Tonnetz and discrete Abel-Jacobi map ⋮ Increasingly Enumerable Submonoids of R : Music Theory as a Unifying Theme ⋮ GeneralizedTonnetze ⋮ From Schritte and Wechsel to Coxeter Groups ⋮ Non-Contextual JQZ Transformations ⋮ Constraint-Based Systems of Triads and Seventh Chords, and Parsimonious Voice-Leading ⋮ Musical pitch quantization as an eigenvalue problem ⋮ A detailed list and a periodic table of set classes
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