Musical Actions of Dihedral Groups

The dihedral group of order 24 is the group of symmetries of a regular 12-gon, that is, of a 12-gon with all sides of the same length and all angles of the same measure. Algebraically, the dihedral group of order 24 is the group generated by two elements, s and t, subject to the three relations ssup...

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Veröffentlicht in:	The American mathematical monthly 2009-06, Vol.116 (6), p.479-495
Hauptverfasser:	Crans, Alissa S., Fiore, Thomas M., Satyendra, Ramon
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebraic group theory Chord inversions Major chords Mathematical theorems Mathematics education Minor chords Music Music theory Musical chords Musical consonance Polygons Sound pitch Theorems Triads Vertices
Online-Zugang:	Volltext
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