Musical Actions of Dihedral Groups
Monday, February 11, 2013 at 1:00pm to 1:45pm
Bronfman Science Center, 106 18 Hoxsey St, Williamstown, MA 01267, USA
Abstract: Since the mid-20th century, music theorists have modeled musical transposition and inversion as an action of the dihedral group of order 24. More recently, theorists have found a second way in which that group acts on the set of consonant triads: through the PLR-group. We will see how these actions are dual in a musical sense, and how they apply to what we hear in tonal music today.
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