A Group-Theoretical Approach to Voice Leading in Tonal Music
Stech, Ernest B.
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In this paper, we will attempt to explore the underlying mathematical structures in tonal music through group-theoretical models. Drawing from existing neo-Riemannian literature and its mathematical/musical structures, namely the Tonnetz and the PLR-group, we will present a new group-theoretical model that uses operations acting on 4-note chords built from harmony based on thirds, derived from the ii- V-I progression using major-derived harmony.