5 citations · 5 across the 3 of their papers we have counts for
3 papers
Incorporating Voice Permutations into the Theory of Neo-Riemannian Groups and Lewinian Duality
Thomas M. Fiore, Thomas Noll, Ramon Satyendra
A familiar problem in neo-Riemannian theory is that the P, L, and R operations defined as contextual inversions on pitch-class segments do not produce parsimonious voice leading. W…
Morphisms of Generalized Interval Systems and PR-Groups
Thomas M. Fiore, Thomas Noll, Ramon Satyendra
We begin the development of a categorical perspective on the theory of generalized interval systems (GIS's). Morphisms of GIS's allow the analyst to move between multiple interval…
Musical Actions of Dihedral Groups
Alissa S. Crans, Thomas M. Fiore, Ramon Satyendra
The sequence of pitches which form a musical melody can be transposed or inverted. Since the 1970s, music theorists have modeled musical transposition and inversion in terms of an…