5 citations · 5 across the 3 of their papers we have counts for
4 papers
Pairwise Well-Formed Modes and Transformations
David Clampitt, Thomas Noll
One of the most significant attitudinal shifts in the history of music occurred in the Renaissance, when an emerging triadic consciousness moved musicians towards a new scalar form…
Voicing Transformations and a Linear Representation of Uniform Triadic Transformations
Thomas M. Fiore, Thomas Noll
Motivated by analytical methods in mathematical music theory, we determine the structure of the subgroup J of GL(3,Z12) generated by the three voicing reflections. As applications…
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…
Commuting Groups and the Topos of Triads
Thomas M. Fiore, Thomas Noll
The goal of this article is to clarify the relationship between the topos of triads and the neo-Riemannian PLR-group. To do this, we first develop some theory of generalized interv…