output
20112017
most citedIncorporating Voice Permutations into the Theory of Neo-Riemannian Groups and Lewinian Duality

5 citations

5 papers

math.CO2017

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…

cs.SD2015★ 3 cited

Melodic Contour and Mid-Level Global Features Applied to the Analysis of Flamenco Cantes

Francisco Gómez, Joaquín Mora, Emilia Gómez +1

This work focuses on the topic of melodic characterization and similarity in a specific musical repertoire: a cappella flamenco singing, more specifically in debla and martinete st…

math.GR2013★ 5 cited

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…

math.GR2012

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…

math.GR2011

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…