2 papers
math.GR2025
Transformations of Triads and Seventh Chords: Group Extensions and Duality
Thomas M. Fiore, Thomas Noll, Ethan Bonnell +5
Transformational music theory, pioneered by David Lewin, uses simply transitive group actions to analyze music. In this paper, we construct a simply transitive group action on a di…
math.CT2023
Hidden Categories: a New Perspective on Lewin's Generalized Interval Systems and Klumpenhouwer Networks
Alexandre Popoff, Moreno Andreatta
In this work we provide a categorical formalization of several constructions found in transformational music theory. We first revisit David Lewin's original theoretical constructio…