Sponsored by Elizabethtown College, Franklin and Marshall College, Lebanon Valley College, Millersville University, and West Chester University
12 Sep 2025: 3 Oct 2025: 14 Nov 2025: 6 Feb 2026: 6 Mar 2026: 10 Apr 2026:
TGTS is a regional mathematics seminar/colloquium, broadly based on the disciplines of geometry and topology. The public is cordially invited to attend.
Date/Time: 3 October 2025, 4:30pm ET Location: Franklin and Marshall, Stager 105 (note the room change from the usual!) Zoom: link here Speaker: Sam Taylor, Temple University Title: Generalizing the Orbifold Model for Voice Leading Abstract: In music theory, “voice leading” is a technical term referring to the assignment of parts (voices or instruments) to notes to create harmonies (chords) that change over time. Previous work in mathematical music theory has modeled chords as points in orbifolds constructed according to equivalences commonly encountered in music (e.g., octave equivalence). In these models, voice leading corresponds to paths in the orbifolds. In this talk, I will discuss an approach to generalizing these models to incorporate loudness. This approach allows for the modeling of resting (absence) and re-entry of individual voices, an aspect of voice leading that is ubiquitous across musical genres.