Year: 2003
Type: article
Abstract: A tetrahedral graph models voice leading among the 29 T/I-type tetrachord classes.Transpositional combination plays a crucial role in the structure of the tetrahedron.A dipyramid, fusing two tetrahedra, models similar relations among the 43 T-type |4|-classes.The two graphs generalize to n-dimensional simplexes for relations among |n + 1|-classes, in modulo 12 and in other universes of even cardinality.A peculiarity is that the symmetrical graphs are a bit too large to hold the asymmetrical collection of abstract objects that they are designed to contain.A handful of set-class duplications serve as bubble wrap; the article devotes considerable attention to investigating their status.
Source: Music Theory Online
DOI: 10.30535/mto.9.4.1
Author: Richard Cohn
Institution: University of Chicago
Language: English
Subfield: Music
Field: Arts and Humanities
Domain: Social Sciences
Open Access status: diamond
OpenAlex ID: W100690320