Title
Using fundamental groups and groupoids of chord spaces to model voice leading
Document Type
Conference Proceeding
Publication Title
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Publication Date
1-1-2015
Abstract
We model voice leading using tools from algebraic topology, principally the fundamental group, the orbifold fundamental group, and related groupoids. Doing so is a natural extension of modeling voice leading by continuous paths in chord spaces. The resulting algebraic precision in the representation of voice leadings and their concatenations allows for new distinctions between voice crossing cases, and enhanced connections with other approaches to voice leading.
Volume
9110
First Page
267
Last Page
278
DOI
10.1007/978-3-319-20603-5_28
ISSN
03029743
E-ISSN
16113349
ISBN
9783319206028
Recommended Citation
Hughes, James R., "Using fundamental groups and groupoids of chord spaces to model voice leading" (2015). Faculty Publications. 1143.
https://jayscholar.etown.edu/facpubharvest/1143
