
Publication details
Publisher: Springer
Place: Berlin
Year: 2015
Pages: 267-278
Series: Lecture Notes in Computer Science
ISBN (Hardback): 9783319206028
Full citation:
, "Using fundamental groups and groupoids of chord spaces to model voice leading", in: Mathematics and computation in music, Berlin, Springer, 2015


Using fundamental groups and groupoids of chord spaces to model voice leading
pp. 267-278
in: Tom Collins, David Mérédith, Anja Volk (eds), Mathematics and computation in music, Berlin, Springer, 2015Abstract
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.
Publication details
Publisher: Springer
Place: Berlin
Year: 2015
Pages: 267-278
Series: Lecture Notes in Computer Science
ISBN (Hardback): 9783319206028
Full citation:
, "Using fundamental groups and groupoids of chord spaces to model voice leading", in: Mathematics and computation in music, Berlin, Springer, 2015