On first-species counterpoint theory
Rings and Algebras
2024-01-17 v3
Abstract
We generalize first-species counterpoint theory to arbitrary rings and obtain some new counting and maximization results that enrich the theory of admitted successors, pointing to a structural approach, beyond computations. The generalization encompasses an alternative theory of contrapuntal intervals. We also propose several variations of the model that intend to deepen into its principles. The original motivations of the theory, as well as all technical passages, are carefully reviewed so as to provide a complete exposition.
Keywords
Cite
@article{arxiv.2004.07983,
title = {On first-species counterpoint theory},
author = {Juan Sebastián Arias-Valero and Octavio A. Agustín-Aquino and Emilio Lluis-Puebla},
journal= {arXiv preprint arXiv:2004.07983},
year = {2024}
}
Comments
Major revision. 45 pages, 2 figures