5 citations · 6 across the 4 of their papers we have counts for
4 papers
Wang-Sun Formula in
Octavio A. Agustín-Aquino
Wang and Sun proved a certain summatory formula involving derangements and primitive roots of the unit. We study such a formula but for the particular case of the set of affine der…
On first-species counterpoint theory
Juan Sebastián Arias-Valero, Octavio A. Agustín-Aquino, Emilio Lluis-Puebla
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…
Contrapuntal Aspects of the Mystic Chord and Scriabin's Piano Sonata No. 5
Octavio A. Agustín-Aquino, Guerino Mazzola
We present statistical evidence for the importance of the "mystic chord" in Scriabin's Piano Sonata No. 5, Op. 53, from a computational and mathematical counterpoint perspective. M…
Antichains and counterpoint dichotomies
Octavio A. Agustín-Aquino
We construct a special type of antichain (i. e., a family of subsets of a set, such that no subset is contained in another) using group-theoretical considerations, and obtain an up…