Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On first-species counterpoint theory   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.

36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
15
The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
16
The categories of this paper are: stat
25
The categories of this paper are: patt-sol
9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess
11
The categories of this paper are: hep-lat
3
The categories of this paper are: physics