Year: 2023
Type: preprint
Abstract: Mathematical music theory has assumed without proof that musical notes can be associated with the equivalence classes of $\mathbb{Z}_n$. We contest the triviality of this assertion, which we call the Pitch-class Integer Theorem (PCIT). Since the existing literature assumes the PCIT without proof, the mathematics to rigorously treat the PCIT does not yet exist. Thus, we construct an axiomatic proof of the PCIT to support the existing mathematical models of music theory.
Source: arXiv (Cornell University)
Author: Alons, Caleb Scott
Language: English
Subfield: Music
Field: Arts and Humanities
Domain: Social Sciences
Open Access status: green
OpenAlex ID: W4390723469