Extended counterpoint symmetries and continuous counterpoint
Octavio A. Agust\'in-Aquino
TL;DR
This paper develops a comprehensive counterpoint theory for the entire octave continuum using Mazzola's model, introducing extended symmetries and exploring their properties.
Contribution
It introduces extended counterpoint symmetries within Mazzola's framework to model counterpoint across the full octave continuum.
Findings
Extended counterpoint symmetries are formulated for the octave continuum.
The properties of these symmetries are analyzed and discussed.
Abstract
A counterpoint theory for the whole continuum of the octave is obtained from Mazzola's model via extended counterpoint symmetries, and some of its properties are discussed.
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