How do we mathematically measure the equivalence of musical structures?
In this lecture from MIT OpenCourseWare, instructor Michael Scott Asato Cuthbert examines the computational methods used to compare musical structures and the complex process of measuring equivalence within musical theory.
Part of the Spring 2023 course 'Computational Music Theory and Analysis', this video delves into the technical frameworks of equivalence classes and the OPTIC algorithm. It provides a mathematical lens through which to view how musical elements can be compared and categorized based on structural similarities.
Source: Video 10a: Review: Equivalence Classes and OPTIC