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math.CT2023
Hidden Categories: a New Perspective on Lewin's Generalized Interval Systems and Klumpenhouwer Networks
Alexandre Popoff, Moreno Andreatta
In this work we provide a categorical formalization of several constructions found in transformational music theory. We first revisit David Lewin's original theoretical constructio…
math.CT2016★ 2 cited
Relational PK-Nets for Transformational Music Analysis
Alexandre Popoff, Moreno Andreatta, Andree Ehresmann
In the field of transformational music theory, which emphasizes the possible transformations between musical objects, Klumpenhouwer networks (K-Nets) constitute a useful framework…