A Categorical Generalization of Klumpenhouwer Networks

  title={A Categorical Generalization of Klumpenhouwer Networks},
  author={Alexandre Popoff and Moreno Andreatta and Andr{\'e}e C. Ehresmann},
This article proposes a functorial framework for generalizing some constructions of transformational theory. We focus on Klumpenhouwer Networks for which we propose a categorical generalization via the concept of set-valued poly-K-nets (henceforth PK-nets). After explaining why K-nets are special cases of these category-based transformational networks, we provide several examples of the musical relevance of PK-nets as well as morphisms between them. We also show how to construct new PK-nets by… 
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  • A. Popoff
  • Mathematics
    Journal of Mathematics and Music
  • 2020
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