Relational poly-Klumpenhouwer networks for transformational and voice-leading analysis

  title={Relational poly-Klumpenhouwer networks for transformational and voice-leading analysis},
  author={Alexandre Popoff and Moreno Andreatta and Andr{\'e}e C. Ehresmann},
  journal={Journal of Mathematics and Music},
  pages={35 - 55}
In the field of transformational music theory, which emphasizes the possible transformations between musical objects, Klumpenhouwer networks (K-nets) constitute a useful framework with connections in both group theory and graph theory. Recent attempts at formalizing K-nets in their most general form have evidenced a deeper connection with category theory. These formalizations use diagrams in sets, i.e. functors where is often a small category, providing a general framework for the known group… 
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  • A. Popoff
  • Mathematics
    Journal of Mathematics and Music
  • 2020
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