2 papers
math.GR2022
Composing (with) automorphisms in the colored Cube Dance: an interactive tool for musical chord transformation
Alexandre Popoff, Corentin Guichaoua, Moreno Andreatta
The `colored Cube Dance' is an extension of Douthett's and Steinbach's Cube Dance graph, related to a monoid of binary relations defined on the set of major, minor, and augmented t…
math.GR2018
Groupoids and Wreath Products of Musical Transformations: a Categorical Approach from poly-Klumpenhouwer Networks
Alexandre Popoff, Moreno Andreatta, Andree Ehresmann
Transformational music theory, pioneered by the work of Lewin, shifts the music-theoretical and analytical focus from the "object-oriented" musical content to an operational musica…