New hexachordal theorems in metric spaces with a probability measure
Moreno Andreatta
Université de Strasbourg, France; Sorbonne University, Paris, FranceCorentin Guichaoua
Sorbonne University, Paris, FranceNicolas Juillet
Université de Strasbourg et CNRS, Strasbourg, France
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Abstract
The hexachordal theorem is an intriguing combinatorial property of the sets in , discovered and popularized by the musicologist Milton Babbitt (1916–2011). It has been given several explanations and partial generalizations. Here we enhance how this phenomenon can be understood by giving both a geometrical and a probabilistic perspective.
Cite this article
Moreno Andreatta, Corentin Guichaoua, Nicolas Juillet, New hexachordal theorems in metric spaces with a probability measure. Rend. Sem. Mat. Univ. Padova 152 (2024), pp. 45–58
DOI 10.4171/RSMUP/150