New hexachordal theorems in metric spaces with a probability measure.

Autor: ANDREATTA, MORENO, GUICHAOUA, CORENTIN, JUILLET, NICOLAS
Předmět:
Zdroj: Rendiconti del Seminario Matematico della Universita di Padova; 2024, Vol. 152, p45-58, 14p
Abstrakt: The hexachordal theorem is an intriguing combinatorial property of the sets in Z=12Z, 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. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index