具有概率度量的度量空间中的新六弦琴定理

Rendiconti del Seminario Matematico della Università di Padova Pub Date : 2024-03-07 DOI:10.4171/rsmup/150

Moreno Andreatta, Corentin Guichaoua, Nicolas Juillet

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引用次数: 1

摘要

六和弦定理是音乐学家米尔顿-巴比特（Milton Babbitt，1962-2011 年）发现并推广的 Z/12Z 中集合的一个引人入胜的组合性质。它已得到多种解释和部分概括。在此，我们将从几何学和概率论的角度进一步阐述如何理解这一现象。数学学科分类（2020）。一级：00A65；二级：28A75, 05C12, 60Dxx。

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New hexachordal theorems in metric spaces with a probability measure

The Hexachordal Theorem is an intriguing combinatorial property of the sets in Z/12Z discovered and popularized by the musicologist Milton Babbitt (19162011). 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. Mathematics Subject Classification (2020). Primary: 00A65; Secondary: 28A75, 05C12, 60Dxx.

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Rendiconti del Seminario Matematico della Università di Padova

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