Moreno Andreatta, Corentin Guichaoua, Nicolas Juillet
{"title":"New hexachordal theorems in metric spaces with a probability measure","authors":"Moreno Andreatta, Corentin Guichaoua, Nicolas Juillet","doi":"10.4171/rsmup/150","DOIUrl":null,"url":null,"abstract":"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.","PeriodicalId":20997,"journal":{"name":"Rendiconti del Seminario Matematico della Università di Padova","volume":"51 13","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Rendiconti del Seminario Matematico della Università di Padova","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4171/rsmup/150","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
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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