{"title":"Generalized Carlos Scales","authors":"Andrew V. Sills","doi":"arxiv-2408.14551","DOIUrl":null,"url":null,"abstract":"In 1986, composer Wendy Carlos introduced three unusual musical scales she\ncalled alpha, beta and gamma, equal temperament-inspired scales that\nde-emphasize the octave as the primary interval in favor of the major and minor\nthirds and the perfect fifth. A derivation of the alpha, beta, and gamma scales\ndue to David Benson is generalized to produce many Carlos-type scales.","PeriodicalId":501462,"journal":{"name":"arXiv - MATH - History and Overview","volume":"29 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-08-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - History and Overview","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2408.14551","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
In 1986, composer Wendy Carlos introduced three unusual musical scales she
called alpha, beta and gamma, equal temperament-inspired scales that
de-emphasize the octave as the primary interval in favor of the major and minor
thirds and the perfect fifth. A derivation of the alpha, beta, and gamma scales
due to David Benson is generalized to produce many Carlos-type scales.
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