{"title":"Diatonic Voice-Leading Transformations","authors":"Leah Frederick","doi":"10.1093/mts/mtad017","DOIUrl":null,"url":null,"abstract":"Abstract This article draws on the mathematical approaches of Tymoczko (2011) and Hook (2008) to construct a transformational space of closed-position diatonic triads. The group acts on a set of twenty-one objects: the seven diatonic triads differentiated by the three closed-position inversions. After constructing the transformation group as an abstract voice-leading space, I interpret the system as an instrumental space (De Souza 2017) that captures the chord shapes required to play triadic progressions on a keyboard. This emphasis on the space’s ability to capture such chord shapes leads to generalizations of the system that explore interactions between voice leading and chord spacing using geometric and diatonic theory.","PeriodicalId":44994,"journal":{"name":"MUSIC THEORY SPECTRUM","volume":"144 1","pages":"0"},"PeriodicalIF":1.6000,"publicationDate":"2023-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"MUSIC THEORY SPECTRUM","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1093/mts/mtad017","RegionNum":1,"RegionCategory":"艺术学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"0","JCRName":"MUSIC","Score":null,"Total":0}
引用次数: 0
Abstract
Abstract This article draws on the mathematical approaches of Tymoczko (2011) and Hook (2008) to construct a transformational space of closed-position diatonic triads. The group acts on a set of twenty-one objects: the seven diatonic triads differentiated by the three closed-position inversions. After constructing the transformation group as an abstract voice-leading space, I interpret the system as an instrumental space (De Souza 2017) that captures the chord shapes required to play triadic progressions on a keyboard. This emphasis on the space’s ability to capture such chord shapes leads to generalizations of the system that explore interactions between voice leading and chord spacing using geometric and diatonic theory.
期刊介绍：
A leading journal in the field and an official publication of the Society for Music Theory, Music Theory Spectrum features articles on a wide range of topics in music theory and analysis, including aesthetics, critical theory and hermeneutics, history of theory, post-tonal theory, linear analysis, rhythm, music cognition, and the analysis of popular musics. The journal welcomes interdisciplinary articles revealing intersections with topics in other fields such as ethnomusicology, mathematics, musicology, philosophy, psychology, and performance. For further information about Music Theory Spectrum, please visit the Society for Music Theory homepage.
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