{"title":"Chord Proximity, Parsimony, and Analysis with Filtered Point-Symmetry","authors":"Richard Plotkin","doi":"10.30535/MTO.25.2.3","DOIUrl":null,"url":null,"abstract":"Filtered Point-Symmetry (FiPS) is a tool for modeling relationships between iterated maximally even sets. Common musical relationships can be studied by using FiPS to model chords contained within a specific scalar context (such as C major or the 01-octatonic collection), and by capturing those relationships in a FiPS configuration space. In this work, many FiPS configuration spaces are presented; some are isomorphic to commonly referenced voice-leading spaces like the neo-Riemannian Tonnetz, and others show tonal networks that have not previously been explored. A displacement operation is introduced to codify the traversal of a configuration space, and a short music analysis is provided to demonstrate some benefits of the approach.","PeriodicalId":44918,"journal":{"name":"Music Theory Online","volume":" ","pages":""},"PeriodicalIF":0.6000,"publicationDate":"2019-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Music Theory Online","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.30535/MTO.25.2.3","RegionNum":2,"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: 4
Abstract
Filtered Point-Symmetry (FiPS) is a tool for modeling relationships between iterated maximally even sets. Common musical relationships can be studied by using FiPS to model chords contained within a specific scalar context (such as C major or the 01-octatonic collection), and by capturing those relationships in a FiPS configuration space. In this work, many FiPS configuration spaces are presented; some are isomorphic to commonly referenced voice-leading spaces like the neo-Riemannian Tonnetz, and others show tonal networks that have not previously been explored. A displacement operation is introduced to codify the traversal of a configuration space, and a short music analysis is provided to demonstrate some benefits of the approach.
期刊介绍:
Music Theory Online is a journal of criticism, commentary, research and scholarship in music theory, music analysis, and related disciplines. The refereed open-access electronic journal of the Society for Music Theory, MTO has been in continuous publication since 1993. New issues are published four times per year and include articles, reviews, commentaries, and analytical essays. In addition, MTO publishes a list of job opportunities and abstracts of recently completed dissertations.