{"title":"准周期的音乐","authors":"Darren C. Ong","doi":"10.1080/17513472.2020.1766339","DOIUrl":null,"url":null,"abstract":"ABSTRACT Using the definition of quasiperiodic function as a motivation, we introduce the idea of quasiperiodic music and detail the composition process of a quasiperiodic music piece, Raindrops in A minor. We also discuss connections between quasiperiodic music and other works of music theory and composition that make use of aperiodic order or periodic order with large periods, such as Lindenmayer systems, Vuza canons, Messiaen's Quatuor pour la Fin du Temps, and the phase music of Steve Reich. GRAPHICAL ABSTRACT","PeriodicalId":42612,"journal":{"name":"Journal of Mathematics and the Arts","volume":"73 1","pages":"285 - 296"},"PeriodicalIF":0.3000,"publicationDate":"2020-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":"{\"title\":\"Quasiperiodic music\",\"authors\":\"Darren C. Ong\",\"doi\":\"10.1080/17513472.2020.1766339\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"ABSTRACT Using the definition of quasiperiodic function as a motivation, we introduce the idea of quasiperiodic music and detail the composition process of a quasiperiodic music piece, Raindrops in A minor. We also discuss connections between quasiperiodic music and other works of music theory and composition that make use of aperiodic order or periodic order with large periods, such as Lindenmayer systems, Vuza canons, Messiaen's Quatuor pour la Fin du Temps, and the phase music of Steve Reich. GRAPHICAL ABSTRACT\",\"PeriodicalId\":42612,\"journal\":{\"name\":\"Journal of Mathematics and the Arts\",\"volume\":\"73 1\",\"pages\":\"285 - 296\"},\"PeriodicalIF\":0.3000,\"publicationDate\":\"2020-09-10\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"5\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Mathematics and the Arts\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1080/17513472.2020.1766339\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS, INTERDISCIPLINARY APPLICATIONS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematics and the Arts","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/17513472.2020.1766339","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS, INTERDISCIPLINARY APPLICATIONS","Score":null,"Total":0}
引用次数: 5
摘要
摘要以拟周期函数的定义为出发点,介绍了拟周期音乐的概念,并详细介绍了拟周期音乐作品《雨滴a小调》的创作过程。我们还讨论了准周期音乐与其他音乐理论和作曲作品之间的联系,这些作品利用了非周期顺序或大周期的周期顺序,例如林登迈尔系统,Vuza canons,梅西安的Quatuor pour la Fin du Temps和Steve Reich的相音乐。图形抽象
ABSTRACT Using the definition of quasiperiodic function as a motivation, we introduce the idea of quasiperiodic music and detail the composition process of a quasiperiodic music piece, Raindrops in A minor. We also discuss connections between quasiperiodic music and other works of music theory and composition that make use of aperiodic order or periodic order with large periods, such as Lindenmayer systems, Vuza canons, Messiaen's Quatuor pour la Fin du Temps, and the phase music of Steve Reich. GRAPHICAL ABSTRACT