{"title":"广义音乐空间中的网络拓扑","authors":"Marco Buongiorno Nardelli","doi":"10.1162/lmj_a_01079","DOIUrl":null,"url":null,"abstract":"The abstraction of musical structures as mathematical objects in a geometrical space is one of the major accomplishments of contemporary music theory. The author generalizes the concept of musical spaces as networks and derives compositional design principles via network topology analysis. This approach provides a framework for analysis and quantification of similarity of musical objects and structures and suggests a way to relate such measures to human perception of different musical entities. Finally, network analysis provides alternative ways of interpreting the compositional process by quantifying emergent behaviors with well-established statistical mechanics. Interpreting the latter as probabilistic randomness in the network, the author develops novel compositional design frameworks.","PeriodicalId":42662,"journal":{"name":"LEONARDO MUSIC JOURNAL","volume":null,"pages":null},"PeriodicalIF":0.2000,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":"{\"title\":\"Topology of Networks in Generalized Musical Spaces\",\"authors\":\"Marco Buongiorno Nardelli\",\"doi\":\"10.1162/lmj_a_01079\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The abstraction of musical structures as mathematical objects in a geometrical space is one of the major accomplishments of contemporary music theory. The author generalizes the concept of musical spaces as networks and derives compositional design principles via network topology analysis. This approach provides a framework for analysis and quantification of similarity of musical objects and structures and suggests a way to relate such measures to human perception of different musical entities. Finally, network analysis provides alternative ways of interpreting the compositional process by quantifying emergent behaviors with well-established statistical mechanics. Interpreting the latter as probabilistic randomness in the network, the author develops novel compositional design frameworks.\",\"PeriodicalId\":42662,\"journal\":{\"name\":\"LEONARDO MUSIC JOURNAL\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.2000,\"publicationDate\":\"2020-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"5\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"LEONARDO MUSIC JOURNAL\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1162/lmj_a_01079\",\"RegionNum\":4,\"RegionCategory\":\"艺术学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"Arts and Humanities\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"LEONARDO MUSIC JOURNAL","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1162/lmj_a_01079","RegionNum":4,"RegionCategory":"艺术学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"Arts and Humanities","Score":null,"Total":0}
Topology of Networks in Generalized Musical Spaces
The abstraction of musical structures as mathematical objects in a geometrical space is one of the major accomplishments of contemporary music theory. The author generalizes the concept of musical spaces as networks and derives compositional design principles via network topology analysis. This approach provides a framework for analysis and quantification of similarity of musical objects and structures and suggests a way to relate such measures to human perception of different musical entities. Finally, network analysis provides alternative ways of interpreting the compositional process by quantifying emergent behaviors with well-established statistical mechanics. Interpreting the latter as probabilistic randomness in the network, the author develops novel compositional design frameworks.
期刊介绍:
Leonardo Music Journal (LMJ), is the companion annual journal to Leonardo. LMJ is devoted to aesthetic and technical issues in contemporary music and the sonic arts. Each thematic issue features artists/writers from around the world, representing a wide range of stylistic viewpoints. Each volume includes the latest offering from the LMJ CD series—an exciting sampling of works chosen by a guest curator and accompanied by notes from the composers and performers. Institutional subscribers to Leonardo receive LMJ as part of a yearly subscription.