{"title":"Neo-Riemannian Graphs Beyond Triads and Seventh Chords","authors":"Ciro Visconti","doi":"10.46926/musmat.2021v5n1.39-79","DOIUrl":"https://doi.org/10.46926/musmat.2021v5n1.39-79","url":null,"abstract":"","PeriodicalId":103971,"journal":{"name":"MusMat: Brazilian Journal of Music and Mathematics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129309470","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Tonal Progressions Identification Through Kripke Semantics","authors":"Francisco Aragão","doi":"10.46926/musmat.2021v5n1.80-88","DOIUrl":"https://doi.org/10.46926/musmat.2021v5n1.80-88","url":null,"abstract":"","PeriodicalId":103971,"journal":{"name":"MusMat: Brazilian Journal of Music and Mathematics","volume":"8 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124418889","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A Conceptual Note on Gesture Theory","authors":"J. Arias-Valero, E. Lluis-Puebla","doi":"10.46926/musmat.2021v5n1.89-115","DOIUrl":"https://doi.org/10.46926/musmat.2021v5n1.89-115","url":null,"abstract":"","PeriodicalId":103971,"journal":{"name":"MusMat: Brazilian Journal of Music and Mathematics","volume":"73 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129733912","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Modeling, listening, analysis, and computer aided composition","authors":"Silvio Mello Filho","doi":"10.46926/musmat.2021v5n1.116-125","DOIUrl":"https://doi.org/10.46926/musmat.2021v5n1.116-125","url":null,"abstract":"","PeriodicalId":103971,"journal":{"name":"MusMat: Brazilian Journal of Music and Mathematics","volume":"43 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127653808","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Measuring the Amount of Freedom for Compositional Choices in a Textural Perspective Daniel Moreira de Sousa","authors":"Daniel Sousa","doi":"10.46926/musmat.2021v5n1.126-156","DOIUrl":"https://doi.org/10.46926/musmat.2021v5n1.126-156","url":null,"abstract":"","PeriodicalId":103971,"journal":{"name":"MusMat: Brazilian Journal of Music and Mathematics","volume":"53 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133959933","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Reading Textural Functions, Instrumental Techniques, and Space Through Partition Complexes","authors":"Pauxy Gentil-Nunes","doi":"10.46926/musmat.2020v4n2.80-97","DOIUrl":"https://doi.org/10.46926/musmat.2020v4n2.80-97","url":null,"abstract":"Partitional complexes are sets of discrete textural configurations (called shortly of partitions in Partition Analysis) that successfully interact to construct a global textural structure. This textural mode is called the Textural Proposal of a piece, where referential partitions (those that represent the main features of textural configurations in the excerpt) stand out. This conceptual environment, developed in musical texture formalization through observation and musical repertoire analysis, is now applied to musical practice. In the present work, we highlight three of these situations. The first one deals with the creative flow (compositional process) and its relation with textural planning. The second observes how these same textural functions condition the body's physical coupling to the instrument (fingers, hands, pedals, instrumentation). Finally, just as an introduction, we envisage some spatial relations, involving instrument distribution on stage, emphasizing historical concert music.","PeriodicalId":103971,"journal":{"name":"MusMat: Brazilian Journal of Music and Mathematics","volume":"74 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-12-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126158672","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Time and Reversal in Birtwistle's Punch and Judy","authors":"R. Peck","doi":"10.46926/musmat.2020v4n2.52-65","DOIUrl":"https://doi.org/10.46926/musmat.2020v4n2.52-65","url":null,"abstract":"We examine the occurrence of peripeteia in Harrison Birtwistle's 1967 opera Punch and Judy, as manifest in a reversal of cyclic time. Specifically, we extend a metaphorical association between the passage of cyclic time in the opera and discrete rotation in the complex plane generated by the imaginary unit i. Such a rotation moves alternately between the real and the imaginary axes, as scenes in the opera pass correspondingly through sacred and profane orientations. The instance of peripeteia results in a counter rotation, a dramaturgical inversion. To bring this reversal into the metaphor, we extend it from its situation in the complex plane to one in the space of Hamilton's quaternions, wherein such negation is obtained through the product of upper-level imaginary units. The scene that contains the reversal and that which consists of the opera's comic resolution epitomize the drama and occupy the highest level of dramatic structure.","PeriodicalId":103971,"journal":{"name":"MusMat: Brazilian Journal of Music and Mathematics","volume":"47 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-12-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130142789","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Partitional Harmony: The Partitioning of Pitch Spaces","authors":"Marco Feitosa","doi":"10.46926/musmat.2020v4n2.01-27","DOIUrl":"https://doi.org/10.46926/musmat.2020v4n2.01-27","url":null,"abstract":"In this preliminary work, we seek to present a brief historical review of the use of partitions in music, to provide a concise introduction to the theory of partitions, and lastly, through an extensive bibliographic revision and a thoughtful theoretical reflection, to lay the foundations of what we call partitional harmony - a comprehensive harmonic conception which relates the theory of partitions to several fields of post-tonal music theory. At the end, some basic operations (pitch, transposition, inversion, and multiplication) are defined and an illustrative musical application is provided, followed by our research prospects.","PeriodicalId":103971,"journal":{"name":"MusMat: Brazilian Journal of Music and Mathematics","volume":"20 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-12-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121365382","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Philosophical Sketches on Category Theory Applied to Music-Mathematical Polar Semiotics","authors":"Gabriel Pareyon","doi":"10.46926/musmat.2020v4n2.41-51","DOIUrl":"https://doi.org/10.46926/musmat.2020v4n2.41-51","url":null,"abstract":"This is an attempt to combine Matthai philosophy (of Heraclitan inspiration) and Category Theory using the Yoneda Lemma as a means for harmonizing the traditionally opposite values and conceptions dissociated between the Euclidean tradition and Heraclitus thought. The text is divided in three sections: general background and description of Yoneda, a contextualization on Heraclitan aesthetics and polar semiotics (a notion firstly intuited by I. M. Lotman and Th. Sebeok), and an experiment suggested for the revision of the grounds of music theory, with the purpose of conciliate extremely dissociated notions of music (Euclidean vs. Heraclitan) however making part of a common musical experience and knowledge. Conclusions are addressed to hypothesize that Yoneda lemma may support a robust philosophy of music within the field of Category Theory where any group is isomorphic to a subgroup of a permutation, with one-to-one paired correspondences.","PeriodicalId":103971,"journal":{"name":"MusMat: Brazilian Journal of Music and Mathematics","volume":"21 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-12-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115166740","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}