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Journal of Mathematics and Music最新文献

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Generalizations of Euler's Tonnetz on triangulated surfaces 三角形曲面上欧拉顿涅茨的一般化
IF 1.1 2区 数学
Journal of Mathematics and Music Pub Date : 2024-08-14 DOI: 10.1080/17459737.2024.2362132
Konstanze Rietsch
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引用次数: 0
Antisphere : exploring non-Euclidean musical spaces Antisphere：探索非欧几里得音乐空间
IF 0.5 2区 数学
Journal of Mathematics and Music Pub Date : 2024-08-09 DOI: 10.1080/17459737.2024.2341223
Emily Howard
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引用次数: 0
Music-driven geometric and topologic intuition: a case study with the Klein bottle 音乐驱动的几何和拓扑直觉：克莱因瓶案例研究
IF 1.1 2区 数学
Journal of Mathematics and Music Pub Date : 2024-06-06 DOI: 10.1080/17459737.2024.2344095
Maria Mannone, Mariana Montiel, Miguel R. Wilhelmi
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引用次数: 0
Quantum approach to jam session 即兴演奏的量子方法
IF 1.1 2区 数学
Journal of Mathematics and Music Pub Date : 2024-03-04 DOI: 10.1080/17459737.2024.2315120
Bogusław Fugiel
{"title":"Quantum approach to jam session","authors":"Bogusław Fugiel","doi":"10.1080/17459737.2024.2315120","DOIUrl":"https://doi.org/10.1080/17459737.2024.2315120","url":null,"abstract":"A quantum mechanical approach to the psychoacoustic effect of Shepard tones has been explored. Melodic intervals are represented by qubits. The phenomenon of bistable perception of intervals and th...","PeriodicalId":50138,"journal":{"name":"Journal of Mathematics and Music","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-03-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140116078","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
An algebra of chords for a non-degenerate Tonnetz 非退化 Tonnetz 的和弦代数
IF 1.1 2区 数学
Journal of Mathematics and Music Pub Date : 2024-02-29 DOI: 10.1080/17459737.2024.2312578
Rafael Cubarsi
{"title":"An algebra of chords for a non-degenerate Tonnetz","authors":"Rafael Cubarsi","doi":"10.1080/17459737.2024.2312578","DOIUrl":"https://doi.org/10.1080/17459737.2024.2312578","url":null,"abstract":"For an n-TET tuning system, we propose a formalism to study the transformations of k-chords over a generalized non-degenerate Tonnetz generated by a given interval structure. Root and mode are the ...","PeriodicalId":50138,"journal":{"name":"Journal of Mathematics and Music","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-02-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140004864","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Renaissance canons with asymmetric schemes 采用不对称方案的文艺复兴时期教规
IF 1.1 2区 数学
Journal of Mathematics and Music Pub Date : 2023-12-26 DOI: 10.1080/17459737.2023.2290275
Evan M. O'Dorney
{"title":"Renaissance canons with asymmetric schemes","authors":"Evan M. O'Dorney","doi":"10.1080/17459737.2023.2290275","DOIUrl":"https://doi.org/10.1080/17459737.2023.2290275","url":null,"abstract":"By a scheme of a musical canon, we mean the time and pitch displacement of each entering voice. When the time displacements are unequal, achieving consonant sonorities is especially challenging. Us...","PeriodicalId":50138,"journal":{"name":"Journal of Mathematics and Music","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2023-12-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139056489","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Exploring Musical Spaces: A Synthesis of Mathematical Approaches
IF 1.1 2区 数学
Journal of Mathematics and Music Pub Date : 2023-08-27 DOI: 10.1080/17459737.2023.2248124
Jordan Lenchitz
{"title":"Exploring Musical Spaces: A Synthesis of Mathematical Approaches","authors":"Jordan Lenchitz","doi":"10.1080/17459737.2023.2248124","DOIUrl":"https://doi.org/10.1080/17459737.2023.2248124","url":null,"abstract":"","PeriodicalId":50138,"journal":{"name":"Journal of Mathematics and Music","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2023-08-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76801869","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A different kind of meantone temperament and a novel mapping from the harmonic series to Pythagorean pitch classes 一种不同的平均音律和一种从和声级数到毕达哥拉斯音高类的新颖映射
IF 1.1 2区 数学
Journal of Mathematics and Music Pub Date : 2023-08-22 DOI: 10.1080/17459737.2023.2233972
Konstantin L. Gurin
{"title":"A different kind of meantone temperament and a novel mapping from the harmonic series to Pythagorean pitch classes","authors":"Konstantin L. Gurin","doi":"10.1080/17459737.2023.2233972","DOIUrl":"https://doi.org/10.1080/17459737.2023.2233972","url":null,"abstract":"The logarithm mapping of natural numbers is a sum of products of coefficients. If these coefficients are arbitrary parameters, a new mapping of natural numbers to some subset of real numbers appears. This mapping preserves some crucial logarithm properties and constructs a new musical sound with a spectrum of inharmonic overtones. The simplest one-parameter mapping to a subset of polynomials with integer coefficients is constructed. The parameter defines a new “perfect fifth” similarly to the meantone temperament. It is an interesting case when the mapping parameter is defined from the linear relation between the new “major third” and the new “perfect fifth.” The most interesting case of a linear relation is the condition of zeroing the syntonic comma. Here, the new meantone temperament, based on the new “perfect fifth,” simultaneously coincides with Pythagorean- and five-limit-like tunings.","PeriodicalId":50138,"journal":{"name":"Journal of Mathematics and Music","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2023-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74124852","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Parsimonious sequences of finite sets and their applications to chord progressions and music composition 有限集合的简约序列及其在和弦进行和音乐创作中的应用
IF 1.1 2区 数学
Journal of Mathematics and Music Pub Date : 2023-08-17 DOI: 10.1080/17459737.2023.2244480
H. Bedouelle
{"title":"Parsimonious sequences of finite sets and their applications to chord progressions and music composition","authors":"H. Bedouelle","doi":"10.1080/17459737.2023.2244480","DOIUrl":"https://doi.org/10.1080/17459737.2023.2244480","url":null,"abstract":"","PeriodicalId":50138,"journal":{"name":"Journal of Mathematics and Music","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2023-08-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81512715","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Musical stylistic analysis: a study of intervallic transition graphs via persistent homology 音乐风格分析:基于持续同调的音程过渡图研究
2区 数学
Journal of Mathematics and Music Pub Date : 2023-08-10 DOI: 10.1080/17459737.2023.2232811
Martín Mijangos, Alessandro Bravetti, Pablo Padilla
{"title":"Musical stylistic analysis: a study of intervallic transition graphs via persistent homology","authors":"Martín Mijangos, Alessandro Bravetti, Pablo Padilla","doi":"10.1080/17459737.2023.2232811","DOIUrl":"https://doi.org/10.1080/17459737.2023.2232811","url":null,"abstract":"AbstractWe develop a novel method to represent a weighted directed graph as a finite metric space and then use persistent homology to extract useful features. We apply this method to weighted directed graphs obtained from pitch transitions information of a given musical fragment and use these techniques to the quantitative study of stylistic trends. As a first illustration, we analyse a selection of string quartets by Haydn, Mozart and Beethoven and discuss possible implications of our results in terms of different approaches by these composers to stylistic exploration and variety. We observe that Haydn is stylistically the most conservative, followed by Mozart, while Beethoven is the most innovative. Finally we also compare the variability of different genres, namely minuets, allegros, prestos, and adagios, by a given composer and conclude that the minuet is the most stable form of the string quartet movements.Keywords: Topological data analysispersistent homologystring quartetintervallic transitionsstylistic analysis2020 Mathematics Subject Classifications: 55N3162R4005C9000A65 AcknowledgementsThe authors would like to thank the anonymous reviewers for their helpful comments that improved the quality of the manuscript. MM would like to thank CONACyT for the financial support. A. Bravetti acknowledges financial support by DGAPA-UNAM, programme PAPIIT, Grant No. IA-102823. PP would like to thank DGAPA (PASPA) and Clare Hall at the University of Cambridge.Disclosure statementNo potential conflict of interest was reported by the author(s).Additional informationFundingMM was supported by a CONACyT postdoctoral fellowship. PP would like to thank Dirección General de Asuntos del Personal Académico, Universidad Nacional Autónoma de México (DGAPA (PASPA)) and Clare Hall at the University of Cambridge. The work of AB was partially supported by DGAPA-UNAM, programme PAPIIT, Grant No. IA-102823.","PeriodicalId":50138,"journal":{"name":"Journal of Mathematics and Music","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-08-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135491940","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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