On The Mathematics of Musical Measures and Their Relation to Geometry
| dc.citation.epage | 58 | |
| dc.citation.issue | 16 | |
| dc.citation.journalTitle | Ricercare | eng |
| dc.citation.spage | 27 | |
| dc.contributor | Centro Universitario de Música Fermatta | spa |
| dc.contributor.author | Lugos Abarca, Josué Alexis | spa |
| dc.date | 2023 | |
| dc.date.accessioned | 2024-02-19T18:43:26Z | |
| dc.date.available | 2024-02-19T18:43:26Z | |
| dc.date.issued | 2023 | |
| dc.description | The musical measures have been of primary importance throughout the history of music, because it is thanks to this tool that music is written and through it is performed and disseminated, however, those who study music formally understand the musical measures as only a tool to write and represent music, therefore, in this article we investigate the musical measures from another perspective: through mathematics, we will look for expressions that are able to describe the musical measures and thus find a new way to study them, in the second part, as a consequence, a possible analog to the Pythagorean theorem is constructed, which gives us the basis to begin to develop part of the geometry from the unique use of musical variables such as tempo, the rhythmic break, the time of a song and the number of measures. | eng |
| dc.description | Los compases musicales han sido de suma importancia durante toda la historia de la música, pues es gracias a esta herramienta que se escribe la música y que a través de ella se ejecuta y se divulga, no obstante, aquellos quienes estudian la música de manera formal entendemos los compases musicales como sólo una herramienta para escribir y representar la música, por tanto, dentro de este artículo se investigan los compases musicales desde otra perspectiva: mediante las matemáticas, se buscaran expresiones que sean capaces de describir los compases musicales y así hallar una nueva forma de estudiarlos, en segunda parte, como consecuencia, se construye un posible análogo al teorema de Pitágoras lo que nos da las bases para empezar a desarrollar parte de la geometría a partir del uso único de variables musicales como el tempo, el quebrado rítmico, el tiempo de una canción y del número de compases. | spa |
| dc.format | application/pdf | |
| dc.identifier.doi | 10.17230/ricercare.2023.16.2 | |
| dc.identifier.issn | 2346-4879 | |
| dc.identifier.issn | 2346-4738 | |
| dc.identifier.uri | https://hdl.handle.net/10784/33448 | |
| dc.language.iso | spa | |
| dc.publisher | Universidad EAFIT | spa |
| dc.relation.isversionof | https://publicaciones.eafit.edu.co/index.php/ricercare/article/view/7497 | |
| dc.relation.uri | https://publicaciones.eafit.edu.co/index.php/ricercare/article/view/7497 | |
| dc.rights | info:eu-repo/semantics/openAccess | eng |
| dc.rights | Copyright © 2023 Josué Alexis Lugos Abarca | eng |
| dc.rights.acceso | Libre acceso | spa |
| dc.rights.accessrights | openAccess | eng |
| dc.source | Ricercare, No. 16 (2023) | spa |
| dc.subject.keyword | Musical measures | eng |
| dc.subject.keyword | geometry | eng |
| dc.subject.keyword | equations | eng |
| dc.subject.keyword | rhythmic figures | eng |
| dc.subject.keyword | areas of geometric figures | eng |
| dc.subject.keyword | Compases musicales | spa |
| dc.subject.keyword | geometría | spa |
| dc.subject.keyword | ecuaciones | spa |
| dc.subject.keyword | figuras rítmicas | spa |
| dc.subject.keyword | áreas de figuras geométricas | spa |
| dc.title | On The Mathematics of Musical Measures and Their Relation to Geometry | eng |
| dc.title | Sobre la matemática de los compases musicales y su relación con la geometría | spa |
| dc.type | article | eng |
| dc.type | info:eu-repo/semantics/article | eng |
| dc.type | publishedVersion | eng |
| dc.type | info:eu-repo/semantics/publishedVersion | eng |
| dc.type.spa | Artículo | spa |
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