On The Mathematics of Musical Measures and Their Relation to Geometry
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 mu...
- Autores:
-
Lugos Abarca, Josué Alexis
- Tipo de recurso:
- Fecha de publicación:
- 2023
- Institución:
- Universidad EAFIT
- Repositorio:
- Repositorio EAFIT
- Idioma:
- spa
- OAI Identifier:
- oai:repository.eafit.edu.co:10784/33448
- Acceso en línea:
- https://hdl.handle.net/10784/33448
- Palabra clave:
- Musical measures
geometry
equations
rhythmic figures
areas of geometric figures
Compases musicales
geometría
ecuaciones
figuras rítmicas
áreas de figuras geométricas
- Rights
- License
- Copyright © 2023 Josué Alexis Lugos Abarca
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Centro Universitario de Música FermattaLugos Abarca, Josué Alexis20232024-02-19T18:43:26Z20232024-02-19T18:43:26Z2346-48792346-4738https://hdl.handle.net/10784/3344810.17230/ricercare.2023.16.2The 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.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.application/pdfspaUniversidad EAFIThttps://publicaciones.eafit.edu.co/index.php/ricercare/article/view/7497https://publicaciones.eafit.edu.co/index.php/ricercare/article/view/7497Copyright © 2023 Josué Alexis Lugos AbarcaopenAccessLibre accesohttp://purl.org/coar/access_right/c_abf2Ricercare, No. 16 (2023)On The Mathematics of Musical Measures and Their Relation to GeometrySobre la matemática de los compases musicales y su relación con la geometríaarticleinfo:eu-repo/semantics/articlepublishedVersioninfo:eu-repo/semantics/publishedVersionArtículohttp://purl.org/coar/version/c_970fb48d4fbd8a85http://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1Musical measuresgeometryequationsrhythmic figuresareas of geometric figuresCompases musicalesgeometríaecuacionesfiguras rítmicasáreas de figuras geométricasRicercare162758ORIGINALon-the-mathematics-of-musical.pdfTexto completoapplication/pdf3737758https://repository.eafit.edu.co/bitstreams/d511706f-5efc-4d90-a77a-8a9b8a755943/downloadcb50bb01246fe77646e60c8afa698ff8MD51THUMBNAILminaitura-ricercare_Mesa de trabajo 1.jpgCarátulaimage/jpeg182034https://repository.eafit.edu.co/bitstreams/0d67df3c-484c-476d-a1cf-b95d57f37bfc/downloada0d2ce2dd3fc2bd2c5aa7702f779f7ceMD5210784/33448oai:repository.eafit.edu.co:10784/334482024-02-21 11:31:43.602open.accesshttps://repository.eafit.edu.coRepositorio Institucional Universidad EAFITrepositorio@eafit.edu.co |
| dc.title.eng.fl_str_mv |
On The Mathematics of Musical Measures and Their Relation to Geometry |
| dc.title.spa.fl_str_mv |
Sobre la matemática de los compases musicales y su relación con la geometría |
| title |
On The Mathematics of Musical Measures and Their Relation to Geometry |
| spellingShingle |
On The Mathematics of Musical Measures and Their Relation to Geometry Musical measures geometry equations rhythmic figures areas of geometric figures Compases musicales geometría ecuaciones figuras rítmicas áreas de figuras geométricas |
| title_short |
On The Mathematics of Musical Measures and Their Relation to Geometry |
| title_full |
On The Mathematics of Musical Measures and Their Relation to Geometry |
| title_fullStr |
On The Mathematics of Musical Measures and Their Relation to Geometry |
| title_full_unstemmed |
On The Mathematics of Musical Measures and Their Relation to Geometry |
| title_sort |
On The Mathematics of Musical Measures and Their Relation to Geometry |
| dc.creator.fl_str_mv |
Lugos Abarca, Josué Alexis |
| dc.contributor.author.spa.fl_str_mv |
Lugos Abarca, Josué Alexis |
| dc.contributor.spa.fl_str_mv |
Centro Universitario de Música Fermatta |
| dc.subject.keyword.eng.fl_str_mv |
Musical measures geometry equations rhythmic figures areas of geometric figures |
| topic |
Musical measures geometry equations rhythmic figures areas of geometric figures Compases musicales geometría ecuaciones figuras rítmicas áreas de figuras geométricas |
| dc.subject.keyword.spa.fl_str_mv |
Compases musicales geometría ecuaciones figuras rítmicas áreas de figuras geométricas |
| 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. |
| publishDate |
2023 |
| dc.date.issued.none.fl_str_mv |
2023 |
| dc.date.available.none.fl_str_mv |
2024-02-19T18:43:26Z |
| dc.date.accessioned.none.fl_str_mv |
2024-02-19T18:43:26Z |
| dc.date.none.fl_str_mv |
2023 |
| dc.type.eng.fl_str_mv |
article info:eu-repo/semantics/article publishedVersion info:eu-repo/semantics/publishedVersion |
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http://purl.org/coar/version/c_970fb48d4fbd8a85 |
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http://purl.org/coar/resource_type/c_6501 http://purl.org/coar/resource_type/c_2df8fbb1 |
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Artículo |
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publishedVersion |
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2346-4879 2346-4738 |
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https://hdl.handle.net/10784/33448 |
| dc.identifier.doi.none.fl_str_mv |
10.17230/ricercare.2023.16.2 |
| identifier_str_mv |
2346-4879 2346-4738 10.17230/ricercare.2023.16.2 |
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https://hdl.handle.net/10784/33448 |
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spa |
| language |
spa |
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https://publicaciones.eafit.edu.co/index.php/ricercare/article/view/7497 |
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https://publicaciones.eafit.edu.co/index.php/ricercare/article/view/7497 |
| dc.rights.eng.fl_str_mv |
Copyright © 2023 Josué Alexis Lugos Abarca |
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http://purl.org/coar/access_right/c_abf2 |
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openAccess |
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Libre acceso |
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Copyright © 2023 Josué Alexis Lugos Abarca openAccess Libre acceso http://purl.org/coar/access_right/c_abf2 |
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application/pdf |
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Universidad EAFIT |
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Ricercare, No. 16 (2023) |
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Universidad EAFIT |
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