Mathematics abd music: systematization of analogies between mathematical and musical contents

Authors

  • Carlos dos Santos-Luiz Instituto Politécnico de Coimbra
  • Lisete Mónico Universidade de Coimbra
  • Sandra Campelos Colégio Internato dos Carvalhos
  • Carlos Fernandes da Silva Universidade de Aveiro

DOI:

https://doi.org/10.21814/rpe.7742

Keywords:

Mathematics and music relationship, Mathematics contents, Music contents, Mathematics programmes

Abstract

Over time, mathematicians and physicians have found analogies between mathematics and music. At the same time, musicians have found support in mathematics to describe their art. This article consists of a systematization of the connections between mathematical and musical contents. Musical content was divided into the subjects of: 1) Musical theory and analysis, 2) Acoustics and 3) Musical composition. Subsequently, within each of these subjects, the associations with mathematics were systemized based on the organization of Programmes of Mathematics in Basic Education and their Curriculum Targets(3rd cycle) and of Programmes of Mathematics A and B of the 11th and 12th years of Portuguese Secondary Education. We conclude that the musical elements and concepts associated with mathematics are distributed over theareas of Arithmetic, Algebra, Trigonometry and, especially, Geometry.

Downloads

Download data is not yet available.

Downloads

Published

2015-12-04

How to Cite

dos Santos-Luiz, C., Mónico, L., Campelos, S., & da Silva, C. F. (2015). Mathematics abd music: systematization of analogies between mathematical and musical contents. Portuguese Journal of Education, 28(2), 271–293. https://doi.org/10.21814/rpe.7742

Issue

Vol. 28 No. 2 (2015)

Section

Artigos

License

1. The authors preserve their authorship and grant the Portuguese Journal of Education the right to the first publication. The work is licensed under Creative Commons Attribution License that allows sharing the work with the acknowledgment of initial authorship and publication in this Journal.

2. The authors have the right to take additional contracts separately, for non-exclusive distribution of the published version of their work (e.g. to deposit in an institutional repository or as a book chapter), acknowledging the initial authorship and publication in this Journal.

3. The authors have the permission and are stimulated to post their work online (e.g. in an institutional repository or on their personal website). They can do this at any phase of the editorial process, as it may generate productive changes, as well as increase impact and article citation (see The Open Citation Project).


Licença Creative Commons

The work is licensed under Attribution-ShareAlike 4.0 International (CC BY-SA 4.0)