Sobre Matrices y Polirritmias

Josué Alexis Lugos Abarca

doi:10.62230/antec.v8i1.218

Authors

Josué Alexis Lugos Abarca Centro Universitario de Música Fermatta https://orcid.org/0000-0001-8980-7748

DOI:

https://doi.org/10.62230/antec.v8i1.218

Keywords:

composition, polyrhythmicity, matrices, matrix addition and subtraction, durational patterns

Abstract

The present article aims to propose a method for composing polyrhythms using mathematics. To achieve this, we employ box notation and duration patterns to construct a rhythmic pattern with an accented pulse. This accented pulse, called the "axis pulse," moves along each position of the durational pattern notation, allowing us to obtain different rhythmic patterns. These patterns are grouped into a matrix, thus representing a polyrhythm. Subsequently, we propose matrix addition and subtraction as a creative resource to generate more polyrhythms. Finally, as a consequence of this composition method, we visually and symbolically represent the polyrhythms. A matrix can be analyzed as a system of linear equations, allowing us to graph it on the Cartesian plane.

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Author Biography

Josué Alexis Lugos Abarca, Centro Universitario de Música Fermatta

Born in Acapulco de Juárez, he demonstrated his musical talent early on during his high school years by independently composing the "Lasallian March" for the University of La Salle Bajío. This piece premiered during the welcome ceremony for Brother Superior General Robert Schieler. Subsequently, he ventured into music education, serving as a music instructor in the early musical stimulation program, musiKando. Currently, he is in the final semester of his Bachelor’s degree in Contemporary Music Composition at Fermatta University Center for Music. Concurrently, he is engaged in research in two fields: musical mathematics and musical psychology. Additionally, he has worked as a composer and music producer for various independent artists.

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