Resumen de Melodías numéricas: explorando la intersección entre la música y las matemáticas

Rocío Rodríguez-Padín, Santiago Gómez Fuentes

• The work "Numerical Melodies" investigates the structural and conceptual relationship between music and mathematics. Throughout history, this connection has been explored by philosophers, scientists, and educators, revealing how mathematical principles underlie the composition, performance, and appreciation of music, as well as how music can be effectively used to teach mathematical concepts. The main objective is to explore the convergence between musical theory and mathematical theory, revealing structural similarities that offer new perspectives on both disciplines. The analysis focuses on several fundamental goals: investigating the similarities between musical scales and numerical progressions, examining the connection between musical notation and numbering systems, exploring how music can enhance the teaching of mathematics and vice versa, and analyzing how mathematical principles can be applied to understand musical structure. By exploring structural similarities and examining how this relationship can be leveraged in education, new perspectives and innovative approaches are offered to explore the fascinating intersection between melodies and numbers