Vol. 8 - 2024
MusMat • Brazilian Journal of Music and Mathematics
Papers
Musical Systems with - Cayley Graphs
Gabriel Picioroaga, Olivia Roberts
Abstract: We apply geometric group theory to study and interpret known concepts from Western music. We show that chords, the circle of fifths, scales and certain aspects of the first species of counterpoint are encoded in the Cayley graph of the group
Keywords: Cayley graph, finitely generated group, chords, scales, circle of fifths, first species counterpoint.