Modulation Graphs in Popular Music
Sound
2023-06-27 v1
Abstract
In this paper, graph theory is used to explore the musical notion of tonal modulation, in theory and application. We define (pivot) modulation graphs based on the common scales used in popular music. Properties and parameters of these graphs are discussed. We also investigate modulation graphs for the canon of Lennon-McCartney songs in the works of The Beatles. Our approach may provide composers with mathematical insights into pivot modulation.
Cite
@article{arxiv.2306.13691,
title = {Modulation Graphs in Popular Music},
author = {Jason I. Brown and Ian George},
journal= {arXiv preprint arXiv:2306.13691},
year = {2023}
}
Comments
17 pages, 6 figures, 6 tables