MUSICAL NOTATION FOR THE REPRESENTATION OF HARMONIC PROGRESSIONS USING GRAPHS

Abstract

This article brings an innovative, adaptable and formal musical notation. It´s goal is to help the expression, the reading and the understanding of harmonic progressions. For such, it uses a mathematical formalism taken from the theory of graphs, known as digraph, or directed graph. The present article adapts a model of digraph, known as Finite Automata, naming it Diagram of Harmonic Musical States (DHMS), and uses it as a form of musical notation. The DHMS is, initially described formally. After that, it brings examples, and finally examines possible future enhancements and use for this model in music.
Keywords: Graph; Harmony; Musical Notation; Chord Progression.