Musical Modes, Their Associated Chords and Their Musicality

TL;DR

This paper introduces a mathematical framework for defining musical modes and quantifies their musicality based on three factors, leading to a classification of the most musical modes.

Contribution

It presents a novel mathematical approach to defining and evaluating musical modes and their musicality, which was not previously formalized.

Findings

Identification of the most musical modes according to the proposed measure

A new mathematical model for mode classification

Quantitative assessment of musicality factors

Abstract

In this paper we present a mathematical way of defining musical modes and we define the musicality of a mode as a product of three different factors. We conclude by classifying the modes which are most musical according to our definition.