TL;DR
This paper introduces a mathematical framework for defining musical modes, deriving their total count, and assessing musicality based on harmonic chords, along with an algorithm for creating melodic duets.
Contribution
It provides a novel mathematical approach to defining modes, calculating their quantity, and generating counterpoint melodies algorithmically.
Findings
Derived a formula for the total number of musical modes
Defined musicality as the number of harmonic chords within a mode
Provided an algorithm for constructing melodic duets from sequences and modes
Abstract
In this paper we present a mathematical way of defining musical modes, we derive a formula for the total number of modes and define the musicality of a mode as the total number of harmonic chords whithin the mode. We also give an algorithm for the construction of a duet of melodic lines given a sequence of numbers and a mode. We attach the .mus files of the counterpoints obtained by using the sequence of primes and several musical modes.
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Taxonomy
TopicsMusic Technology and Sound Studies · Music and Audio Processing · Musicology and Musical Analysis