Music By Numbers
Combinatorics
2011-03-04 v1 Sound
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.
Cite
@article{arxiv.1103.0596,
title = {Music By Numbers},
author = {Mihail Cocos and Shawn Fowers},
journal= {arXiv preprint arXiv:1103.0596},
year = {2011}
}