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arXiv · 1103.0596

Music By Numbers

Mihail Cocos·Shawn Fowers
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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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Mihail Cocos, Shawn Fowers. 2011-03-03. Music By Numbers. https://arxiv.org/abs/1103.0596

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