{ "id": "1103.0596", "version": "v1", "published": "2011-03-03T02:26:38.000Z", "updated": "2011-03-03T02:26:38.000Z", "title": "Music By Numbers", "authors": [ "Mihail Cocos", "Shawn Fowers" ], "categories": [ "math.CO", "cs.SD" ], "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.", "revisions": [ { "version": "v1", "updated": "2011-03-03T02:26:38.000Z" } ], "analyses": { "subjects": [ "05A99" ], "keywords": [ "total number", "harmonic chords whithin", "mus files", "melodic lines", "mathematical way" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2011arXiv1103.0596C" } } }