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Tonal Chance Music?

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I've been toying with an idea in my head for a long time now, and have started to put it into conception:  How could I write aleatoric music that sounds tonal? When I thought about it, the answer was quite obvious:  if I control the possible elements that are going into the piece, I will control the tonality of the piece.  Not only that, I could 'write' a composition with largely chance elements involved, but sculpt them in such a way to make something that may even sound melodious, and might even have classical forms in it. To this end, I've started putting together some different ideas for a 3-movement piano sonata that will be written as a chance piece.  I will strive to incorporate the appropriate form by controlling elements in each section.  For my first attempt, I am going to use two different chance mediums:  rolling of dice and a chess game. For rhythms, I will use dice to determine which of several sets of measures to use for different sec...