Very interesting project, and it made me so curious of W.A. Mathieu that I immediately his 'Harmonic Experience'. Is there some place where I can actually 'play' with your piece in order to make sense of the sound/lattice mapping?
Nice project. For more info on lattices in intonation theory, see related writings by any of the following (i.e., it wasn't originated by Mathieu): Ben Johnston, Harry Partch, Lou Harrison, James Tenney, John Chalmers, etc.