This project springs from my experience as a mathematician and musician. The work builds upon foundations that I put in place during my GLCA NDI supported project in summer 2010. The project proceeds along two parallel tracks:1. SoundMath: Popular mathematical exposition that makes connections between musical sound and well-know mathematical results2. Computational Musicology: I apply the methods of statistical mechanics to study digital representations of musical scores.The proposed work will continue with the SoundMath series, resulting in a further manuscript for submission for publication and presentation in public talks. Further, the prototype software that I have written for statistical harmonic analysis will be refined into a production code that can be shared with students and researchers in this field. The work in producing statistical descriptors for identifying composers and genres will be developed to the point of submitting a manuscript for publication and for conference presentation.