Undergraduate thesis (Ball State)
All-scalar set theory is the idea of finding the connection between Forte's set theory and MOS theory. Julian Hook figured out how to enumerate the pitch class sets using the Polya Enumeration theorem, and doing something similar for scales by step size counts (such as 5 large steps, 2 small steps for the major scale) would completely illustrate the connection. In my thesis, I discovered several mathematical conversions, the most important being the exact permutations needed to turn a count of step sizes into pitch class sets, even with transpositional and inversional symmetry. You can read the paper here (Cardinal Scholar) or here (Issuu.com).