I can't tell if transformational theories are supposed to be generalizations of traditional harmonic theory to apply to all tertian harmonies or an alternative that only works in the case of certain stereotypically chromatic progressions.
To that end, I would be very interested to see how neo-Riemannian analysis could be applied to music that IS straightforwardly tonal. Obviously we'd lose some structure without taking into account all that we know about the particular hierarchies inherent to most, say, Mozartian music, but what information would be obtained from such an analysis, and how would it overlap/be different than what we'd get from something like a Schenkerian analysis?
Any relevant articles/books would be much appreciated!