Cool.
As the title of the thread asserts, the pitch field (and the volume field - equally important!) are mysterious. If you watch people trying the theremin for the first time, they are mystified - they are trying to interact with something that they cannot see or feel, that requires a coordination they are unfamiliar with, and that they do not understand.
I figure; the better the understanding, the better the interaction. That, and familiarity. (*) So I've been thinking about this on and off for three and a quarter years.
(*) To provide an opposing point of view, I taught my wife to cycle. First I explained the physics involved in centrifuges, and why bicycles tend to stay upright. Then I pushed her down a steep hill and let go. The second step probably helped more than the first.