Coming to "the theory" -- although I don't mention it here too often, I actually have some previous experience with Indian classical music, which influences my understanding of melody in certain ways which I'm still trying to piece together.
I wonder if you don't mind amplifying on the influence of classical Indian music (yes, obviously, that in itself is a huge topic....I've even forgot speaking and writing a bit of Bangla, which is different than the lingua franca [or, you know, one of!]).
Basically it's such a huge country that I don't feel comfortable generalizing about regions I don't know (and those that I do know, it's not from having been there as a turista, just some old schoolmates and friends of friends IRL).
The rhythmic, and repetitive, and utterly disciplined parts of certain types of "classical Indian music" does strike me as very related to American style folk music.
But that combined with the preeminently Euro "bourgeois" instrument, the piano, I wonder what your thoughts are about that.