well, since you mentioned it, the piano does have a 2-part harmony. and an echo of the piano. it's like her second voice. i didn't really realize that before. but i'm pretty sure if you [or whoever else transcribes the song] will put your own intepretation on it. if you don't know what key it's in, then it's in D Major. maybe she was watching BAYWATCH one day and decided to emulate it, b/c i sounds a lot like it's theme song. either that, or it's just a big coincidence.
as for the 2-part harmony thing, i think that it was amazing that she did that, b/c no other artist has done that with the piano before, not that i know of. cool, huh? i could kiss Van's bf for some of the things he did to make Harmonium a great album. Ron Fair, too.
i decided to send you this now, b/c i probably won't be here for the next couple of days.