I do understand what you're arguing, I just don't agree with you! I haven't explicitly re-stated your point that you think music is a fusion of science and art (not one or the other per se), but that doesn't mean I don't see what you're saying. I never meant to imply that you were saying music isn't at least part art.
What I'm saying is that I do not agree that music is part science, part art. In my opinion, music is squarely an art form, and is not even part science. You do not need to 'learn' or 'use' mathematics to make music, nor to make a painting, or write a poem, even though all of these may be studied and analysed in a very mathematical manner! The art/science/humanities boundaries that we apply are of course manifest constructs, but I think they're helpful and in general pretty accurate!
You disagree with that, that's fine!