Great job on this piece :D I just wish it weren't a midi, - if it had full dynamics, I'd give you a 10/10. Anyway this doesn't really feel like Classical, it's really more of a modern/contemporary piece. I think Newgrounds closest equivalent to that would be ambient, but I may be overlooking something.
Just thinking, your piece sounds a lot like Eric Satie and his Gymnopedies, are you familiar with him? If not I'd pull him up and take a look.