That's an interesting twist on the platformer genre, but I think the execution could use some tweaking (which is hard to get enough of in a game jam).
For example, you could try to make the levels in a way that helps to play a decent melody. Or maybe pivot the game so that it's no longer a platformer, as suggested in another comment.
As for the implementation itself, the controls felt a little floaty.
Nice visuals though. Good job!