That's quite an impressive entry! The level-design is really great, and the use of music to move the environment and give a feeling of progress is nice. The rythm aspect in the controls, though, doesn't feel that good. Especially the double jump and the wall jump, where it's not clear where the button has to be pressed. And more than often, in the heat of the action, I would just smash space bar and pray.
But this didn't prevent the game to be really fun to complete! Congrats!