Great game! The moment I started playing I immediately liked the music, which gave me a good first impression for the game. The graphics are also really good, as well as the level transitions, and I enjoyed the puzzles / levels a lot too. Your game mechanic was also a neat response to the theme.
I think one of the only issues I found were that, while the whole "twist on the platformer norm" was cool, it began to feel more and more like a regular platformer later in the game (such as how platforms were added that I COULD stand on, kind of taking away from the idea that "in this game, you don't actually jump on the platforms.") Other than that though, I liked this game a lot. Well done!