Very interesting combination of games! I loved the musical part the most, although at first, it stopped working - from a certain point, I always missed it no matter what. Reloading the game helped, and the second time, it was great! I think it might have something to do with the lag you get from when the song games starts - maybe it desynchronized visuals and the hit detection?
The visuals were also quite cool, especially the evolution of the dragon! The fighting didn't quite work for me, though - it felt like the attack animations were absent, and I also didn't quite want to fight the dragon :D