Yeah, this game is called Violinist of Hameln, there's no I in it.
It's based on the Violinist of Hameln manga, there's a partial translation of it
here, but it hasn't been updated in quite a long time, which is disappointing. There's an anime series too, but it was cut short and ended on the 24th episoide after skipping like 70% of the manga due to bad ratings. Was a shame, I enjoyed it.
Notable is the fact that Flute (the girl) is a much more effective weapon when thrown than Hamel's musical notes are. Not only does she do more damage, but enemies drop gold when they are killed with her (I believe it is 5 coins when she is at full health, 2 when she's at half, and none when she's got no health, but I haven't played this in forever). If buying items was part of the run, it'd be useful, but I think just using her as a weapon is enough to merit it.
Furthermore, I reckon that some of her costumes may aid in mobility. I am almost certain that you can ride on the shufflepuck thing, and that thing flies when you throw it.
The game does seem to end abrubtly after the fight with Sizer (the winged angel looking boss with the scythe), for some reason the game designers decided to stop the game there instead of moving on to a fight with Chestra (the villian in the manga) which is odd because the game offers no closure.
It's a good looking game, and the concept is so absurd, I'm sure there's some room for antics throwing Flute all over the place.