Does any one Know the name of a anime movie that has to do with beethoven unfinished symphony?

In this movie there is two girls fighting different demons one is a libraian and the other one is a samurai i think and at the end as the song is playing it building a machine and they are trying to stop it beucase if it finished the symphony it will be the end of the world everyone will commit suicide i want to find the name to it i liked that movie if anyone has any idea please me know