There's no way to turn the music off. When you go into the settings there's a setting for music and gameplay volume, but you can't actually interact with them. You interact with the other settings in the menu by clicking on them, but there's no way to interact with the volume. No matter what I tried it stayed set to 1.00.

The gameplay and music aren't even bad, it's actually a pretty fun game and the music is repetitive but funky... I just want to watch a movie while I play and I can't do that with this game. It's too bad, but I'm refunding.