I have pretty much the same problem everyone else adressed here already. Furthermore, I tried pretty much everything: from changing drivers, changing soundcards, changing soundoptions and even disabling some options in the BIOS, which could have some impact on the audio. Combined with my experience that I never had an issue like this... ever (in one specific game), it is safe to assume this is not fixable on my side.
The devs have to look into this asap, because the music is too important for this game not to experience.

Note: DX9 does help me getting rid of the audio issue (for the most part) but the game runs worse, looks worse... so there is that.