There is a setting for the bass gain for each game/application. In the desired app, the options can be found in Settings->Audio
Yes, both have music. There is a setting in Settings->Audio for music volume vs sound effect volume.
Quoted from twitami:
I know the sound is separate in each game, but are they saved? And is it me, or are they very inconsistent between games?
Yes the volumes are saved. The level of volumes may be different per game/application depending on the choices made by the programmer.