Fallout 2 is one of my favorite old games.
But sometimemes in modern PC's you may encounter with absence of music on background which very easy to fix:
Go into Fallout 2 folder e.g.
D:\Games\Fallout 2 and open with your text editor fallout2.cfg file.
Then find music_path1 and music_path2 and set their values to:
Save & exit then enter F2 game. That's all!
Thanks for solution to tonzatube: