http://wyrmkeep.bandcamp.com/album/music-from-inherit-the-earth

(The music may be in the installed game files, but I do not know. There is probably YouTube music you could download, though.)

Or it could be extractable with ScummVM Tools (haven't checked either).

This one is very recommendable:

Inherit the Earth 'Fan Made' Soundtrack

You can hear it with the VLC player, but to use this music in game, you have to find a ScummVM compatible game version.

Well the GOG version is compatible, I just gave it a quick try.
Detects the game without a problem (although it asks if it is the English or Italian version) and loads without a problem.

Hm, ScummVM 1.50 doesn't recognize German GOG version. Perhaps I should try a daily snapshot.

Ah sorry, I had not tried the German version, although that is probably what I'll be playing for faux nostalgia's sake.
Why not try 1.6.0? it got released last Friday. The ScummVM version I tried was a snapshot about 2 months old.

Edit: I tried it out with ScummVM version 1.6.0, it also did not recognize the german version. Maybe it does not support it yet. Would be best to look and ask around for that in the ScummVM forums.