http://www.youtube.com/watch?v=uOglJyvFUW0

I just did this quest in game, and it has two new songs in it, one of the new 1.20 tracks, and also a song I'd never heard before, perhaps the "Cid's Theme" the previous poster was talking about.

As for the other unnamed 1.20 track, apparently its a medley/remix of all three of the grand company themes, but no one's spotted it in game yet.