Yes, there is more than one. In addition to the fortress in Mordor there was a ’80s metal band with good taste in fantasy called Cirith Ungol. I got three of their songs off of iTunes tonight – “King of the Dead”, “Toccata in Dm” (a remake of the Bach piece), and “Cirith Ungol”. I think it’s fairly good if you like that kind of music, though I’ve certainly heard better.
Anyone else ever heard (of) them?