A friend of mine posted this link in her LiveJournal, and I wanted to share it here:

Music from 3400 years ago--ancient Syrian melody transcribed in cuneiform. (There's a midi link, too).

The essay on the webpage is basically an advertisement for the author's book, but it makes an interesting argument for the case of harmony in ancient music, nontheless.

Or at least, Ithought it was interesting, but I don't know much about music theory and chords. I know several folks around here know a lot more.