(Video Link)
Philip Neuman, Gayle Stuwe Neuman, and William Gavin are three musicologists who have reconstructed music from ancient societies and performed them in front of living audiences. Their Ensemble De Organographia, as the group calls itself, used remnants of Sumerian musical notations to make the above recording.
http://www.emgo.org/performers.htm via Geek Dad
http://en.wikipedia.org/wiki/Interval_(music)#Consonant_and_dissonant
Bear in mind that Sumer's civilization declined a good 2000 years before Pythagoras, who -- through his exploration of ratios -- was considered the inspiration for Western music theory sensibilities. (Pythagoras supposedly lived about 500 BCE.)
Sumer was also about 2800 miles away from Greece, which was a bit of a backwater in those days.
Anyhow, a lot can happen in 2000 years, is all I'm sayin'. The Sumerians had some very different ideas about life, the universe, and everything than the Greeks of Pythagoras' day.
Number 1 with a slingshot.
I guess some people have to make a name for themselves somehow, even if it's all make-believe.
Sigh.