I recently wrote an article about Leonardo Da Vinci called "Leonardo: Painter And Musician?" It talks a lot about how besides being one of the greatest painters of all time, he was also a musician. If you like the hub, please go and vote for me. I was nominated for The Top Of The Class Contest. Go look for it because if you're interested. I can't post the link because of the rules. Either way, let's chat about it.
Music is also a major subject in many educational systems especially the nations with the highest scores in reading, math, and science. Japan is an excellent example. So yes, in ancient Greek education, it was important and still is today. It's just the U.S. doesn't emphasize this importance. In my opinion, this is cause of the failing U.S. education system.
I did not read the article, but I'm sure he was also into music. Music has a mathematical basis, and it was one of he major areas of study in classical Greek education. He was also the ultimate cynic-- which probably drove him to explore every subject of knowledge.