What Ancient Greek Music Sounded Like: Hear a Reconstruction (2013)
openculture.com
openculture.com
http://www.bbc.com/news/business-24611454
Especially when the original is written by the author of the research.
https://www.youtube.com/watch?v=KP-4vF5JYxk
They play ancient and medieval vernacular music on largely self made authentic instruments. Their approach is that at the time, it was probably played by and for young people having a good time, rather than professors in music history, so their shows are loud and energetic.
If you like that, check out Eluveitie's "Evocation" album.
I know it looks a bit crazy now, but so did free universal healthcare 40 years ago if you think about it.
It's also not at all apparent that the Greeks used the mathematically pure ratios (2:1, 3:2, 4:3, 9:8) consistently in real music. One of the earliest debates in music theory is whether we should trust the ratios or the ear: Aristoxenus was advocating in the 4th c. BCE for a phenomenological view of intervals.
(And Ptolemy, whose intervals are supposedly used in this recording, had some truly bizarre scales in his text. He only allowed superparticular interval ratios, and so the standard Pythagorean semitone of 256:243 appears nowhere in his text.)
https://en.wikipedia.org/wiki/Seikilos_epitaph
Interesting historical anecdote, from the wikipedia article:
According to another source the stele [inscribed with the song], having first been discovered during the building of the railway next to Aidin, had first remained at the possession of the building firm's director Edward Purser, where Ramsay found and published about it; in about 1893, as it "was broken at the bottom, its base was sawn off straight so that it could stand and serve as a pedestal for Mrs Purser's flowerpots"; this caused the loss of one line of text, i.e., while the stele would now stand upright, the grinding had obliterated the last line of the inscription.