To my ears, the lyre piece in the YouTube link starts out with God Rest Ye Merry Gentlemen and ends up with The Who. Haha, yeah the guy rocks out at the end. Will have to research how they could figure out the tuning and timing of that piece. Even modern, transcribed music is open to a huge amount of interpretation.
You know how hard it is to translate accurately between two modern languages. Nuance and colloquialisms kill translations all the time. Now someone is telling us that tuning and timing have also been figured out? My guess would be that it's ALL a guess.