Quite a few years ago I saw an article about an archeologist who had done a study of Babylonian harps, collecting everything he could find about what size they were, how they were made, and of what. Recording every drawing that showed players hand positions. He concluded they played mostly in the key of C. A recording was offered but it was too expensive for me.
Paniagua of Academia Musica de Madrid(I think) did a cd some years back that tried to recreate the music of ancient Greece. My impression was that his ideas were interesting, but fanciful.