This 1st century AD fresco from Pompeii shows a singer/actor with his theatrical mask on the top of his head, and a lyre player playing a 9-string lyre.
Homer’s Iliad is traditionally performed by two such people. Indeed, at the time, the Iliad was the most popular show in Ancient Rome. Each line in the Iliad is played to six beats, and sung to notes on the lyre tuned to the enharmonic genus, playing notes in the ancient dorian scale.
So, we know the musical chords Homer composed for the Iliad. We know the drum beats. We know the lyrics. We just don’t know the melody.