What was the original tune of אז ישיר?

I was thinking about classical Jewish art from before the diasporas. אז ישיר comes to mind as probably one of the first classical songs that shaped and has been identified with the Jewish culture until today. There’s so many tunes for it, many based off of other songs or musical pieces. Do we know the original tune? Was it sung at the sea in the way we read it from the Torah?

What other classical Jewish works are there?