I'm going to direct you to a previous answer I did on this subject. Let me know if you have any follow up questions. https://www.reddit.com/r/AskHistorians/comments/4j7k1g/how_do_we_know_what_the_music_of_ancient/

Piggy backing: I've always thought Latin was quite beautiful and would like to listen but am not sure where or if there are modern recordings of ancient music; Latin or otherwise. Maybe someone can help out.