The music of ancient Greece was almost universally present in ancient Greek society, from marriages, funerals, and religious ceremonies to theatre, folk music, and the ballad-like reciting of epic poetry. It thus played an integral role in the lives of ancient Greeks.
Youtube Playlist (click top right icon for songtitles)
There are some fragments of actual Greek musical notation, many literary references, depictions on ceramics and relevant archaeological remains, such that some things can be known—or reasonably surmised—about what the music sounded like, the general role of music in society, the economics of music, the importance of a professional caste of musicians, etc.
The word music comes from the Muses, the daughters of Zeus and patron goddesses of creative and intellectual endeavours.