Of course, nobody knows what music sounded like 5000 years ago but I would like to think that some of it sounded like this. As far as I know, the Israeli archaeologists didn't find anything that could be used to make music. But the ancient Egyptians and Summerians used harps and while their cultures came later, certain kinds of technology like that used for harps and drums changed very slowly.
It has been speculated that this figure of a woman is carrying a drum under her arm - of course, nobody knows. That's the agony and ecstasy of archaeology, to seek, find and then, only speculate about the what, the how and the whatever.
Michael Levy has a whole page on his researches into the lyre. No stringed instruments were found at the site but that does not mean that they did not exist during this period: http://www.ancientlyre.com/historical_research/
A lovely artistic interpretation of what might have been: