How did ancient Greek music sound?

Armand D'Angour at the BBC:

Suppose that 2,500 years from now all that survived of the Beatles songs were a few of the lyrics, and all that remained of Mozart and Verdi's operas were the words and not the music.

Imagine if we could then reconstruct the music, rediscover the instruments that played them, and hear the words once again in their proper setting, how exciting that would be.

This is about to happen with the classic texts of ancient Greece.

It is often forgotten that the writings at the root of Western literature – the epics of Homer, the love-poems of Sappho, the tragedies of Sophocles and Euripides – were all, originally, music.

Dating from around 750 to 400 BC, they were composed to be sung in whole or part to the accompaniment of the lyre, reed-pipes, and percussion instruments.

More here.