This lovely melody, written in the ancient Greek Hypophrygian Mode, can possibly be attributed to the ancient Greek poet & musician, Simonedes of Ceo .Simonides of Ceos (ca. 556 BC-469 BC) was a Greek lyric poet. He was born at Loulis on Kea. During his youth he taught poetry and music, and composed paeans for the festivals of Apollo. He was included, along with Sappho and Pindar, in the canonical list of nine lyric poets by the scholars of Hellenistic Alexandria. Further details can be found at:
Although initially the piece sounds as if it is in the Ancient Greek Mixolydian Mode (the equivalent B-B on the white notes of the piano - not to be confused with the Medieval "Mixolydian" Mode, which is G-G!), the tonality of the melody actually implies the Ancient Greek Hypophrygian Mode (G-G). Maybe it is this ambiguity of tonality which creates the haunting, mystical feel of this beautiful ancient melody?