One nation, two men anointed king.
Saul is the people's choice, that is, the kind of king that the people wanted. A proud and fierce man, who battles for his authority and his country. But God's Spirit has left him, and an evil spirit troubles him.
David is just a youngster, who must pass through many troubles before his rule begins - but he is God's choice, the man after God's own heart, who desires above all else, to please God. On him, God's Spirit has come.
And now we see the two together, Saul the present king, troubled by his evil spirit, and David, destined to be king, playing his harp, and bringing comfort and healing.