In Greek mythology, Kleodora was one of the prophetic Thriai, nymphs who divined the future by throwing stones or pebbles. She and her sisters Melaina and Daphne lived on Mount Parnassus, where Delphi is located and was loved by Poseidon. With Poseidon she became the mother of Parnassus. In myths where demigods have two fathers the other is listed as Kleopompos. Parnassus is famous for creating a method of telling the future by using birds and founding the main city on Mt. Parnassus. Her father was the local river-god Cephissus of northern Boeotia.