Greek mythology isn't the equivalent of the Bible or the Qur'an. There is no standardized version of any myth. Myths aren't sacred. Whether you happen to be Homer, Aeschylus, Sophocles, Euripides or any other Greek, or even you or me, every myth is yours to tell and interpret any way you like.
Just to give one example. An oracle has decreed that Oedipus will kill his father and marry his mother. In Homer's version, Oedipus carries on ruling...