Can Holiness Exist Without a Holy God?

The main topic of Euthyphro is piety. What is pious? In the Christian faith we believe that our God is holy but, in Greek mythology this book brings up an interesting topic. Did the Greeks believe their gods were holy? Throughout Greek literature we can see that the gods are fickle in their actions. They may say they are holy throughout the text but, we can also see that this doesn’t line up with their actions. I would argue that none of the gods in Greek literature are holy. Which brings up the argument, can holiness exist without their being a holy god? If this is true, then there is no rule for holiness. Therefore, there is no way to determine right from wrong.

P.S.: I commented on Hannah's and Sierra's posts.