Conversation so far:
What was platos use of myth?
the influence of Pythagoras upon Plato also appears to have significant discussion in the philosophical literature.
What types of myths were there?
There is evidence that Plato possibly took from Pythagoras the idea that mathematics and, generally speaking, abstract thinking is a secure basis for philosophical thinking.
Was there any specific type of a myth that Plato mentions?
Plato, in general, distinguished between three types of myth.
What were these types?
First there were the false myths, like those based on stories of gods subject to passions and sufferings, because reason teaches that God is perfect.
Was there more to the type of myths?
Then came the myths based on true reasoning, and therefore also true.
Finally there were those non verifiable because beyond of human reason, but containing some truth in them.

Question: It seems there are more types of myths, Were there a few more?
Self-contained rewrite: Were there a few more types of myths distinguished by Plato?