@MiraculousMongoose I don't think that's how it works. Legacies have very little power. So even if your great-grandfather is the king of the gods, if your great grandfather defeated some big monster (that's not even genetic) , you have no inherited powers.
It's not the more godly blood you have, the better. Heck, I could be a very far down legacy of all twelve Olympians but a child of a minor god like Khione would be more powerful than me.