I just had a rather incredible 24 hours. Not one but two Azures popped for me, a compatible breeding pair.

The first was out of 2 emperors I bred out last week. His mother was the result of a koi grandchild x koi great grandchild.
http://www.worldofmeeroos.com/meeroos/meeroo/1299080

The second was out of a pair of Koi grandchildren.
http://www.worldofmeeroos.com/meeroos/meeroo/1310015

So never underestimate the potential to throw from a few gens back.