"Variant of Danae"
The name Danai is commonly a female name from the "Greek" origin.
Danai is a transliteration of the Greek feminine name spelled in Greek as Danae in the classical English convention. In Greek mythology Danae was the mother of Perseus, and the form Danai is used as a given name in modern Greek.
Danae means "God is my judge. A feminine form of Daniel".
The pronunciation of Danai is duh-NYE.