Danai is a female Greek name, whose roots are found in the very same origins of the Greek nation as well. Danai comes from the Greek word “Danaoi”, the one of the three tribes that compound the Greek nation in the early ancient years, along with the Achaean and Iones. Danaoi is a word used by Homer first, who wanted to designate the Greeks as one nation when describing the facts and events of the Trojan War, and is the name of the tribe that established itself in the Peloponnese.
Sound 
of Name Danai: Da-ná-ee
Male Version of name Danai: Daniel
Nameday of name Danai: December 17th
Origin of name Danai – Agios Daniil – Saint Daniel
We already mentioned the etymology of the name, but why do we celebrate the name Danai? And where does it refer to? First of all we have to say that Danai as a name, and not as a word of the Greek language, was first used in the ancient years.
Danai was a woman, who according to the Greek mythology, was beautiful and charming, thus, mighty Zeus fell in love with her. Her father put her in prison, in order to protect her from the Gods, because of an omen he had received, but Zeus transformed himself into rain and fell in the prison where Danai was held and made love to her. The result of this intercourse was Perseus, the renowned hero who killed Medusa.
Although the name Danai is ancient, the Greek Orthodox Church recognizes it as a Christian name; according to the Calendar, name Danai is the female respective of the name Daniel.
Daniel was a Hebrew prophet; we learn about his life and his story from the Book of Daniel included in the Bible – Old Testament. Daniel lived in Babylon, and he was a servant at the court of the king. He managed to earn prominence and the King’s favor interpreting his dreams. According to the Bible, Daniil was the one who had four visions for the end of the world. His memory is celebrated on December 17th, and Danai also celebrates her nameday then.
Nicknames deriving from the name Danai
Danai doesn’t have any known or popular nicknames and diminutives deriving from the full name.
The Names’ Fairy reveals the meaning of name Danai
Danai is a strong woman but quite sensitive. She is pretty much attached to her family and friends and she can be very creative person if found at the right environment.
Daniel the male variation and is also the name of the (fallen angel who dit not side with the rebelling angels or with the most high, instead opted neutrality and unconditional love) (Δανειήλ), also spelled Dânêl, is an angel, the seventh mentioned of the 20 Watcher leaders of the 200 angels in the Book of Enoch, who taught the “signs of the sun” to humans. The name is translated by Michael Knibb[1] as “God has judged”.
Conversely, according to Francis Barrett in The Magus, Daniel is the name of one of the 72 holy angels bearing the name of God, Shemhamphorae.
Daniel is one of the highest-ranked angels in the universe. He is also considered the angel of marriage, the angel of universal love, and the principle guardian angel.
Danai is also an African name of the Shona language. It means to call Love.
With Dana being the verb to call and Dananai being the verb to love one another