Seirei Tsukai no Blade Dance

Only a pure maiden can have the privilege to contract with a spirit. Priestesses, who can summon spirits from Astral Zero, the world of spirits, and have full command of their power, are called elementalists. Kamito Kazehaya is the only male with this privilege, and due to what happened in the past he comes to Areisha Spirit Academy where priestesses are trained to become elementalists. He is then told that he is to transfer to the school, form a team with priestesses to compete in Blade Dance where the most powerful elementalist is chosen, and win.

(Source: Crunchyroll)