Meiji Tokyo Renka Movie 1: Yumihari no Serenade

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On an evening lit by a crimson full moon, an ordinary high school girl named Mei Ayazuki meets a self-proclaimed magician named Charlie at a festival. Through Charlie's magic, she time-travels to the Meiji era in Tokyo, where she meets and falls in love with various great historical figures from that time period. (Source: ANN)