Meiji Tokyo Renka Full Moon

The protagonist, a quite normal high school girl named Ayazuki Mei, meets the self proclaimed illusionist Charlie on a night with a red full moon. Due to his hand she travels through time to the Meiji era of Japan. There, where Mononoke had been observed, was a sort of mysterious Meiji Era "Tokyo".

Following Charlie's lead, she arrives at the Rokumeikan building.
Waiting at the party the protagonist sneaks into are an assemblege of historic personages. Ogai Mori, Shunsou Hishida, Otojirou Kawakami, Kyoka Izumi, Fujita Goro, and Yakumo Koizumi.

During the protagonists interaction with those men, the prized Meiji Era ability to see Mononoke "Tamayori" is awakened within her. Because she holds this power, her relationship with those men evolves...

In an unfamilier era, an awakening of love blooms by living among these handsome men and interacting with them.

Will the protagonist return to her original time? Or...?

A love that crosses space-time... What could the conclusion be?