"Jindou" it's a near-future sport where you fight with real swords that's really hot in Japan in the 2040s. Two girls enrolled into Murakumo Academy where said Jindou is taught. One of them is Kazamine Setsugekka, a rough and emotionally-driven girl who bolsters her blade with the unparalleled strength within her. The other is Suzakuin Momiji, a cool headed and incredibly precise girl with a prodigious sense for swordplay and a frightening sharp mind. These two, whose circumstances and personalities are completely different, both aim for the the title conferred upon the strongest in the academy, the "Toujinegi".