The school was succeeded to by the three families of Furuichi, Kobori, and Kayano; therefore, they are called as the Furuichi-ryu school, the Kobori-ryu school, and the Kayano-ryu school respectively.
古市・小堀・萱野の三家で伝承したことからそれぞれ古市流(ふるいちりゅう)・小堀流(こぼりりゅう)・萱野流(かやのりゅう)とも呼ぶ。