Because Iori ICHIO, who was a disciple of Sansai, started the school upon receiving the permission from his master, it is also referred to as Ichio-ryu school or Ichio-ha group of the Sansai-ryu school.
三斎の門人である一尾伊織が許しを得て興したので一尾流（いちおりゅう）、三斎流一尾派などとも言われる。