-Kenjutsu (Otake lists Tachi, Ryuto and Kodachi under Kenjustsu)
--Tachi (Use of the single long sword against the single long sword)
---Omote no Tachi 4 forms
----Itsutsu no Tachi
----Nanatsu no Tachi
----Kasumi no Tachi
----Hakka no Tachi
I have put in the video below showing the breakdown of one of the kata. It is important to bear in mind the varying targets and weight of the content of each of the Katori kata.
---Gogyo no Tachi 5 forms
----Mitsu no Tachi
----Yotsu no Tachi
----In no Tachi
----Sha no Tachi
----Hotsu no Tachi
---Shichijo no Tachi 3 forms
----Toyama no Tachi (Otake: "ukifuni no kurai")
----Katanami no Tachi (Otake: "hasui no kurai")
----Agenami no Tachi (Otake: "sangetsu no kurai")
(Otake notes "The tradition also contains a large syllabus of secret sword teachings including fudochi-shinmyo-ken and tsubame-gaeshi.")
--Tachi (Use of the single long sword against the single long sword)
---Omote no Tachi 4 forms
----Itsutsu no Tachi
----Nanatsu no Tachi
----Kasumi no Tachi
----Hakka no Tachi
I have put in the video below showing the breakdown of one of the kata. It is important to bear in mind the varying targets and weight of the content of each of the Katori kata.
---Gogyo no Tachi 5 forms
----Mitsu no Tachi
----Yotsu no Tachi
----In no Tachi
----Sha no Tachi
----Hotsu no Tachi
---Shichijo no Tachi 3 forms
----Toyama no Tachi (Otake: "ukifuni no kurai")
----Katanami no Tachi (Otake: "hasui no kurai")
----Agenami no Tachi (Otake: "sangetsu no kurai")
(Otake notes "The tradition also contains a large syllabus of secret sword teachings including fudochi-shinmyo-ken and tsubame-gaeshi.")