Tsuka-ito the wrap of the tsuka, traditionally silk but today most often in cotton and sometimes leather.
A sageo (下緒 or 下げ緒) is a hanging cord made of silk, cotton or leather that is passed through the hole in the kurigata (栗形) of a Japanese sword's saya. There are a number of different methods for wrapping and tying the sageo on the saya for display purposes. Other uses for the sageo are tying the sword to the samurai and hojojutsu. The samurai felt the sageo formed a spiritual bond between them and the sword, and they were very particular about tying it correctly when the sword was not in use