How thick is tsuka Ito?

Excuse me, I was wondering if you could clarify something for me about tsuka ito. Specifically, I'm curious about the thickness of this material. I understand that it serves a crucial function in the construction of traditional Japanese swords, providing a grip and adding structural integrity. But I'm having trouble finding a definitive answer on its thickness. Could you perhaps shed some light on this for me? Is there a standard thickness that tsuka ito typically adheres to, or does it vary depending on the sword's intended use or the preferences of the swordsmith?