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I forgot about the https://wiki.stararmy.com/doku.php?id=stararmy:weapons:yui_scout_ceremonial_sword
(It's technically a Tamahagane product)
This is essentially the OG version of the KaiyΕ Sword, and is of similar heavy weight and the same monomolecular edged zesuaium construction, propose Tier 3 (Heavy Anti-Personnel) using that and the other katanas as a guideline.