Although I’m 99% sure you have all this down, I feel obligated to share these pages with you, @toranosukev
Okay, Triforce. This is called Hōjō uroko / mittsu uroko (3 scales). Hōjō Clan used it—they had castles in Yorii Saitama, here in Hachioji, down in Odawara. From legend where a woman appears to Hōjō on Enoshima, turns into a snake, leaves behind 3 scales.
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In my town, a group of several dozen people crafts their own battle gear and marches in the Ichou Festa parade under the Hōjō scale banner. They guide people around the Hachioji Castle ruins too. Their org is called Mittsu Uroko Kai.