屐 Origin — Dong Chinese Dictionary

jī

wooden shoes

Phonosemantic compound. 履 represents the meaning and 支 represents the sound.

Components

lǚ to tread on, shoes

支 Sound component

zhī support, hold up

Change in sound

屐 and 支 don't sound similar in modern Mandarin due to historical phonetic changes. They were more similar in Old Chinese.
屐 *Cə.[g]rek
支 *ke

Regular Modern

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	Middle Chinese	Old Chinese	Gloss
Baxter-Sagart	gjaek	Cə.[g]rek	wooden sandal

《說文》：“屐，屩也。从履省，支聲。”