Where does “かとて” come from?

かとて (Japanese) comes from Japanese 出, from Japanese 出る, from Old Japanese 出づ, from Proto-Japonic *intu.

Ancestry of “かとて”, step by step

かとて traces back through 3 separate lines of ancestry.

via Japanese 出

Step	Language	Word	Meaning
1	Japanese	出	the process of something coming out; something...
2	Japanese	出る	to leave a place; to go out; to come forth, to be...
3	Old Japanese	出づ	to come out, go out; to leave, depart; to show up
4	Proto-Japonic	*intu	—

via Japanese 門

Step	Language	Word	Meaning
1	Japanese	門	a gate; a sect, school of thought; a phylum,...
2	Old Japanese	門	a gate, portal; an entrance, gateway, opening;...

via Japanese か

Step	Language	Word	Meaning
1	Japanese	か	final interrogative particle, similar to a...
2	Japanese	いつか	sometime, at some point

Every word from Proto-Japonic *intu →Every word from Old Japanese 出づ →Every word from Japanese 出る →