User blog comment:DontDrinkH20/Some Explanations of Certain Large Cardinals/@comment-11227630-20181017041904/@comment-26428969-20181017150256

They would be very near reflecting cardinals. Certainely above

I believe they would immediatly under the reflecting cardinals, or intertwined (i.e. Σn-reflecting < Σn+1-correct < Σn+1-reflecting), I'm not sure which though.