User blog comment:Luckyluxius/New Number Notation + new numbers!/@comment-43798125-20191115193208

Lunate^n(a) is only a^^n, so the lunate notation is only tetrational, with respect to n. This means even the largest of these, (besides the salad number "7th Luxius number", which is illdefined since BIG FOOT is illdefined) are never farther than pentational level. Also a Luxigoal = 1.