From what I've seen there are 3 contributing factors to increasing your chance at a HQ
#1 being as close to dead on fewell wise as possible
#2 an element is leaking
and #3 an explosion is about to happen
Everytime I have all 3 of these lined up I get a Tier 3 or 4 HQ. I have even managed to HQ when one or two of my fewells were off the mark by 1 or 2.
XI Wiki


