OK so basically I couldn't get a straight answer from anyone on what was the best moon phase to HQ, so I took the two most common answers I found and tested them. Both of these synths use Earth Crystal.
Test Batch 1: Black Cloaks, LVL 89 Synth, Tier 1 Synth (99.6 Cloth, full subs), Full Moon 100%, Lightsday, Facing North east.
NQ: 15
HQ: 1
Crit Break: 2
Not very good results at all for a tier 1 synth, so I tried the next moon phase.
Test Batch 2: Arhat's Gi, LVL 89 Synth, Tier 1 Synth (99.6 Cloth, full subs), New Moon 2%, Windsday, Facing South east.
NQ: 30
HQ: 4
Crit Break: 2
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So after that I don't know whether or not I can conclude that the New Moon option is better. Sure, I have a better HQ:NQ ratio by far, but the thing is, maybe if I crafted more Black Cloak's like I did Arhat's, then I would have gotten more HQs.
I was 1/20 HQ on the Arhat's and then during the next ten synths did 3 more HQs, so is it just a matter of crafting more? I mean, does moon phase not really matter at all, or the direction you face? Or are these both just equally good phases/directions to face?
And if phase does matter, and both of these are equally BAD, please let me know when the good time is to phase. I'd appreciate it if people kept comments about, "lawl craft wen you think it is right" or, "when its full moon IRL!!!!11!11eleven!" to yourselves. I'm looking for serious info here.