My name is Vantol Aviner and here is my story of triple melding Felt Hat of Intelligence (Blue)+1 (looks like noone visits other forums, so I'll leave this thread in "General" so more people can see it and optimize their melding).
Equipment used (people say it's irrelevant for melding, but just in case):
Head: Weaver's Gibus
Hand: Electrum Needle+1 double melded (+30 DEX) (Luminary Needle for melding in case there is some meld+ hidden stat)
Body: Felt Gown of Mind
Belt: Dodoskin Shepherd's Belt
Hands: Storm Sergeant's Shortgloves
Legs: Felt Chausses of Dexterity (Blue)+1 melded with +6 DEX
Feet: Storm Sergeant's Crakows
Earrings: Coral Earrings +1
Neck: Electrum Choker +1
Bracelets: Militia Wristlets
L.Ring: Stormbringer's Ring
R.Ring: Spinel Ring +1
Phase 1
First I gathered +1 materials for ~100 synths. With around 75% success rate (HQ% during synths was usually 40-60) I got ~75 Felt Hat +1 (didn't really count) and, as a result, 50 Felt Hat of Intelligence +1 (actually 48, but let's pretend it was 50 for smoother numbers). It's lvl 50 synth, so it's ok, I can live with that.
Phase 2
Then I bought 100 Intelligence+15 materia (it was hard to get - first I bought all available on AH then shouted in Ul'Dah for 1-2 weeks, last 25 went for 400-500k per piece).
Phase 3
Again, I waitied for the Full Moon, equiped Luminary Needle, got Master's Clothshop, drunk Mulled Tea (just in case),sacrificed chicken, went to lonely zone. First I melded 50 hats with 1 materia and started melding second materia. X-failure, O-success.
1-8:X
09: O
10: O
11: O
12: O
13: X
14: X
15: O
16: X
17: O
18: O
19: X
20: X
21: O
22: O
23: X
24: O
25: X
26-50: X
So, out of 50 hats+1 I made 9 double melds. Avarage success rate was 18% when officially it was stated as 27% (Really, SE? Really?! It's not even close mathematical error!). The point of this post is that for the first 25 hats success rate was 36% (with the peak in the middle) and for the second 25 hats success rate was 0%. The only conclusion I can make is that after a few melds success rate lowers drastically.
Phase 3
First I bought 9 Intelligence+20 materia. Then to nullify my "luck" I moved to another zone, twice changed class, logged off for 1 hour, then again changed zone. It was still Full Moon. Success rate for triple-meld was 12.35% so by that time I just wanted to blow up all those hats and be done with it. And so I started.
1: O
Aaand I sopped right there with 8 hats pending. From now on I'll do only a few melds per day. So this journey alltogether costed me 105 millions gil and month of hard work. It left me devastated and with only 56k gil in the pocket, but still, it was successfull and now I have INT+55 hat.
TLDR. Conclusion. When doing double melds it's optimal to do 10-15 in a row per day, not more, because after a few melds your chances lower drastically.
I hope this my hell trip will help you optimize melding and save you millions. Thank you.
P.S. While we are on it. If I can make 1 more triple melded hat I wish to sell it for 50 mil, which is 2 mil less than production price. It will take me 1 week more (2-3 melds per Full Moon). You can contact me in the game during GMT time.