I got a couple PMs about this, so here's a quick and dirty translation. I'm not going to bother pointing out the myriad holes in some of the ideas and how he came up with them, because I think it's readily apparent, but here it is. By the way, in some of the comments below the initial post, the author clarifies that he's talking about real time (not Eorzea time), so this would all be JST time, at least for a Japanese server, so likely it's whatever your server's local time is if it's correct. Interestingly enough, there seems to be more positive comments with people expressing appreciation or mentioning that it's working for them than there seem to be negative comments, so perhaps there's something to it.
Everything below the line is translation of the linked blog, nothing is my comments/opinions.
http://jp.finalfantasyxiv.com/lodest.../blog/1049228/
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The first day of atma collection. There was no sign of any at all even though I had been doing FATEs around Central Shroud for hours. However, as soon as I changed areas, I got an atma right away. I thought this was a bit strange, so after I began collecting some of the atma, I came up with a theory that there had to be some mechanic behind obtaining them. Here's my hypothesis, which you can independently verify. I believe it should be quite helpful since I was able to obtain 10 atma in just two days.
Time ranges for best drop rate (I recommend arriving 15 minutes before the start to be safe):
Maiden - Central Shroud: 1:00~
Scorpion - Southern Thanalan: 2:00~
Water Bearer - Upper La Noscea: 3:00~
Goat - East Shroud: 4:00~
Bull - Eastern Thanalan: 5:00~
Ram - Middle La Noscea: 6:00~
Twins - Western Thanalan: 7:00~
Lion - Outer La Noscea: 8:00~
Fish - Lower La Noscea: 9:00~
Archer - North Shroud: 10:00~
Scales - Central Thanalan: 11:00~
Crab - Western La Noscea: 12:00~
I had a lot of different ideas at first, but it seems like the atma change out every hour in the order they appear in the journal. I was able to get from Scorpion all the way to Scales all within one hour each. It took about 30 minutes average in each zone, some as fast as 15 minutes, and some as long as 50. It still takes some plugging away because even when it's higher, the drop rate still seems to be slightly lower than 10%.
However, this didn't work out for Crab and Maiden. I got Maiden in a FATE I had participated in by chance at 20:58. For the Crab, I started it at 0:00 that night, and I finally got it on the third day at 13:20 after starting at 12:00. I think the 12 hour rule may work differently for the first and last atma.
You can only get four easy drops in a 12 hour period. Although I was able to reliably get four atma based on the rules above, the fifth would not drop at all the first time. It seemed like I was only able to get four, so I started again from there next day. From adventurers I had parties with, I gathered that the number you can get per day might be limited. Because I have heard of people who have gotten all of them in one day, I don't think this is a total limit, but my guess is that you can only get up to four at the easy drop rate in 12 hours, and those who said they got them all in a day might have taken a bit more than 24 hours (28 hours would be the shortest time with the rules above).
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