wow, it's almost like it's random
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That would be 10,800 "at most" for all 9 jobs if the safety net guarentees an atma at 100 FATE completions. One could feasibly still get an atma crystal sooner if FATE RNG is kind. If you intend on getting all atma weapons, enjoy the 121,500 myth tome grind on top of the current RNG atma crystal grind.
Not that it has any mathematical backing. On DD
Went 324 fates in a party did not get a single atma
Went solo, camped 1-2 of the more remote fates on the respective maps generally the boss ones. Got my atmas in no more than 10 fate cycles, most of them on the 2 or 3 occurrence.
Yes I know I probably just got lucky, but i am throwing it out there if anyone else wants to try this method.