My personal experience with getting atma from fates:
Last fates in a fate chain:
-Lower La Noscea - Enter Beastmen - 1/~5
-Western La Noscea - Breaching South Tidegate - 1/1 (requires fail of another fate?)
-Middle La Noscea - The Truth is out There - 1/1
-Eastern Thanalan - Attack on Highbridge: Act III - 1/1
All other fates:
0/~100
So does anyone have suggestions on chain fates in the remaining zones?
Central Shroud
Southern Thanalan
Upper La Noscea
East Shroud
Western Thanalan
Outer La Noscea
North Shroud
Central Thanalan
Yes I know people say that they got atma from other fates, but my drop rate is around 50% on these, so I'm gonna stick with them if I can.