I wouldnt write off atk so fast. Dont forget since everything but haste has diminishing returns, 'stacking' any 1 stat becomes a larger trade off the more of it you stack, while the reverse is true as well. Basically, the more multi-hit you have, the less effective adding more is. Also the less multi you have the more effective adding more is. Same for atk. The less you have the more important it is and vice versa.
The exact breaking points depend on the value of each compared stat and other junk (mob stats, etc). With that said, I wouldnt write off attack so fast when we have so much accesss to multi hit gear/atmas and still really short on the atk end as we always have been.
Also dont forget, all our crazy crit damage boost stuff is STILL affected by atk. Think of crit damage boost like piercing damage boost for crits. You dont stop using atk on birds because you get 'free' damage boost. You use as much as you can get because it is all multiplied by the extra 'free' damage.
So some hypothetical situations to consider:
Crit rate: RR+GH+Raider legs+Ddex+merits+base5%=78% crit rate.
Crit Dam: 8% trait, 30% RR=38% crit damage boost
DA: Twilight belt2%, Brutal5%, Atheling3%=10%
TA: Base+merits+Raid head=13%
So: (Assuming TA procs before DA based on a recent thread floating around here)
with an additional 10% DA from A/O atma:
Total additional hits per 100 base attacks: 151.4
With 15% from Apoc:
Total additional hits per 100 base attacks: 160.4
getting 5% more triple attack is a net gain of: 1604/151.5=1.0595 or 5.95% more hits.
Apoc gets 5.95% more hits over time than A/O atma under the above assumptions (TA procs before DA and in the listed gear).
So the question is, does 50 atk do more melee damage than 5.95% more hits (and it has to win by a decent margin to beat the associated 5.95% more TP as well. But much of that is lost in overflow, so it will not equal 5.95% more WS in practice).
Lets assume 1.0 pdif for both simplicity and the fact that thf atk generally sucks a lot.
A crit will put our ratio at 2.0. Multiplied by our 38% damage boose= 2.76x the damage of a non-crit. We crit at 78% crit rate with GH/RR/merits and Raid pants+2. So per every 100 hits landed:
78 will crit at 2.76x noncrit power.
22 will not crit and land for 1x power.
So you do the equvalent damage of 237.28 hits at 1.0 Pdif every 100 hits.
But we dont hit 100 timer per 100. With Apoc atma and DA gear, we actually hit (worked above) 160.4 times, or 160.4% more.
380.6 is our base number with apoc, GH, RR. Every 100 hits at 1 pdif, the multi hits and crits bring our total damage up 380.6%. Multi hits+crits make us do 3.8x more damage than 0 crits and 0 multi hits. Lets see what 50 atk might do at teh expense fo 5% triple.
Here I am just removing that 5% TA for the multi hit and boosting Pdif to account for 50 atk. 50 atk against an IT-ish mob starting at 1.0 should be 'roughly' 0.1 boost to Pdif. So instead of 1.0, we would have about 1.1. This is an estimate and can vary depending on your exact atk and the mob level difference, but it will be close enough to see if it is even in the same ballpark as 5% more TA. So lets go!
Same calculations as above but boosting the base Pdif to 1.1 and dropping the multi hit multiplier down from 160.4 hits (apoc) to 151.4 (A/O) gives us the damage equivalents of:
A crit at 1.1 pdif with 1.0 pdif boost from crit and 38% damage boost=2.1*1.38=2.89. A crit does 2.89x more damage than a 1.0 pdif hit.
78 will crit at 2.89x noncrit power.
22 will not crit and land for 1.1x power.
So you do the equvalent damage of 250.24 hits at 1.0 Pdif every 100 hits.
But again, were not hitting 100 times. Toss in the (5% TA lower) multi hits of 151.4 or 151.4% more hits and we get:
378.9 is our base number with A/O, GH, RR. Every 100 hits at 1 pdif, the multi hits, crits and 50 atk(+0.1pdif) bring our total damage up 378.9%. Multi hits+crits+atk make us do 3.789x more damage than 0 crits and 0 multi hits and +0atk.
With the following assumptions of:
Specified multi hit and crit rate gear(13% TA, 10% DA, 4% crit rate in gear)
RR+GH atmas (with 3rd being either Apoc of A/O)
That TA procs before DA
50 atk adds 0.1 pdif
Apoc does ~0.5% more damage than A/O.
The 5% TA rate is virtually identical to 50atk in raw DPS (wins by the SLIGHTEST hair, but considering the generalized nature of my assumptions, it is to close to call and can swing either way based on bajillions of factors)
However, this is only DPS. This does not include the extra TP from APoc. Nor does it attempt to calculate WS damage (gut says WS damage will favor A/O due to 8hit caps and only the ability for 2 hits to multi hit while atk affects ALL hits. Basically the amount of damage from multi hits drops through the floor on WS compared to TP). With increased TP from Apoc and increased WS damage from A/O, its probably, again, a wash and will vary a lot based on situation/WS spammage etc.
Long story short, it looks like (from some relatively basic) calcs that the overall they are to close to call without some really obscene and **** calcualtions for VERY specific scenarios. Heaven forbid you change the other 2 atmas, get any buffs, fight exceedingly high or low level mobs or use different gear than that listed for this example.
However, I will say that I originally placed my bet on A/O before this and now see that it is far closer than I had imagined. This also ignores the other aspects of the atmas. A/O shoots your HP total in the foot. Apoc gives perma RR and quick cast. Once you factor in those non-damage related pros/cons I will be personally be using Apoc over A/O from now on (once i get stupid apoc atma....) since the raw damage is not heavily skewed towards A/O as i thought it would.
Aanalaty, Mithra of San d'Oria
99Thf/99Drg/99Rng/95Pld/Secret Job 92
Maat-1/1 Thf Meleed (pansies steal)
Some of mah gearz: http://www.ffxiah.com/player/Lakshmi/Aanalaty#item-sets
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