Attack value = basic value x character attack up(A) x element attack up(B)
Character attack up(A) = 1 + weapon skill attack up + skill character attack buffs + eidolon effect character attack up + eidolon summon effect attack up
Element attack up(B) = 1 + eidolon effect element attack up + skill element buffs + eidolon summon effect element attack up
Comments:
To get the max output, you should consider to buff both factors A and B equally.
For A: It's easy to have 100%+ for character attack up through weapon skills. For example 10 SR assault weapons with lv8 weapon skill each will give you 70% attack up in total.
For B: Eidolon effect is the only source which gives you a permanent bonus.
For example:
1. You have no assault weapon equipped.
Eidolon (Ifrit) gives 50% character attack up
AxB = (1+0.5) x 1 = 1.5 ---> 50% boost
Fafnir gives 40% element attack up
AxB = 1 x (1+0.4) = 1.4 ---> 40% boost
In this case, you can take the figure like it is.
2. You have 70% boost through weapons.
AxB = (1+0.7+0.5) x 1 = 2.2 ---> 220% basic attack with Ifrit
AxB = (1+0.7) x (1+0.4) = 1.7 x 1.4 =2.38 ---> 238% basic attack with Fafnir.
Result:
By only 70% attack up through weapons, Fafnir gives you 18% more damage boost than Ifrit, even the base attack up number is smaller (40% to 50%). We only consider the first value to show the difference between character attack up and element attack up, the second value 20% burst damage by Ifrit is not considered.
For Attack, Eidolon with element attack up is far superior to those with character attack up, unless you still need some HP boost too.
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Debuff - Defense down.
A simple way to increase your damage output is debuffing. The most attack up buffs based on skills are summational to character attack up (Factor A). The more boost you get through your weapons skills, the less effective the attack-up buffs are.
Debuff defense down is not affected by any other factors. The increase is fixed.
The formula
Damage output = Attack Value / (1- Defense down value)
That means,
10% Defense down = 1.11 x attack
20% Defense down = 1.25
30% Defense down = 1.42
40% Defense down = 1.66
50% Defense down = 2
With 50% (max. limit) defense down on boss you (when raid your whole team) have doubled the damage output or with other word you have 100% increase of your own attack value, no matter how many boost you get from your equipments.
At the Endgame you will aim for the max. debuff down as possible. Debuffs with different frames are stackable, so you can reach the maximum of 50%
The are 3 types of frames (A, B and C)
A: Single debuff
B: Attack and defense down
C: Special
The only kamihime with C frame Defense down are Cthulhu and thanatos (not released yet, Cthulhu is coming, Thanatos maybe more than 1 year)
Attack down is useful for your survival. Max. 50% damage cut is a lot. There was no limit for attack down in the past, until it got fixed.
With the time you will max your weapons, then some kamihime will make the difference.
The essential SSR kamihime, which are available now, are Dark Amon, Light Sol and Fire Amaterasu. All three are good debuffers, fitting in every kind of teams as Sub. Sol gives heal, Amon gives more control in boss fight and Amaterasu can everything (healing,buffing and debuffing).
Light has Sol, Sol solves.
Dark lacks a healer. First one will be Osiris. End of 2017 maybe. In any other aspect Dark is strong.
Fire has Amaterasu and strong damage dealers. Fire Eidolons provide also more attack buffs than others. Also SR like brynhildr is better than some SSRs.
Water type has Cthulhu and dragon king later. Water has strong debuffers, strong healers (SSR Nike / Aphrodite) and broken damage dealer such as Shiva. The playstyle may be boring on long-term.
Thunder is burst dmg focused, good for MVP stealing, but not really good for Endgame content at ragnarok level. You will need special SSR such as Caocao Hualin, which cannot be bought with the "choose the SSR you want" ticket.
Wind will become good with Gaia(Awakening) and some new SSR, before that wind is "just for fun".
With the release of 100% (max 125%) element attack up Eidolon (Belial, Kirin etc) the balance is totally broken... If you got one, you really don't need any good SSR to be good... Many players with fully optimized SSR team had quit the game, just because they didn't have the luck getting one of those broken eidolon spending tons of money and got beaten in damage by those with crap setup but op eidolon.
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Sorry for my bad english and existing grammar errors.