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Critical Damage Multiplier

Fenris
Fenris
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Hey guys. I have been theory crafting on my total DPS output for an archer. Going on the information of @evedgebah on his thread....
evedgebah wrote: »
Hello everyone.

I've seen questions posted about maximizing DPS output and whether or not Spell Power/ Weapon Damage, Critical %, and/or Magicka/Stamina is best for focusing on in gear selections. As such, I did a search on the official forums for formulas and was surprised that I did not find a post with the exact formulas here. Thus, here they are:

Tooltip = (max_ABILITY + wpn/spelldmg × 10.46) × skill_coef × rank_coef

For the rest of the thread, I will abbreviate these values as such:
max_stamina/magicka: A (for ability, the game's labeling of magicka/stamina)
wpn/spell_dmg: P (for power, which the game uses for these collectively)
skill_coef: S
rank_coef: R
critical hit %: C (will be used later, stay tuned or skip ahead)

Thus, the formulas become:
Tooltip = (A+P×10.46)×S×R

What is my rank_coef?
Base is 1.00, add 0.01 for each rank (morph rank 1 counts as rank 5, or 0.04)

What is my skill_coef?
It varies for each skill, and you can calculate it if you really want to by fiddling with your stats in-game and a spreadsheet. I used to have a list, but it's long, inaccurate in the current version, and I'll leave that as an exercise to the reader. You don't need it really for stat comparison, but I'll explain that below.

How do critical hits and critical hit percent chance factor in?
Critical hits multiply your damage by 1.5 (~1.55 for shadow stone, more with divine trait gear). Thus, a critical hit ADDS 0.5 times your tooltip value. This event occurs only has a critical_hit% chance of happening. Thus, you can take your skill, multiply it by 0.5, and then multiply that by your chance of having a critical hit, and you get your added average benefit from your critical hit percent. Let's add it into our formulas.

Average Skill Damage = ((A+P×10.46)×S×R) + ((A+P×10.46)×S×R)×C×0.5
- NOTE: C is a percent value, so make sure to use 0.40 for 40% and so on.

This all seems awfully complicated, and my numbers don't match up right!
That's right, it is complicated, and the numbers don't work quite right. That's because these formulas were reverse engineered, and they involve something called truncation and/or various forms of rounding. For really advanced players, or those already comfortable with math, you'll figure out, in fiddling with the math above, that the values in those formulas are truncated at various stages. For the most part, the changes are so small that you can accept your values being off some and just ignore truncation in calculating your best setup of power, ability, and critical percent.

Lovely thread, complicated math, I have no idea what to do with this.
Find out what you want (max burst damage, highest ultimate generation, best overall DPS, etc) and use the math to help you. For simplicity's sake, you can frequently remove S and R from your math for ability/crit/power comparisons, as they'll remain constant (by comparison) no matter what skill you use. In doing calculations.

Resist
Damage Multiplier = 1- (TRUNC((RESISTANCE - PENETRATION) ÷ 63000),2)

TL:DR See above for variable definitions.
Average Damage = ((A+P×10.46)×S×R) + ((A+P×10.46)×S×R)×C×0.5

To the best of my knowledge, these values are accurate for ESO 2.0.3

I have set up some excel formulas to test out different things to maximize damage. I have come to the realization that my crazy high crit rate is not quite as good as just maxing out my weapon power, UNLESS I can get my critical damage multiplier up some more.

My question is, can you guys help me list out items that give crit damage multipliers? I cant find a comprehensive list.

1. I know about archers mind set, 5% non stealth

2. NB passive in the assassination tree, does it count for all abilities or just assassination abilities? (10%)

3. Shadow Mundus, Anyone know if it is 5% or 10%?

Are there any other ways to buff it?
  • Ygaer
    Ygaer
    Shadow mundus is 10%. I only play a sorc who started playing again recently, but doesn't the champ point option elfborn increase all crit damage too?
    Ygaer Meister - AD
  • Fenris
    Fenris
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    Oh yea, almost forgot that one!!
  • Athas24
    Athas24
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    Ya but Elfborn isn't working properly ATM From what I recall in a recent thread. :(
    ...OverTwerked & Underpaid.
    Rajaat04 in game @Athas24 on forums
  • Ygaer
    Ygaer
    There was a recent thread on tamriel foundry that indicated it was working exactly as you'd expect (1% elfborn brings crit damage to 151%)
    Ygaer Meister - AD
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