Zero Damage Formula plus Actual Testing Results

Hi all,

I've frequently visited Southperry for damage formula questions and I have learnt quite a lot (i.e % boss stacks with % dmg). Now its time for me to give back to the community through my own testing of the formulas (some of which is already known and can be found by searching this forum). However, I thought it'll be good to consolidate it here for people building their own damage formulas.

Damage Range
The results are as follows:

• Always round down after each calculation
  
• Base mastery is 20%. Final mastery after mastery is 90%.
  
• Maple Warrior - applies only to base stat
  
• % stat applies to all equipment stats. % stat does not affect Card Set and Inner Abilities
  
• Alpha & Beta Weapon Multiplier is 1.34 and 1.49 respectively
  
• Base Range formula is (Str x 4 + Dex) x (WA x (1 + %atk)) * Weapon Multiplier
  
• Displayed Range is Base Range x (1+ % Dmg) [tested only for skill/link skill % dmg as I don't have % dmg on potential]
  

Actual Damage
Tested on snails with normal attack. 103 crits and 32 non-crits.

Parameters:

• PDR - 10%
  
• Base Range - 259,477
  
• Displayed Range - 363,267
  
• % Dmg +40%
  
• % Min Crit - +75%
  
• % Max Crit - +115%
  
• % Def Ignore (multiplicative) - 70%
  

	Calculated Damage	Actual Observed Damage
Min Dmg	318,589	319k
Max Dmg	353,988	351k
Avg Dmg	336,289	336k
Min Crit Dmg	557,531	561k
Max Crit Dmg	761,075	732k
Avg Crit Dmg	659,303	650k

Actual Boss Damage
Tested on Lady Boss with normal attack. 59 crits and 38 non crits.

Parameters:

• PDR - 25%
  
• Base Range - 259,477
  
• Displayed Range - 363,267
  
• % Dmg +40%
  
• % Boss Dmg +266%
  
• % Min Crit +75%
  
• % Max Crit +115%
  
• % Def Ignore (multiplicative) - 74%
  

	Calculated Damage	Actual Observed Damage
Min Dmg	887,579	885k <-- only saw 1 number fall out of range
Max Dmg	986,199	980k
Avg Dmg	936,889	933k
Min Crit Dmg	1,553,263	1,556k
Max Crit Dmg	2,120,328	2,056k
Avg Crit Dmg	1,836,796	1,807k

Re-tested on Bodyguard A with normal attack due to out-of-range observation. Decent Sharp Eye (-15% max crit) and MW off this time. 55 crits and 46 non crits.
Parameters:

• PDR - 25%
  
• Base Range - 237,340
  
• Displayed Range - 332,276
  
• % Dmg +40%
  
• % Boss Dmg +266%
  
• % Min Crit +75%
  
• % Max Crit +100%
  
• % Def Ignore (multiplicative) - 74%
  

	Calculated Damage	Actual Observed Damage
Min Dmg	811,857	810k <-out of range again
Max Dmg	902,063	897k
Avg Dmg	856,960	853k
Min Crit Dmg	1,420,749	1,444k
Max Crit Dmg	1,804,126	1,724k
Avg Crit Dmg	1,612,438	1,593k

Actual Damage Formula
The results are as follows:

• Actual Damage = Base Damage * (skill %) * (1 + %boss + %dmg) * [1- (PDR*(1-%def ignored)]
  
• Result of testing relatively close to calculated damage, with non-crit dmg falling out of calculated range. Could there be another monster stat reducing dmg slightly?
  
• Apply mastery for minimum damage
  
• Apply crit % accordingly
  
• This meant that %boss and %dmg are indeed additive
  

*note: I found that there is 3% def ignored unaccounted for by skills, cards and equipment. Anyone know if Zero has a base def ignore of 3%? Solved. Its profession bonus.

This is really good, and all your calculated numbers are very close to the observed numbers. I've been thinking about doing something similar for Kanna, which I hope to use to see the marginal gain from things like %m.att, %dmg, etc. as well as estimate performance on different bosses.

Base Range formula is (Str x 4 + Dex) x (WA x (1 + %Dmg)) * Weapon Multiplier

don't you mean %attk in the (1+%dmg) part? or something else, because you're multiplying the %damage again in your next sentence

Displayed Range is Base Range x (1+ % Dmg) [tested only for skill/link skill % dmg as I don't have % dmg on potential]

don't you mean %attk in the (1+%dmg) part? or something else, because you're multiplying the %damage again in your next sentence

Hi. You're exactly right. Its a typo error. Should be % atk. Will change that

This is really good, and all your calculated numbers are very close to the observed numbers. I've been thinking about doing something similar for Kanna, which I hope to use to see the marginal gain from things like %m.att, %dmg, etc. as well as estimate performance on different bosses.

Hi, that'll be great, we can see if your min non-crit dmg for Kanna will stay in range or not. I'm currently using the damage formula to decide which gear to upgrade to, as % dmg is quite deceptive due to its effect on range (but stacks additively with %boss)

Hi, that'll be great, we can see if your min non-crit dmg for Kanna will stay in range or not. I'm currently using the damage formula to decide which gear to upgrade to, as % dmg is quite deceptive due to its effect on range (but stacks additively with %boss)

The funny thing about kannas is that they have extremely high %m.att bonuses compared to other jobs. On my kanna I get 168%m.att from hakus fan, which puts a twist on the att%>dmg% idea a lot of people throw around on other forums.

One problem I've run into is finding the weapon multiplier for fans. Where did you find the multiplier for zero's weapons?

One problem I've run into is finding the weapon multiplier for fans. Where did you find the multiplier for zero's weapons?

I suggest you make a new Kanna on a new account (so no character cards, link skills, monster farm, or any other account-wide effects to confuse things), and calculate it. Plug your m.att, int, luk, and (top) damage into the damage formula, and solve for the multiplier.

The funny thing about kannas is that they have extremely high %m.att bonuses compared to other jobs. On my kanna I get 168%m.att from hakus fan, which puts a twist on the att%>dmg% idea a lot of people throw around on other forums.

One problem I've run into is finding the weapon multiplier for fans. Where did you find the multiplier for zero's weapons?

Joetang did that for me a while ago, don't remember which thread. 1.32 and 1.45 for Al and Be respectively. Some other said that its 1.34 and 1.49.

Doing the same calcs on a secondary zero w/o a set of anysort and clean weps it falls in the 1.3-1.35 range for Al and 1.45-1.5 for Be.

I should check it again since I do still have a few clean lv 100 Zero's but the game is being meh b/c of the update so it'll have to wait a few days.

Joetang did that for me a while ago, don't remember which thread. 1.32 and 1.45 for Al and Be respectively. Some other said that its 1.34 and 1.49.

Doing the same calcs on a secondary zero w/o a set of anysort and clean weps it falls in the 1.3-1.35 range for Al and 1.45-1.5 for Be.

I should check it again since I do still have a few clean lv 100 Zero's but the game is being meh b/c of the update so it'll have to wait a few days.

Its confirmed to be 1.34 and 1.49. My damage calculator is able to replicate the character stats window range so I know its correct.

The funny thing about kannas is that they have extremely high %m.att bonuses compared to other jobs. On my kanna I get 168%m.att from hakus fan, which puts a twist on the att%>dmg% idea a lot of people throw around on other forums.

One problem I've run into is finding the weapon multiplier for fans. Where did you find the multiplier for zero's weapons?

Well, im assuming the 168% you are referring to is the weapon multiplier of fans at 1.68x. But nevertheless, regardless of the multiplier, the m.att% vs dmg% comparison remains the same, since m.att% is multiplicative with the weapon multiplier.

Well, im assuming the 168% you are referring to is the weapon multiplier of fans at 1.68x. But nevertheless, regardless of the multiplier, the m.att% vs dmg% comparison remains the same, since m.att% is multiplicative with the weapon multiplier.

168% is referring to having +168% m.att bonus, where +200%m.att is basically tripling your base m.att.