Damage Calculation

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Damage Composition and Variance

Damage Composition

PSO2's damage is divided into the following:

  • Player Damage (Base Stats, Mag Stats, Augments, etc.)
  • Weapon Element Damage
  • Weapon Damage

In the case of Techniques, "Weapon Element damage" is not applicable.

Damage variance only applies to Weapon Damage. For this reason, there is no damage variance when attacking without a weapon equipped (AKA bare-handed). The minimum value of Weapon Damage always ranges between 10% and 90%. When under conditions which are too good or too bad outside the range of 10-90%, the resulting minimum Weapon Damage will always be capped within 10%-90%. A critical hit removes this variance, resulting in 100% of Weapon Damage being applied.

Maximum damage on a critical hit (Criticals are shown as blue numbers in-game):

Player Damage
Weapon Element Damage
Weapon Damage 100%

Non-critical damage under the best conditions:

Player Damage
Weapon Element Damage
Minimum Weapon Damage 90%
Variance

Non-critical damage under the worst conditions:

Player Damage
Weapon Element Damage
Min. 10%
Variance

As shown above, the damage variance only applies to Weapon Damage, thus it is less evident when observing only the total damage. Since Techniques do not have Weapon Element Damage, it is slightly easier to notice the damage variance compared to other types of attacks.

It should also be noted that Summoner Pets have a wide damage variance.

Damage Variance

The above section can be summarized as the following table:

Maximum Damage
Player Damage Weapon Element Damage Weapon Damage 100%
Minimum Damage Damage Variance

To determine the minimum damage, there are two broad categories.

  • Rare weapons (7 and above) → fixed 90%
    • Note that while it was previously possible to have less than 90%, it is no longer the case currently.
  • Non-rare → calculated based on the difference in DEX between the player and the enemy, weapon rarity, and weapon grind.
    • Common, uncommon, Red weapons, non-main primary types (Vibras Weapon's TEC power) → calculated minimum damage has a small modifier, resulting in generally less minimum damage.

In the case of non-rare, the value of minimum damage is not dependent on weapon attack. If we were to compare between a weapon with 500 attack and another weapon with 1000 attack, under the same surrounding conditions (same difference in DEX between the player and the enemy, same weapon rarity, same level of weapon grind), the calculated minimum damage of both weapons would still be the same.

See Minimum Damage for more details on minimum damage calculation.

Damage Calculation Formula

Damage Type Reference

When calculating damage, there is an implied understanding to what the damage type an attack is. There are many different attacks with varying properties affecting how damage is calculated.

Key:

Attack Power
The ATK stat from which the damage is calculated. Increasing the specified ATK stat will increase damage. Other ATK stats have no effect.
Defense Power
The enemy's DEF stat against which the damage is calculated. The higher the specified DEF stat, the less damage can be dealt to the enemy. Similarly, other DEF stats have no effect.
Weapon Element Damage
The ATK stat from which the Weapon Element Damage is calculated. This is dealt as elemental damage and is affected by elemental Part Boost multiplier. For example, when attacking an enemy with fire weakness with a fire element weapon, the Weapon Element Damage is increased by the enemy's fire Part Boost multiplier.
Part Boost
The specific type of Part Boost multiplier used. This differs for each part on the body of the enemy hit by the attack. If the Part Boost is specified as "RNG Pwr", the damage will be affected by headshot multiplier when attacking the head of an enemy. If the Part Boost is specified as "Elemental Attribute", the damage is considered as elemental attribute damage and is affected by elemental Part Boost multiplier. Note that this is independent from Weapon Element Damage which is always affected by elemental Part Boost multiplier.
Final Attack Type
The final damage type of the attack. This is used to determine the effects of class skills, Skill Rings, Potentials, etc. For example, if the Final Attack Type is "Ranged", the damage will be boosted by Ranger's skill "Advanced Precision Hit".

Base

Method of Attack Attack Power Defense Power Weapon Element Damage Part Boost Final Attack Type Notes
Normal Melee Attack MEL Pwr MEL Def MEL Pwr Melee Melee
Normal Ranged Attack RNG Pwr RNG Def RNG Pwr Ranged Ranged
Technique TEC Pwr TEC Def None Elemental Attribute Tech
Bare hands MEL Pwr MEL Def MEL Pwr Melee Melee
Talis Attack TEC Pwr TEC Def TEC Pwr Tech Melee
Harmonizer Normals TEC Pwr TEC Def None Tech Tech Enhanced Attack disabled
Jet Boots (Without Switch Strike) TEC Pwr TEC Def TEC Pwr Melee Melee
Jet Boots (With Switch Strike) MEL Pwr MEL Def MEL Pwr Melee Melee
Pets (Without Switch Strike) TEC Pwr TEC Def TEC Pwr Tech Tech Pets stats are used in lieu of weapons, not the stats of the Harmonizer.
Pets (With Switch Strike) MEL Pwr MEL Def MEL Pwr Tech Tech Pets stats are used in lieu of weapons, not the stats of the Harmonizer.
Pets (With Switch Shoot) RNG Pwr RNG Def RNG Pwr Tech Tech Pets stats are used in lieu of weapons, not the stats of the Harmonizer.

Class Skills & Others

Method of Attack Attack Power Defense Power Weapon Element Damage Part Boost Final Attack Type Notes
Guard Arts MEL Pwr MEL Def None Melee None
DS Whirlwind MEL Pwr MEL Def MEL Pwr Melee Melee
Katana Counter Edge MEL Pwr MEL Def MEL Pwr Melee Melee
Braver Combat Finish MEL Pwr MEL Def MEL Pwr Melee Melee
Sidestep Tackle MEL Pwr MEL Def MEL Pwr Melee Melee
SB Photon Blades MEL Pwr MEL Def MEL Pwr Melee Melee
Ranger Tools (Traps, Bullets/Rounds, Bombs) RNG Pwr RNG Def None Ranged None Stationary Fire, Mobile Fire, etc, not applicable
Stylish Roll Arts RNG Pwr RNG Def RNG Pwr Ranged Ranged
Rod Shoot TEC Pwr TEC Def TEC Pwr Tech melee Damage
Tech Explosion (Wand Focus) TEC Pwr TEC Def TEC Pwr Elemental Attribute Melee
Detonation Skills TEC Pwr TEC Def None Tech Tech
JB Double Jump TEC Pwr TEC Def None Elemental Attribute None
Elemental Burst TEC Pwr TEC Def None Elemental Attribute None
Soaring Blades Tackle MEL Pwr MEL Def MEL Pwr Melee Melee
Perfect Reversal B MEL Pwr MEL Def MEL Pwr Melee Melee
Switchblade Surprise (Form Potential) MEL Pwr MEL Def MEL Pwr Melee Ranged
SP Auto Action (MEL Pwr) MEL Pwr MEL Def None Melee None Not treated the same as a weapon
SP Auto Action (RNG Pwr) RNG Pwr RNG Def RNG Pwr Ranged None Not treated the same as a weapon
SP Auto Action (TEC Pwr) TEC Pwr TEC Def None Elemental Attribute Tech Treated as an uncharged technique with weapon scaling
Photon Blast (MEL Pwr) MEL Pwr MEL Def None Melee None Not treated the same as a weapon
Photon Blast (RNG Pwr) RNG Pwr RNG Def None Ranged None Not treated the same as a weapon
Photon Blast (TEC Pwr) TEC Pwr TEC Def None Tech None

Photon Art & Technique Exceptions

Method of Attack Attack Power Defense Power Weapon Element Damage Part Boost Final Attack Type Notes
Physical Moves from TMG PAs RNG Pwr RNG Def RNG Pwr Melee Ranged
Wild Wallop
Impact Slider Kick
Kamikaze Arrow Kick
Kickshot Combo Kick		 RNG Pwr RNG Def RNG Pwr Melee Melee
Kamikaze Arrow Dash RNG Pwr RNG Def RNG Pwr Ranged Melee
Volkraptor Explosion
Banishing Arrow Explosion		 None None None Attribute-less Not Applicable
Zanverse Boost Effect None None None Wind Attribute None Is not boosted by Wind Mastery skills

Maximum Damage

Maximum Damage
Player Damage Weapon Element Damage Weapon Damage 100%
Minimum Damage Damage Variance

To calculate the Maximum Damage as shown in the figure above:

  • Replace Attack Power, Defense Power, and Part Boost in the formula with their respective values.
  • Weapon Attack Power refers to the relevant Attack Power of the weapon, excluding Augments (affixes).
  • 1.05 is from the latent 5%, colloquially referred to as the "Mystery Multiplier" in the Japanese community.
    • This multiplier did not exist during PSO2's intial Japanese launch, however its existence was confirmed with the release of subclasses.
    • With the exception of a few attacks, all damage is eventually affected by it. The only exception currently confirmed is the direct damage from Zonde.
    • On a side note, when calculating enemy's attack multiplier based on red damage numbers when hit by an enemy's attack. Dividing the damage by 1.05 reveals a rounder value, suggesting that there is a high probability that even the enemies themselves are affected by this multiplier.
  • Total Multiplier is the product of all the relevant damage multipliers except Part Boost. This includes the 1.05, PA notation, Skills, Potential Abilities, etc.
  • For Pets, use Pet's Attack Power instead of weapon's.
    • Pet's default base ATK → Weapon Attack Power
    • Pet Plus Stats → Augments (affected by Shifta).
    • Stats from Sweets → Augments (unaffected by Shifta).
    • Interactions between Pet stats and Shifta will be explained in detail later in the section regarding buffs.
Damage Source = (Total Attack Power - Defense Power) x Part Boost

Weapon Element Damage = Weapon Attack Power x Element Percentage x Elemental Part Boost
(If Technique: Weapon Element Damage = 0)

Total Multiplier = 1.05 x PA Notation x Skill Multiplier x Potential Multiplier etc.

Maximum Damage = (Damage Source + Weapon Element Damage) ÷ 5 × Total Multiplier

Advanced Calculation (same formula but distributed into parts): Show/Hide 

Player Damage = (Total Attack Power from Base Stats, Units, Mag, Augments, etc. ÷ 5) × Part Boost × Total Multiplier

Weapon Attack Damage = (Weapon Attack Power ÷ 5) x Part Boost x Total Multiplier

Weapon Element Damage = (Weapon Attack Power x Element Percentage ÷ 5) x Elemental Part Boost x Total Multiplier
(If Technique: Weapon Element Damage = 0)

Defense Damage Reduction = (Defense Power ÷ 5) × Part Boost × Total Multiplier
		
Maximum Damage = Player Damage + Weapon Attack Damage + Weapon Element Damage - Defense Damage Reduction

Minimum Damage

Maximum Damage
Player Boost Weapon Element Type Weapon Damage 100%
Minimum Weapon Damage Damage Variance

As mentioned earlier in Damage Variance, weapons are divided into groups based on the formula used in the calculation:

  • Non-rare group consists of the following:
    • Weapons with 1 through 6 rarity.
    • Red Series of weapons.
    • Any weapon when using a non-primary ATK stat (e.g. Vibras weapon's TEC Pwr).
  • Rare group consists of other weapons not mentioned above.

Note that not all weapons have been thoroughly tested and there may be exceptions to the grouping and formula not yet discovered.

  • As of Oct 08, 2014, it was found that:
    • The following weapons shared the same formula as Non-rare group: Vibras Weapon series and Dalz Varley.
    • The following weapons shared the same formula as Rare group: Rikauteri.
  • Grind Modifier is defined as the growth rate of weapon stats based on the current grind level of the weapon. For instance, a weapon of 4 at +10 has 160% of its original ATK, which is equal to 1.60 in decimal format. In this case, the Grind Modifier used in the formula becomes 1.60.
  • As a reference, the following Weapon Modifier values can be calculated using the formula:
    • 4 - 6 +10 (Non-rare, Grind Modifier = 1.60): 30.0
    • 7 - 9 +10 (Non-rare, Grind Modifier = 1.75): 37.5
  • In the case of Pets, both Player's and Pet's DEX values are added together in the calculation.
    • It has not been verified whether Pet's DEX value is multiplied by PA DEX Modifier. Though for PAs with 100% DEX Modifier, the result of the calculation should be the same.
Weapon Modifier =
        Non-rare group:
                50 × (Grind Modifier - 1)
        Pets:
                -50
                (If self-inflicted damage, use 0 instead)

Guaranteed Minimum Attack = (Player DEX x PA DEX Modifier - Enemy DEX + Weapon Modifier) x 2

90% Cap = Weapon Attack Power x 90%
10% Cap = Weapon Attack Power x 10%

Effective Attack Power = 
        Rare group:
                90% Cap
        Else:
                90% Cap if Guaranteed Minimum Attack > 90% Cap
                10% Cap if Guaranteed Minimum Attack < 10% Cap
                Guaranteed Minimum Attack otherwise

Minimum Weapon Damage = Effective Attack Power ÷ 5 × Part Boost x Total Multiplier

Applying Buffs

Maximum Damage
Player Damage, Mag Stats | Weapon Element Damage | Weapon Damage 100%
Base Stats, Mag, Stat Ups, etc. | Augments | Photon Flare, etc. | Minimum Weapon Damage | Damage Variance

Fraction of stats caused by calculations from buffs are kept in calculation, even if numbers are rounded before being displayed in-game. Thus, when calculating damage, do not round off decimal values, as they can become significant under very high multipliers.

Based on the figure above, Base Stats, Mag, Stat Ups, etc. includes:

  • The player's base stats.
  • Mag stats.
  • Stat Up skills (e.g. MEL Pwr Up, RNG Pwr Up, TEC Pwr Up).
    • Mag-based stats skills such as Braver Mag are also included.
    • Skills which increase stats dynamically such as Photon Flare and Deadline Slayer are not included.

Stat buffs e.g. Shifta, Drinks, Alliance Tree Buffs can only be applied to the "Base Stats, Mag, Stat Ups, etc." section.

The formula to calculate Attack Power with these buffs is:

{ (Base Stats + Mag + Stat Ups) × Alliance Photon Tree Buff × Shifta Drink × Shifta}

The Effect of Shifta on Pets

The effects of Shifta on Pets is different than that of the player's.

The formula for the effect of Shifta on Pets is:

{ Shifta x (Attack Power of player with no equipped weapon + Pet Bonus Stats + Attack Boost from Support Roll)}

  • The Pet's base stats (not Pet Bonus Stats) are not affected by Shifta.
  • The Pet's Attack Power from its Element is not affected by Shifta.
  • The Attack Boost granted by Cookies are not affected by Shifta.
  • The equipped Harmonizer's Attack Power is not affected by Shifta.
  • "Attack Power of player with no equipped weapon" includes Unit Affixes, Set Effects, Mag, Stat Up Skills, etc. i.e. everything that is also affected by the Attack Power increase of released Katana Focus.
  • Using Switch Skills will cause the referenced Attack Power to change, as noted in Damage Type Reference. For instance, if Switch Shoot is active, the referenced Attack Power will change from TEC Pwr to RNG Pwr, then RNG Pwr values from Augments on equipped Units and Set Bonuses will be used instead.
  • The player's increased Attack Power from Shifta has no effect on the Pet's damage output. Shifta must be applied on the Pet to take effect.

Criticals and Expected Values

When you deal critical damage, the damage will show up in-game as a blue damage number. The default critical rate is estimated to be 5%.

The higher the critical rate, the higher the average damage will be. To calculate the expected value considering the critical rate, the following is recommended: 

Mid-range = (Maximum Value + Minimum Value) ÷ 2
Expected Value = Mid-range + Critical Rate x (Maximum Value - Mid-range)

And taking critical damage bonuses (e.g. Critical Strike) into account: 

Mid-range = (Maximum Value + Minimum Value) ÷ 2
Expected Value = Mid-range + Critical Rate × (Maximum Value x Critical Damage bonus - Mid-range)
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