Damage Calculation

Final Damage

 

This stat has not seen an in-game icon. This icon is chosen for wiki use.

Type

Stat

The ᚏ Final Damage output of a player depends on various stats and factors. Calculating ᚏ Final Damage is explained below.

 Damage and ᚏ Final Damage are distinct concepts.

 Damage refers to the non-displayed player statistic which is mostly given by the held weapon (cf. Damage: +100 ).

 Damage is a statistic used to calculate ᚏ Final Damage.

ᚏ Final Damage is not a player statistic.

It is the damage a player applies on enemy  Health by damaging it.

ᚏ Final Damage is commonly confused with the  Damage statistic as it is also called damage.

The statistics and values which are used to calculate ᚏ Final Damage can be separated into 3 broad categories:

#Sword and Bow Damage —  Melee Damage (Swords) or  Projectile Damage (Bows)

#Ability Damage —  Magic Damage (#Damage Abilities)

#Damage Multipliers — Miscellaneous buffs or mechanics

#Additive Multipliers — A common buff category (one example: Sharpness)

#Multiplicative Multipliers — An uncommon buff category (one example: Extra Infliction)

#Defense Damage Reduction — Damage Reduction from  Defense and/or  True Defense.

#Special Damage Reduction — Other forms of Damage Reduction.

Damage comes in a variety of forms:

Type	Description	Notes	Effective Enchants (Reducing Damage, Directly)
Melee Damage	Damage received from a mob standing within close proximity . Or Damage dealt by the Player with a Sword.	Decreased by  Defense.	Protection
Projectile Damage	Damage received from a mob using a bow or other projectile weapon. Or Damage dealt by the Player with a Bow.	Decreased by  Defense.	Projectile Protection
Fall Damage	Damage received when falling from a great height.	Can be decreased with Feather Falling, Feather Talisman, and its upgrades.	Feather Falling
Drowning Damage	Damage received when staying underwater for too long.	Can be delayed and/or prevented with  Respiration and  Pressure Resistance.
Fire Damage	Damage received when on fire. Or damage dealt by 'fire-based' abilities.		Fire Protection
Lava Damage	Damage received when in lava.		Fire Protection
Magic Damage	Ability Damage dealt by players or certain types of mobs( e.g. Terracotta, Ghosts).	Decreased by  Defense.
Void Damage	Damage received when in the void, found beneath all islands.
Poison Damage	Damage dealt by the Poison effect and related damage abilities.	Can be reduced by the Vaccine Talisman.
Wither Damage	Damage dealt by the Wither effect and related damage abilities (e.g. Death's Touch).	Can be negated with the Obsidian Chestplate.
Explosion Damage	Damage received when in the radius of an explosion. Or damage dealt by the Player with an explosion-based ability (e.g.  Implosion).	Can be removed with the Creeper Hat’s ability	Blast Protection

The damage indicator is a feature that displays how much damage has been dealt to a mob.
It also displays some information about the damage instance by changing appearance, for example if a hit is a  critical hit.

Condition	Display
Non-critical hit	123
 Critical hit	✧123,456✧
Fire Aspect  Fire Damage	123,456
Venomous  Poison Damage	123,456
Tarantula Armor and  Primordial Armor Octodexterity bonus activates	Unarmed critical hit: ✧123,456✧+ Non-critical hit: 123,456+ Weapon critical hit: ✧123,456✧+
Ring of Love or its upgrades proc	The Damage Indicator will append a pink heart: ❤

• Calculated damage is rounded down to the nearest integer.
• Many values needed for calculations are not displayed to the player, requiring manual tracking of sources.
• In-game descriptions do not follow consistent rules; verification of the actual implementation of mechanics is required to calculate values correctly.

Refer to the sections #Multiplicative Sources, #Additive Sources and #Special Mechanics documenting the actual implementation of items and mechanics.

Some examples of this lack of consistency:

•  Halberd of the Shredded +250% damage against  Undead enemies is a Multiplicative Multiplier of 3.5× damage.
•  Golden Dragon Pet Perk Legendary Treasure (Up to) 250% damage gain is an Additive buff of up to +250 Additive.
• Smite enchantment +40% damage dealt increase is an Additive buff of +40 Additive.
• Archer Class 280% Arrow Damage is a Multiplicative Multiplier of 2.8× damage.
• Archery 75% Bow Damage increase is an Additive buff of +75 Additive.
•  Red Scarf Loving Bonus 5% ability damage increase is a Multiplicative Multiplier of 1.05×.
•  Ender Dragon Pet Perk End Strike letting the player deal +200% damage against  Ender enemies is an Additive buff of +200 Additive.
•  Hedgehog Pet Perk Spiky Quills letting the player deal +100% damage against  Pests is a Multiplicative Multiplier of 2×.

The following 3 statistics are the primary factors which increase ᚏ Final Damage when dealing  Melee Damage (Swords) or  Projectile Damage (Bows).

•  Damage — the actual  Damage statistic used to calculate ᚏ Final Damage when dealing  Melee Damage (Swords) or  Projectile Damage (Bows).
  

 Damage is also called Weapon Damage or Base Weapon Damage to reduce confusion with other uses of the word damage.

•  Crit Damage — a displayed statistic used to calculate ᚏ Final Damage. It is only used if a hit successfully crits.
  

Landing a critical hit is determined by  Crit Chance and miscellaneous other conditions.

•  Strength — a displayed statistic which is used to calculate ᚏ Final Damage similarly to  Crit Damage.
  

It is alway used when when dealing  Melee Damage (Swords) or  Projectile Damage (Bows)

They are used to calculate the following multipliers:

• ${\displaystyle \text{Weapon Damage Multiplier}=(5+\text{WeaponDamage})}$
  
  
• ${\displaystyle \text{Strength Multiplier}=(1+\frac{\text{Strength}}{100})}$
  
  
• ${\displaystyle \text{Crit Damage Multiplier}=(1+\frac{\text{CritDamage}}{100})}$
  
  

On a critical hit, when no other #Damage Multipliers (e.g. ) exist, ᚏ Final Damage is equal to the following:
${\displaystyle \begin{array}{cc}{\text{InitialDamage}}_{\text{melee}\text{ or }\text{bow}}& =\text{Weapon Damage Multiplier}\times \text{Strength Multiplier}\times \text{Crit Damage Multiplier}\\ & =(5+\text{WeaponDamage})\times (1+{\displaystyle \frac{\text{Strength}}{100}})\times (1+{\displaystyle \frac{\text{CritDamage}}{100}})\end{array}}$

The following 4 values are are the primary factors which increase ᚏ Final Damage when dealing  Magic Damage using Abilities such as .

• Base Ability Damage — a non-displayed value which increases ᚏ Final Damage when dealing  Magic Damage (Abilities).
  

Every Ability has its own Base Ability Damage, which can be increased by the player's total Catacombs Stat Bonus while in The Catacombs.

Example:  Implosion and  Wither Impact have a Base Ability Damage of 10000.

If the player is in the Catacombs with a total Stat Boost of +400%, Base Ability Damage = 10000 × (100% + 400%) = 50000

• Ability Scaling — a non-displayed value which determines the effectiveness of  Intelligence when dealing  Magic Damage (Abilities).
  

Every Ability has its own Ability Scaling which cannot be increased.

Example:  Implosion and  Wither Impact have an Ability Scaling factor of 0.3.

•  Intelligence — a displayed statistic used to calculate ᚏ Final Damage when dealing  Magic Damage (Abilities).
  
•  Ability Damage — a displayed statistic used to calculate ᚏ Final Damage when dealing  Magic Damage (Abilities).
  

 Ability Damage is also called Bonus Ability Damage to reduce confusion with other uses of the term ability damage.

They are used to calculate the following multipliers:

• ${\displaystyle \text{Intelligence Multiplier}=(1+\frac{\text{Intelligence}}{100}\times \text{AbilityScaling})}$
  
  
• ${\displaystyle \text{Bonus Ability Damage Multiplier}=(1+\frac{\text{Bonus Ability Damage}}{100})}$
  
  

When no other #Damage Multipliers (e.g. ) exist, ᚏ Final Damage is equal to the following:
${\displaystyle \begin{array}{cc}{\text{InitialDamage}}_{\text{ability}}& =\text{BaseAbilityDamage}\times \text{Intelligence Multiplier}\times \text{Bonus Ability Damage Multiplier}\\ & =\text{BaseAbilityDamage}\times (1+{\displaystyle \frac{\text{Intelligence}}{100}}\times \text{AbilityScaling})\times (1+{\displaystyle \frac{\text{BonusAbilityDamage}}{100}})\end{array}}$

Ability Name	Item Name	Base Ability Damage	Ability Scaling	Notes
	Blast o' Lantern	3000	0.2
	Skeleton Hat	50	1
Acupuncture	Voodoo Doll	1500	1
Acupuncture+	Jinxed Voodoo Doll	2222	1
Bat Swarm	Witch Mask	4000	1
Bat Swarm+	Vampire Witch Mask	3000	0.2
Bingo Blast	Bingo Blaster	625[Confirm]	1[Confirm]
Burning Souls	Pigman Sword	30000	0.1	Not affected by the Additive Multiplier.[Confirm]
Coin Conversion	The Alchemist's Staff	10000	0.3
Dragon Rage	Aspect of the Dragons	12000	0.1	Not affected by the Additive Multiplier.
Dreadlord	Dreadlord Sword	500	0.3
Explode	Staff of the Volcano	24000	0.3
Fire Blast	Ember Rod	30	1
Fire Veil	Fire Veil Wand	15000	0.3
Firestorm	Fire Fury Staff	42000	0.3
Giant's Slam	Giant's Sword	100000	0.05
Guided Bat	Spirit Sceptre	2000	0.2
Guided Bat+	Spirit Sceptre 	2250	0.2
Ice Bolt	Frozen Scythe	1000	0.3
Ice Bolt+	Glacial Scythe	1500	0.3
Ice Bolt++	Glacial Scythe 	1700	0.3
Ice Spray	Ice Spray Wand	17000	0.1
Ice Spray+	Ice Spray Wand 	19000	0.1
Ink Bomb	Ink Wand	10000	1
Iron Punch	Golem Sword	250	1[Confirm]
Leap	Leaping Sword	350	1
Leap+	Silk-Edge Sword	400	1
Lightning Strike	Celeste Wand	40	1
Starfall	Starlight Wand	50	1[Confirm]
Molten Wave	Midas Staff  Midas Staff 	43400	0.3	6,000 to 40,000 and up to 43,400 using Gold's Power 200
Rapid-fire	Jerry-chine Gun	500	0.2
Runic Zap	Aurora Staff	10000	0.2
Showtime	Bonzo's Staff	1000	0.2
Showtime+	Bonzo's Staff 	1100	0.2
Terrain Toss	Yeti Sword	15000	0.3
Terrain Toss+	Yeti Sword 	17000	0.3
Wither Impact Implosion	Wither Impact	10000	0.3

 calcpage  = Calculator:Ability damage
 template  = Template:Calculator/Ability_damage
 form      = abilityDmgCalcForm
 calcname  = Ability Damage Calculator
 result    = inner

 param     = base|Base Ability Damage|30000|int|0
 param     = int|Intelligence|100|int|0
 param     = scaling|Ability Scaling|0.1|number|0

 calcpage  = Calculator:Adv_Ability_Damage_Calc
 template  = Template:Calculator/Adv_Ability_Damage_Calc
 form      = advAbilityDamageCalcForm
 calcname  = Advanced Ability Damage Calculator
 result    = inner

 param     = input_baseAbilityDmg|Base Ability Damage|500|number
 param     = input_intelligence|Intelligence|125|number
 param     = input_abilityScaling|Ability Scaling|0.2|number
 param     = input_abilityDmgStat|Bonus Ability Damage Stat|0|number
 param     = combatLevel|Combat Level|0|number
 param     = custom_ADD_MULTI|Custom Additive Mul. (%)|0|number
 param     = custom_MUL_MULTI|Custom Multiplicative Mul. (%)|0|number
 param     = NULL_DECORATION|-- Target/Player Stats --|-|fixed
 param     = target_HP|Target HP|1000|number
 param     = player_HP|Player HP|250|number
 param     = NULL_DECORATION|-- Enchantments --|-|fixed

The Damage Multipliers which increase ᚏ Final Damage fall into 2 main categories

Additive Multipliers (short: additive)

A collection of non-displayed statistics and mechanics which increase ᚏ Final Damage.

Multiplicative Multipliers (short: multiplicative)

A collection of non-displayed statistics and mechanics which increase ᚏ Final Damage.

The Damage multipliers which decrease ᚏ Final Damage

 Defense Damage Reduction

Damage Reduction from  Defense or  True Defense

Special-Damage Reduction

Special mechanics such as the BOSS damage cap or Magic-Damage Reduction

Additive buffs add up to a total number, similarly to displayed statistics ( e.g.  Strength ).
The total Additive buff is then used as a multiplier in calculating ᚏ Final Damage.
The Additive Multiplier is calculated by taking the sum ${\displaystyle (\sum )}$ of all Additive sources and dividing them by 100, as they are all provided in percent format ${\displaystyle (\mathrm{\%}=\frac{1}{100})\text{:}}$

${\displaystyle \text{Additive Multiplier}=(1+\frac{\sum \text{Additive Buffs}}{100})}$

Name	Description	Implementation
Swords
Hollow Wand Ability Ichor Pool	Grant […] +30% Damage […] Stacks up to 3 times.	${\displaystyle \text{Additive Buff}=30\times \text{stacks}}$
Bows

Name	Description	Implementation
Warden Helmet Ability: Brute Force	Halves your  Speed but grants +20% base weapon damage for every 25  Speed.	${\displaystyle \text{Additive Buff}=20\times {\displaystyle \frac{\text{Speed}}{25}}+1}$
Magma Lord Armor Pieces	Damage taken from  Magmatic mobs is reduced […] and damage dealt is increased by 1.3x.	${\displaystyle \text{Additive Buff}=30\times \text{Pieces}}$
Thunder Armor Pieces	Damage taken from  Magmatic mobs is reduced […] and damage dealt is increased by 1.2x.	${\displaystyle \text{Additive Buff}=20\times \text{Pieces}}$[Confirm]
Taurus Helmet,  Flaming Chestplate and  Moogma Leggings	Damage taken from  Magmatic mobs is reduced […] and damage dealt is increased by 1.1x.	${\displaystyle \text{Additive Buff}=10\times \text{Pieces}}$[Confirm]
Tuxedo Full Set Bonus: Dashing	Max health set to n. Deal +k% more  Damage! n = { 75, 150, 250 } ; k = { 75, 100, 150 }	${\displaystyle \text{Additive Buff}=k}$
Final Destination Armor Full Set Bonus: Vivacious Darkness	+100%  Damage against Endermen	${\displaystyle \text{Additive Buff}=100}$ Condition: Endermen including Zealots, Zealot Bruisers, Voidling Fanatics, and Voidling Extremists.[Confirm]
Maxor's Armor	[…] and increases your arrow damage by 5% per piece.	${\displaystyle \text{Additive Buff}=5\times \text{Pieces}}$
Terror Armor	[…] arrow attacks grant 1 stack of Hydra Strike ⁑. Each Hydra Strike ⁑ stack grants +k% Damage. k = [ 2, 15 ]	${\displaystyle \text{Additive Buff}=k\times \text{stacks}}$
Crimson Armor (Infernal)	[…] melee attacks gain 1 stack of ᝐ Dominus. Each ᝐ Dominus stack grants […] and 10% Damage.	${\displaystyle \text{Additive Buff}=10\times \text{stacks}}$ Condition:  Melee Damage
Crimson Armor Swipe	At 10 stacks also swipe in a random direction hitting every enemy in the path of the swipe. The first time an enemy is hit by a swipe, it takes double the usual damage. Swipe Strength = [ 0.5, 3 ]	The initiating Hits Damage and Additive Multiplier are used to calculate the Damage of the swipe: ${\displaystyle {\text{Damage}}_{\text{swipe}}={\text{Damage}}_{\text{Hit}}\times \frac{\text{Swipe Strength}\times 100}{{\text{Additive Multiplier}}_{\text{Hit}}}}$ Due to this, Crimson Swipe can be treated as an increase of the Additive Multiplier, separated into a second hit.[1]
Reaper Armor	Trolling The Reaper: Deal +100% damage to  Undead Mobs but 1% to all other Mobs.	${\displaystyle \text{Multiplier}=\{\begin{array}{ccc}\text{Undead}\text{ enemies}& :& \text{Additive Buff}=100\\ \text{Non-}\text{Undead}\text{ enemies}& :& \text{Multiplicative Multiplier}=0.01\end{array}}$

Name	Description	Implementation
Necklaces
Belts
Cloaks
Bracelet
Gloves

Pets

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Name	Description	Implementation
Golden Dragon Pet Legendary Treasure perk	Gain +k% damage for every million coins in your bank. (Max 1000·k%) k = [ 0.12625, 0.25 ] ; 1000·k = [ 126.25, 250 ]	${\displaystyle \text{Additive Buff}=\min (k\times \lfloor {\displaystyle \frac{\text{coins in bank}}{1000000}}\rfloor ,1000\times k)}$
Lion Pet King of the Jungle perk	Deal +k% damage against mobs that have attacked you. k = [ 1.5, 150 ]	${\displaystyle \text{Additive Buff}=k}$ Condition: Description accurate[Confirm].
Wither Skeleton Pet Perk Wither Blood	Deal k% more damage against  Wither mobs. k = [ 1, 100 ]	${\displaystyle \text{Additive Buff}=k}$
Kuudra Pet Perk Kuudra Specialist	Increases all damage to Kuudra and his minions by 20%.	${\displaystyle \text{Additive Buff}=20}$
Ender Dragon Pet Perk End Strike	Deal +k% more damage to  Ender mobs. k = [ 2, 200 ]	${\displaystyle \text{Additive Buff}=k}$
Pigman Pet Perk Giant Slayer	Deal +k% damage to monsters Level 50+ and +n% damage to monsters Level 100+.	${\displaystyle \text{Additive Buff}=}$ ${\displaystyle \{\begin{array}{ccc}\text{Level}<50& :& 0\\ 50\le \text{Level}<100& :& k\\ \text{Level}\ge 100& :& n\end{array}}$
Skeleton Pet Perk Bone Arrows	Increase arrow damage by k% which is doubled while in dungeons. k = [ 0.1, 75 ]	${\displaystyle \text{Additive Buff}=2\times k}$
Tiger Pet Perk Apex Predator	Deal +k% damage against targets with no other mobs within 15 blocks. k = [ 1, 100 ]	${\displaystyle \text{Additive Buff}=k}$
Zombie Pet Perk Rotten Blade	Deal k% more damage to  Undead mobs. k = [ 26.25, 150 ]	${\displaystyle \text{Additive Buff}=k}$
Lion Pet Perk First Pounce	First Strike, Triple-Strike and Combo are k% more effective. k = [ 1, 100 ]	[Confirm]
Megalodon Pet Perk Blood Scent	Deal up to +k% Damage based on the enemy's missing health. k = [ 51, 150 ]	${\displaystyle \text{Additive Buff}=k}$
T-Rex Pet Perk Close Combat	Deal k% more damage to enemies within 1.5 blocks. k = [ 1.5, 150 ]	${\displaystyle \text{Additive Buff}=k}$
Giraffe Pet Perk Long Neck	Increases your melee damage by k% if you are more than 3 blocks away from the target. k = [ 50.5, 100 ]	${\displaystyle \text{Additive Buff}=k}$

Pet Items

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Name	Description	Implementation

Name	Description	Implementation
Ring of Love	Grants a 1 in X chance to deal +100% damage.	${\displaystyle \text{Additive Buff}=100}$
Runeblade Talisman,  Runeblade Ring and  Runeblade Artifact.	Increases the  Damage dealt to  Woodland mobs by k%.	${\displaystyle \text{Additive Buff}=k}$[Confirm]
Draconic Talisman,  Draconic Ring and  Draconic Artifact.	Increases damage dealt to Dragons by k%.	${\displaystyle \text{Additive Buff}=k}$

Name	Description	Implementation	Applied To
Optical Lens Reforge Precise	Deal +10% extra damage when arrows hit the head of a mob.	${\displaystyle \text{Additive Buff}=10}$	Bows
Kaleidoscopic Mineral Reforge Headstrong	Deal +8% extra damage when arrows hit the head of a mob.	${\displaystyle \text{Additive Buff}=8}$	Bows

Sword

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Name	Description	Value(s)	Implementation	Described Condition Accurate
Sharpness	Increases melee damage dealt by k%.	5, 10, 15, 20, 30, 40, 50	${\displaystyle \text{Additive Buff}=k}$	yes
Prosecute	Increases damage dealt by k% for every percent of health your target has.	0.1, 0.2, 0.3, 0.4, 0.7, 1	${\displaystyle \text{Additive Buff}=k\times {\displaystyle \frac{\text{current}{\text{HP}}_{\text{enemy}}}{\text{max}{\text{HP}}_{\text{enemy}}}}}$	yes
Execute	Increases damage dealt by k% for each percent of health missing on your target.	0.2, 0.4, 0.6, 0.8, 1, 1.25	${\displaystyle \text{Additive Buff}=k\times {\displaystyle \frac{\text{max}{\text{HP}}_{\text{enemy}}-\text{current}{\text{HP}}_{\text{enemy}}}{\text{max}{\text{HP}}_{\text{enemy}}}}}$	yes
Giant Killer	Increases damage dealt by k% for each percentage of health your target has above you, up to n%.	k = { 0.1, 0.2, 0.3, 0.4, 0.6, 0.9, 1.2 } n = { 5, 10, 15, 20, 30, 45, 65 }	${\displaystyle \text{Additive Buff}=}$ ${\displaystyle \{\begin{array}{cc}{\text{HP}}_{\text{enemy}}\ge {\text{HP}}_{\text{player}}& :\min (k\times {\displaystyle \frac{{\text{HP}}_{\text{enemy}}-{\text{HP}}_{\text{player}}}{0.01\times {\text{HP}}_{\text{player}}}},n)\\ {\text{HP}}_{\text{enemy}}<{\text{HP}}_{\text{player}}& :0\end{array}}$[Confirm]	yes
Titan Killer	Increases damage dealt by k% for every 100  Defense your target has, up to n%.	k = { 2, 4, 6, 8, 12, 16, 20 } n = { 6, 12, 18, 24, 40, 60, 80 }	${\displaystyle \text{Additive Buff}=\min (k\times \lfloor \frac{{\text{def}}_{\text{enemy}}}{100}\rfloor ,n)}$[Confirm]	[Confirm]
First Strike	Increases the melee damage dealt by k% for the first hit on a mob.	25, 50, 75, 100, 125	${\displaystyle \text{Additive Buff}=k}$	yes
Triple-Strike	Increases the melee damage dealt by k% for the first three hits on a mob.	10, 20, 30, 40, 50	${\displaystyle \text{Additive Buff}=k}$	yes
One For All	Removes all other enchants but increases your damage by 500%.		${\displaystyle \text{Additive Buff}=500}$	yes

Bow

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Name	Description	Value(s)	Implementation	Described Condition Accurate
Power	Increases bow damage by k%.	8, 16, 24, 32, 40, 50, 65	${\displaystyle \text{Additive Buff}=k}$	yes
Snipe	Arrows deal +k% damage for every 10 blocks traveled.	1, 2, 3, 4	${\displaystyle \text{Additive Buff}=\frac{{\Delta }_{\text{position}}\times k}{10}}$ ${\displaystyle {\Delta }_{\text{position}}}$ is the euclidean distance between the Player position and the Enemy position at the time of arrow impact. [Confirm]	yes

Fishing Rod

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Name	Description	Value(s)	Implementation	Described Condition Accurate
Spiked Hook	Fishing rod deals k% more damage to monsters.	5, 10, 15, 20, 25, 30, 35	${\displaystyle \text{Additive Buff}=k}$	[Confirm]

Armor

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Name	Description	Value(s)	Implementation	Described Condition Accurate
Habanero Tactics	Deal +k% damage with Slayer weapons.	20, 25	${\displaystyle \text{Additive Buff}=k}$	yes

Other

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Name	Description	Value(s)	Implementation	Described Condition Accurate
Gravity	Increase damage dealt to  Airborne mobs by k%.	5, 10, 15, 20, 30, 40	${\displaystyle \text{Additive Buff}=k}$	yes
Impaling	Increase damage dealt to  Aquatic mobs by k%.	5, 10, 15, 20, 30	${\displaystyle \text{Additive Buff}=k}$	yes
Bane of Arthropods	Increase damage dealt to  Arthropod mobs by k%.	5, 10, 15, 20, 30, 40, 50	${\displaystyle \text{Additive Buff}=k}$	yes
Cubism	Increase damage dealt to  Cubic mobs by k%.	5, 10, 15, 20, 30, 40	${\displaystyle \text{Additive Buff}=k}$	yes
Ender Slayer	Increase damage dealt to  Ender mobs by k%.	5, 10, 15, 20, 30, 40, 50	${\displaystyle \text{Additive Buff}=k}$	yes
Smoldering	Increase damage dealt to  Infernal mobs by k%.	5, 10, 15, 20, 30	${\displaystyle \text{Additive Buff}=k}$	yes
Pyroclasm	Increase damage dealt to  Magmatic mobs by k%.	10, 20, 30, 40, 60, 80	${\displaystyle \text{Additive Buff}=k}$	[Confirm]
Smite	Increase damage dealt to  Skeletal,  Undead and  Wither mobs by k%.	5, 10, 15, 20, 30, 40, 50	${\displaystyle \text{Additive Buff}=k}$	yes
Woodsplitter	Increase damage dealt to  Woodland mobs by k%.	5, 10, 15, 20, 30, 40	${\displaystyle \text{Additive Buff}=k}$	[Confirm]
Combo	Increases your damage by k% per kill up to n kills within m seconds.	k = { 1, 2, 3, 4, 5 } n = { 2, 4, 6, 8, 10 } m = { 2, 4, 6, 8, 10 }	${\displaystyle \text{Additive Buff}=k\times \min (\text{Kills},n)}$	[Confirm]
Swarm	Increases your damage by k% for each enemy within 10 blocks. Maximum of 10 enemies.	2, 4, 6, 8, 10	${\displaystyle \text{Additive Buff}=k\times \min (\text{Enemies in range},10)}$	[Confirm]

Name	Description	Implementation
Thorn Shard Dominance	Gain +k% more Damage when at full health.	${\displaystyle \text{Additive Buff}=k}$
Kada Knight Shard Lifeline	When under 20% maximum HP, your  Defense and Damage increase by k%.	${\displaystyle \text{Additive Buff}=k}$[Confirm]
Spike Shard Payback	When hit, your next hit deals +k% damage.	${\displaystyle \text{Additive Buff}=k}$
Soul of the Alpha Shard Combo	Deal +k% more Damage per Grandma Wolf Pet combo. (Max 50 combo)	${\displaystyle \text{Additive Buff}=k\times \min (\text{Combo Amount},50)}$
Skeletor Shard Deadeye	Increases damage from ranged weapons by +k%.	${\displaystyle \text{Additive Buff}=k}$
Barbarian Duke X Shard Warrior	Increases melee damage by +k%.	${\displaystyle \text{Additive Buff}=k}$
Power Dragon Shard Elite	Grants +k% more Damage against BOSS and Miniboss mobs.	${\displaystyle \text{Additive Buff}=k}$

Ruler Attributes

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Ruler Attributes give +3 Additive Damage per Attribute level, up to +30 Additive Damage.
Ruler Attributes are buffed by  Caiman Shard Attribute Echo of Ruler and  Tiamat Shard Attribute Echo of Echoes.
With both relevant Echo Attributes at MAX Level (10), Ruler Attributes are multiplied by 1.3, resulting in a maximum increase of +39 Additive Damage.

Name	Description	Implementation
Bluebird Shard Airborne Ruler	Grants +k% more Damage against  Airborne mobs.	${\displaystyle \text{Additive Buff}=k}$
Sprawl Shard Animal Ruler	Grants +k% more Damage against  Animal mobs.	${\displaystyle \text{Additive Buff}=k}$
Duplico Shard Arcane Ruler	Grants +k% more Damage against  Arcane mobs.	${\displaystyle \text{Additive Buff}=k}$
Flaming Spider Shard Arthropod Ruler	Grants +k% more Damage against  Arthropod mobs.	${\displaystyle \text{Additive Buff}=k}$
Shrieky Tiki Shard Construct Ruler	Grants +k% more Damage against ︎ Construct mobs.	${\displaystyle \text{Additive Buff}=k}$
Queen Ant Shard Elusive Ruler	Grants +k% more Damage against  Elusive mobs.	${\displaystyle \text{Additive Buff}=k}$
Zealot Bruiser Shard Ender Ruler	Grants +k% more Damage against  Ender mobs.	${\displaystyle \text{Additive Buff}=k}$
Polaris Shard Frozen Ruler	Grants +k% more Damage against  Frozen mobs.	${\displaystyle \text{Additive Buff}=k}$
Wetwing Shard Humanoid Ruler	Grants +k% more Damage against  Humanoid mobs.	${\displaystyle \text{Additive Buff}=k}$
Flare Shard Infernal Ruler	Grants +k% more Damage against  Infernal mobs.	${\displaystyle \text{Additive Buff}=k}$
Stridersurfer Shard Magmatic Ruler	Grants +k% more Damage against  Magmatic mobs.	${\displaystyle \text{Additive Buff}=k}$
Minos Hunter Shard Mythological Ruler	Grants +k% more Damage against  Mythological mobs.	${\displaystyle \text{Additive Buff}=k}$
Praying Mantis Shard Pest Ruler	Grants +k% more Damage against  Pest mobs.	${\displaystyle \text{Additive Buff}=k}$
Chill Shard Skeletal Ruler	Grants +k% more Damage against  Skeletal mobs.	${\displaystyle \text{Additive Buff}=k}$
Driftling Shard Subterranean Ruler	Grants +k% more Damage against  Subterranean mobs.	${\displaystyle \text{Additive Buff}=k}$
Zombie Soldier Shard Undead Ruler	Grants +k% more Damage against  Undead mobs.	${\displaystyle \text{Additive Buff}=k}$
Ent Shard Woodland Ruler	Grants +k% more Damage against  Woodland mobs.	${\displaystyle \text{Additive Buff}=k}$

Name	Description	Implementation
Combat Warrior perk	Deal k% more damage to mobs. k = [ 4 , 210 ]	${\displaystyle \text{Additive Buff}=k}$
Spider Tamer Spider Essence Shop perk Bane	Increases damage dealt to Spiders by k%. k = { 3, 6, 9, 12, 15 }	${\displaystyle \text{Additive Buff}=k}$
Archery Potion	Increases bow damage by k%.	${\displaystyle \text{Additive Buff}=k}$
Berserk Dungeon Class Perk Lust for Blood	Every time you hit an enemy, increases the damage you deal to that enemy by m% up to a maximum of k%.	${\displaystyle \text{Additive Buff}=\min (\text{hit count}\times m,k)}$

Multiplicative buffs multiply with each-other, resulting in the product ${\displaystyle (\prod )}$ of all Multiplicative buffs multiplying ᚏ Final Damage:

${\displaystyle \text{Multiplicative Multiplier}=\prod \text{Multiplicative Buffs}}$

Name	Description	Implementation
Swords
Spider Sword	Deal +100% damage to  Arthropod mobs.	${\displaystyle \text{Multiplicative Multiplier}=2}$
Recluse Fang	Deal +150% damage to  Arthropod mobs.	${\displaystyle \text{Multiplicative Multiplier}=2.5}$
Tarantula Fang	Deal +200% damage to  Arthropod mobs.	${\displaystyle \text{Multiplicative Multiplier}=3}$
Scorpion Foil	Deal +250% damage to  Arthropod mobs.	${\displaystyle \text{Multiplicative Multiplier}=3.5}$
Sting	Deal +300% damage to  Arthropod mobs.	${\displaystyle \text{Multiplicative Multiplier}=4}$
End Sword	Deal +100% damage to  Ender mobs.	${\displaystyle \text{Multiplicative Multiplier}=2}$
Voidwalker Katana	Deal +150% damage to Endermen.	${\displaystyle \text{Multiplicative Multiplier}=2.5}$ Condition: Endermen including Zealots, Zealot Bruisers, Voidling Fanatics, and Voidling Extremists.[Confirm]
Voidedge Katana	Deal +200% damage to Endermen.	${\displaystyle \text{Multiplicative Multiplier}=3}$ Condition: Endermen including Zealots, Zealot Bruisers, Voidling Fanatics, and Voidling Extremists.[Confirm]
Vorpal Katana	Deal +250% damage to Endermen.	${\displaystyle \text{Multiplicative Multiplier}=3.5}$ Condition: Endermen including Zealots, Zealot Bruisers, Voidling Fanatics, and Voidling Extremists.[Confirm]
Atomsplit Katana	Deal +300% damage to Endermen.	${\displaystyle \text{Multiplicative Multiplier}=4}$ Condition: Endermen including Zealots, Zealot Bruisers, Voidling Fanatics, and Voidling Extremists.[Confirm]
Firedust Dagger	Deal 1.2x damage to  Infernal mobs. Deal 1.1x damage to  Wither mobs.	${\displaystyle {\text{Multiplicative Multiplier}}_{\text{Infernal}}=1.25}$ ${\displaystyle {\text{Multiplicative Multiplier}}_{\text{Wither}}=1.1}$
Kindlebane Dagger	Deal 1.5x damage to  Infernal mobs. Deal 1.2x damage to  Wither mobs.	${\displaystyle {\text{Multiplicative Multiplier}}_{\text{Infernal}}=1.5}$ ${\displaystyle {\text{Multiplicative Multiplier}}_{\text{Wither}}=1.2}$
Pyrochaos Dagger	Deal 2x damage to  Infernal mobs. Deal 1.5x damage to  Wither mobs.	${\displaystyle {\text{Multiplicative Multiplier}}_{\text{Infernal}}=2}$ ${\displaystyle {\text{Multiplicative Multiplier}}_{\text{Wither}}=1.5}$
Twilight Dagger	Deal 1.5x damage to  Infernal mobs. Deal 1.2x damage to  Skeletal mobs.	${\displaystyle {\text{Multiplicative Multiplier}}_{\text{Infernal}}=1.5}$ ${\displaystyle {\text{Multiplicative Multiplier}}_{\text{Skeletal}}=1.25}$
Mawdredge Dagger	Deal 2.5x damage to  Infernal mobs. Deal 1.5x damage to  Skeletal mobs.	${\displaystyle {\text{Multiplicative Multiplier}}_{\text{Infernal}}=2.5}$ ${\displaystyle {\text{Multiplicative Multiplier}}_{\text{Skeletal}}=1.5}$
Deathripper Dagger	Deal 3.5x damage to  Infernal mobs. Deal 2x damage to  Skeletal mobs.	${\displaystyle {\text{Multiplicative Multiplier}}_{\text{Infernal}}=3.5}$ ${\displaystyle {\text{Multiplicative Multiplier}}_{\text{Skeletal}}=2}$
Undead Sword	Deals +100% damage to  Undead mobs.	${\displaystyle \text{Multiplicative Multiplier}=2}$
Revenant Falchion	Deals +150% damage to  Undead mobs.	${\displaystyle \text{Multiplicative Multiplier}=2.5}$
Reaper Falchion	Deals +200% damage to  Undead mobs.	${\displaystyle \text{Multiplicative Multiplier}=3}$
Halberd of the Shredded	Deals +250% damage to  Undead mobs.	${\displaystyle \text{Multiplicative Multiplier}=3.5}$
Shaman Sword	Deal +100% Damage against Wolves.	${\displaystyle \text{Multiplicative Multiplier}=1}$[2]
Pooch Sword	Deal +200% Damage against Wolves.	${\displaystyle \text{Multiplicative Multiplier}=2}$[3]
Necron's Blade (Unrefined) and its refinements.	Deal +50% damage to  Wither mobs.	${\displaystyle \text{Multiplicative Multiplier}=1.5}$
Sword of Revelations	Deals 1.5x damage to  Mythological mobs.	${\displaystyle \text{Multiplicative Multiplier}=1.5}$
Daedalus Blade and  Daedalus Blade 	Grants +n% Damage […] on  Mythological mobs per Bestiary tier you have accross all of them.  Mythological Bestiary Tiers: N +k% Damage	${\displaystyle \text{Multiplicative Multiplier}=1+k\mathrm{\%}}$ [Confirm]
Soul Whip	Deals 2x damage to Sea Creatures.	${\displaystyle \text{Multiplicative Multiplier}=2}$
Flaming Flay	Deals 3x damage to Sea Creatures.	${\displaystyle \text{Multiplicative Multiplier}=3}$
Prismarine Blade	Deals +200% damage while in water.	${\displaystyle \text{Multiplicative Multiplier}=3}$
Ice Spray Wand and  Ice Spray Wand  Ability Ice Spray	[…] freezes them in place […] Frozen mobs take 10% increased damage!	${\displaystyle \text{Multiplicative Multiplier}=1.1}$
Spirit Sword	Deals +2% more damage to  Undead mobs per 1%  Health the player is missing.	${\displaystyle \text{Multiplicative Multiplier}=1+2\times \frac{{\text{HP}}_{\text{max}}-{\text{HP}}_{\text{current}}}{{\text{HP}}_{\text{max}}}}$
Hollow Wand Ability Raging Wind	[…] within this pool gains[sic] 1.2x Damage […]	${\displaystyle \text{Multiplicative Multiplier}=1.2}$ [Confirm]
Bows
Wither Bow	Deals +100% damage to  Wither mobs.	${\displaystyle \text{Multiplicative Multiplier}=2}$
Savanna Bow	All damage dealt with this bow is doubled.	${\displaystyle \text{Multiplicative Multiplier}=2}$
Sulphur Bow	Consumes 1 Sulphur in your Inventory or your Quiver to deal double the damage per shot.	${\displaystyle \text{Multiplicative Multiplier}=2}$
Undead Bow,  Super Undead Bow and  Death Bow	Deals +100% damage to  Undead mobs.	${\displaystyle \text{Multiplicative Multiplier}=2}$
Spirit Shortbow	Deals +2% more damage to  Undead mobs per 1%  Health the player is missing.	${\displaystyle \text{Multiplicative Multiplier}=1+2\times \frac{{\text{HP}}_{\text{max}}-{\text{HP}}_{\text{current}}}{{\text{HP}}_{\text{max}}}}$

Name	Description	Implementation
Crown of Avarice	[…] and deal +0.015x Damage for each digit of Coins consumed. Coins consumed: X X = [ 0, 1,000,000,000 ] → digits( X ) = [ 0, 10 ]	${\displaystyle \text{Multiplicative Multiplier}=1+0.015\times \text{digits}\left(X\right)}$
Tarantula Armor	Every 4th strike, deal +100%  Damage	${\displaystyle \text{Multiplicative Multiplier}=2}$[Confirm]
Primordial Armor	Every 3rd strike, deal +50%  Damage	${\displaystyle \text{Multiplicative Multiplier}=1.5}$[Confirm]
Monster Hunter Armor	Secret Full Set Bonus: Monster Hunter: […] and deal +25% Damage when attacking Monsters.	${\displaystyle \text{Multiplicative Multiplier}=1.25}$
Monster Raider Armor	Secret Full Set Bonus: Monster Raider: […] and deal +35% Damage when attacking Monsters.	${\displaystyle \text{Multiplicative Multiplier}=1.35}$
Reaper Armor	Trolling The Reaper: Deal +100% damage to  Undead Mobs but 1% to all other Mobs.	${\displaystyle \text{Multiplier}=\{\begin{array}{ccc}\text{Undead}\text{ enemies}& :& \text{Additive Buff}=100\\ \text{Non-}\text{Undead}\text{ enemies}& :& \text{Multiplicative Multiplier}=0.01\end{array}}$

Name	Description	Implementation
Necklaces
Belts
Implosion Belt	Consolidated: Increases all explosion damage dealt by 25%.	${\displaystyle \text{Multiplicative Multiplier}=1.25}$
Cloaks
Dragonfade Cloak	Multiplies damage dealt to Dragons by 1.01x.	${\displaystyle \text{Multiplicative Multiplier}=1.01}$[Confirm]
Bracelet
Gloves

Pets

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Name	Description	Implementation
Hedgehog Pet	Spiky Quills: Deal k% more damage to  Pests. k = [1, 100]	${\displaystyle \text{Multiplicative Multiplier}=1+k\mathrm{\%}}$
Bat Pet Perk Wings of Steel	Deals +k% damage to  Spooky enemies during the Spooky Festival. k = [ 0.5, 50 ]	${\displaystyle \text{Multiplicative Multiplier}=1+k\mathrm{\%}}$
Rock Pet Perk Steady Ground	While sitting on your rock, gain +k% damage. k = [ 0.3, 30 ]	${\displaystyle \text{Multiplicative Multiplier}=1+k\mathrm{\%}}$[Confirm]
Wither Skeleton Pet Perk Death's Touch	Upon hitting an enemy inflict the wither effect for k% damage over 3 seconds. k = [ 2, 200 ]	${\displaystyle {\text{Multiplicative Multiplier}}_{\text{Damage-Tick}}=\frac{k\mathrm{\%}}{3}}$
Golem Pet Perk Last Stand	[…] deal 40% more damage.	${\displaystyle \text{Multiplicative Multiplier}=1+k\mathrm{\%}}$ [Confirm]
Golem Pet Perk Toss	Every 5 hits, throw the enemy up into the air and deal 5x damage.	${\displaystyle {\text{Multiplicative Multiplier}}_{\text{Toss}}=5}$ [Confirm]
Magma Cube Pet Perk Salt Blade	Deal k% more damage to slimes. k = [ 0.2, 25 ]	${\displaystyle \text{Multiplicative Multiplier}=1+k\mathrm{\%}}$ [Confirm]
Bal Pet Perk Cannibal	Increases damage dealt to Bal by k%. k = [ 1, 100 ]	${\displaystyle \text{Multiplicative Multiplier}=1+k\mathrm{\%}}$ [Confirm]

Pet Items

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Name	Description	Implementation

Name	Description	Implementation
Tarantula Talisman	Every 10th melee hit on the same enemy deals +10% damage.	${\displaystyle \text{Multiplicative Multiplier}=1.1}$
Tarantula Ring	Every 10th melee hit on the same enemy deals +15% damage.	${\displaystyle \text{Multiplicative Multiplier}=1.15}$ [Confirm]
Book of Progression	Selected ability Extra Infliction: When you deal damage, deal +k% the amount.	${\displaystyle \text{Multiplicative Multiplier}=1+k\mathrm{\%}}$

Name	Description	Implementation	Applied To
Red Scarf Reforge Loving	Increases ability damage by +5%.	${\displaystyle \text{Multiplicative Multiplier}=1.05}$ Applied on  Magic Damage (Abilities) and  Ferocity.	Chestplates
Dragon Claw Reforge Fabled	Critical hits have a chance to deal up to 15% extra damage.	${\displaystyle \text{Multiplicative Multiplier}=1+0.15\times \text{random()}}$ where ${\displaystyle \text{random()}\in [0,1]}$ and every value is equally likely.[Confirm]	Swords

Name	Description	Implementation
Overload	Having a  Crit Chance above 100% grants a chance to perform a Mega Critical Hit dealing k% extra damage. k = {10, 20, 30, 40, 50}	${\displaystyle P_{\text{mega-crit}}=}$ ${\displaystyle \{\begin{array}{ccc}\text{CritChance}<100& :& 0\mathrm{\%}\\ 100\le \text{CritChance}\le 200& :& {\displaystyle \frac{\text{CritChance}-100}{100}}\\ \text{CritChance}>200& :& 100\mathrm{\%}\end{array}}$ ${\displaystyle {\text{Multiplicative Multiplier}}_{\text{mega-crit}}=1+k\mathrm{\%}}$
Duplex	Shoot a second arrow dealing k% of the first arrow's damage. Targets hit take ( 1 + m ) times fire damage for 60s. k = {4%, 8%, 12%, 16%, 20%} m = {10%, 20%, 30%, 40%, 50%}	${\displaystyle {\text{Multiplicative Multiplier}}_{\text{second-arrow}}=k}$ This multiplier is discarded when an arrow bounces.[Confirm] ${\displaystyle {\text{Multiplicative Multiplier}}_{\text{fire-damage-taken}}=m}$ This means fire damage taken actually decreases. [4]
Thunderlord	Every 3 hits on a monster, strike lightning, dealing k% of the hit's damage. k = [ 8, 16, 24, 32, 40, 50, 60 ]	${\displaystyle \text{Multiplicative Multiplier}=\frac{k}{100}}$ Condition: Melee Damage
Thunderbolt	Every 3 hits on a monster, strike lightning, dealing k% of the hit's damage to up to 10 monsters within 2 blocks. k = [ 4, 8, 12, 16, 20, 25, 30 ]	${\displaystyle \text{Multiplicative Multiplier}=\frac{k}{100}}$ Condition: Melee Damage

Name	Description	Implementation
Twilight Arrow Poison	Arrows apply a Poison that increases all incoming damage by 10% for 20s.	${\displaystyle \text{Multiplicative Multiplier}=1.1}$
Archer Dungeon Class	k% Arrow Damage	${\displaystyle \text{Multiplicative Multiplier}=k\mathrm{\%}}$
Berserk Dungeon Class	+k% Melee Damage	${\displaystyle \text{Multiplicative Multiplier}=1+k\mathrm{\%}}$
Berserk Dungeon Class Perk Bloodlust	Your next hit after killing a mosnter deals k% increased damage.	${\displaystyle \text{Multiplicative Multiplier}=1+k\mathrm{\%}}$
Berserk Dungeon Class Ability Ragnarok	Grants 100  Attack Speed, 400  Speed, and a 50% damage increase for 15 seconds.	${\displaystyle \text{Multiplicative Multiplier}=1.5}$[Confirm] Condition:  Melee Damage[Confirm]
Mage Dungeon Class Ability Mage Staff	All your melee weapon attacks become ranged. Those attacks deal 30%+ of their melee damage […]	${\displaystyle {\text{Multiplicative Multiplier}}_{\text{Mage Staff}}=(30\mathrm{\%}+0.9\times \frac{\text{Intelligence}}{1000})}$

Damage Reduction reduces the ᚏ Final Damage enemies take.
 Defense and  True Defense both use the same formula to calculate how much damage reduction is granted based on their value:
${\displaystyle \text{Damage Reduction}=\frac{\text{Defense}}{100+\text{Defense}}}$
Converting damage reduction into a damage taken-multiplier:
${\displaystyle {\text{multiplier}}_{\text{damage-taken}}=1-\text{Damage Reduction}}$
This results in the following damage taken-multiplier for  Defense and  True Defense:
${\displaystyle {\text{mult}}_{\text{def}-\text{dmg taken}}=\frac{100}{100+\text{Defense}}}$
Shorten that to ${\displaystyle {\text{mult}}_{\text{def}}}$.

[Lv40] Tank Zombie  Defense Example

Scenario:

• The [Lv40] Tank Zombie has 2000  Defense.
• The #Sword and Bow Damage calculation results in ${\displaystyle {\text{InitialDamage}}_{\text{melee}}=1000}$.
  

Calculation:
${\displaystyle \begin{array}{cc}{\text{mult}}_{\text{def}}& ={\displaystyle \frac{100}{100+\text{Defense}}}\\ & ={\displaystyle \frac{100}{100+2000}}\\ & ={\displaystyle \frac{1}{21}}\\ & \approx 4.8\mathrm{\%}\end{array}}$
Applying the damage taken-multiplier:
${\displaystyle \begin{array}{cc}{\text{Damage}}_{\text{post-def}}& ={\text{InitialDamage}}_{\text{melee}}\times {\text{mult}}_{\text{def}}\\ & =1000\times {\displaystyle \frac{1}{21}}\\ & ={\displaystyle \frac{1000}{21}}\\ & \approx 47.62\end{array}}$

Damage Reduction reduces the ᚏ Final Damage enemies take.
Special mechanics can provide damage reduction which applies in the same way as  Defense damage reduction.
If multiple sources of damage reduction exist, the damage taken-multipliers of the respective damage reductions all apply in a specific order:

 Scarf special damage reduction and magic damage reduction Example

Scenario:

1. This hypothetical version of  Scarf has a magic resistance of 15% (the real scarf does not!).
   

   That results in a damage taken-multiplier of:

   ${\displaystyle {\text{mult}}_{\text{magicDR}}=1-15\mathrm{\%}=0.85}$

2.  Scarf has a damage cap threshold of 6000 .
3.  Scarf has 0  Defense.
4.  Scarf and Master  Scarf have a special mechanic:

   Based on the amount of Undead Minions alive, the following damage taken-multiplier is applied:
   

   ${\displaystyle {\text{mult}}_{\text{special}}=\max ((1-0.24\times \text{UndeadsAlive}),0)}$
   

   3 Undead Minions are alive, giving it the following value:

   ${\displaystyle {\text{mult}}_{\text{special}}=\max (1-0.24\times 3,0)=0.28}$

5. The damager uses a  Book of Progression set to Extra Infliction at SkyBlock Level [370].

   This results in a Multiplicative Multiplier of ${\displaystyle {\text{mult}}_{\text{ExtraInfliction}}=1.037}$

6. The #Ability Damage calculation results in ${\displaystyle {\text{InitialDamage}}_{\text{ability}}=7000}$.
   

Calculation:
The order of applying these specific multipliers is the following:

1. Magic Resistance
2. damage cap
3.  Defense
4. Special Damage Reduction
5. Extra Infliction

Applying the multipliers:

1. Magic Resistance:
   

   ${\displaystyle \begin{array}{cc}{\text{Damage}}_{\text{post-}\text{magicDR}}& ={\text{mult}}_{\text{magicDR}}\times {\text{InitialDamage}}_{\text{ability}}\\ & =0.85\times 7000\\ & =5950\end{array}}$

2. Damage is below the damage cap threshold of 6000 :

   ${\displaystyle {\text{Damage}}_{\text{post-}\text{damageCap}}={\text{Damage}}_{\text{post-}\text{magicDR}}}$

3. 0  Defense results in no damage reduction:

   ${\displaystyle {\text{Damage}}_{\text{post-}\text{def}}={\text{Damage}}_{\text{post-}\text{damageCap}}}$

4. Special damage reduction:

   ${\displaystyle \begin{array}{cc}{\text{Damage}}_{\text{post-}\text{special}}& ={\text{mult}}_{\text{special}}\times {\text{Damage}}_{\text{post-}\text{def}}\\ & =0.28\times 5950\\ & =1666\end{array}}$

5. Extra Infliction:

   ${\displaystyle \begin{array}{cc}{\text{Damage}}_{\text{post-}\text{ExtraInfliction}}& ={\text{mult}}_{\text{ExtraInfliction}}\times {\text{Damage}}_{\text{post-}\text{special}}\\ & =1.037\times 1666\\ & \approx 1727.64\end{array}}$