Damage

Damage is the means of depleting a unit's health. The damage from an attack - weapon, Special Attack or skill - depends on the character's or target's attack/weapon strength and various damage modifiers, such as ATK stat and damage taken debuffs.

Overview

The amount of damage dealt is calculated via the following procedure:

First, the base damage is calculated from the weapon damage and the character's ATK:

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$attackDamage=10\cdot totalWeaponDamage\cdot \frac{totalATK}{100\mathrm{\%}}$

attackDamage = 10 * totalWeaponDamage * totalATK/100%

Then randomization is added to the base damage if the base damage is greater than 2. This will result in the new value being within ±10% range of the base value if the base damage is higher than 20 or ±2 damage if base damage is less than 20:

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$randAttackDamage=attackDamage-random(max((attackDamage\cdot 0.1),2))+random(max((attackDamage\cdot 0.2),4)$

randAttackDamage = attackDamage - random(max((attackDamage * 0.1), 2)) + random(max((attackDamage * 0.2), 4)

Lastly the value is multiplied by damage modifiers and rounded to closest integer. In the case of a result that ends in .5 the rounding is to the nearest even integer.

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$totalDamage=round(randAttackDamage\cdot damageMod)$

totalDamage = round(randAttackDamage * damageMod)

Weapon damage

The damage dealt by a weapon or an attack depends on its base damage modifier, enhancements applied to a weapon beyond its max level and the Growth bonus to the character's main weapon or special attack.

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$totalWeaponDamage=weaponDamage+enhancementBonus+growthBonus$

totalWeaponDamage = weaponDamage + enhancementBonus + growthBonus

WeaponDamage is composed of BaseWeaponDamage and three different sets of modifiers. BaseWeaponDamage is a unique value for each weapon which is the starting point for all damage scaling. To simplify things we will call the three categories of modifiers WeaponDamageA, WeaponDamageB, and WeaponDamageC. BaseWeaponDamage is first multiplied by every WeaponDamageA, then every WeaponDamageB is added to the result, and then finally that result is multiplied by every WeaponDamageC.

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$weaponDamage=((\frac{baseWeaponDamage}{100\mathrm{\%}}\cdot (1+\frac{WeaponDamageA1}{100\mathrm{\%}})\cdot (1+\frac{WeaponDamageA2}{100\mathrm{\%}})\dots )+\frac{WeaponDamageB1}{100\mathrm{\%}}+\frac{WeaponDamageB2}{100\mathrm{\%}}+\dots )\cdot (1+\frac{WeaponDamageC1}{100\mathrm{\%}})\cdot (1+\frac{WeaponDamageC2}{100\mathrm{\%}})\cdot \dots$

weaponDamage = ((baseWeaponDamage/100% * (1 + WeaponDamageA1/100%) * (1 + WeaponDamageA2/100%) * ...) + WeaponDamageB1 + WeaponDamageB2 + ...) * (1 + WeaponDamageB1/100%) * (1 + WeaponDamageB1/100%) * ...

The majority of existing modifiers to WeaponDamage in the game fall in category A. This group contains level up, stamp and enchantment bonuses to WeaponDamage as well as most skills and other effects that contribute to WeaponDamage. The level up multuipliers refer to the increases to weapon damage that comes from leveling the weapon itself.

List of effects that give WeaponDamageA multipliers

Effect	Type	Weapon Specific	Character
Robo-Discharge	Skill	Robo-Discharge Hi-Spec Mode	Roboco-san
Worldwide Strongest Idol	Skill	Spider Cooking Elite Cooking Broken Dreams Eldritch Horror	Akai Haato
The Reaper	Special Attack	Scythe Swing	Mori Calliope
EN's Curse (lvl 7)	Weapon	EN's Curse	-
Baseball Pitch Awakened	Weapon	Baseball Pitch Awakened	Oozora Subaru
ATK Up Stamp	Stamp	-	-
Lightness Stamp	Stamp	-	-
Solo Stamp	Stamp	-	-
Unit Stamp	Stamp	-	-
Damage +15%	Enhancement	-	-
Level Damage	Level Up	-	-

WeaponDamageB is a small group of additive modifers that come into play between the A and C multipliers.

List of effects that add to WeaponDamageB modifiers

Effect	Type	Weapon Specific	Character
Knight's Dance	Skill	Knight's Dance	Shirogane Noel
Rocket Launcher Awakened	Weapon	Rocket Launcher Awakened	Usada Pekora

WeaponDamageC is another small group of multiplyers that contribute after group B has been applied.

List of effects that give WeaponDamageC multipliers

Effect	Type	Weapon Specific	Character
Material Grind	Skill	-	Kaela Kovalskia
Rocket Launcher	Weapon	Rocket Launcher	Usada Pekora
Study Glasses	Item	-	-

Enhancement bonus

Enhancement bonus is a flat damage bonus applied to weapons using an Anvil's "Upgrade" option on a max level weapon, increasing the weapon's base damage for each successful enhancement. The bonus are split based on the number of attacks in the weapon's main attack sequence, including additional projectiles Projectile Up Stamp, Klutz, or the +1 Projectile enchantment. This value is referred to as splitCount

Some weapons have a custom splitCount that is hard coded which ignore extra projectiles and projectile count. Below is a table of these weapons and their splitCounts

Additionally, levels 2 and 3 of Blacksmith's Gear provide a multiplier to the enhancement bonus

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$enhancementBonus=\frac{(0.2+\frac{max(1,blacksmithsGearLevel)-1}{20})\cdot weaponEnhancements}{splitCount}$

enhancementBonus = (0.2 + ( max(1, blacksmithsGearLevel) - 1) / 20) * weaponEnhancements) / splitCount

Growth bonus

Growth is flat damage bonus that only applies to the character's main weapon's or Special Attack's damage. Similarly to enhancements, the bonus is divided by the number of the attacks in the weapon's attack sequence. Additionally, if the attack's hit cooldown is less than 20, the growth bonus is gradually reduced to a minimum of 20%.

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$growthBonus=\frac{0.01\cdot growthLevel\cdot playerLevel\cdot \frac{min(20,max(4,hitCD))}{20}}{splitCount}$

growthBonus = (0.01 * growthLevel * playerLevel * min(20, max(4, hitCD))/20) / splitCount

ATK

The damage dealt by a character is most notably modified by their ATK-stat. The characters total ATK is the sum of their base ATK stat and all ATK bonuses from items and the character's skills. ATK bonuses stack additively.

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$totalATK=baseATK+(bonus1+bonus2+bonus3+\dots )$

totalATK = baseATK + (bonus1 + bonus2 + bonus3 + ...)

Damage modifiers

Damage modifiers are multipliers to the attack's damage. Damage modifiers generally stack multiplicatively with each other and additively with other effects of the same type.

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$damageMod=(1+\frac{totalCritMod}{100\mathrm{\%}}\cdot BonusCritDamage)\cdot bonusDamageTaken\cdot DB\cdot SkillDamage\cdot DR$

damageMod = (1 + totalCritMod/100% * BonusCritDamage) * bonusDamageTaken * DB * SkillDamage * DR

Critical hits

Critical hits multiply the damage dealt based on their critical damage modifier, if triggered. By default each character's critical damage modifier is 50%, meaning that their critical hits deal 1.5x damage. Some abilities can change the character's or the weapon's critical hit modifier.

Critical damage modifiers from different sources stack additively with each other. Critical damage modifiers that effect all damage are summed together as CRT Damage in the pause menu. CRT Damage does not include baseCritMod.

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$totalCritMod=baseCritMod+(critMod1+critMod2+critMod3+\dots )$

totalCritMod = baseCritMod + (critMod1 + critMod2 + critMod3 + ...)

totalCritMod is only relevant to the damage calculation if your hit is a critical hit. On a regular hit, totalCritMod is 0. If you are looking for average damage you can multiply totalCritMod by CRT/100% before using it in the damageMod calcualation.

List of effects that modify critical damage

Effect	Type	Character
The Ame Way	Skill	Amelia Watson
Rat's Ninja Way	Skill	Hakos Baelz
Chocotto Cooking	Skill	Yuzuki Choco
Lady Of The Peafowl	Skill	Pavolia Reine
The Reaper	Special Attack	Mori Calliope
Axe Swing Awakened	Weapon	Hoshimachi Suisei
Hope Soda	Item	-
ATK Up Stamp	Stamp	-
Crit Damage +10%	Enhancement	-

Bonus Crit Damage

When a player character gains CRT above 100% the excess is converted to Bonus Crit Damage.

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$BonusCritDamage=1+\left(\frac{Crit\mathrm{\%}-100}{200}\right)$

BonusCritDamage = 1 + ((Crit% - 100)/200)

Bonus damage taken

Bonus damage taken modifiers are applied by debuffs. Bonuses of this type stack additively with each other.

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$bonusDamageTaken=1+\frac{bonus1+bonus2+bonus3+\dots }{100\mathrm{\%}}$

bonusDamageTaken = 1+((bonus1 + bonus2 + bonus3 + ...) / 100%)

Damage bonus

Damage bonus (DB) is a separate variable from bonus damage taken. Instead of being based on debuffs on enemies, these effects directly boost the character damage. Currently, all effects that modify DB are expressed in a multiplier form in the game text, rather than a percentage form, with the exception of Slumber. These modifiers stack additively with each other.

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$DB=1+(bonus1-1)+(bonus2-1)\dots$

DB = 1 + (bonus1-1) + (bonus2-1) ...

List of effects that modify DB

Effect	Type	Character
Slumber	Skill	Anya Melfissa
Holy Fire	Weapon	-
Gorilla's Paw	Item	-
Face Mask	Item	-
Candy Kingdom Sweets	Item	-

Skill Damage

Several effects in the game boost damage for skills. These effects are additive with each other and serve as a multiplier on damage for valid skills. Skills that copy damage from another source do not work with skill damage.

List of effects that Skill Damage

Effect	Type	Character
GWS Pill	Item	-
Super Injection Type Asacoco	Item	-
Skill Up	Upgrade	-
Fan Letters	Fan Letter	-

Damage reduction

The damage reduction modifier is comprised of the various reductions to the damage the target receives from the attacker. This type of modifiers exceptionally stack multiplicatively with each other. Currently only damage dealt to the player is impacted by this modifier but since the game uses the same formula for dealing damage to the player as it does for dealing damage to enemies, this variable is included.

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$DamageReceived=Damage\cdot (1-\frac{DR1}{100\mathrm{\%}})\cdot (1-\frac{DR2}{100\mathrm{\%}})\cdot (1-\frac{DR3}{100\mathrm{\%}})\cdot \dots$

Damage Received = Damage * (1 - DR1/100%) * (1 - DR2/100%) * (1 - DR3/100%) * ...

List of effects that modify damage received

Effect	Type	Character
Endurance	Skill	Inugami Korone
Worldwide Strongest Idol	Skill	Akai Haato
Hoshinova & Moona	Skill	Moona Hoshinova
Slumber	Skill	Anya Melfissa
Muscle	Skill	Shirogane Noel
Hatotaurus	Special Attack	Ookami Mio
Body Pillow	Item	-
Membership	Item	-
Breastplate	Item	-
Face Mask	Item	-
Defense Up	Upgrade	-
BBQ Squid	Food	-

On-hit damage

Some sources apply damage as an on-hit effect. These on-hit effects are all multipliers that are applied after totalDamage is calculated. Some of these effects have their own rounding or flooring of the damage that they apply, so the order in which the effects are applied in the damage formula makes a difference. The order in which on-hit effects are applied is non-deterministic.

After all applicable on-hit affects are applied the final damage is rounded one last time. All rounding both by on-hit effects and by this last step follows the same rule for numbers ending in .5.

List of effects that apply on-hit damage

Effect	Type	Character	Rounding Type
The Forbidden Wah	Skill	Ninomae Ina'nis	-
Cheerful Laugh	Skill	Ookami Mio	Floor
Duck Whisper	Skill	Oozora Subaru	Floor
Cleaning Maid	Skill	Minato Aqua	-
No Pressure	Skill	Kaela Kovalskia	Round
Secret Agent	Skill	Vestia Zeta	-
GMMF	Skill	Kiryu Coco	?
Apex Shooter	Skill	Tokoyami Towa	?
Cleaning Broom Awakened	Weapon	Minato Aqua	-
Beetle	Item	-	Floor
Devil Hat	Item	-	Floor
Ninja Headband	Item	-	Floor
Piki Piki Piman	Item	-	Floor
Unit Stamp	Stamp	-	Round
Rock Hard Stamp	Stamp	-	?

Direct damage

A few effects in this game deal damage directly rather than going through the full damage calculation. Most of these effects copy damage from a triggering source and modify it in some manner. In the case of direct damage all of the steps of the damage calculation are skipped except for on-hit effects.

History

Changelog

OfficialUndocumented

Update 0.6 Release Patch - Version 0.6.1692237270 - 2023-08-17

• The calculation for weapon damage boosts from Enhancing and Growth has been adjusted. When Base weapon damage is increased via enhancing or Growth, the increase is evenly distributed among the amount of projectiles for the attack.
  • (Example, +2 base weapon after Enhancing Level 7 Piercing Feather (4 projectiles) is an increase of +0.5 base damage per feather.)

Update 0.3 Release Patch [!] - Unknown build - 2022-06-24

• Included in the first public release of the game.

Update 0.6 Release Patch - Version 0.6.1692237270 - 2023-08-17

• The calculation for weapon damage boosts from Enhancing and Growth has been adjusted. When Base weapon damage is increased via enhancing or Growth, the increase is evenly distributed among the amount of projectiles for the attack.
  • (Example, +2 base weapon after Enhancing Level 7 Piercing Feather (4 projectiles) is an increase of +0.5 base damage per feather.)
  • Growth now also has reduced effect when the attack's hit cooldown is (strictly) lower than 20.^{[Undocumented]}

Update 0.5 Patch 5 - Version 0.5.1676796915 - 2023-02-17

• Damage stamps' stacking changed from multiplicative to additive. ^{[Undocumented]}

Update 0.5 Release Patch - Version 0.5.1676003428 - 2023-02-10

• Reduced damage random range. ^{[Undocumented]}

Update 0.4 Release Patch - Version DEMO 0.4.1662717673 - 2022-09-09

• Added lower attack time limit for weapons.^{[Undocumented]}

Min attack time

Weapon	Frames
Spider Cooking	600
BL Book	300
Time Bubble	245
Idol Concert	40
Light Beam	10
BL Fujoshi	110
Elite Cooking	10
Breathe-In Asacoco	20
Flattening Board	10
MiComet	5
Dragon Fire	3
Other weapons/attacks	1