Difference between revisions of "Damage Formula"

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==General Damage Formula==
 
==General Damage Formula==
This is the estimated formula to calculate adventurer and enemy damage. Note that dragon form increases your STR value by a currently unknown amount.
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This is the approximate formula to calculate adventurer and enemy damage. Some factors may not be accounted for. All damage is rounded down from its final value (ie a final calculation of 745.76 rounds down to 745 damage).
  
[[File:General Damage Formula.PNG|link=]]
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<math style="max-width:95%">\frac{5}{3} * \frac{(100-{\color{Navy Blue}Damage\ Resistance})% * {\color{BrickRed}Attacker's\ Strength} * {\color{BrickRed}Attack\ Modifier\ %} * {\color{BurntOrange}Crit\ Modifier} * {\color{BurntOrange}Skill\ Damage\ %} * {\color{BurntOrange}Punisher\ Modifier\ %} * {\color{ForestGreen}Elemental\ Modifier} * {\color{Purple}Dragon\ Damage} * Damage\ Spread}{{\color{NavyBlue}Defender's\ Defense} * {\color{NavyBlue}Defender's\ Defense\ Change}}</math>
  
 
===Variables===
 
===Variables===
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* [[Glorious Tempest]] MUB with 25% High Midgardsormr Resistance and 5% Wind Resistance gives a total resistance multiplier of 1-(75% x 95%) = '''28.75%''' against [[High Midgardsormr (Enemy)]]
 
* [[Glorious Tempest]] MUB with 25% High Midgardsormr Resistance and 5% Wind Resistance gives a total resistance multiplier of 1-(75% x 95%) = '''28.75%''' against [[High Midgardsormr (Enemy)]]
 
* [[Volcanic Queen]] MUB with 20% Brunhilda Resistance and 5% Fire Resistance gives a total resistance multiplier of 1-(80% x 95%) = '''24%''' against [[Brunhilda (Enemy)]]
 
* [[Volcanic Queen]] MUB with 20% Brunhilda Resistance and 5% Fire Resistance gives a total resistance multiplier of 1-(80% x 95%) = '''24%''' against [[Brunhilda (Enemy)]]
|-
 
! Skill Modifier
 
| If using a skill, the skill damage multiplier. Refer to specific skill pages for the numbers. Skill Damage boosts are added up and then multiplied with this number.<br>
 
* [[Amane]]'s Empyreal Levin Level 3 (2 hits of 492%) with Plunder Pals MUB (25% Skill Damage) and 5% Skill Damage Co-Ability. The total Skill Damage is '''30%''', and increases the damage of Empyreal Levin to 2 hits of 639.6%.
 
* [[Lucretia]]'s Energized Empowering Triplet (3 hits of 322%, with 50% Bonus Skill Damage) with Plunder Pals MUB (25% Skill Damage) and 8% Skill Damage Co-Ability. The total skill damage is '''83%''', and increases the damage of Empowering Triplet to 3 hits of 589.26%.
 
If using a normal attack, refer to [[Combat Mechanics]]. Normal attacks do not receive boosts from Skill Damage.
 
|-
 
! Damage Spread
 
| This is essentially an "RNG" variable to determine the range of values a player can deal damage for. This ranges from 95% to 105%, but for simple calculations, assuming 100% is sufficient.
 
 
|-
 
|-
 
! Strength
 
! Strength
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* Displayed Strength from Ability is found by clicking the Details button when looking at an Adventurer's individual page. Currently the only Ability to affect this value is the Dragon HP/STR and STR passives for matching elements.
 
* Displayed Strength from Ability is found by clicking the Details button when looking at an Adventurer's individual page. Currently the only Ability to affect this value is the Dragon HP/STR and STR passives for matching elements.
 
|-
 
|-
! Critical
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! Attack Modifier
 +
| If using a Normal Attack this is equal to the attack modifier. Refer to [[Combat Mechanics]] for the relevant numbers. <br>
 +
If using a [[Skills|Skill]], then this is the skill's individual multiplier. Refer to specific skill pages for the numbers.
 +
|-
 +
! Crit Modifier
 
| When a unit lands a critical hit, the damage will have a 1.7 modifier + Sum of all Crit Damage modifiers.
 
| When a unit lands a critical hit, the damage will have a 1.7 modifier + Sum of all Crit Damage modifiers.
 +
|-
 +
! Skill Damage
 +
| Normal attacks do not receive boosts from Skill Damage, so this is equal to 100% (has no effect) for [[Combat Mechanics|Normal Attacks]]. For [[Skills]] this is equal to the sum of your Skill Damage boosts. Skill Damage boosts are all additive with each other.<br>
 +
* [[Amane]]'s Empyreal Levin Level 3 (2 hits of 492%) with Plunder Pals MUB (25% Skill Damage) and 5% Skill Damage Co-Ability. The total Skill Damage is '''30%''', and increases the damage of Empyreal Levin to 2 hits of 639.6%.
 +
* [[Lucretia]]'s Energized Empowering Triplet (3 hits of 322%, with 50% Bonus Skill Damage) with Plunder Pals MUB (25% Skill Damage) and 8% Skill Damage Co-Ability. The total skill damage is '''83%''', and increases the damage of Empowering Triplet to 3 hits of 589.26%.
 
|-
 
|-
 
! Punisher Modifier
 
! Punisher Modifier
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* Ex. OD Punisher 8% + Bleed Punisher 8%, for a '''16% total Punisher''' on a OD enemy
 
* Ex. OD Punisher 8% + Bleed Punisher 8%, for a '''16% total Punisher''' on a OD enemy
 
* Ex. OD punisher 8% + OD Punisher 8%, for a '''16% total Punisher''' on a OD enemy
 
* Ex. OD punisher 8% + OD Punisher 8%, for a '''16% total Punisher''' on a OD enemy
Add up all Broken Punisher<br>
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Add up all Broken Punisher and multiply it by any other Punisher<br>
 
* Ex. Broken Punisher 10% + Broken Punisher 25%, [[Ezelith]] using [[One with the Shadows]] 0UB, for a total of '''35% Broken Punisher''')
 
* Ex. Broken Punisher 10% + Broken Punisher 25%, [[Ezelith]] using [[One with the Shadows]] 0UB, for a total of '''35% Broken Punisher''')
 
Then multiply them to get the total punisher modifier<br>
 
Then multiply them to get the total punisher modifier<br>
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! Elemental Modifier
 
! Elemental Modifier
 
| See [[#Elemental Modifier|Elemental Modifier]] below.
 
| See [[#Elemental Modifier|Elemental Modifier]] below.
 +
|-
 +
! Dragon Damage
 +
| While shapeshifted, you receive a boost to all damage done. Total boost is the Sum of all Dragon Damage Modifiers, the base transformation Dragon Damage boost is 20%.
 +
* Ex. [[Wind Dracolith]] level 10 gives a total Dragon Damage Modifier of 20% + 10% = '''30%'''
 +
* Ex. [[Water Dracolith]] level 15 and [[Entwined Flames]] 0UB gives a total Dragon Damage Modifier of 20% + 15% + 6% = '''41%'''
 +
|-
 +
! Damage Spread
 +
| This is the inherent RNG Variance of the damage formula. This ranges from 95% to 105%, but for simple calculations, assuming 100% is sufficient.
 
|-
 
|-
 
! Defense
 
! Defense
| Base Defense for most enemies is 10 while some thaumians have a base Defense of 50. Rare enemies can have a defense range anywhere between 12 to 250. Melee adventurers (Sword/Blade/Dagger/Axe/Lance) have a base defense of 10, while Ranged adventurers (Bow/Wand/Staff) have a base defense of 8. To check the defense of a specific enemy or adventurer, refer to their individual Wiki pages.
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| Base Defense for most enemies is 10 while some Thaumians (golems/slimes) have a base Defense of 50. Rare enemies can have a defense range anywhere between 12 to 250. Melee adventurers (Sword/Blade/Dagger/Axe/Lance) have a base defense of 10, while Ranged adventurers (Bow/Wand/Staff) have a base defense of 8. To check the defense of a specific enemy or adventurer, refer to their individual Wiki pages.
 
|-
 
|-
 
! Defense Change
 
! Defense Change
| Modifier sum of all status changes which have an effect on defense. For [[#Boss Mode Modifiers|Boss Mode Modifiers]] see below. Note that some thaumians have unique Overdrive/Break modifiers.
+
| Sum of all status changes which have an effect on defense. For [[#Boss Mode Modifiers|Boss Mode Modifiers]] see below. Note that some Thaumians have unique Overdrive/Break modifiers.
 
|}
 
|}
  

Revision as of 21:35, 7 March 2019

See: Combat Mechanics


General Damage Formula

This is the approximate formula to calculate adventurer and enemy damage. Some factors may not be accounted for. All damage is rounded down from its final value (ie a final calculation of 745.76 rounds down to 745 damage).

Failed to parse (syntax error): {\displaystyle \frac{5}{3} * \frac{(100-{\color{Navy Blue}Damage\ Resistance})% * {\color{BrickRed}Attacker's\ Strength} * {\color{BrickRed}Attack\ Modifier\ %} * {\color{BurntOrange}Crit\ Modifier} * {\color{BurntOrange}Skill\ Damage\ %} * {\color{BurntOrange}Punisher\ Modifier\ %} * {\color{ForestGreen}Elemental\ Modifier} * {\color{Purple}Dragon\ Damage} * Damage\ Spread}{{\color{NavyBlue}Defender's\ Defense} * {\color{NavyBlue}Defender's\ Defense\ Change}}}

Variables

Variable Description
Damage Resistance Sum all resistances of the same type together and then multiply them by the other types.
Strength (Displayed Strength - Displayed Strength from Ability) x (1 + Dragon STR Passive + Sum of all Abilities) x (1 + Sum of all Buffs) x (1 + blade unit Co-abilities)
  • Displayed Strength is the STR number seen on an adventurer's information page in-game. This includes the Dragon passives to HP/STR, or STR, as well as the 1.5x modifier to Dragon and Weapon base stats for same element boosts.
  • Displayed Strength from Ability is found by clicking the Details button when looking at an Adventurer's individual page. Currently the only Ability to affect this value is the Dragon HP/STR and STR passives for matching elements.
Attack Modifier If using a Normal Attack this is equal to the attack modifier. Refer to Combat Mechanics for the relevant numbers.

If using a Skill, then this is the skill's individual multiplier. Refer to specific skill pages for the numbers.

Crit Modifier When a unit lands a critical hit, the damage will have a 1.7 modifier + Sum of all Crit Damage modifiers.
Skill Damage Normal attacks do not receive boosts from Skill Damage, so this is equal to 100% (has no effect) for Normal Attacks. For Skills this is equal to the sum of your Skill Damage boosts. Skill Damage boosts are all additive with each other.
  • Amane's Empyreal Levin Level 3 (2 hits of 492%) with Plunder Pals MUB (25% Skill Damage) and 5% Skill Damage Co-Ability. The total Skill Damage is 30%, and increases the damage of Empyreal Levin to 2 hits of 639.6%.
  • Lucretia's Energized Empowering Triplet (3 hits of 322%, with 50% Bonus Skill Damage) with Plunder Pals MUB (25% Skill Damage) and 8% Skill Damage Co-Ability. The total skill damage is 83%, and increases the damage of Empowering Triplet to 3 hits of 589.26%.
Punisher Modifier Add up all Punisher and Bane damage except Broken Punisher
  • Ex. OD Punisher 8% + Thaumian's Bane 25%, for a 33% total Punisher on a OD enemy
  • Ex. OD Punisher 8% + Sleep Punisher 20%, for a 28% total Punisher on a OD enemy
  • Ex. OD Punisher 8% + Bleed Punisher 8%, for a 16% total Punisher on a OD enemy
  • Ex. OD punisher 8% + OD Punisher 8%, for a 16% total Punisher on a OD enemy

Add up all Broken Punisher and multiply it by any other Punisher

Then multiply them to get the total punisher modifier

  • Ex. Broken Punisher 10% x Blinded Punisher 25%, Nefaria using One with the Shadows 0UB, for a 37.5% Total Punisher on a Blinded and Broken enemy)
  • Ex. Broken Punisher 20% x Thaumian's Bane 25%, for a 50% total Punisher on a Broken enemy.)
Elemental Modifier See Elemental Modifier below.
Dragon Damage While shapeshifted, you receive a boost to all damage done. Total boost is the Sum of all Dragon Damage Modifiers, the base transformation Dragon Damage boost is 20%.
Damage Spread This is the inherent RNG Variance of the damage formula. This ranges from 95% to 105%, but for simple calculations, assuming 100% is sufficient.
Defense Base Defense for most enemies is 10 while some Thaumians (golems/slimes) have a base Defense of 50. Rare enemies can have a defense range anywhere between 12 to 250. Melee adventurers (Sword/Blade/Dagger/Axe/Lance) have a base defense of 10, while Ranged adventurers (Bow/Wand/Staff) have a base defense of 8. To check the defense of a specific enemy or adventurer, refer to their individual Wiki pages.
Defense Change Sum of all status changes which have an effect on defense. For Boss Mode Modifiers see below. Note that some Thaumians have unique Overdrive/Break modifiers.

Elemental Modifier

The elemental bonus value is one of the following, depending on element advantage / disadvantage. See Elements for more information.

Elemental Bonus Value
Neutral 1
Advantage 1.5
Disadvantage 0.5

Boss Mode Modifiers

Note: Values of 0 are equal to a modifier of 1, as are values of 1, this is due to different styles of entering the data through different updates.

Regular Bosses

Str Modifier Def Modifier
Overdrive 1.2 1
Break 0.7 0.6

Sentinel Bosses

Str Modifier Def Modifier
Overdrive 1.2 1.2
Break 0.7 0.1

Golem Bosses

Str Modifier Def Modifier
Overdrive 1.2 1.2
Break 0.5 0.3

Unique Break Defense Bosses List

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