Damage Formula

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The following is the damage formula given in the official Another Eden World Ultimania book:

Damage Formula

$TotalDamage=(BaseDamage * ElementalModifier + DamageSpread) * SkillModifier * EnemyResistance$ ※The minimum allowed value of (BaseDamage * ElementalModifier) is 1 if EnemyDEF exceeds ATK by 2 times for normal hits (or 4 times for critical hits).

Critical Hit Chance

$CriticalHitChance = LCK / 16$ ※Currently only Physical attacks are capable of critical hits.

Base Damage

Physical(PWR/ATK dependent)

$BaseDamage = (ATK - \frac{EnemyDEF}{2}) * (\frac{PWR}{32} + 1) * 1.75$ Critical Hit:
$BaseDamage = (ATK - \frac{EnemyDEF}{4}) * (\frac{PWR}{32} + 1) * 3.25$ Physical(INT/M.AT dependent)

$BaseDamage = (M.AT - \frac{EnemyDEF}{2}) * (\frac{INT}{32} + 1) * 1.75$ Critical Hit:
$BaseDamage = (M.AT - \frac{EnemyDEF}{4}) * (\frac{INT}{32} + 1) * 3.25$ Magical

$BaseDamage = (M.AT - \frac{EnemyM.DF}{2}) * (\frac{INT}{32} + 1) * 1.75$ Critical Hit:
$BaseDamage = (M.AT - \frac{EnemyM.DF}{4}) * (\frac{INT}{32} + 1) * 3.25$ Elemental Modifier

The Element Modifier is equal to 1 for Null element attacks, otherwise refer to the formulas below. Also, please note that Intelligence buffs have no effect on Element Modifiers.

Physical(PWR/ATK dependent)

$ElementalModifier=\frac{\sqrt{M.AT * 10 + 16} - 4}{64} + 1$ Physical(INT/M.AT dependent)

$ElementalModifier=\frac{\sqrt{INT * 10 + 16} - 4}{64} + 1$ Magical

$ElementalModifier=\frac{\sqrt{INT * 10 + 16} - 4}{64} + 1$ RandNum is an integer ∈[16,47] for physical attacks, and ∈[32,94] for magical attacks

Physical(PWR/ATK dependent)

$DamageSpread = \frac{ATK * RandNum}{25.6}$ Physical(INT/M.AT dependent)

$DamageSpread = \frac{M.AT * RandNum}{25.6}$ Magical

$DamageSpread = \frac{M.AT * RandNum}{25.6}$ Skill Modifier

The following are modifiers on character skills:

Single Hit Skills
Skill Target Skill Type Element Skill S M L XL
Single Target Physical Non-Elemental 150% 170% 190% 210%
Elemental 140% 160% 180% 200%
Magical Non-Elemental 140% 160% 180% 200%
Elemental 130% 150% 170% 190%
AoE Physical Non-Elemental 110% 130% 150% 170%
Elemental 100% 120% 140% 160%
Magical Non-Elemental 100% 120% 140% 160%
Elemental 90% 110% 130% 150%
• Multi-hit skill modifiers when summed up are equivalent to their single hit skill modifiers.
• eg. A non-elemental physical single target skill (150%) multi-hit skill will have a multiplier on each attack of 75% x2 or 50% x3.
• If the number of hits divides unevenly, round the multiplier up.
• eg. Foran's Lightning Stab has a 190% multiplier, but 3 hits = 63.3333...%. This rounds up to 64% x3.
• Basic attacks have a skill modifier value of 1.

Enemy Resistance

• When attacking an enemy Weak to your attack,
• Value is 2.0 for magical attacks.
• Value is $\left(\mathrm{M.AT} + \sqrt{2 \cdot \mathrm{M.AT}}\right)\!\!/512 + 1.85$ for Str-based Physical attacks.
• Value is $\left(\mathrm{INT} + \sqrt{2 \cdot \mathrm{INT}}\right)\!\!/512 + 1.85$ for Int-based Physical attacks.
• When attacking a Resistant enemy, value is 0.25.
• When attacking a Absorptive enemy, value is -0.5 (skill heals rather than dealing damage).
• During Another Force, the value is 0.
• When attacking an Ineffective enemy, value is 0.
• When attacking normal enemies, value is 1.