How a hit is worked out, elements, classes, statuses and stats

Lost Sword damage formula and mechanics

A hit starts from the stat the skill scales on, usually Attack, then runs through the target's Defense, the level gap, critical hits and the bonus and reduction stats, in the order below. Every element beats one other element, and each class's Attack counts as melee, ranged or magic.

1. 1.The skill's stat

   The skill panel names it: "Inflict damage equal to 560% of Attack" scales on Attack. A few skills use HP or Defense instead.

2. 2.Damage Reduction comes off

   attack × (1 − (target's Damage Reduction − your Ignore Damage Reduction))

   The target's Damage Reduction, less your Ignore Damage Reduction, never takes away more than 50%. Flat amounts of either, where a buff gives them, come off the attack first.

3. 3.The level gap

   level factor = 1 + gap³ ÷ 22,321 (your side higher) level factor = 1 + gap³ ÷ 91,426 (your side lower)

   The gap is your level minus the target's. Your attack is multiplied by the factor and the target's Defense by 2 minus it, so the factor stays between 0.1 and 1.9. Being higher helps far more than being lower hurts: the table below shows both sides. Colosseum and Party Raid ignore levels, and Hard Mode takes away the bonus for being higher.

4. 4.Attack meets Defense

   A = attack × level factor × (1 + 1.2 × Attack Amp) D = Defense × (2 − level factor) × (1 + 1 × Defense Amplification) damage = A² ÷ (A + D)

   This is the client's Defense Ratio, D ÷ (A + D), taken off the attack: the more Attack you bring, the less of it the same Defense stops. Attack Amp counts 1.2 times over.

5. 5.The skill's percentage

   damage × (skill % + added skill damage %) ÷ 100

   The result rounds up, and a hit always does at least 1.

6. 6.Final Attack and Defense percentages

   damage × (100% + your Attack % − target's Defense %)

   These are the stat lines named plain "Attack" and "Defense" with a percentage, which work on the damage itself. Increase ATK and Increase DEF are different: they raise the stats before step 1. The multiplier never drops below zero.

7. 7.Critical hits

   crit: damage + (damage + Critical Damage) × Critical Damage % Crit Amp: × (1 + 2 × (crit chance − target's Critical Resistance − 100%))

   A skill can cap the Critical Damage % it uses ("Critical damage bonus caps at…" in its panel). Critical Hit Chance above 100%, after the target's Critical Resistance, turns into Crit Amp at 2 times its value. Critical hits can't be blocked; a block halves the attack.

8. 8.Additional Damage and Damage Immunity

   damage × (1 + Additional Damage + target's Additional Damage Received − Damage Immunity)

   Damage Immunity here is the target's plus any reduction the attacker carries as a debuff, and on a player's character it can't go past 50%.

9. 9.Final damage

   damage × final damage modifiers (never below 10%)

   In the Colosseum every hit is then scaled to 5%. Shields, damage caps and damage immunity apply after this.

The same factor works both ways: your attack and your Defense against the enemy's hits move together, and the enemy's move the other way.

Six elements run in a loop, each dealing 30% more damage to the next and taking 30% less from it. Holy sits outside the loop with no matchup either way.

A character's plain Attack counts as its class's kind of attack, so a bonus to Magic ATK helps Wizards and Healers and nobody else.

Each status has its own Accuracy stat on the attacker and Resistance stat on the target, on top of the general Status Effect Accuracy and Resistance.