Dealing damage

The short form, which is right for every attack except Prone Stab and meleeing with a ranged weapon:

StatRoll = rand(PrimaryStat × MasteryMult, PrimaryStat)
BaseRoll = rand(0.8, 1.0)

Damage = SkillMult × (BaseRoll + (StatRoll × WepMult + SecondaryStat) / 100 + AttackPower / 50) × WeaponAttack

The full form, with the two divisors the client picks by weapon and action:

StatDiv = 300  if Prone Stab (any weapon)
          300  if Bow / Crossbow / Claw and the action is Swing, Stab or Other
          100  otherwise (incl. Bow / Crossbow / Claw on Shoot)

AtkDiv  = 150  if Prone Stab (any weapon)
          150  if Bow / Crossbow / Claw and the action is Swing or Other
           50  otherwise (incl. their Stab, and Shoot)

StatRoll = rand(PrimaryStat × MasteryMult, PrimaryStat)
BaseRoll = rand(0.8, 1.0)

Damage = SkillMult × (BaseRoll + (StatRoll × WepMult + SecondaryStat) / StatDiv + AttackPower / AtkDiv) × WeaponAttack

Prone Stab    replaces 0.8 and 1.0 with 0.2 and 0.3, and forces WepMult = 1
Lucky Seven   forces WepMult = 3.0 in place of the Claw Shoot 2.5

• StatRoll and BaseRoll are two separate rolls. One can land low while the other lands high, so most hits sit near the middle of the range and the very top and bottom are rare.
• MasteryMult is (0.1 + MasteryLevel / 10) × 0.7, off your weapon mastery. It only moves the low end: mastery 10 makes it 0.77.
• The action the attack lands on picks WepMult. The skill only matters if it is one of the few with a fixed action (below).
• A bow, crossbow or claw shoots on Shoot (StatDiv 100). The 300 rows are what you get hitting someone with it, like a claw with no stars left.
• Prone Stab is the poke you make lying down. It is weak on purpose.
• Lucky Seven uses its own mastery, z / 1000 off its row. The row says 500, so it is 0.5 whatever your Claw Mastery is.

MasteryMult = (0.1 + MasteryLevel / 10) × 0.8

Try itPhysical range, release and CoT2

Weapon and action

Weapon type

×

Action

Swing 1.8Stab 1.8Shoot -Other 1.8

Special cases

Prone StabLucky Seven

Your numbers

Primary (STR)−+

Secondary (DEX)−+

Weapon attack−+

Attack power−+

Mastery level−+

Skill damage %−+

244.51 – 301.83

One hit, before defence

1H Sword on Swing

Public Release

244.51 – 301.83

Release physical range

CoT2: From Closed Online Test 2 (Beta 2). Not in the Public Release; kept here as a record. Closed Online Test 2

260.24 – 301.83

CoT2 physical range

WepMult

1.8

StatDiv / AtkDiv

100 / 50

Mastery, release

0.77

Mastery, CoT2

0.88

Starts on OSMS’s example: a Gladius at its own requirements (65 STR, 30 DEX, 47 attack) with Power Strike at 260%. Before defence and everything after it.

WepMult multiplies your primary stat, so it is the biggest number in the formula. The weapon sets the row and the action sets the column. The last column is a basic attack’s average over the actions its weapon draws from (next table).

Weapon multiplier by weapon type and action

Weapon	Swing	Stab	Shoot	Other	Basic attack
1H Sword	1.8	1.8	-	1.8	1.8
2H Sword	2.5	2.5	-	2.5	2.5
1H Blunt Weapon	2.4	1.2	-	1.8	1.92
2H Blunt Weapon	3	2	-	2.5	2.6
1H Axe	2.4	1.2	-	1.8	1.92
2H Axe	3	2	-	2.5	2.6
Spear	1.5	3.5	-	2.5	2.3
Polearm	3.5	1.5	-	2.5	2.7
Bow	1	1	2.5	1	2.5
Crossbow	1	1	2.5	1	2.5
Claw	1	1	2.5	1	2.5
Dagger	1	2	-	1.5	1.4
Wand	1.8	1.8	-	1.8	1.8
Staff	1.8	1.8	-	1.8	1.8
Barehanded	1	1	1	1	1

• A spear stabs at 3.5 and swings at 1.5, and its basic attack stabs two times in five: that averages 2.3. A polearm is the other way round and averages 2.7. A spearman wants stab skills.
• A 1H axe or blunt weapon swings at 2.4 but stabs at 1.2, so a stab-only skill with one is a bad deal.
• Wands and staves only matter here when you whack something with them. Spells never read this table.

Table read out of the client by @kirbypickr, @Slash, @cptbattler and @ohmi on Discord.

A normal attack picks its animation evenly from a list the weapon owns, so the odds are just what is in the list. Three swings and two stabs is 60/40. Bows, crossbows and claws fire from a second list, so a normal shot is always Shoot; the rows for them here are their melee attacks.

Swing and stab share of a normal melee attack

Weapon	Swing	Stab
1H Sword / 1H Axe / 1H Blunt Weapon	60%	40%
2H Sword / 2H Axe / 2H Blunt Weapon	60%	40%
Spear / Polearm	60%	40%
Dagger	60%	40%
Crossbow	50%	50%
Bow	100%	-
Wand / Staff	100%	-
Claw	-	100%
Barehanded	-	100%

These skills never roll for swing or stab: the client’s action classifier pins them before it looks at the animation. Double Stab with a dagger stabs at 2.0 every time.

• The weapon’s default group is mostly debuffs. Their label is the classifier’s; it puts no multiplier on damage.
• Everything marked CoT2 is a third-job skill. The release has the classifier but none of those skills.

MIN = (BasicAttack / 100) × (floor(TotalInt / 2) + MagicAttack) × (TotalInt × MasteryMult / 125 + 1)
MAX = (BasicAttack / 100) × (floor(TotalInt / 2) + MagicAttack) × (TotalInt / 125 + 1)

• One roll between MIN and MAX per hit. No weapon multiplier, no swing or stab.
• floor(TotalInt / 2) + MagicAttack is the MAGIC number on your stat window. MagicAttack is gear, scrolls and buffs.
• Basic Attack and mastery both come off the spell’s own row. Magic Claw at 20 is Basic Attack 65 at mastery 10, twice a cast.
• Poison Mist is all burn, Poison Breath’s hit comes from a hidden second skill, and Heal has its own formula below.

MIN = (BasicAttack / 100) × (floor(TotalInt / 2) + MagicAttack) × (TotalInt × MasteryMult / 100 + 1)
MAX = (BasicAttack / 100) × (floor(TotalInt / 2) + MagicAttack) × (TotalInt / 100 + 1)

Try itMagic range, release and CoT2

The spell and you

Spell

×

Skill level−+

INT−+

Magic attack−+

75.67 – 81.77

Magic Claw level 20, one hit before defence

It hits 2 times a cast: 151.34 – 163.54 in all.

Public Release

75.67 – 81.77

Release magic range

CoT2: From Closed Online Test 2 (Beta 2). Not in the Public Release; kept here as a record. Closed Online Test 2

84.42 – 88.4

CoT2 magic range

Basic Attack

65

Mastery level

10

MAGIC

85

Hits

2

Starts on OSMS’s example: a Mithril Wand at its requirement (60 INT, 55 Magic Attack) casting Magic Claw. CoT2 spells are in the list, marked. Before defence.

MAX = MasteryPercent × 5 × (1 + MesosPerPile / (MesosPerPile + 10))
MIN = MAX / 2

• MasteryPercent is the row’s x over 10: 90% at level 1 and 150% at 30. The tooltip says 146% and 148% at 28 and 29; the row says 144% and 146%, and the row is what the client reads.
• Every pile rolls its own damage and the piles add up, up to 10 at level 1 and 15 at 30.
• Pile size stops paying fast. 10 mesos is ×1.5, 100 is ×1.91, 1,000 is ×1.99, and nothing reaches ×2.
• A Chief Bandit skill, so only CoT2 had it. The release client still has the routine.

Try itMeso Explosion

The skill and the ground

Skill level−+

Mastery 150%, up to 15 piles

Mesos per pile−+

Piles exploded−+

715.91 – 1,431.82

Damage per pile, before defence

Each pile rolls on its own. 100 mesos drops as a bundle (100 to 999).

1 pile, in all

716 – 1,432

Pile bonus

×1.909

Ceiling at any size

1,500

The pile on the ground is the icon the client drops for that many mesos. Before defence and the rest.

HealBase = ((TotalInt × Roll + TotalLuk) / 1000 + 2.5) × (floor(TotalInt / 2) + MagicAttack) × (RecoveryRate / 100) × ((TargetsHit − 1) × 0.5 + 1)

Roll = rand(0.1, 1.2)

Damage = trunc(HealBase) / TargetsHit / 1.5

• This is the damage Heal does to undead, not the HP it gives back. How the HP is shared out is not settled yet, which is why this is partly verified.
• RecoveryRate is Heal’s own x: 40 at level 1 to 100 at 30.
• Players and undead share six slots, you included even at full HP. A full party of six leaves no slot for an undead, and Heal hits nothing.
• The roll runs from 0.1 to 1.2, so INT moves the top of the range much more than the bottom.

HealBase = ((TotalInt × Roll + TotalLuk) / 200 + 3) × (floor(TotalInt / 2) + MagicAttack) × (RecoveryRate / 100) × (TargetsHit × 0.1 + 1)

Roll = rand(0.8, 1.0)

HealBase = HealBase × (HealBonus / 100 + 1)

Damage = trunc(HealBase) / TargetsHit × 0.5

TotalDamage = (DoTBasicAttack / 100) × (floor(TotalInt / 2) + MagicAttack) × (TotalInt / 125 + 1)

EstimatedDamagePerTick = TotalDamage / DoTDurationSeconds

• Defence never touches a burn. The routine does not read either defence.
• The client works out the total and stops there. Splitting it per second comes from the skill text, so that line is the unverified part; every burn in the data ticks once a second.
• Fire Arrow’s burn is 20 Basic Attack over 3 s at level 1 and 50 at 30.
• It still takes the element, the linear level penalty and a crit roll (further down).

TotalDamage = (BleedPercent / 100) × ((2 × PrimaryStat + SecondaryStat) / 100 + 1 + AttackPower / 50) × WeaponAttack

EstimatedDamagePerTick = TotalDamage / BleedDurationSeconds

• The bleed does not scale off the hit that started it: no skill %, no WepMult, no mastery, no defence.
• Axe Mastery’s row: a 5% chance to bleed for 40% over 3 s at level 1, up to 25% for 100% at 20.
• Like a burn it takes the linear level penalty and can crit.

ComboBonus = 5 × Orbs × (Orbs − 1)   for Panic and Coma
ComboBonus = ComboDamage             for every other skill

SkillMult = SkillMult × (ComboBonus / 100 + 1)

• It needs Combo Attack on and at least one orb.
• Every other skill gets ComboDamage, Combo Attack’s own x: 5% at level 1 to 20% at 30. The orb cap is its y, 3 at level 1 and 5 from level 21.
• It multiplies the skill %, so it multiplies the whole hit. Panic at five orbs does double.

SkillMult = SkillMult × (ChargeDamage / 100 + 1)

• Only while a charge is up.
• ChargeDamage is the charge’s x: 2% at level 1 to 20% at 30. Fire, Ice and Lightning Charge share the numbers.
• The charge also gives the weapon its element, which the element step then reads.

If the monster is flagged, WeaponDefense = 0 and the step below is skipped entirely.

• It sets weapon defence to 0 outright. It does not go through the percent and flat slots the next step reads.
• Physical only. Magic defence has no such branch, which matches the skill’s tooltip.

WeaponDefense = max(0, trunc(BaseWeaponDefense × (PercentEffects / 100 + 1)) + FlatEffects)

Damage = Damage × 100 / (WeaponDefense + 100)

• Physical hits only. trunc rounds toward zero.
• Iron Hog’s 500 is the top of the release’s normal monsters: a hit keeps 16.7% of itself.
• PercentEffects and FlatEffects are two slots on the monster. Threaten fills the percent one (−2% to −10% by level); Disorder is the likely flat one.
• CoT2’s Blunt Weapon Mastery and Crossbow Mastery had a 1% to 20% chance to skip this step, rolled once per attack, so on a multi-hit skill every hit skipped it or none did. In the release both rows give Critical Damage +1% to +20% instead and carry no chance, so there is nothing to roll.

MagicDefense = max(0, trunc(BaseMagicDefense × (PercentEffects / 100 + 1)) + FlatEffects)

Damage = Damage × 100 / (MagicDefense + 100)

• Spells only. The same shape as weapon defence, with its own two slots.
• Nothing in the game lowers magic defence, so this is the number on the monster.
• No proc skips it and Armor Crash does not reach it.
• Fairy 1’s 500 magic defence leaves a spell 16.7%.

Damage = Damage × ElementalMult

An attack with one element:
  0.0  - immune
  0.75 - resistant
  1.0  - neutral
  1.25 - weak against element

An attack with two elements:
  ElementalMult = 0.25 × (Resistance(Element1) + Resistance(Element2))
  Resistance = 0 immune, 1 resistant, 2 neutral, 3 weak

• Only Element Composition carries two elements: Fire with Poison on the Fire/Poison line, Ice with Lightning on the Ice/Lightning line. Both are CoT2’s.
• Only the blend reaches 0.25, 0.5 or 1.5: 1.5 against a monster weak to both, 0 against one immune to both.
• A monster with no entry for the element takes it at 1.0.

LevelDiff = EnemyLevel − PlayerLevel

No penalty if LevelDiff ≤ 0

Direct hits:
  LevelDiff < 10:  Damage = Damage / (LevelDiff² × 0.005 + 1)
  LevelDiff ≥ 10:  Damage = Damage / (LevelDiff × 0.05 + 1)

Damage over time and bleed, at any LevelDiff ≥ 1:
  Damage = Damage / (LevelDiff × 0.05 + 1)

• Only monsters above you cost you anything. Hitting down never gives a bonus.
• The two branches meet at 10 levels, where both divide by 1.5 and a third of the hit is gone.
• Burns and bleeds use the straight line at every gap, so under 10 levels they lose more than a direct hit: at 5 levels a hit keeps 89% and a burn 80%.

Damage = Damage × (ElementAmpDamage / 100 + 1)

• A buff slot the client keeps for spells and burns. The same slot raises the MP cost.
• The skill is a third-job mage’s, so only CoT2 has it. Its row runs y 5% to 35% more magic damage and x 20% to 50% more MP.
• OSMS found the slot but nothing that fills it, so for now treat this step as idle.

IsCrit = rand(0, 99) < CritRate

Damage = Damage × (100 + CritDamage) / 100

• CritRate and CritDamage are the two numbers on your stat window.
• The roll is a whole number from 0 to 99, so a 5% rate crits on 0 to 4.
• Power Knockback always crits. The client checks it by id.
• Burns and bleeds roll for crits too.

Damage = Damage × 0.8^ConsecutiveHits
  1st mob: ×1.0,  2nd: ×0.8,  3rd: ×0.64,  4th: ×0.512

• No other skill has this step. The client checks for Iron Arrow by id.
• The release row hits up to 6 monsters; CoT2’s hit 4.

Damage = Damage × clamp(1 − ConsecutiveHits × 0.2, 0, 1)

Damage = Damage × PartnerDamage / 100
  applied only to hits in the second half of the hit list

• Only the second half of the hit list takes it, which is where the partner’s copies of your stars go.
• The skill’s x runs 10 at level 1 to 40 at 30; its tooltip calls that the extra damage.
• A Hermit skill, so only CoT2 had it.

Damage = trunc(Damage)
Damage = clamp(Damage, 1, 99,999)

• trunc drops the fraction: 325.9 shows as 325.
• No single hit shows more than 99,999, and any hit that connects shows at least 1.