Nise's Formula Compilation

Majority of these numbers are credited to the Godfather of MapleStory numbers/maths, Ayumilove. Namely Ayumi's formula compilation and the attack speed reference. This post serves to alter a few of the numbers to be MapleLegends accurate and/or correct some misconceptions.

Damage (BY Players) Formula

Spoiler: Damage Dealt Calculations

Order of Operations

Step 1: Weapon Damage Formulas
General Formula
MAX = (Primary Stat + Secondary Stat) * Weapon Attack / 100
MIN = (Primary Stat * 0.9 * Mastery + Secondary Stat) * Weapon Attack / 100

*note: Night Lords do NOT use this formula when using Lucky Seven or Triple Throw

**note: Mastery % is what you see in skills like "BW Mastery". Don't forget to account for the Mastery gained by Bow Expert, Marksman Boost, Super Transform, and Beholder (any mastery gained is permanent, even if the skill is NOT ACTIVE).

Code:

One Handed Sword
Primary: STR * 4.0
Secondary: DEX

One Handed Axe/BW/Wand/Staff (Swinging)
Primary: STR * 4.4
Secondary: DEX

One Handed Axe/BW/Wand/Staff (Stabbing)
Primary: STR * 3.2
Secondary: DEX

Two Handed Sword
Primary: STR * 4.6
Secondary: DEX

Two Handed Axe/BW (Swinging)
Primary: STR * 4.8
Secondary: DEX

Two Handed Axe/BW (Stabbing)
Primary: STR * 3.4
Secondary: DEX

Spear (Swinging)
Primary: STR * 3.0
Secondary: DEX

Spear (Stabbing)
Primary: STR * 5.0
Secondary: DEX

Polearm (Swinging)
Primary: STR * 5.0
Secondary: DEX

Polearm (Stabbing)
Primary: STR * 3.0
Secondary: DEX

Dagger (Non-Thieves)
Primary: STR * 4.0
Secondary: DEX

Dagger/Throwing Stars (Thieves)
Primary: LUK * 3.6
Secondary: STR + DEX

Bow
Primary: DEX * 3.4
Secondary: STR

Crossbow
Primary: DEX * 3.6
Secondary: STR

Knuckle
Primary: STR * 4.8
Secondary: DEX

Gun
Primary: DEX * 3.6
Secondary: STR

Special Damage Formulas
Certain skills don't use the general damage formula to calculate the MIN and MAX damage range (don't forget to continue the rest of the steps AFTER this). In those cases, you use these "special damage formulas" to find Step 1 of the order of operations.

Thief

Code:

Lucky Seven/Triple Throw (credit to HS.net / LazyBui for recent verification):
MAX = (LUK * 5.0) * Weapon Attack / 100
MIN = (LUK * 2.5) * Weapon Attack / 100

Claw (punching):
MAX = (LUK * 1.0 + STR + DEX) * Weapon Attack / 150
MIN = (LUK * 0.1 + STR + DEX) * Weapon Attack / 150

Venom (damage per second, credit to Joe Tang):
MAX = (18.5 * [STR + LUK] + DEX * 2) / 100 * Basic Attack
MIN = (8.0 * [STR + LUK] + DEX * 2) / 100 * Basic Attack

Ninja Ambush (credit to Fiel):
Damage per second tick = 2 * [STR + LUK] * Skill Damage Percentage

Shadow Web (credit to LazyBui):
Damage per 3-sec tick = Monster HP / (50 - Skill Level)

Shadow Meso:
Damage = 10 * Number of mesos thrown (in skill description)
Normal critical does not apply, instead it has its own built-in critical listed in skill description

Mages

Code:

Spell Damage:
MAX = ((Magic²/1000 + Magic)/30 + INT/200) * Spell Attack
MIN = ((Magic²/1000 + Magic * Mastery * 0.9)/30 + INT/200) * Spell Attack

Heal Damage (credit to Russt//Devil's Sunrise for Target Multiplier function):
MAX = (INT * 1.2 + LUK) * Magic / 1000 * Target Multiplier
MIN = (INT * 0.3 + LUK) * Magic / 1000 * Target Multiplier
The % listed in the skill description (300% at max) acts as the skill percent (see Order of Operations above).

Heal Target Multiplier: 1.5 + 5/(number of targets including yourself)
For reference-
1 - 6.5
2 - 4.0
3 - 3.166
4 - 2.75
5 - 2.5
6 - 2.333

Poison Brace/Poison Mist/Fire Demon/Ice Demon:
Damage per second tick = Monster HP / (70 - Skill Level)

Misc.

Code:

Dragon Roar (credit to Stereo):
MAX = (STR * 4.0 + DEX) * Weapon Attack / 100
MIN = (STR * 4.0 * Mastery * 0.9 + DEX) * Weapon Attack / 100

Blank Shot:
Speculated to be calculated without bullet attack or Gun Mastery

Flamethrower (credit to blitzkrieg):
Damage per second tick: Damage of initial hit * (5% + Amp Bullet Damage %)

Power Knock Back (both weapons, credit to AGF/Fiel):
MAX = (DEX * 3.4 + STR) * Weapon Attack / 150
MIN = (DEX * 3.4 * Mastery * 0.9 + STR) * Weapon Attack / 150
Mastery is 0.1 at all levels

Phoenix/Frostprey/Octopus/Gaviota (credit to Sybaris/KaidaTan):
MAX = (DEX * 2.5 + STR) * Attack Rate / 100
MIN = (DEX * 2.5 * 0.7 + STR) * Attack Rate / 100

Step 2: Modifiers

Code:

Combo Attack Modifier:
(if you haven't unlocked [Advanced] Combo Attack yet, use 0%):
1 - 5 orbs = [Advanced] Combo Attack Skill % + (Combo Attack Skill % - 100) + floor[ (orbs - 1) * (Combo level / 6) ] %
6 - 10 orbs = [Advanced] Combo Attack Skill % + (Combo Attack Skill % - 100) + 20% + (orbs - 5) * 4%
5 orbs = 140% with maxed Combo Attack
10 orbs = 190% with maxed [Advanced] Combo Attack

Panic & Coma (also referred to as "Finishers" by Ayumilove):
Finishers = Base Damage * Combo Attack Modifier (see above) * Orb multiplier * Skill Dmg %
Orb multipliers are:
1 orb = 100%
2 orbs = 120%
3 orbs = 154%
4 orbs = 200%
5 - 10 orbs = 250%

Fire/Ice/Lightning Charge element (Paladin):
Advantage = Base damage * (105% + Charge level * 1.5%)
Disadvantage = Base damage * (95% - Charge level * 1.5%)

Holy Charge element (Paladin):
Advantage = Base damage * (120% + Charge level * 1.5%)
Disadvantage = Base damage *(80% - Charge level * 1.5%)

Inferno/Blizzard element (Archer):
Advantage = Base damage * (110% + Skill level * 0.5%)
Disadvantage = Base damage * (90% - Skill level * 0.5%)

Elemental reactions (Mage)
Advantage = Base damage * Elemental Wand/Staff Bonus * 150%
Disadvantage = Base damage * Elemental Wand/Staff Bonus * 50%

Physical Damage Resist (passive ability of Pink Bean)
Disadvantage = Base damage * 50%

Elemental wand/staff Bonus:
(credits to Animate: https://forum.maplelegends.com/index.php?threads/mage-guide-elemental-wands-staffs.3671/)
Ele Wand/Staff 1 = 125% fire damage and 110% poison damage
Ele Wand/Staff 2 = 125% poison damage and 110% fire damage
Ele Wand/Staff 3 = 125% ice damage and 110% lightning damage
Ele Wand/Staff 4 = 125% lightning damage and 110% ice damage

Ele Wand/Staff 5 = 125% fire damage and 110% poison damage
Ele Wand/Staff 6 = 125% poison damage and 110% fire damage
Ele Wand/Staff 7 = 125% ice damage and 110% lightning damage
Ele Wand/Staff 8 = 125% lightning damage and 110% ice damage

Note: When using other elemental skills there is a damage penalty of -25%. This penalty does not apply to Bishop skills in v62 or summons (eg. Ifrit and Elquines).

(Eg) Using Blizzard (ice) with a Ele Wand 7 (ice)
= Base damage * 1.25

(Eg) Using Blizzard (ice) with a Ele Wand 5 (fire)
= Base damage * 0.75

(Eg) Using Genesis with a Ele Wand 5 (fire)
= Base damage * 1

Arrow Bomb:
Impact Hit = 50% damage * Critical Multiplier
Splash Hits = Skill damage * Critical Multiplier
(Arrow Bomb's critical replaces the standard critical bonus, which is normally inserted into the skill damage %, as shown in Order of Operations above. It still uses the same value for critical, however.)

Step 3: Defense/Accuracy
This is the formula for how MONSTER defense reduces damage done FROM player TO monster. There is a separate formula for how player defense works

Code:

Weapon Defense - credit to AGF/Stereo:
MAX damage = (MAX before defense) * (1 - 0.01*D) - WDEF*.5
MIN damage = (MIN before defense) * (1 - 0.01*D) - WDEF*.6
where D is (monster level - player level) if (monster level) > (player level), and 0 otherwise.

Magic Defense - credit to Russt/Paracelsus:
MAX damage = (MAX before defense) - MDEF*.5 * (1 + 0.01*D)
MIN damage = (MIN before defense) - MDEF*.6 * (1 + 0.01*D)

*note: Assaulter ignores defense if at or above the monster’s level
**note: Phoenix/Frostprey/Octopus/Gaviota ignores defense

Physical Accuracy - credit to Ayumilove:
Chance to Hit = Accuracy/((1.84 + 0.07 * D) * Avoid) - 1
(D = monster level - your level. If negative, make it 0.)

Magical Accuracy - credit to Stianweij:
Magic Accuracy = trunc(total int/10) + trunc(luk/10)
Chance to hit 100% = (Avoid + 1) * (1 + D/24)
(D = monster level - your level. If negative, make it 0.)

Step 4: Damage Multiplier From Skills
Simply find the skill you're looking for at: https://maplelegends.com/lib/skill (using other sources like bbb.hidden-street.net isn't advised, since MapleLegends has had a number of balance changes over the years, see here for more information).

Step 5: Critical Damage
Find any applicable critical damage bonuses, once again looking at: https://maplelegends.com/lib/skill. Notable bonuses are:

• Critical Shot (passive for Archers)
  • *note: at max rank it gives +100% critical damage bonus (misleading skill description)
• Critical Throw (passive for Assassins)
  • *note: at max rank it gives +100% critical damage bonus (misleading skill description)
• Stun Mastery (passive for Marauders, not applied to bosses)
  • *note: at max rank it gives +160% critical damage bonus if you have Sharp Eyes AND Stun
• Elemental Boost (passive for Corsairs)
  • *note: acts as if it's a critical damage bonus
• Assassinate (active skill)
• Sharp Eyes (buff provided by Bowmaster/Marksmen)
  • *note: gives an ADDITIONAL +100% for physical attacks
  • *note: for magic attacks do spell damage * 1.4 for final damage value

Code:

(Eg) If we're looking at Triple Throw & Critical Throw (passive) & Sharp Eyes:

Triple Throw (Lvl 30): "MP - 20, Damage 150%"

Afterwards we ADD the critical damage bonuses
= 1.5 (triple throw) + 1 (Critical Throw) + 1.4 (Sharp Eyes)
= 3.9

Code:

*note: if you're calculating DPM, don't forget to factor in the critical CHANCE.

Using the same example as above:

Critical Throw: Crit Rate 50%
Sharp Eyes: Crit Rate 15%

Calculate damage if you crit, multiplied by the crit rate
= [ 1.5 (triple throw) + 1 (critical throw) + 1.4 (sharp eyes) ] * [ 0.5 + 0.15 ] (crit chance)

Calculate the damage without criting, multiplied by (1 - crit rate)
= 1.5 (triple throw) * [ 1 - [ 0.5 + 0.15] ] (chance of not criting)

Add the two together.

Step 8: After-Modifiers
These were verified by our devs to be v62 specific (not just MapleLegends specific). Ayumilove's numbers are slightly different as it's from a later version it seems.

Code:

Ordinal number of hit' refers to, e.g., 1 for the first hit, 2 for the second, etc.

Slash Blast's Final Attack = 2 * (1/3)^ordinal number of hit
Cumulative damage = Cumulative damage = 3 * (1 - (1/3) ^ (total number of hits))

Iron Arrow = 0.9^(ordinal number of hits - 1)
Cumulative damage = 10 * (1 - 0.9 ^ (total number of hits))

Piercing Arrow [note: this is actually increasing on subsequent hits] = 1.2^(ordinal number of hits - 1) Cumulative damage = 5 * (-1 + 1.2 ^ (total number of hits))

Chain Lightning = 0.5^(ordinal number of hits - 1)

Energy Orb = 0.5^(ordinal number of hits - 1)

Attack Speed References

Spoiler: Attack Speed References

This is something that I need to confirm, but there are a few terms that are thrown around (by Ayumilove as well as by MapleLegends staff) that need to be explained first.

• "Spamming" = casting the skill twice by pressing the skill button or using a macro (not the same as continuously pressing down the skill button)
  • (Eg) Hurricane (spamming) speed is longer than Hurricane (per arrow) because you need to go through the setup animation again, while if you are continuously pressing down only the arrow shooting animation needs to be done
  • (Eg) Boomerang Step (spamming) is longer than just Boomerang Step, because some skills have a penalty for casting the same skill back to back
    • This is why some skills are highly encouraged to be used in a macro, like Boomerang Step + Band of Thieves, as it won't incur the "delay between using the same skill" penalty
• "Post-casting delay" = some skills finish their animation, but you are forced to stand in an idle animation (usually for buccanner skills that have invincibility frames)

Bow

Code:

Strafe/Arrow Rain/Inferno/Arrow Bomb/Normal Attack
Faster (2): 600ms (-210ms)
Faster (3): 660ms (-150ms)
Fast (4): 720ms (-90ms)
Fast (5): 750ms (-60ms)
Normal (6): 810ms

Final Attack
Faster (2): 450ms + 540ms (-120ms, -180ms)
Faster (3): 480ms + 570ms (-90ms, -150ms)
Fast (4): 510ms + 630ms (-60ms, -90ms)
Fast (5): 540ms + 660ms (-30ms, -60ms)
Normal (6): 570ms + 720ms

Hurricane (per arrow)
All: 120ms

Hurricane (spamming)
All: 330ms

Claw

Code:

Lucky Seven/Triple Throw/Drain/Shadow Meso/Normal Attack
Faster (2): 600ms (-210ms)
Faster (3): 660ms (-150ms)
Fast (4): 720ms (-90ms)
Fast (5): 750ms (-60ms)
Normal (6): 810ms

Avenger
Faster (2): 630ms (-210ms)
Faster (3): 690ms (-150ms)
Fast (4): 750ms (-90ms)
Fast (5): 810ms (-30ms)
Normal (6): 840ms

Taunt
Faster (2): 1020ms (-330ms)
Faster (3): 1110ms (-240ms)
Fast (4): 1200ms (-150ms)
Fast (5): 1290ms (-60ms)
Normal (6): 1350ms

Ninja Storm delay
Faster (2): 720ms (-210ms)
Faster (3): 780ms (-150ms)
Fast (4): 840ms (-90ms)
Fast (5): 900ms (-30ms)
Normal (6): 930ms

Ninja Storm (spamming)
All: 1440ms

Crossbow

Code:

Strafe/Arrow Eruption/Blizzard/Iron Arrow/Normal Attack/Pierce
Faster (2): 630ms (-240ms)
Faster (3): 690ms (-180ms)
Fast (4): 720ms (-150ms)
Fast (5): 780ms (-90ms)
Normal (6): 870ms

Final Attack
Faster (2): 540ms + 630ms (-180ms, -210ms)
Faster (3): 600ms + 690ms (-120ms, -150ms)
Fast (4): 630ms + 720ms (-90ms, -120ms)
Fast (5): 690ms + 780ms (-30ms, -60ms)
Normal (6): 720ms + 840ms

Snipe:
Faster (2): 630ms (-210ms)
Faster (3): 690ms (-150ms)
Fast (4): 720ms (-120ms)
Fast (5): 780ms (-60ms)
Normal (6): 840ms

Dagger

Code:

*note: Double Stab automatically does +2 weapon speed to daggers.
(Eg) Shinkita is a Faster (3) instead of Fast (5) when using Double Stab
(Eg) Korean Fan is a Faster (2) instead of a Fast (4)
Dagger booster should still work on top of the +2 from Double Stab, becoming a +4 without Speed Infusion (need to confirm)

Band of Thieves/Steal/Double Stab/Normal Attack
Faster (2): 600ms (-210ms)
Faster (3): 660ms (-150ms)
Fast (4): 720ms (-90ms)
Fast (5): 750ms (-60ms)
Normal (6): 810ms

Savage Blow
Faster (2): 720ms (-240ms)
Faster (3): 780ms (-180ms)
Fast (4): 840ms (-120ms)
Fast (5): 900ms (-60ms)
Normal (6): 960ms

Assaulter
Faster (2): 690ms (-210ms)
Faster (3): 750ms (-150ms)
Fast (4): 810ms (-90ms)
Fast (5): 870ms (-30ms)
Normal (6): 900ms
*note: delay between uses reduced from 600ms to 300ms
(above numbers reflect that change)

Taunt
Faster (2): 1020ms (-330ms)
Faster (3): 1110ms (-240ms)
Fast (4): 1200ms (-150ms)
Fast (5): 1290ms (-60ms)
Normal (6): 1350ms

Meso Explosion
Faster (2): 750ms (-270ms)
Faster (3): 840ms (-180ms)
Fast (4): 900ms (-120ms)
Fast (5): 960ms (-60ms)
Normal (6): 1020ms

Assassinate
Faster (2): 1380ms (-450ms)
Faster (3): 1500ms (-330ms)
Fast (4): 1620ms (-210ms)
Fast (5): 1710ms (-120ms)
Normal (6): 1830ms
IF casting Dark Sight (before cast): +100ms

IF using Final Hit (last line):
Faster (2): 330ms
Faster (3): 360ms
Fast (4): 390ms
Fast (5): 420ms
Normal (6): 420ms

Boomerang Step
Faster (2): 690ms (-210ms)
Faster (3): 750ms (-150ms)
Fast (4): 810ms (-90ms)
Fast (5): 870ms (-30ms)
Normal (6): 900ms

Boomerang Step (spamming)
All: 1950ms (?)
*note: delay between uses reduced (no numbers however, so above number is probably inaccurate)

Gun

Code:

Normal Attack
Faster (2): 630ms (-180ms)
Faster (3): 690ms (-120ms)
Fast (4): 750ms (-60ms)
Fast (5): 780ms (-30ms)
Normal (6): 810ms

Double Shot
Faster (2): 360ms (-120ms)
Faster (3): 390ms (-90ms)
Fast (4): 420ms (-60ms)
Fast (5): 450ms (-30ms)
Normal (6): 480ms

Blank Shot/Burst Fire
Faster (2): 660ms (-180ms)
Faster (3): 690ms (-150ms)
Fast (4): 750ms (-90ms)
Fast (5): 810ms (-30ms)
Normal (6): 840ms

Invisible Shot/Hypnotize
Faster (2): 630ms (-180ms)
Faster (3): 660ms (-150ms)
Fast (4): 720ms (-90ms)
Fast (5): 750ms (-60ms)
Normal (6): 810ms

Flamethrower/Ice Splitter
Faster (2): 480ms (-150ms)
Faster (3): 540ms (-90ms)
Fast (4): 570ms (-60ms)
Fast (5): 600ms (-30ms)
Normal (6): 630ms

Flamethrower/Ice Splitter (spamming)
All: 1050ms

Aerial Strike
Faster (2): 2160ms (-720ms)
Faster (3): 2340ms (-540ms)
Fast (4): 2520ms (-360ms)
Fast (5): 2700ms (-180ms)
Normal (6): 2880ms

Homing Beacon/Battleship Torpedo
Faster (2): 720ms (-240ms)
Faster (3): 780ms (-180ms)
Fast (4): 840ms (-120ms)
Fast (5): 900ms (-60ms)
Normal (6): 960ms

Battleship Cannon
Faster (2): 600ms (-180ms)
Faster (3): 630ms (-150ms)
Fast (4): 690ms (-90ms)
Fast (5): 750ms (-30ms)
Normal (6): 780ms

Rapid Fire (per bullet)
All: 120ms

Rapid Fire (spamming)
All: 330ms

Recoil Shot
All: 300ms

Recoil Shot (spamming)
All: 1300ms
*note: delay between uses reduced from 2 seconds to 1 second
(above numbers reflect that change)

Knuckle

Code:

Normal Attack
Faster (2): 600ms (-210ms)
Faster (3): 660ms (-150ms)
Fast (4): 720ms (-90ms)
Fast (5): 750ms (-60ms)
Normal (6): 810ms

Flash Fist/Energy Drain
Faster (2): 450ms (-150ms)
Faster (3): 510ms (-90ms)
Fast (4): 540ms (-60ms)
Fast (5): 570ms (-30ms)
Normal (6): 600ms

Corkscrew Blow
Faster (2): 630ms (-210ms)
Faster (3): 690ms (-150ms)
Fast (4): 750ms (-90ms)
Fast (5): 810ms (-30ms)
Normal (6): 840ms

Corkscrew Blow (spamming; enemies)
All: 1530ms

Sommersault Kick/Corkscrew Blow (spamming; no enemies)
Faster (2): 630ms (-210ms)
Faster (3): 690ms (-150ms)
Fast (4): 750ms (-90ms)
Fast (5): 810ms (-30ms)
Normal (6): 840ms

Backspin Blow
Faster (2): 720ms (-240ms)
Faster (3): 780ms (-180ms)
Fast (4): 840ms (-120ms)
Fast (5): 900ms (-60ms)
Normal (6): 960ms

Backspin Blow (spamming)
All: 1980ms

Double Uppercut (with enemies)
Faster (2): 900ms (-270ms)
Faster (3): 960ms (-210ms)
Fast (4): 1050ms (-120ms)
Fast (5): 1110ms (-60ms)
Normal (6): 1170ms

Double Uppercut (spamming; enemies)
All: 2160ms

Double Uppercut (spamming; no enemies)
Faster (2): 1140ms (-30ms)
Faster (3): 1140ms (-30ms)
Fast (4): 1140ms (-30ms)
Fast (5): 1140ms (-30ms)
Normal (6): 1170ms

Shockwave
Faster (2): 1500ms (-480ms)
Faster (3): 1620ms (-360ms)
Fast (4): 1740ms (-240ms)
Fast (5): 1860ms (-120ms)
Normal (6): 1980ms

Dragon Strike
Faster (2): 1080ms (-360ms)
Faster (3): 1170ms (-270ms)
Fast (4): 1260ms (-180ms)
Fast (5): 1350ms (-90ms)
Normal (6): 1440ms

Dragon Strike (spamming)
All: 1640ms
*note: post-casting delay has been decreased from 400ms to 200ms
(above numbers reflect that change)

Barrage
Faster (2): 1830ms (-600ms)
Faster (3): 1980ms (-450ms)
Fast (4): 2130ms (-300ms)
Fast (5): 2280ms (-150ms)
Normal (6): 2430ms

Barrage (spamming)
All: 2630ms
*note: post-casting delay has been decreased from 400ms to 200ms
(above numbers reflect that change)

Energy Blast
Faster (2): 570ms (-180ms)
Faster (3): 630ms (-120ms)
Fast (4): 660ms (-90ms)
Fast (5): 720ms (-30ms)
Normal (6): 750ms

Energy Blast (spamming)
All: 1140ms

Energy Orb
Faster (2): 930ms (-270ms)
Faster (3): 990ms (-210ms)
Fast (4): 1050ms (-150ms)
Fast (5): 1140ms (-60ms)
Normal (6): 1200ms

Snatch
Faster (2): 810ms (-270ms)
Faster (3): 900ms (-180ms)
Fast (4): 960ms (-120ms)
Fast (5): 1020ms (-60ms)
Normal (6): 1080ms (0ms)
*note: delay between casting has been completely removed

Demolition
Faster (2): 2010ms (-660ms)
Faster (3): 2190ms (-480ms)
Fast (4): 2340ms (-330ms)
Fast (5): 2520ms (-150ms)
Normal (6): 2670ms
*note: animation speed increase by 500ms
(above numbers reflect that change)

Transform: not confirmed

Polearm/Spear

Code:

Power Strike/Slash Blast/Sacrifice/Normal Attack
Faster (2): 570ms (-180ms)
Faster (3): 630ms (-120ms)
Fast (4): 660ms (-90ms)
Fast (5): 720ms (-30ms)
Normal (6): 750ms
Slow (7): 810ms (+60ms)
Slow (8): 870ms (+120ms)
Slower (9): 900ms (+150ms)

Final Attack (stab -> any Final Attack animation)
Faster (2): 540ms + 390ms (-180ms, -150ms)
Faster (3): 570ms + 420ms (-150ms, -120ms)
Fast (4): 630ms + 480ms (-90ms, -60ms)
Fast (5): 660ms + 510ms (-60ms, -30ms)
Normal (6): 720ms + 540ms
Slow (7): 750ms + 570ms (+30ms, +30ms)
Slow (8): 810ms + 600ms (+90ms, +60ms)
Slower (9): 840ms + 630ms (+120ms, +90ms)

Final Attack (any other combo)
Faster (2): 540ms + 450ms (-180ms, -120ms)
Faster (3): 570ms + 480ms (-150ms, -90ms)
Fast (4): 630ms + 510ms (-90ms, -60ms)
Fast (5): 660ms + 540ms (-60ms, -30ms)
Normal (6): 720ms + 570ms
Slow (7): 750ms + 600ms (+30ms, +30ms)
Slow (8): 810ms + 660ms (+90ms, +90ms)
Slower (9): 840ms + 690ms (+120ms, +120ms)

Crusher (Lvl 16 - 30)
Faster (2): 810ms (-240ms)
Faster (3): 870ms (-180ms)
Fast (4): 930ms (-120ms)
Fast (5): 990ms (-60ms)
Normal (6): 1050ms
Slow (7): 1140ms (+90ms)
Slow (8): 1200ms (+150ms)
Slower (9): 1260ms (+210ms)

Crusher (Level 1 - 15)
Faster (2): 690ms (-210ms)
Faster (3): 750ms (-150ms)
Fast (4): 810ms (-90ms)
Fast (5): 870ms (-30ms)
Normal (6): 900ms
Slow (7): 960ms (+60ms)
Slow (8): 1020ms (+120ms)
Slower (9): 1080ms (+180ms)

Fury
Faster (2): 600ms (-210ms)
Faster (3): 660ms (-150ms)
Fast (4): 720ms (-90ms)
Fast (5): 750ms (-60ms)
Normal (6): 810ms
Slow (7): 870ms (+60ms)
Slow (8): 900ms (+90ms)
Slower (9): 960ms (+150ms)

Dragon Roar
Faster (2): 1140ms (-360ms)
Faster (3): 1230ms (-270ms)
Fast (4): 1320ms (-180ms)
Fast (5): 1410ms (-90ms)
Normal (6): 1500ms
Slow (7): 1620ms (+120ms)
Slow (8): 1710ms (+210ms)
Slower (9): 1800ms (+300ms)

Rush (enemies)
All: 1770ms

Rush (no enemies)
Faster (2): 450ms (-150ms)
Faster (3): 510ms (-90ms)
Fast (4): 540ms (-60ms)
Fast (5): 570ms (-30ms)
Normal (6): 600ms
Slow (7): 660ms (+60ms)
Slow (8): 690ms (+90ms)
Slower (9): 720ms (+120ms)

Sword/Mace/Axe

Code:

Power Strike/Slash Blast/Charged Blow/Normal Attack
Faster (2): 600ms (-210ms)
Faster (3): 660ms (-150ms)
Fast (4): 720ms (-90ms)
Fast (5): 750ms (-60ms)
Normal (6): 810ms
Slow (7): 870ms (+60ms)
Slow (8): 900ms (+90ms)

Final Attack (stab -> stab)
Faster (2): 540ms + 390ms (-180ms, -120ms)
Faster (3): 570ms + 420ms (-150ms, -90ms)
Fast (4): 630ms + 450ms (-90ms, -60ms)
Fast (5): 660ms + 480ms (-60ms, -30ms)
Normal (6): 720ms + 510ms
Slow (7): 750ms + 540ms (+30ms, +30ms)
Slow (8): 810ms + 570ms (+90ms, +60ms)

Final Attack (any other combo)
Faster (2): 540ms + 450ms (-180ms, -120ms)
Faster (3): 570ms + 480ms (-150ms, -90ms)
Fast (4): 630ms + 510ms (-90ms, -60ms)
Fast (5): 660ms + 540ms (-60ms, -30ms)
Normal (6): 720ms + 570ms
Slow (7): 750ms + 600ms (+30ms, +30ms)
Slow (8): 810ms + 660ms (+90ms, +90ms)

Coma/Panic
Faster (2): 600ms (-210ms)
Faster (3): 660ms (-150ms)
Fast (4): 720ms (-90ms)
Fast (5): 750ms (-60ms)
Normal (6): 810ms
Slow (7): 870ms (+60ms)
Slow (8): 900ms (+90ms)

Brandish/Blast
Faster (2): 630ms (-210ms)
Faster (3): 690ms (-150ms)
Fast (4): 750ms (-90ms)
Fast (5): 810ms (-30ms)
Normal (6): 840ms
Slow (7): 900ms (+60ms)
Slow (8): 960ms (+120ms)

Heaven's Hammer
Faster (2): 1290ms (-420ms)
Faster (3): 1410ms (-300ms)
Fast (4): 1500ms (-210ms)
Fast (5): 1620ms (-90ms)
Normal (6): 1710ms

Rush (enemies)
All: 1770ms

Rush (no enemies)
Faster (2): 450ms (-150ms)
Faster (3): 510ms (-90ms)
Fast (4): 540ms (-60ms)
Fast (5): 570ms (-30ms)
Normal (6): 600ms
Slow (7): 660ms (+60ms)
Slow (8): 690ms (+90ms)

Wand/Staff

Code:

All mage skills, except explosion, work off casting speed. Explosion uses weapon speed + cast speed.

Magic Claw/Energy Bolt/Holy Arrow/Big Bang/Angel Ray/Fire Arrow/Poison Breath/Fire Demon/Ice Demon/Paralyze/Thunder Bolt/Cold Beam
Booster2: 720ms (-90ms)
Booster1: 750ms (-60ms)
Regular: 810ms

Heal
Regular: 600ms

Chain Lightning
Booster2: 690ms (-90ms)
Booster1: 750ms (-30ms)
Regular: 780ms

Shining Ray/Ice Strike
Booster2: 930ms (-120ms)
Booster1: 990ms (-60ms)
Regular: 1050ms

Poison Mist
Booster2: 1320ms (-180ms)
Booster1: 1410ms (-90ms)
Regular: 1500ms

Elemental Composition [FP/IL]
Booster2: 810ms (-90ms)
Booster1: 870ms (-30ms)
Regular: 900ms

Thunder Spear
Booster2: 1140ms (-180ms)
Booster1: 1230ms (-90ms)
Regular: 1320ms

Explosion
Booster2:
Fast (4): 1500ms (-120ms)
Fast (5): 1560ms (-60ms)
Normal (6): 1620ms
Slow (7): 1680ms (+60ms)
Slow (8): 1710ms (+90ms)
Booster1:
Fast (4): 1620ms (-120ms)
Fast (5): 1680ms (-60ms)
Normal (6): 1740ms
Slow (7): 1770ms (+30ms)
Slow (8): 1830ms (+90ms)
Regular:
Fast (4): 1710ms (-90ms)
Fast (5): 1770ms (-30ms)
Normal (6): 1800ms
Slow (7): 1860ms (+60ms)
Slow (8): 1920ms (+120ms)

Genesis
Regular: 2700ms

Meteor Shower/Blizzard
Booster2: 3060ms (-420ms)
Booster1: 3270ms (-210ms)
Regular: 3480ms

Misc.

Code:

Octopus and Gaviota attack every 1530ms. All other summons attack every 3030ms.

All attacking charge skills have a maximum charge time of 1000ms.

Damage (TO Players) Formula

Spoiler: Damage Received Calculations

Order of Operations

Avoidability

Code:

Calculating Avoidability - credit to Shot/iPippy/Selquin:
1) IF your level >= monster, take "Total Avoidability" from stat window (or see below to calculate "Base Avoidability" and add any buffs - eg. Bless, Heartstoppers)
2) ELSE, Total Avoidability = (monster level - character level) / 2

Base Avoidability:
Warriors/Magicians/Bowmen/Thieves/Beginners = DEX * 0.25 + LUK * 0.5
Pirates (first job) = DEX * 0.25 + LUK * 0.5
Gunslingers = DEX * 0.125 + LUK * 0.5
Brawlers = DEX * 0.25 + STR * 0.225

Physical Attacks:
Physical Dodge Rate = Total Avoidability / (4.5 * Monster Accuracy)
1) IF your class = thief, chance to hit must be within 5 - 95% (eg. if chance to hit = 97%, round down to 95%)
2) ELSE, chance to hit must be within 2 - 80%

Physical Hit Rate = 1 - [Total Avoidability / (4.5 * Monster Accuracy)]

Magic Attacks:
Magic Dodge Rate = 10/9 - Monster Accuracy / (0.9 * Avoid)

Magic Hit Rate = 1 - [10/9 - Monster Accuracy / (0.9 * Avoid)]
= [Monster Accuracy / (0.9 * Avoid)] - 1/9

Damage Reduced by Player Weapon Defense

Code:

Credits to Zerato:
Damage dealt = Physical Attack Damage^2 * rand(0.008, 0.0085) - WDEF*A - (WDEF - StandardPDD)*B

Where:
D (if CharacterLevel >= Mob Level) = 13/(13 + CharacterLevel - MobLevel)
D (if Character Level < Mob Level) = 1.3

C (for warriors) = STR/2800 + DEX/3200 + INT/7200 + LUK/3200
C (for everyone else) = STR/2000 + DEX/2800 + INT/7200 + LUK/3200

B (if your WDEF >= StandardPDD) = (C*28/45 + (CharacterLevel)*7/13000 + 0.196)
B (if your WDEF < StandardPDD) = D * (C + (CharacterLevel)/550 + 0.28)

A = C + 0.28

Spoiler: StandardPDD

Code:

BEGINNER
- Level 1: PDD = 7
- Level 5: PDD = 17
- Level 8: PDD = 19

WARRIOR
- Level 10: PDD = 54
- Level 12: PDD = 57
- Level 15: PDD = 83
- Level 20: PDD = 106
- Level 22: PDD = 109
- Level 25: PDD = 129
- Level 30: PDD = 154
- Level 35: PDD = 179
- Level 40: PDD = 203
- Level 47: PDD = 208
- Level 50: PDD = 261
- Level 55: PDD = 267
- Level 60: PDD = 305
- Level 65: PDD = 308
- Level 70: PDD = 359
- Level 75: PDD = 356
- Level 80: PDD = 382
- Level 85: PDD = 388
- Level 90: PDD = 440
- Level 95: PDD = 446
- Level 100: PDD = 494

MAGICIAN
- Level 8: PDD = 25
- Level 10: PDD = 31
- Level 13: PDD = 40
- Level 15: PDD = 49
- Level 18: PDD = 54
- Level 20: PDD = 56
- Level 25: PDD = 60
- Level 28: PDD = 64
- Level 30: PDD = 75
- Level 33: PDD = 91
- Level 35: PDD = 98
- Level 40: PDD = 99
- Level 48: PDD = 107
- Level 50: PDD = 131
- Level 55: PDD = 134
- Level 58: PDD = 142
- Level 60: PDD = 159
- Level 65: PDD = 162
- Level 68: PDD = 170
- Level 70: PDD = 184
- Level 75: PDD = 190
- Level 78: PDD = 198
- Level 80: PDD = 212
- Level 85: PDD = 218
- Level 88: PDD = 226
- Level 90: PDD = 240
- Level 95: PDD = 246
- Level 98: PDD = 254
- Level 100: PDD = 266

ARCHER
- Level 10: PDD = 32
- Level 15: PDD = 49
- Level 20: PDD = 65
- Level 25: PDD = 80
- Level 30: PDD = 95
- Level 35: PDD = 110
- Level 40: PDD = 125
- Level 50: PDD = 145
- Level 55: PDD = 148
- Level 60: PDD = 177
- Level 65: PDD = 180
- Level 70: PDD = 206
- Level 75: PDD = 212
- Level 80: PDD = 238
- Level 85: PDD = 244
- Level 90: PDD = 270
- Level 95: PDD = 276
- Level 100: PDD = 298

THIEF
- Level 10: PDD = 42
- Level 15: PDD = 60
- Level 20: PDD = 76
- Level 22: PDD = 85
- Level 25: PDD = 100
- Level 30: PDD = 115
- Level 32: PDD = 116
- Level 35: PDD = 131
- Level 37: PDD = 132
- Level 40: PDD = 147
- Level 50: PDD = 184
- Level 55: PDD = 187
- Level 60: PDD = 220
- Level 65: PDD = 223
- Level 70: PDD = 257
- Level 75: PDD = 263
- Level 80: PDD = 291
- Level 85: PDD = 297
- Level 90: PDD = 325
- Level 95: PDD = 331
- Level 100: PDD = 331

PIRATE
- Level 10: PDD = 24
- Level 15: PDD = 43
- Level 20: PDD = 56
- Level 25: PDD = 69
- Level 30: PDD = 82
- Level 35: PDD = 95
- Level 40: PDD = 108
- Level 50: PDD = 146
- Level 55: PDD = 149
- Level 60: PDD = 178
- Level 65: PDD = 181
- Level 70: PDD = 207
- Level 75: PDD = 213
- Level 80: PDD = 239
- Level 85: PDD = 245
- Level 90: PDD = 271
- Level 100: PDD = 309

Damage Reduced by Player Magic Defense

Code:

1 INT = 1 Magic Defense

Credits to Zerato:
Damage dealt = Magic Attack Damage^2 * rand(0.0075, 0.008) - (MDEF/4 + STR/28 + DEX/24 + LUK/20) * K
(K = 1.2 for magiciains, = 1 for other classes)

EXP Formula

Spoiler: EXP Formula

Credits to Ever & Alyosha for summarizing this really well.

Leech conditions: As long as ONE of the conditions are met, you will receive EXP.
1. Deal at least 1 damage to the monster.
2. Be within 5 levels of the monster.
3. Be within 5 levels of a party member that fulfills condition #1.

Code:

Party Bonus:
Party of 2 = 10% bonus
Party of 3 = 15%
Party of 4 = 20%
Party of 5 = 25%
Party of 6 = 30%

Skill Bonus:
Level 30 Holy Symbol (with 1 in party that satisfy leech conditions) = 110% (1.1)
Level 30 Holy Symbol (with 2+ in party that satisfy leech conditions) = 150% (1.5)
Level 30 Taunt = 140% (1.4)

[code]EXP for person killing the monsters:
- Work in progress -

EXP for person other damage dealers (if leeching, damage dealt = 0):
- Work in progress -