A bonus only counts if it applies to the kind of hit you are dealing.
+40% ranged damage does nothing for a Fireball, and +% spell damage
from Intelligence does nothing for a skeleton. Every hit in the game is one of
the kinds in the table below. Most skills deal more than one:
a Fireball is a spell bolt, then an explosion, then a burn — and every part of a
skill takes the melee, ranged or spell % of the skill that owns it.
Which bonuses apply
| +% elementfire, cold, physical… | +% melee / ranged / spellStr · Dex · Int | Critical hitDex | +% vs undead, demons… | +N damagesockets, components | On hit: N damageaffixes | +% explosion | +% minion |
| Melee weapon hitbasic attack, Blade Spin, Solar Strike… | ✓ | melee | ✓ | ✓ | ✓ | ✓ | — | — |
| Ranged weapon hitbows, guns, thrown weapons | ✓ | ranged | ✓ | ✓ | ✓ | ✓ | — | — |
| A weapon skill's own damageBurning Rounds' fire, Corrosive Rounds' acid | ✓ | melee / ranged | — | — | — | — | — | — |
| SpellFireball's bolt, Magic Missile, Ice Spike… | ✓ | spell | — | — | — | on spell hit | — | — |
| ExplosionFireball's blast, Explosive Rounds, grenades | ✓ | the skill's | — | — | — | — | ✓ | — |
| Ground & auraclouds, burning pitch, Solar Blessing | ✓ | the skill'sclouds; not auras | — | — | — | — | — | — |
| Burn & poisondamage over time | fire / poison | — | — | — | — | — | — | — |
| Minionskeletons, elementals, familiars | its own | — | its own | — | — | — | — | ✓ |
| Trapalchemyst devices | ✓ yours | — | — | — | — | — | ✓ | ✓ |
| BleedingBleeding Curse, Rend, Critical Strike | — | — | — | — | — | — | — | — |
|---|
- Penetration applies to every kind of hit except bleeding. Conversion applies to direct
damage only: a burn always deals fire, a poison always deals poison.
- Minions hit with their own stats. They grow with the skill's points and its
Bond (see below). The only bonus of yours they get is +% minion damage.
Your attributes, element bonuses and crit do not reach them.
- Traps are the exception: a trap uses your element %, explosion %,
penetration and conversions, read live on every hit. It still does not
get your attributes or crit.
- Bleeding drains a share of the victim's maximum life. It ignores armor and resistance, nothing scales it
except the skill itself, and it works against bosses at a tenth of its strength
and against champions at three tenths.
Added damage: imbued or on hit
Gear adds damage to your hits in two ways. Imbued damage is part of the
weapon itself: it crits and takes every bonus the weapon takes. On hit damage is
something that happens once the hit lands, closer to a small spell: your element
bonus and your melee / ranged % grow it, never a critical hit. Both follow your conversions.
| Comes from | Lands on | Converted | +% element | +% melee / ranged | Critical hit | +% vs undead, demons… |
| +N fire damageimbued · any type | sockets, components, some uniques | melee & ranged weapon hits | ✓ | ✓ | ✓ | ✓ | ✓ |
| +N projectile damageimbued · physical | ranged weapon affixes, components, some uniques | ranged weapon hits | ✓ | ✓ | ✓ | ✓ | ✓ |
| On hit: N fire damageon hit | magic & rare affixes, uniques | melee & ranged weapon hits | ✓ | ✓ | ✓ | — | — |
| On melee / ranged hiton hit | uniques, some affixes | that kind of hit only | ✓ | ✓ | ✓ | — | — |
| On spell hiton hit | caster gear | spell bolts | ✓ | ✓ | — | — | — |
|---|
- Both kinds are added once per hit, and only to the hits listed. Explosions,
ground effects, burns and minions never carry them.
- When one attack fires several projectiles, each one carries its share of the
added damage, like the rest of the hit (step 6, the global multiplier, below).
- On-hit lines can also carry a burn or poison (see Ticks below), a stun or a blind,
or a chance to cast a spell. That spell is cast at its full strength.
Order of operations
One weapon hit, start to finish. Other kinds of hit follow the same steps and skip
the lines the table marks with a dash.
- Base
The weapon's damage (for a weapon hit) or the skill's damage (for a spell).
Skill points have already scaled the skill's numbers, and its masteries have
already multiplied them. Some melee skills strike with a share of the weapon:
each hop of Flying Cuts deals ×0.55, Spear Charge ×1.5 and more with points.
That share also applies to imbued damage, not to on-hit lines.
- Convert
Conversions move a share of each damage type to another, once. Converted damage
is not converted a second time: physical turned to fire stays fire, even with a fire-to-cold line.
Lines above 100% in total share the damage pro rata.
- × element
+% fire damage and the like, for the type the damage ended up as.
Physical converted to fire takes your fire bonus, not your physical one.
- × kind of hit
Melee, ranged or spell %, on every part of the skill: the weapon line, its own
riders, its explosions and clouds. For weapon hits also the critical hit and
+% damage vs undead (or demons, animals…). Explosions take +% explosion damage on top.
- + added damage
Weapon hits add the +N damage of sockets and components (converted, then
multiplied by steps 3 and 4), then the On hit lines of affixes
(converted, multiplied by your element bonus and your melee / ranged %, no crit).
- × global
Multipliers on the whole hit, added damage and burns included.
Some skills carry one in their core: Soul Steal Arrow's arrow deals ×0.7, the
price of the mana it returns. Several projectiles at once (Multishot, a shotgun's
pellets) each deal 1 / √n of the hit: 4 pellets deal half each, 9 deal a third.
Minions and traps take +% minion damage here, and player-versus-player hits are cut to a fifth.
- − defence
Armor (physical only), then a block if the target blocks, then resistance minus your
penetration. Resistance is capped by the target's maximum and cannot fall below −100%
(double damage). An immune target takes nothing from that type, whatever your penetration.
Each step multiplies the previous one. So two bonuses in different steps are
worth more than the same total in one step: +50% fire and +50% ranged
give ×2.25, while +100% fire gives ×2.
What each bonus does
Strength
+2 life.
+0.5% melee damage: every part of a melee skill's hit —
weapon, added damage, its own riders and blasts.
Dexterity
+1 life.
+0.5% ranged damage: every part of a ranged skill's hit,
the explosions of its arrows and rounds included.
+1% critical hit chance and +1% critical hit damage: weapon hits only.
Intelligence
+2 mana, +1 life.
+0.5% spell damage: every part of a spell —
bolt, explosion and ground effect. Not auras, burns, minions or traps.
Critical hits
Base chance 10%, raised relatively: +100% crit chance makes it 20%.
A crit deals +50%, plus the weapon's own crit damage, all multiplied by
your +% crit damage. Monsters never crit.
Burn & poison
Your fire or poison bonus is read on every tick, so a buff
cast after the hit still counts.
+% burn duration makes a burn
last longer and deal more in total. Faster poison deals the
same total sooner.
Armor & variance
Armor reduces physical damage only. Fire, cold, lightning, acid, magic
and poison are reduced by their resistance, never by armor.
Each hit varies by ±25%; magic
±50%, lightning ±75%.
Evasion, block & hit recovery
Three things can stop a hit or hold you in place. While you are held you can neither
move nor attack.
| Chance | Max | What it does | Holds you for |
| Evasion | your evasion, minus the attacker's accuracy | 80% | the whole hit is avoided | 0.2 s ÷ (1 + faster evasion) |
| Blockneeds a shield | the shield's block chance × (1 + increased block chance) | 80% | damage cut by the shield's block reduction | 0.2 s ÷ (1 + faster block) |
| Hit recovery | any hit that takes more than 10% of your maximum life | — | you flinch | 0.4 s ÷ (1 + faster hit recovery), stacking up to twice that |
|---|
- Evasion is rolled first, then block. You cannot evade again until the evasion's hold
ends, nor block again until the block's hold ends.
- A block reduces the whole hit by the shield's block value, whatever the damage type.
- Every kind of hit can be evaded or blocked, spells and explosions included, except
the ticks of a burn or a poison.
- Against a ground effect each tick is a tenth of a second, so the hold is a tenth too:
0.02 s instead of 0.2 s.
Ticks
Damage that lasts is dealt in small slices called ticks. Each tick is a hit of
its own: the target's resistance and your penetration apply to every one.
| every | each tick deals |
| Burn & poison | 0.6 s | its total × 0.6 s ÷ its duration |
| Ground & aurasclouds, pitch, Solar Blessing | 0.1 s | a tenth of its damage per second |
| Bleeding | constantly | a share of the victim's maximum life |
- Burns and poisons always deal their full total: the last, shorter tick pays
what is left. They cannot be blocked or evaded, and armor does not reduce them.
- Your fire or poison bonus is read at each tick, not when the hit landed.
- Burns and poisons from separate hits stack, each on its own timer. Standing in one
cloud or patch keeps a single stack from it, refreshed while you stay. Burning pitch
stacks at most 3 times on one body.
- Ground effects are the zones a skill leaves behind: Toxic Flask's poison cloud,
Corrosive Rounds' acid, Pitch Arrow's burning pitch, the fire and poison pools of
elite monsters. Auras such as Solar Blessing work the same way.
- Ground effects roll block and evasion on every tick: an evasion avoids that
tick, a block reduces it. The hold after each one is 0.02 s instead of 0.2 s (see
above), so you are slowed a little and can still walk out.
Skill points
Points multiply a skill's own damage on a curve that grows with each point,
and +skills gear adds points on top:
| points | 1 | 5 | 10 | 16 | 20 | 30 |
| damage | ×1.4 | ×3.3 | ×6 | ×10 | ×13 | ×22 |
|---|
Points never multiply your weapon. On a weapon skill they grow the
skill's own added damage, its speed, cooldown or area. The weapon hit itself grows
with your gear and the bonuses above. Weapon minions such as skeletons and familiars
follow the same curve through their +% physical damage.
Masteries
Masteries multiply the numbers inside the skills of their tree. They apply
before any of the steps above. Most trees pair two nodes: a Force for the
hit and a Bond for everything that lasts. Some classes give them other names.
| Multiplies | Reaches | Never touches |
| ForceFire Force, Solar Mastery, Gunpowder Mastery, Bow Mastery, Death Mastery, Trap Mastery… | +10% per point to the skill's damage | bolts, explosions, ground and aura damage, the bolts an elemental casts | your weapon's damage; burns and poisons; weapon minions |
| BondFire Bond, Sun Devotion, Gunslinger Bond, Archer Bond, Death Bond… | +5% per point to effects and stat lines | burn & poison damage, freeze, stun and their durations; how long ground
effects last; minions' life and damage; wards and auras' stats | direct hits |
| Weapon masteryBlade Mastery, Cut Mastery, Spear Mastery | +attack speed and +% physical (Cut Mastery: +% melee, which survives conversion) while using a skill of the tree | the tree's skills that carry their own stat line | the basic attack |
|---|
- The wizard's masteries and the alchemyst's Alchemy and Flask Masteries
are single nodes: they multiply damage and stat lines, but not burns, poisons or other effects
(Flask Mastery makes one exception for Toxic Flask's poison).
- A Bond grows a burn's damage and its duration together. Damage per second stays
the same, and the total grows.
- A skill with no damage of its own, like Rapid Fire or Cosmic Dance, gets nothing
from a Force. Its damage is your weapon's.
Worked examples
Fireball
16 points, Fire Force 10, Fire Bond 10, 46 Intelligence, +60% fire.
Bolt 120 × 2 Force × 1.46 Int × 1.6 fire = 558
Blast 60 × 2 Force × 1.6 fire = 191. No Int: it is an explosion.
Burn 100 × 1.5 Bond × 1.6 fire = 239 over 4.5 s. No Force, no Int.
Converted bow
Bow 100 physical, 50% physical to fire, 40 Dex, +20% physical, +50% fire,
a socket of +10 fire damage, On hit: 6 lightning.
Convert: 50 physical + 50 fire
× element: 60 + 75 · × 1.4 ranged: 84 + 105
+ socket 10 × 1.4 × 1.5 = 21 fire · + 6 lightning
= 216. On a crit (14% chance, ×1.5 × 1.4 = ×2.1): 447.
Skeleton warrior
Raise Skeleton 16, Death Bond 16, +50% minion damage, 45 Intelligence.
The axe's 10 physical takes the curve's +896% physical, × 1.8 Bond = +1613%:
171. × 1.5 minion = 257.
Death Mastery adds nothing to it, and neither does Intelligence.