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Generated

Vengeance odds

What a roll can give you, and how often. Read the column for the tier of the item you are rolling on plus one - a vengeance always aims one tier above the item it is worked on.

See Vengeance for what it costs and how the pick and the pity work.

The chance of each band

BandTier 2Tier 3Tier 4Tier 5Tier 6
Common73.5%64.6%54.0%43.2%32.4%
Uncommon25.7%31.5%34.4%36.3%36.0%
Rare1 in 1513.5%10.6%18.1%27.0%
Epic1 in 1,8131 in 3631 in 1162.1%4.0%
Mythic1 in 10,4611 in 2,8201 in 8731 in 3621 in 148

Nothing is barred: the rarest band can come up on the weakest item, and the commonest can come up on the strongest.

These are the chances of drawing a property of that band. The band a roll reports can be higher, because a number in the top quarter of its range is worth a band more and a rarer one two or three - so a Mythic result is reported more often than the Mythic row here. See Vengeance for that rule.

What a roll costs

Keyed on the tier of the item you already hold, not the one you are aiming at.

Tier of the itemEpic tokens for the first roll
150
2100
3200
4500
51,000

Each roll after the first adds one per cent of that base, in whole tokens - so a cheap item's price climbs every other roll rather than every roll.

What each band holds

62 properties in all.

Common

AC Bonus, Ability Bonus, Attack Bonus, Damage Bonus elemental, Darkvision, Enhancement Bonus, Keen, Mighty, Saving Throw Fort Ref Will, Saving Throw vs Element, Skill Bonus, Weight Reduction.

Uncommon

Arcane Spell Failure reduction, Bonus Spell Slot, Damage Bonus Divine Neg Pos, Damage Resistance elemental, Dismount Protection, Haste, Immunity Disease, Immunity Fear, Immunity Level Ability Drain, Immunity Poison, Massive Criticals, Regeneration, Spell Resistance, Turn Resistance, Vampiric Regeneration.

Rare

Bonus Feat Evasion, Damage Immunity elemental, Damage Reduction (soak), Damage Resistance physical, Dispel Protection, Eldritch Blast Attack Bonus, Eldritch Blast Damage Bonus, Extend Spell Duration, Immunity Death Magic, Immunity Knockdown, Immunity Paralysis, Immunity to Spell Level 1-3, Saving Throw Universal, Spell Enhancement, Spell Immunity specific spell, Spiked Surface.

Epic

Bigby Protection, Cooldown Reduction, Damage Resistance Magic Div Pos Neg, Dismount Immunity, Eldritch Blast DC Bonus, Freedom of Movement, Immunity Backstab, Immunity Mind Spells, Immunity to Spell Level 4-5, On Hit Attempt Spell, Spell DC Bonus.

Mythic

Bonus Feat Improved Evasion, Custom Holy Avenger, Damage Immunity Magic Div phys, Devastating Critical Immunity, Immunity to Spell Level 6-8, On Crit Cast Spell, True Seeing, XP Bonus.

Ranges by tier

The lowest and highest value a roll can give each property, by the tier of the result (the item's tier plus one). Low values are much more likely than high ones. A dash means the property cannot be rolled at that tier. Properties with no number, such as an immunity, are not listed.

Common ranges

PropertyTier 2Tier 3Tier 4Tier 5Tier 6
AC Bonus+2 to +6+3 to +6+4 to +7+5 to +8+6 to +9
Ability Bonus+2 to +6+3 to +6+4 to +8+5 to +10+6 to +12
Attack Bonus+2 to +6+3 to +6+4 to +7+5 to +8+6 to +9
Damage Bonus elemental1d6 to 2d10 Damage1d8 to 2d12 Damage1d10 to 15 Damage1d12 to 20 Damage2d8 to 11d6 Damage
Enhancement Bonus+2 to +6+3 to +6+4 to +7+5 to +8+6 to +9
Mighty+2 to +6+3 to +6+4 to +7+5 to +8+6 to +9
Saving Throw Fort Ref Will+1 to +5+2 to +5+3 to +6+4 to +7+5 to +8
Saving Throw vs Element+1 to +5+2 to +5+3 to +6+4 to +7+5 to +8
Skill Bonus+5 to +12+8 to +12+10 to +14+11 to +15+13 to +17

Uncommon ranges

PropertyTier 2Tier 3Tier 4Tier 5Tier 6
Arcane Spell Failure reduction-05% to -10%-05% to -15%-10% to -20%-10% to -30%-15% to -40%
Damage Bonus Divine Neg Pos1d6 to 2d10 Damage1d8 to 2d12 Damage1d10 to 15 Damage1d12 to 20 Damage2d8 to 11d6 Damage
Damage Resistance elementalResist 5 to 15 / -Resist 5 to 15 / -Resist 5 to 20 / -Resist 10 to 25 / -Resist 10 to 30 / -
Dismount Protection+1+1+1 to +2+2 to +3+2 to +4
Massive Criticals1d6 to 2d10 Damage1d8 to 2d12 Damage1d10 to 15 Damage1d12 to 20 Damage2d8 to 11d6 Damage
Regeneration+1 to +4+2 to +4+3 to +5+4 to +6+5 to +7
Spell Resistance14 to 3618 to 4022 to 4426 to 5030 to 56
Turn Resistance+1+1+1 to +2+2 to +3+2 to +4
Vampiric Regeneration+2 to +5+2 to +5+3 to +6+4 to +8+5 to +10

Rare ranges

PropertyTier 2Tier 3Tier 4Tier 5Tier 6
Damage Immunity elemental5% to 10%5% to 10%5% to 15%10% to 20%10% to 25%
Damage Reduction (soak)Soak 5 to 15 DamageSoak 5 to 15 DamageSoak 5 to 20 DamageSoak 10 to 25 DamageSoak 10 to 30 Damage
Damage Resistance physicalResist 5 to 15 / -Resist 5 to 15 / -Resist 5 to 20 / -Resist 10 to 25 / -Resist 10 to 30 / -
Dispel Protection+1+1+1 to +2+2 to +3+2 to +4
Eldritch Blast Attack Bonus+1+1+1 to +2+2 to +3+2 to +4
Eldritch Blast Damage Bonus1d6 to 2d10 Damage1d8 to 2d12 Damage1d10 to 15 Damage1d12 to 20 Damage2d8 to 11d6 Damage
Immunity to Spell Level 1-3Level 1 to 3 or LowerLevel 2 to 3 or LowerLevel 2 to 3 or LowerLevel 3 or LowerLevel 3 or Lower
Saving Throw Universal+1 to +5+2 to +5+3 to +6+4 to +7+5 to +8
Spiked Surface1d6 to 2d10 Damage1d8 to 2d12 Damage1d10 to 15 Damage1d12 to 20 Damage2d8 to 11d6 Damage

Epic ranges

PropertyTier 2Tier 3Tier 4Tier 5Tier 6
Bigby Protection+1+1+1 to +2+2 to +3+2 to +4
Cooldown Reduction-1-1-1 to -2-2 to -3-2 to -4
Damage Resistance Magic Div Pos NegResist 5 to 15 / -Resist 5 to 15 / -Resist 5 to 20 / -Resist 10 to 25 / -Resist 10 to 30 / -
Eldritch Blast DC Bonus+1+1+1 to +2+2 to +3+2 to +4
Immunity to Spell Level 4-5Level 4 or LowerLevel 4 or LowerLevel 4 to 5 or LowerLevel 4 to 5 or LowerLevel 5 or Lower
On Hit Attempt SpellLevel 3 to 6, proc chance 2% to 5%Level 5 to 9, proc chance 3% to 10%Level 7 to 13, proc chance 5% to 20%Level 11 to 17, proc chance 10% to 30%Level 15 to 21, proc chance 20% to 55%
Spell DC Bonus+1 to +2+1 to +2+1 to +2+2 to +3+2 to +4

Mythic ranges

PropertyTier 2Tier 3Tier 4Tier 5Tier 6
Damage Immunity Magic Div phys5% to 10%5% to 10%5% to 15%10% to 20%10% to 25%
Immunity to Spell Level 6-8--Level 6 or LowerLevel 6 to 7 or LowerLevel 7 to 8 or Lower
On Crit Cast SpellLevel 3 to 6Level 4 to 7Level 6 to 9Level 7 to 11Level 9 to 16
XP Bonus5%5%5% to 10%5% to 15%5% to 20%

Damage reduction that only a better weapon bypasses has a lower ceiling: vs +8 weapons at most Soak 20 Damage (tier 4 and 5); vs +9 weapons at most Soak 10 Damage (tier 5 and 6); vs +10 weapons at most Soak 5 Damage (tier 6).