Purity

Purity
Reduce your skill cooldowns by 2 seconds. You are unlucky.
All skill cooldowns are reduced by 2 (+1 per stack) seconds. All random effects are rolled +1 (+1 per stack) times for an unfavorable outcome.
Rarity	Lunar
Category	Utility
Unlock	The Calm
Stats
Stat	Value	Stack	Add
Cooldown Reduction	2s	Linear	+1s
Luck	-1	Linear	-1
Internal
Name	LunarBadLuck

The Purity is a lunar item in Risk of Rain 2. It is the counterpart to 57 Leaf Clover57 Leaf Clover
Luck is on your side.
All random effects are rolled +1 (+1 per stack) times for a favorable outcome.. It reduces all the holder's skill cooldowns by a flat 2 seconds (+1 second per stack), but will make their chance effects less likely to occur by rolling them 1 extra time (+1 per stack) to be unsuccessful.

The following chance-based items can reach 100% chance, and therefore are useful even with the Purity: Lens-Maker's GlassesLens-Maker's Glasses
Gain 10% chance for hits to 'Critically Strike', dealing double damage.
Your attacks have a 10% (+10% per stack) chance to 'Critically Strike', dealing double damage. (and other critical strike items), Sticky BombSticky Bomb
Chance on hit to attach a bomb to enemies.
5% (+5% per stack) chance on hit to attach a bomb to an enemy, detonating for 180% TOTAL damage., Tri-Tip DaggerTri-Tip Dagger
Gain +10% chance to bleed enemies on hit.
10% (+10% per stack) chance to bleed an enemy for 240% base damage., and Ghor's TomeGhor's Tome
Chance on kill to drop a treasure.
4% (+4% on stack) chance on kill to drop a treasure worth $25. Scales over time..

The following chance-based items cannot reach 100% chance, and are therefore less useful the more negative luck the player has: Stun GrenadeStun Grenade
Chance to stun on hit.
5% (+5% on stack) chance on hit to stun enemies for 2 seconds., AtG Missile Mk. 1AtG Missile Mk. 1
Chance to fire a missile.
10% chance to fire a missile that deals 300% (+300% per stack) TOTAL damage., BandolierBandolier
Chance on kill to drop an ammo pack that resets all skill cooldowns.
18% (+10% per stack) chance on kill to drop an ammo pack that resets all skill cooldowns., UkuleleUkulele
...and his music was electric.
25% chance to fire chain lightning for 80% TOTAL damage on up to 3 (+2 per stack) targets within 20m (+2m per stack)., Happiest MaskHappiest Mask
Chance on killing an enemy to summon a ghost.
Killing enemies has a 7% chance to spawn a ghost of the killed enemy with 1500% damage. Lasts 30s (+30s per stack)., Sentient Meat HookSentient Meat Hook
Chance to hook all nearby enemies.
20% (+20% per stack) chance on hit to fire homing hooks at up to 10 (+5 per stack) enemies for 100% TOTAL damage., Molten PerforatorMolten Perforator
Chance on hit to fire magma balls.
10% chance on hit to call forth 3 magma balls from an enemy, dealing 300% (+300% per stack) damage each., Charged PerforatorCharged Perforator
Chance on hit to call down a lightning strike.
10% chance on hit to down a lightning strike, dealing 500% (+500% per stack) damage., Brittle CrownBrittle Crown
Gain gold on hit... BUT surrender gold on getting hit.
30% chance on hit to gain 2 (+2 per stack) gold. Scales over time.

Lose gold on taking damage equal to 100% (+100% per stack) of the maximum health percentage you lost., and Survivors of the Void - DLC Content
Tentabauble is part of the Survivors of the Void DLC. It is only available if the DLC is enabled when starting a run.
Click for more info. TentabaubleSurvivors of the Void - DLC Content
This content is part of the Survivors of the Void DLC. It is only available if the DLC is enabled when starting a run.
Click for more info.Tentabauble
Chance to root enemies on hit. Corrupts all Chronobaubles.
5% (+5% per stack) chance on hit to root enemies for 1s (+1s per stack). Corrupts all Chronobaubles..

Items that have guaranteed effects, such as the ChronobaubleChronobauble
Slow enemies on hit.
Slow enemies on hit for -60% movement speed for 2s (+2s per stack). or Kjaro's BandKjaro's Band
High damage hits also blasts enemies with a runic flame tornado. Recharges over time.
Hits that deal more than 400% damage also blasts enemies with a runic flame tornado, dealing 300% (+300% per stack) TOTAL damage over time. Recharges every 10 seconds. and Runald's BandRunald's Band
High damage hits also blasts enemies with runic ice. Recharges over time.
Hits that deal more than 400% damage also blasts enemies with a runic ice blast, slowing them by 80% for 3s (+3s per stack) and dealing 250% (+250% per stack) TOTAL damage. Recharges every 10 seconds., are unaffected by Purity.

Math

If p is the probability of a favorable event occurring without any luck modifiers, the probability of the favorable event is p ^ (x + 1), where x is the number of Purities held.

• For example, if the player has 1 Purity and 2 Sticky BombsSticky Bomb
  Chance on hit to attach a bomb to enemies.
  5% (+5% per stack) chance on hit to attach a bomb to an enemy, detonating for 180% TOTAL damage., the probability of a bomb without any Luck modifiers is 10%. Therefore, the probability of a bomb with 1 Purity is 0.1 ^ 2 = 1%

Base Chance	1 Purity	2 Purities
5%	0,25%	0,0125%
10%	1%	0,1%
15%	2,25%	0,33%
20%	4%	0,8%
25%	6,2%	1,5%
30%	9%	2,7%
35%	12,2%	4,2%
40%	16%	6,4%
45%	20,2%	9,1%
50%	25%	12,5%
55%	30,2%	16,6%
60%	36%	21,6%
65%	42,2%	27,4%
70%	49%	34,3%
75%	56,2%	42,1%
80%	64%	51,2%
85%	72,2%	61,4%
90%	81%	72,9%
95%	90,2%	85,7%
100%	100%	100%

Notes

• The luck stat affected by Purity is the same as the one affected by the 57 Leaf Clover57 Leaf Clover
  Luck is on your side.
  All random effects are rolled +1 (+1 per stack) times for a favorable outcome., and as such, equal stacks of Purity and the Clover cancel each other out.
• The flat cooldown reduction of Purity is applied after the reductions of Alien HeadAlien Head
  Reduces cooldowns for your skills.
  Reduce skill cooldowns by 25% (+25% per stack)., Survivors of the Void - DLC Content
  Light Flux Pauldron is part of the Survivors of the Void DLC. It is only available if the DLC is enabled when starting a run.
  Click for more info. Light Flux PauldronSurvivors of the Void - DLC Content
  This content is part of the Survivors of the Void DLC. It is only available if the DLC is enabled when starting a run.
  Click for more info.Light Flux Pauldron
  Halve your cooldowns.. BUT halve your attack speed.
  Decrease skill cooldowns by 50% (+50% per stack). Decrease attack speed by 50% (+50% per stack)., Survivors of the Void - DLC Content
  Lysate Cell is part of the Survivors of the Void DLC. It is only available if the DLC is enabled when starting a run.
  Click for more info. Lysate CellSurvivors of the Void - DLC Content
  This content is part of the Survivors of the Void DLC. It is only available if the DLC is enabled when starting a run.
  Click for more info.Lysate Cell
  Add an extra charge of your Special skill. Corrupts all Fuel Cells.
  Add +1 (+1 per stack) charge of your Special skill. Reduces Special skill cooldown by 33%. Corrupts all Fuel Cells. and Hardlight AfterburnerHardlight Afterburner
  Add 2 extra charges of your Utility skill. Reduce Utility skill cooldown.
  Add +2 (+2 per stack) charges of your Utility skill. Reduces Utility skill cooldown by 33%., making it stack extremely well with them.
• Tougher TimesTougher Times
  Chance to block incoming damage.
  15% (+15% per stack) chance to block incoming damage. Unaffected by luck. is unaffected by Purity, due to it being unaffected by the luck stat in general.
• The cooldown reduction can only reduce skills' cooldowns to a minimum 0.5s.

Lore

It looks like starseed, tanning in dirt.
It smells like hot stone, and tall grass.
It tastes like spiced fruit, sweet and hot.
It feels like solar winds, and solar chimes.
It sounds like two brothers, chasing glass frogs in the sun.

Trivia

• The shape of the Purity is a great stellated dodecahedron, being an icosahedron with triangular pyramids on every face.

Version History

PC Patch v1.0.1.1 (Build ID No.5440050)

• Bug Fixes
  • Remove luck from Artifact KeyArtifact Key
    A stone shard with immense power. drop calculation since it can cause soft-locks with Purity

Early Access Content Update 5

• Major Content
  • Added new Lunar Item: Purity
  • Added New Item Lore Entry: Purity
  • Added New Challenge: The CalmPurity
    Reduce your skill cooldowns by 2 seconds. You are unlucky.
    All skill cooldowns are reduced by 2 (+1 per stack) seconds. All random effects are rolled +1 (+1 per stack) times for an unfavorable outcome.