57 Leaf Clover

57 Leaf Clover
Luck is on your side.
All random effects are rolled +1 (+1 per stack) times for a favorable outcome.
Rarity	Legendary
Category	Utility
Unlock	The Long Road
Corrupted	Survivors of the Void - DLC Content Benthic Bloom 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. Benthic BloomSurvivors 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.Benthic Bloom Upgrades your items at the start of each stage. Corrupts all 57 Leaf Clovers. Upgrades 3 (+3 per stack) random items to items of the next higher rarity at the start of each stage. Corrupts all 57 Leaf Clovers.
ID	35
Stats
Stat	Value	Stack	Add
Luck	1	Linear	+1

The 57 Leaf Clover is an item in Risk of Rain 2.

The Clover makes random beneficial effects more likely to occur for the holder, and as such is the counterpart to the PurityPurity
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. (which makes beneficial effects less likely to occur). It affects all random effects except Tougher TimesTougher Times
Chance to block incoming damage.
15% (+15% per stack) chance to block incoming damage. Unaffected by luck..

If a successful proc is not achieved on a roll, it will be rolled one additional time per Clover. For example, assume the player has one item that has a 20% chance to proc a beneficial effect on-hit, and has one 57 Leaf Clover. If the player attacks, and the item does not activate, the roll will be done once more, as the player has one Clover.

Successes are measured per effect, not as a whole. If one item roll is successful, other items that were triggered by the same proc will continue to roll if unsuccessful.

Since items from chests are created based on the world seed, the Clover does not affect them.

Math

In order to calculate proc probability with a certain number of Clovers, the following equation can be used:

y = 1 - (1 - p)^(x + 1)

Where:

• p = total item proc chance (between 0 and 1)
• x = the number of Clovers in the player's inventory.
• y = new item proc chance (between 0 and 1) with x amount of Clovers.

Base Chance	1 Clover	2 Clovers
5%	9,7%	14,2%
10%	19%	27,1%
15%	27,7%	38,5%
20%	36%	48,8%
25%	43,7%	57,8%
30%	51%	65,7%
35%	57,7%	72,5%
40%	64%	78,4%
45%	69,7%	83,3%
50%	75%	87,5%
55%	79,7%	90,8%
60%	84%	93,6%
65%	87,7%	95,7%
70%	91%	97,3%
75%	93,7%	98,4%
80%	96%	99,2%
85%	97,7%	99,6%
90%	99%	99,9%
95%	99,7%	99,9%

The inverse of the equation, to find the number of Clovers required to achieve a certain proc probability, is:

x = (log(1 - y) / log(1 - p)) - 1

Note that this is a logarithmic equation. As such, it is impossible to achieve 100% proc chance on an effect (regardless of the number of Clovers held), unless the base chance is already 100%.

In order to calculate proc probability with a certain number of Clovers and a certain number of times a proc chance is rolled, the following equation can be used:

y = 1 - ((1 - p)^(x + 1))^t

Where:

• p = total proc chance (between 0 and 1)
• x = the number of Clovers in the player's inventory.
• t = the amount of times a proc chance is rolled.
• y = new proc chance (between 0 and 1) with x amount of Clovers and t amount of times the proc chance is rolled.

This equation is useful for calculating logbook drop chances for multi-phase bosses, like Survivors of the Void - DLC Content
Voidling 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. VoidlingSurvivors 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.Voidling
Diviner of the DeepHP: 2000 (+600 per level)
Damage: 15 (+3 per level)
Class: Ranged
Speed: 45 m/s
Armor: 20 and MithrixMithrix
King of NothingHP: 1000 (+300 per level)
Damage: 16 (+3.2 per level)
Class: Melee / Ranged
Speed: 15 m/s
Armor: 20, or more uncommon enemies, like Overloading WormsOverloading Worm
The ReminderHP: 12000 (+3600 per level)
Damage: 50 (+10 per level)
Class: Melee
Speed: 20 m/s
Armor: 15.

Interaction with Purity

In the game code, the number of Clovers is referred to as "Luck," with each Clover giving +1 Luck. There are no other means of acquiring positive Luck. Negative Luck is also supported, and can be obtained via the lunar item PurityPurity
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.. Positive and negative Luck will cancel each other out, and thus an equal number of Clovers and Purity will equate to 0 Luck.

The game runs a proc chance Abs(Luck) times, where Luck is the total amount after Clovers (positive) & Purities (negative) are applied.

If the player has 7 Clovers and 5 Purity, the 5 Purity will cancel out 5 of the Clovers, resulting in a net +2 Luck. This means any given proc chance will be rolled two additional times for a positive outcome. If the amount of each item is switched, resulting in -2 Luck, the proc chance will be rolled two additional times for a negative outcome; this can also be seen as the proc chance needing to successfully roll three times for it to proc (once for the initial roll and two more for each negative Luck).

Exhaustive List of Clover Effects

Luck does not affect chest spawns or contents, Shrine of Chance outcomes, the chance for an Artifact KeyArtifact Key
A stone shard with immense power. to drop, or the chance for monsters to drop items with the Artifact of Sacrifice enabled.

Survivor Effects

• Critical strike chance. Survivors have a base 1.0% critical strike chance.
• Artificer'sArtificerThe Artificer is a high burst damage survivor who excels in fighting large groups and bosses alike.
  Class: Ranged
  HP: 110 (+33 per level)
  Damage: 12 (+2.4 per level)
  Armor: 0
  Umbra: Herald of the House Beyond chance to BurnBurn (Debuff)
  Damage over time, disable health regeneration.Applies a percent of damage over time, and disables health regeneration.
  (stackable) with FlamethrowerFlamethrower (Special)Ignite. Burn all enemies in front of you for 2000% damage.
  Survivor: Artificer (50% base chance).
• Heretic'sHereticThe Heretic is a powerful character who can only be accessed through extraordinary means.
  Class: Ranged
  HP: 440 (+132 per level)
  Damage: 18 (+3.6 per level)
  Armor: 0
  Umbra: Unorthodoxy Risen chance to inflict RuinRuin (Debuff)
  Consumes Ruins stacks to deal additional damage.Consumes Ruin stacks to deal 300% damage plus 120% damage per Ruin stack
  (stackable) on hit (base chance is equal to the proc coefficient of the damage).

Item Effects

• Lens-Maker's Glasses'sLens-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. chance to critical hit.
• Stun Grenade'sStun Grenade
  Chance to stun on hit.
  5% (+5% on stack) chance on hit to stun enemies for 2 seconds. chance to stun a target.
• Tri-Tip Dagger'sTri-Tip Dagger
  Gain +10% chance to bleed enemies on hit.
  10% (+10% per stack) chance to bleed an enemy for 240% base damage. chance to BleedBleed (Debuff)
  Damage over time.Deals 240% damage over time [3 x proc coefficient] (20% per tick, 4 ticks per second).
  (stackable) a target.
• Ukulele'sUkulele
  ...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). chance to fire chain lightning.
• Sticky Bomb'sSticky 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. chance to attach a sticky bomb.
• AtG Missile Mk. 1'sAtG Missile Mk. 1
  Chance to fire a missile.
  10% chance to fire a missile that deals 300% (+300% per stack) TOTAL damage. chance to fire a missile.
• Bandolier'sBandolier
  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. chance to drop an ammo pack.
• Ghor's Tome'sGhor'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. chance to drop a gold nugget.
• Sentient Meat Hook'sSentient 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. chance to hook enemies.
• Happiest Mask'sHappiest 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). chance to spawn a ghost.
• Molten Perforator'sMolten 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. chance to fire magma balls.
• Charged Perforator'sCharged 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. chance to summon a lightning bolt.
• Brittle Crown'sBrittle 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. chance to gain gold.
• Spinel Tonic's60sSpinel Tonic
  Gain a massive boost to ALL stats. Chance to gain an affliction that reduces ALL stats.
  Drink the Tonic, gaining a boost for 20 seconds. Increases damage by +100%. Increases attack speed by +70%. Increases armor by +20. Increases maximum health by +50%. Increases passive health regeneration by +300%. Increases movespeed by +30%.
  
  When the Tonic wears off, you have a 20% chance to gain a Tonic Affliction, reducing all of your stats by -5% (-5% per stack). chance to get a Tonic AfflictionTonic Affliction
  Reduce ALL stats when not under the effects of Spinel Tonic.
  Reduce ALL stats by -5% (-5% per stack).. A single Clover reduces the chance from 20% to 4%.
• Survivors of the Void - DLC Content
  Eulogy Zero 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. Eulogy Zero'sSurvivors 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.Eulogy Zero
  Items and equipment have a small chance to transform into a Lunar item instead.
  Items have a 5% (+5% per stack) chance to become a Lunar item instead. chance to replace an item with a lunar item.
• Survivors of the Void - DLC Content
  Lost Seer's Lenses 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. Lost Seer's Lenses'sSurvivors 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.Lost Seer's Lenses
  Gain a 0.5% chance to instantly kill a non-boss enemy. Corrupts all Lens-Maker's Glasses.
  Your attacks have a 0.5% (+0.5% per stack) chance to instantly kill a non-Boss enemy. Corrupts all Lens-Maker's Glasses. chance to instantly kill.
• Survivors of the Void - DLC Content
  Needletick 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. Needletick'sSurvivors 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.Needletick
  Chance to collapse enemies on hit. Corrupts all Tri-Tip Daggers.
  10% (+10% per stack) chance to collapse an enemy for 400% base damage. Corrupts all Tri-Tip Daggers. chance to inflict Survivors of the Void - DLC Content
  Collapse 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. CollapseSurvivors 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.Collapse (Debuff)
  Deals damage after a delay.3 seconds after the first stack is applied, deals 400% damage per stack and removes all stacks.
  (stackable).
• Survivors of the Void - DLC Content
  Polylute 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. Polylute'sSurvivors 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.Polylute
  Chance to repeatedly strike a single enemy with lightning. Corrupts all Ukuleles.
  25% chance to fire lightning for 60% TOTAL damage up to 3 (+3 per stack) times. Corrupts all Ukuleles. chance to barrage an enemy with lightning.
• 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. Tentabauble'sSurvivors 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. chance to inflict NullifiedNullified (Debuff)
  Drastically reduce movement speed.Reduce movement speed to 0..

Gameplay Effects

• Monster log drop chance.
• Elite equipment drop chance.

Monster Effects

• If a monster acquires critical strike chance, this chance is affected by any Clovers it has. Monsters have 0% base critical strike chance.

Lore

It was a massacre. The orbital probes had incinerated both the battalion and the enemy– as well as the entire plateau. There was no life left to be found - except for one lone soldier.

The soldier trudged through the scorched plains, numbly looking for any survivors.

But he found none.

The soldier tried to find water – he had only just noticed how thirsty he was, and how much his head hurt. How much his heart hurt.

But he found none.

The soldier tried to remember, why he was out on this terrible mission, and why he had to say goodbye to so many.

But he found none.

The soldier tried to find anything – anything that could justify why he was alive. Some semblance of meaning – or hope.

And he found one.

A small leaf, peeking out from a pile of ash. He gently plucked the clover out of the ground – somehow, it survived hours of orbital bombardments. 

With clover in hand, the soldier began the long trek to report back to his superiors. Was this divine intervention? Was there some meaning – some reason as to why both him and this little clover survived? 

Or were they just lucky?

Version History

Anniversary Update

• Major Content
  • Added New Lore Entry: 57 Leaf Clover

Trivia

• The 57 Leaf Clover is the successor to the 56 Leaf Clover from the first Risk of Rain. The 56 Leaf Clover did not interact with chance effects, but instead gave a chance for Elite monsters to drop random items upon defeat.
  • This behavior is partially carried over to Risk of Rain 2, as the 57 Leaf Clover affects the chance for Elite monsters to drop their Elite equipment.
• Before the Artifacts update, the unreleased code for the Artifact of Sacrifice would check for the Luck of the killer. This is no longer the case.
• Before the full release of Risk of Rain 2, 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. and 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. were affected by the Luck stat, and therefore were more likely to proc when the player had a Clover. This is no longer the case, as the 1.0 update revamped both Bands.
  • An interesting leftover of this design change is that Kjaro and Runald, the two Elder LemuriansElder Lemurian
    HP: 900 (+270 per level)
    Damage: 16 (+3.2 per level)
    Class: Ranged
    Speed: 13 m/s
    Armor: 0 who spawn with the Bands in the Abandoned Aqueduct, also both spawn with 20 stacks of 57 Leaf Clovers.
• For every frame that the Clover's effect is triggered at least once, a chime sound can be heard. This is hard to notice when striking an enemy, but it can also be triggered when the player takes damage while holding a RazorwireRazorwire
  Retaliate in a burst of razors on taking damage.
  Getting hit causes you to explode in a burst of razors, dealing 160% damage. Hits up to 5 (+2 per stack) targets in a 25m (+10m per stack) radius, since the item will roll for critical strike before searching for valid targets. As such, being under the effect of the Survivors of the Void - DLC Content
  Void Fog 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. Void FogSurvivors 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.Void Fog (Debuff)
  Recipient is under the effect of Void Fog.Indicator status effect used to show the recipient is under the effect of Void Fog, which deals a small amount of damage multiple times per second, increasing with each tick. This damage cannot be blocked or reduced by items such as Tougher TimesTougher Times
  Chance to block incoming damage.
  15% (+15% per stack) chance to block incoming damage. Unaffected by luck. or Repulsion Armor PlateRepulsion Armor Plate
  Receive flat damage reduction from all attacks.
  Reduce all incoming damage by 5 (+5 per stack). Cannot be reduced below 1.. makes this more noticeable.