Tenacity: Difference between revisions

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(Corrected grammar/consistency for the paragraph under Stacking. I technically tried to fix this wording once already, there should be no mention of "type" anymore and only "modifier" and "group" should be used.)
 
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=== Runes ===
=== Runes ===


* [[File:Rune shard Tenacity and Slow Resist.png|20px|link=Runes Reforged#Shards]] [[Runes Reforged#Shards|Tenacity and slow resist rune shard]]
* [[File:Rune shard Tenacity and Slow Resist.png|20px|link=Rune#Shards]] [[Rune#Shards|Tenacity and slow resist rune shard]]


=== Summoner Spells ===
=== Summoner Spells ===
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== Stacking ==
== Stacking ==
The '''tenacity''' stat is built up from sub-stats that internally are referred to as "modifiers". These are referred to as groups, from A to C. Combination of effects in the same type will stack '''multiplicatively''', while combination of multiple types will stack '''additively'''.
The '''tenacity''' stat is built up from sub-stats that internally are referred to as "modifiers" and are part of three different groups, labelled A, B, or C. Modifiers within the same group stack '''multiplicatively''', while the different groups stack '''additively''' with each other.


'''Tenacity''' is capped at 100%.
'''Tenacity''' is capped at 100%.
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* {{ii|Sterak's Gage}}
* {{ii|Sterak's Gage}}
* {{ii|Wit's End}}
* {{ii|Wit's End}}
* [[File:Rune shard Tenacity and Slow Resist.png|20px|link=Runes Reforged#Shards]] [[Runes Reforged#Shards|Tenacity and slow resist rune shard]]
* [[File:Rune shard Tenacity and Slow Resist.png|20px|link=Rune#Shards]] [[Runes#Shards|Tenacity and slow resist rune shard]]
* {{bi|Chemtech Blight}}
* {{bi|Chemtech Blight}}
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Latest revision as of 16:34, 1 June 2025

 Tenacity, or Crowd Control Reduction, is a stat that reduces the duration of all incoming crowd control status effects (disables) except airborne, drowsy, nearsight, stasis, and suppression.

Tenacity is a percentage, and it indicates by how much the disable's duration is reduced. Any disable's duration cannot be reduced below 0.3 seconds*. The disable's duration is calculated at the moment of application, and does not change during it if tenacity changes.

Tenacity can be increased (self- or ally-sourced) and decreased (enemy-sourced) from abilities, buffs, items, runes, and summoner spells.

Increasing tenacity[edit | edit source]

Items[edit | edit source]

This table is automatically generated based on the data from Module:ItemData/data.

ItemCostAmountAvailability
An icon for the item Chainlaced Crushers Chainlaced Crushers1750 An icon representing Gold30%Classic Summoner's Rift 5v5
An icon for the item Mercury's Treads Mercury's Treads1250 An icon representing Gold30%Nexus Blitz, Arena, Classic Summoner's Rift 5v5, All Random All Mid
An icon for the item Sterak's Gage Sterak's Gage3200 An icon representing Gold20%Nexus Blitz, Arena, Classic Summoner's Rift 5v5, All Random All Mid
An icon for the item Wit's End Wit's End2800 An icon representing Gold20%Nexus Blitz, Arena, Classic Summoner's Rift 5v5, All Random All Mid

Consumables[edit | edit source]

Champion abilities[edit | edit source]

Runes[edit | edit source]

Summoner Spells[edit | edit source]

Neutral Buffs[edit | edit source]

Game Modes[edit | edit source]

Decreasing tenacity[edit | edit source]

Note that tenacity can have negative values, which will cause incoming disables to last longer.

Champion Abilities[edit | edit source]


Stacking[edit | edit source]

The tenacity stat is built up from sub-stats that internally are referred to as "modifiers" and are part of three different groups, labelled A, B, or C. Modifiers within the same group stack multiplicatively, while the different groups stack additively with each other.

Tenacity is capped at 100%.

The mathematics regarding the total tenacity is as follows:

(1 - ((1 - A1)(1 - A2)(1 - ...))) + (1 - ((1 - B1)(1 - B2)(1 - ...))) + (1 - ((1 - C1)(1 - C2)(1 - ...)))

Source
Group A
Group B
Group C

For instance, a champion has An icon for the item Mercury's Treads Mercury's Treads and An icon for the item Wit's End Wit's End equipped, and they have been debuffed by Brittle's tenacity reduction from an enemy. The sum of their tenacity is calculated as follows:

  • Group A Tenacity modifiers = An icon for the item Mercury's Treads 30% × An icon for the item Wit's End 20%
  • Group C Tenacity modifier = -30%
  • Final Tenacity = (1 - ((1 - An icon for the item Mercury's Treads) × (1 - An icon for the item Wit's End)) Group A Tenacity modifiers + Group C Tenacity modifier
  • = (1 - ((1 - An icon for the item Mercury's Treads 0.3) × (1 - An icon for the item Wit's End 0.2)) + -0.3
  • = (1 - (0.7 × 0.8)) + -0.3
  • = 0.44 + -0.3 = 14%

Trivia[edit | edit source]