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m (→‎Champion Abilities: Housekeeping, replaced: ===Champion Abilities== → === Champion Abilities ==)
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'''Tenacity''' (or '''Crowd Control Reduction''') is a stat that reduces the duration of all [[crowd control]] effects except {{tip|suppression}}, {{tip|stasis}}, and {{tip|Airborne|displacements}}. The duration of any crowd control is hard capped at a minimum of {{fd|0.5}} seconds. Tenacity can be increased with [[Champion ability|champion abilities]], [[Item|items]], [[runes]], and [[Summoner spell| summoner spells]]. The duration of the crowd control is calculated the moment it's applied. It will not change if the target increases/decreases his '''Tenacity''' after the effect has been applied. '''Tenacity''' can [[stacking|stack]] both multiplicatively and additively, depending on the combination of the effects.
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{{sti|'''Tenacity'''}} (or '''Crowd Control Reduction''') is a stat that reduces the duration of all incoming {{tip|crowd control}} effects except {{tip|suppression}}, {{tip|nearsight}}, {{tip|stasis}}, {{tip|Airborne|displacements}}, and {{tip|drowsy}}. The stat is the percentage by which the duration is reduced. This reduction is limited, the duration can never drop below {{fd|0.5}} seconds. The duration of the ''crowd control'' is calculated at the time of application and does not change if the '''tenacity''' changes.
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== Increasing tenacity ==
 
== Increasing tenacity ==
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Tenacity can be increased with [[Champion ability|champion abilities]], [[Item|items]], [[runes]], and [[Summoner spell|summoner spells]], [[stacking]] both {{tip|stacks multiplicatively|multiplicatively}} and {{tip|stacks additively|additively}} depending on the combination of the effects.
The following game elements increase tenacity:
 
   
 
=== Items ===
 
=== Items ===
 
* {{ii|Mercury's Treads}}
 
* {{ii|Mercury's Treads}}
* {{ii|Moonflair Spellblade}}
 
 
* {{ii|Sterak's Gage}}
 
* {{ii|Sterak's Gage}}
* {{ii|Zephyr}}
 
   
 
=== Elixirs ===
 
=== Elixirs ===
 
* {{ii|Elixir of Iron}}
 
* {{ii|Elixir of Iron}}
* {{ii|Travel Size Elixir of Iron}} (gained from {{ri|Kleptomancy}})
 
   
 
=== Champion abilities ===
 
=== Champion abilities ===
* {{cai|Burning Agony|Dr. Mundo}} grants him {{ap|10|15|20|25|30}}% tenacity while toggled on.
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* {{cai|Burning Agony|Dr. Mundo}}
* {{cai|Courage|Garen}} grants him 60% tenacity for the first {{fd|0.75}} seconds.
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* {{cai|Courage|Garen}}
   
 
=== Runes ===
 
=== Runes ===
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=== Summoner Spells ===
 
=== Summoner Spells ===
* {{sp|Cleanse}}
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* {{si|Cleanse}}
   
 
=== Game Modes ===
 
=== Game Modes ===
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== Stacking ==
 
== Stacking ==
 
These are the combinations that stack '''additively''':
 
These are the combinations that stack '''additively''':
* {{ii|Elixir of Iron}}; {{ii|Travel Size Elixir of Iron}} and {{ri|Unflinching|Unflinching's 10%/20% bonus}}
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* {{ii|Elixir of Iron}} with {{ri|Unflinching|Unflinching's 10%/20% bonus}}
* {{ii|Mercury's Treads}} / {{ii|Moonflair Spellblade}} / {{ii|Zephyr}} with {{ii|Sterak's Gage}}
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* {{ii|Mercury's Treads}} with {{ii|Sterak's Gage}}
* {{ai|Burning Agony|Dr. Mundo}} / {{ai|Courage|Garen}} with {{ri|Unflinching|Unflinching's 15% bonus}}
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* {{ai|Burning Agony|Dr. Mundo}} / {{ai|Courage|Garen}} with {{tip|Brittle}} and {{ri|Unflinching|Unflinching's 15% bonus}}
 
All the other combinations stack '''multiplicatively'''.
 
All the other combinations stack '''multiplicatively'''.
   
 
== Reducing Tenacity ==
 
== Reducing Tenacity ==
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Tenacity can be reduced to negative values, causing crowd control to last longer.
{{cai|Bellows Breath|Ornn}} and {{ai|Call of the Forge God|Ornn|Call of the Forge God}} apply ''{{tip|Brittle}}'' to an enemy. Enemies can have up to 2 marks of {{tip|Brittle}}. Each mark reduces the target's tenacity by 30%, in other words, it increases the duration of incoming Crowd Control by 30% (including {{tip|Airborne}} effects).
 
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  +
=== Champion Abilities ===
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* {{cai|Bellows Breath|Ornn}} and {{ai|Call of the Forge God|Ornn}} apply {{tip|Brittle}}, a unique effect that also increases {{tip|Airborne|Knockup}} duration.
   
 
== Trivia ==
 
== Trivia ==
 
* Until patch [[V1.0.0.118]], '''Tenacity''' was an unnamed effect unique to {{ii|Mercury's Treads}}. That patch promoted the effect to a [[champion statistic]] and added three new items: {{ii|Cloak and Dagger}} (later removed), {{ii|Eleisa's Miracle}} (later removed) and {{ii|Moonflair Spellblade}}. '''Tenacity''' from multiple sources did not stack, similar to {{nie|Enhanced Movement}}. In [[Season Three]] there was an item overhaul, named item effects were introduced, and '''Tenacity''' was reverted to an item effect. In [[V3.01]], all sources of crowd control reduction were changed to say "Tenacity" and '''Tenacity''' was reintroduced as a champion statistic.
 
* Until patch [[V1.0.0.118]], '''Tenacity''' was an unnamed effect unique to {{ii|Mercury's Treads}}. That patch promoted the effect to a [[champion statistic]] and added three new items: {{ii|Cloak and Dagger}} (later removed), {{ii|Eleisa's Miracle}} (later removed) and {{ii|Moonflair Spellblade}}. '''Tenacity''' from multiple sources did not stack, similar to {{nie|Enhanced Movement}}. In [[Season Three]] there was an item overhaul, named item effects were introduced, and '''Tenacity''' was reverted to an item effect. In [[V3.01]], all sources of crowd control reduction were changed to say "Tenacity" and '''Tenacity''' was reintroduced as a champion statistic.
* Until Season Three, '''Tenacity's''' in-game icon was the same as the icon used for {{cai|Vorpal Spikes|Cho'Gath}} and {{cis|Baron Nashor}} passive. Between the introduction of season 3 changes and [[V3.01]], it shared the same icon as the {{mi3|Tenacious}} mastery. As of [[V3.01]], it no longer has an icon in the buff bar.
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* Until Season Three, '''Tenacity's''' in-game icon was the same as the icon used for {{cai|Vorpal Spikes|Cho'Gath}} and {{uis|Baron Nashor}} passive. Between the introduction of season 3 changes and [[V3.01]], it shared the same icon as the {{mi3|Tenacious}} mastery. As of [[V3.01]], it no longer has an icon in the buff bar.
   
 
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'''''Last updated:''' March 7, 2018, patch [[V8.4]]''
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'''''Last updated:''' November 20, 2019, patch [[V9.23]]''
   
* The biggest amount of Tenacity you can obtain is '''{{fd|99.08125}}%''' with {{ci|Garen}}.
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* The biggest amount of Tenacity you can obtain is '''{{fd|98.652}}%''' with {{ci|Garen}}.
 
** {{ai|Courage|Garen}} + {{ri|Unflinching}} (+75% tenacity)
 
** {{ai|Courage|Garen}} + {{ri|Unflinching}} (+75% tenacity)
** {{ii|Elixir of Iron}} + {{ii|Travel Size Elixir of Iron}} + {{ri|Unflinching}} (+70% tenacity)
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** {{ii|Elixir of Iron}} + {{ri|Unflinching}} (+45% tenacity)
** {{ii|Moonflair Spellblade}} + {{ii|Sterak's Gage}} (+65% tenacity)
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** {{ri|Legend: Tenacity}} (+30% tenacity)
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** {{ii|Mercury's Treads}} + {{ii|Sterak's Gage}} (+60% tenacity)
 
** {{si|Cleanse}} (+65% tenacity)
 
** {{si|Cleanse}} (+65% tenacity)
   
:1 - ((1 - ({{ai|Courage|Garen|{{fd|0.6}}}} + {{ri|Unflinching|{{fd|0.15}}}})){{times}}(1 - ({{ii|Elixir of Iron|{{fd|0.25}}}} + {{ii|Travel Size Elixir of Iron|{{fd|0.25}}}} + {{ri|Unflinching|{{fd|0.2}}}})){{times}}(1 - ({{ii|Moonflair Spellblade|{{fd|0.35}}}} + {{ii|Sterak's Gage|{{fd|0.3}}}})){{times}}(1 - {{si|Cleanse|{{fd|0.65}}}}){{equals}}
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:1 - ((1 - ({{ai|Courage|Garen|{{fd|0.6}}}} + {{ri|Unflinching|{{fd|0.15}}}})){{times}}(1 - ({{ii|Elixir of Iron|{{fd|0.25}}}} + {{ri|Unflinching|{{fd|0.2}}}})){{times}}(1 - {{ri|Legend: Tenacity|{{fd|0.3}}}}){{times}}(1 - ({{ii|Mercury's Treads|{{fd|0.3}}}} + {{ii|Sterak's Gage|{{fd|0.3}}}})){{times}}(1 - {{si|Cleanse|{{fd|0.65}}}}){{equals}}
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::1 - ({{tt|0.25|Courage and Unflinching}}{{times}}{{tt|0.55|Elixir of Iron and Unflinching}}{{times}}{{tt|0.7|Legend: Tenacity}}{{times}}{{tt|0.4|Mercury's Treads and Sterak's Gage}}{{times}}{{tt|0.35|Cleanse}}){{equals}}'''{{fd|98.652}}%'''
   
 
* With this amount of tenacity, {{cai|Wither|Nasus}} ({{tt|longest crowd control in the game|5 seconds}}) would only last {{fd|0.067}} seconds. The minimum crowd control duration prevents this.
::1 - ({{tt|0.25|Courage and Unflinching}}{{times}}{{tt|0.3|Elixir of Iron, Travel Size Elixir of Iron, and Unflinching}}{{times}}{{tt|0.35|Moonflair Spellblade and Sterak's Gage}}{{times}}{{tt|0.35|Cleanse}}){{equals}}'''{{fd|99.081}}%'''
 
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** In comparison, {{cai|Wither|Nasus}} would last {{fd|6.5}} seconds if the target has no tenacity and is ''{{tip|Brittle|Brittled}}''.
 
* Note that this amount of tenacity can only be achieved briefly with {{ai|Courage|Garen}} wearing off almost immediately, and with {{ri|Unflinching}} and {{ii|Sterak's Gage}} which grant a temporary buff.
 
* With the [[Ultra Rapid Fire]] buff enabled, the maximum tenacity achievable is '''{{fd|98.989}}%'''.
 
::1 - ({{tt|0.25|Courage and Unflinching}}{{times}}{{tt|0.55|Elixir of Iron and Unflinching}}{{times}}{{tt|0.7|Legend: Tenacity}}{{times}}{{tt|0.4|Mercury's Treads and Sterak's Gage}}{{times}}{{tt|0.35|Cleanse}}{{times}}{{tt|0.75|URF Buff}}){{equals}}'''{{fd|98.989}}%'''
   
* With this amount of tenacity, the longest crowd control in the game {{cai|Wither|Nasus}}, which usually lasts 5 seconds, will only last {{fd|0.046}} seconds.
 
** In comparison, a champion targeted by {{cai|Wither|Nasus}}, with 2 ''Brittle'' stacks (-60% tenacity), will be slowed for 8 seconds.
 
* Note that this amount of tenacity can only be achieved briefly with {{ai|Courage|Garen}} wearing off almost immediately.
 
* With the [[Ultra Rapid Fire]] buff enabled, the maximum tenacity achievable is '''{{fd|99.311}}%'''.
 
::1 - ({{tt|0.25|Courage and Unflinching}}{{times}}{{tt|0.3|Elixir of Iron, Travel Size Elixir of Iron, and Unflinching}}{{times}}{{tt|0.35|Moonflair Spellblade and Sterak's Gage}}{{times}}{{tt|0.35|Cleanse}}{{times}}{{tt|0.75|URF Buff}}){{equals}}'''{{fd|99.311}}%'''
 
 
{{stats}}
 
{{stats}}
   
   
 
[[de:Zähigkeit]]
 
[[de:Zähigkeit]]
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[[ru:Стойкость]]
 
[[Category:Defensive champion statistics]]
 
[[Category:Defensive champion statistics]]

Revision as of 13:04, 17 May 2020

Tenacity icon Tenacity (or Crowd Control Reduction) is a stat that reduces the duration of all incoming Stun icon crowd control effects except Suppression icon suppression, Nearsight icon nearsight, Stasis icon stasis, Airborne icon displacements, and Drowsy icon drowsy. The stat is the percentage by which the duration is reduced. This reduction is limited, the duration can never drop below 0.5 seconds. The duration of the crowd control is calculated at the time of application and does not change if the tenacity changes.


Increasing tenacity

Tenacity can be increased with champion abilities, items, runes, and summoner spells, stacking both Multiple stacking icon multiplicatively and Additive stacking icon additively depending on the combination of the effects.

Items

Elixirs

Champion abilities

Runes

Summoner Spells

Game Modes

Stacking

These are the combinations that stack additively:

All the other combinations stack multiplicatively.

Reducing Tenacity

Tenacity can be reduced to negative values, causing crowd control to last longer.

Champion Abilities

Trivia


Last updated: November 20, 2019, patch V9.23

1 - ((1 - (0 0.6 + 0 0.15)) × (1 - (0 0.25 + 0 0.2)) × (1 - 0 0.3) × (1 - (0 0.3 + 0 0.3)) × (1 - 0 0.65) = 
1 - (0.25 × 0.55 × 0.7 × 0.4 × 0.35) = 98.652%
  • With this amount of tenacity, Nasus' Nasus' Wither Wither (longest crowd control in the game) would only last 0.067 seconds. The minimum crowd control duration prevents this.
  • Note that this amount of tenacity can only be achieved briefly with Courage Courage wearing off almost immediately, and with Unflinching Unflinching and Sterak's Gage Sterak's Gage which grant a temporary buff.
  • With the Ultra Rapid Fire buff enabled, the maximum tenacity achievable is 98.989%.
1 - (0.25 × 0.55 × 0.7 × 0.4 × 0.35 × 0.75) = 98.989%