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+ | {{sti|'''Tenacity'''}}, or '''Crowd Control Reduction''', is a [[Champion statistic|stat]] that reduces the duration of all incoming {{tip|crowd control}} status effects (''disables'') except {{tip|airborne}}, {{tip|drowsy}}, {{tip|nearsight}}, {{tip|stasis}}, and {{tip|suppression}}. |
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− | + | Tenacity is a percentage, and it indicates by how much the disable's duration is reduced. Any disable's duration cannot be reduced below {{fd|0.3}} seconds{{tt|*|Not accounting for cleanup delay 'fuzziness' and some other details regarding ticks and updates, which increase the actual duration again}}. The disable's duration is calculated at the moment of application, and does '''not''' change during it if '''tenacity''' changes. |
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+ | * Tenacity [[stacking|stacks]] either {{tip|stacks multiplicatively|multiplicatively}} or {{tip|stacks additively|additively}}, depending on the combination of the effects. |
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+ | |||
+ | Tenacity can be increased (self- or ally-sourced) and decreased (enemy-sourced) from [[Champion ability|abilities]], [[Buff|buffs]], [[Item (League of Legends)|items]], [[Rune (League of Legends)|runes]], and [[Summoner spell|summoner spells]]. |
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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 multiplicatively and additively depending on the combination of the effects. |
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− | |||
=== Items === |
=== Items === |
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+ | {{Item stat table|tenacity}} |
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⚫ | |||
+ | ==== Consumables ==== |
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− | * {{ii|Moonflair Spellblade}} |
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⚫ | |||
⚫ | |||
− | |||
⚫ | |||
* {{ii|Elixir of Iron}} |
* {{ii|Elixir of Iron}} |
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− | * {{ii|Travel Size Elixir of Iron}} (gained from {{ri|Kleptomancy}}) |
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=== Champion abilities === |
=== Champion abilities === |
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− | * {{cai|Burning Agony|Dr. Mundo}} |
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* {{cai|Courage|Garen}} |
* {{cai|Courage|Garen}} |
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+ | * {{cai|Breath of Life|Milio}} |
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=== Runes === |
=== Runes === |
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* {{ri|Legend: Tenacity}} |
* {{ri|Legend: Tenacity}} |
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+ | * [[File:Rune shard Tenacity and Slow Resist.png|20px|link=Runes Reforged#Shards]] [[Runes Reforged#Shards|Tenacity and slow resist rune shard]] |
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− | * {{ri|Unflinching}} |
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=== Summoner Spells === |
=== Summoner Spells === |
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* {{si|Cleanse}} |
* {{si|Cleanse}} |
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+ | |||
+ | === Neutral Buffs === |
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+ | * {{bi|Chemtech Blight}} |
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=== Game Modes === |
=== Game Modes === |
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+ | * {{tip|ARAM}} (Champion-specific) |
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* {{tip|Ultra Rapid Fire}} |
* {{tip|Ultra Rapid Fire}} |
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+ | * {{tip|Ultimate Spellbook}} |
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− | == |
+ | == Decreasing tenacity == |
+ | Note that '''tenacity''' can have negative values, which will cause incoming disables to last longer. |
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− | These are the combinations that stack '''additively''': |
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− | * {{ii|Elixir of Iron}}; {{ii|Travel Size Elixir of Iron}} and {{ri|Unflinching|Unflinching's 10%/20% bonus}} |
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− | * {{ii|Mercury's Treads}} / {{ii|Moonflair Spellblade}} / {{ii|Zephyr}} with {{ii|Sterak's Gage}} |
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− | * {{ai|Burning Agony|Dr. Mundo}} / {{ai|Courage|Garen}} with {{tip|Brittle}} and {{ri|Unflinching|Unflinching's 15% bonus}} |
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− | All the other combinations stack '''multiplicatively'''. |
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− | == |
+ | === Champion Abilities === |
⚫ | |||
− | Tenacity can be reduced to negative values, causing crowd control to last longer. |
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− | === |
+ | === Items === |
+ | * {{ii|Anathema's Chains}} reduces the ''Nemesis' ''tenacity by 20% while at maximum stacks of ''Vendetta''. This stacks additively with {{tip|Brittle}} for a total of -50% tenacity. |
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⚫ | |||
⚫ | |||
+ | Needs to be updated |
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⚫ | |||
+ | * {{ui|Rift Scuttler}} has -100% tenacity, doubling the duration of crowd control effects applied to her. This stacks additively with {{tip|Brittle}} for a total of -130% tenacity. |
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+ | --> |
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⚫ | |||
+ | 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'''. |
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+ | '''Tenacity''' is capped at 100%. |
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⚫ | |||
⚫ | * 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}} |
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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 {{ |
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+ | The mathematics regarding the '''total''' tenacity is as follows: |
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⚫ | |||
+ | ''(1 - ((1 - A1)(1 - A2)(1 - ...))) + (1 - ((1 - B1)(1 - B2)(1 - ...))) + (1 - ((1 - C1)(1 - C2)(1 - ...)))'' |
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− | '''''Last updated:''' March 7, 2018, patch [[V8.4]]'' |
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+ | {| class="article-table" |
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− | * The biggest amount of Tenacity you can obtain is '''{{fd|99.08125}}%''' with {{ci|Garen}}. |
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+ | ! |
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⚫ | |||
+ | ! style="text-align:center;" | Source |
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− | ** {{ii|Elixir of Iron}} + {{ii|Travel Size Elixir of Iron}} + {{ri|Unflinching}} (+70% tenacity) |
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+ | |- |
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− | ** {{ii|Moonflair Spellblade}} + {{ii|Sterak's Gage}} (+65% tenacity) |
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+ | ! Group A |
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⚫ | |||
+ | | |
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+ | * {{ii|Anathema's Chains}} (debuff) |
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+ | * {{ii|Elixir of Iron}} |
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⚫ | |||
⚫ | |||
⚫ | |||
+ | * {{ri|Legend: Tenacity}} |
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+ | * [[File:Rune shard Tenacity and Slow Resist.png|20px|link=Runes Reforged#Shards]] [[Runes Reforged#Shards|Tenacity and slow resist rune shard]] |
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+ | * {{bi|Chemtech Blight}} |
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+ | |- |
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+ | ! Group B |
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+ | | |
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+ | * {{cai|Breath of Life|Milio}} |
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⚫ | |||
+ | * {{tip|ARAM|ARAM's}} champion-specific balance modifier |
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+ | * {{tip|Ultimate Spellbook|Ultimate Spellbook's}} innate buff |
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+ | * {{tip|Ultra Rapid Fire|Ultra Rapid Fire's}} {{bi|Awesome Buff of Awesomely Awesome Buffing|innate buff}} |
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+ | |- |
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+ | ! Group C |
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+ | | |
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+ | * {{cai|Courage|Garen}} |
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+ | * {{tip|Brittle}} |
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+ | * {{uis|Rift Scuttler}} innate negative tenacity |
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+ | |} |
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+ | For instance, a champion owns {{ii|Mercury's Treads}} and has {{ri|Legend: Tenacity}} at maximum stacks, and a nearby enemy champion affects them with {{tip|Brittle|Brittle's}} tenacity reduction. The sum of their '''tenacity''' is calculated as follows: |
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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}}}} + {{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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+ | * '''Group A''' Tenacity modifiers = {{ii|Mercury's Treads|30%}}{{times}}{{ri|Legend: Tenacity|20%}} |
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+ | * '''Group C''' Tenacity modifier = {{tip|Brittle|-30%}} |
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+ | * '''Final''' Tenacity = (1 - ((1 - {{ii|Mercury's Treads|icononly = true}}){{times}}(1 - {{ri|Legend: Tenacity|icononly = true}})) Group A Tenacity modifiers + {{tip|Brittle|icononly=true}} Group C Tenacity modifier |
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+ | * = (1 - ((1 - {{ii|Mercury's Treads|{{fd|0.3}}}}){{times}}(1 - {{ri|Legend: Tenacity|{{fd|0.2}}}})) + {{tip|Brittle|-0.3}} |
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+ | * = (1 - ({{fd|0.7}}{{times}}{{fd|0.8}})) + {{fd|-0.3}} |
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+ | * = {{fd|0.44}} + {{fd|-0.3}} = '''14%''' |
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+ | == Trivia == |
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− | ::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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⚫ | * 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}}, {{ii|Eleisa's Miracle}} and {{ii|Moonflair Spellblade}} (all later removed). '''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. |
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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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− | * With this amount of tenacity, {{cai|Wither|Nasus}} ({{tt|longest crowd control in the game|5 seconds}}) would only last {{fd|0.046}} seconds. The minimum crowd control duration prevents this. |
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+ | * Prior to the Preseason of 2021, a [https://na.leagueoflegends.com/en-us/news/riot-games/preseason-2021-champion-class-item-goals/ website news post] was made that announced that Tenacity would reduce the duration of {{tip|airborne|knockups}}. However, the change was confirmed to have been cancelled.<ref>[https://twitter.com/MarkYetter/status/1317905623657246721 Twitter post by Mark Yetter on Tenacity change]</ref> |
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− | ** In comparison, {{cai|Wither|Nasus}} would last {{fd|6.5}} seconds if the target is ''{{tip|Brittle|Brittled}}''. |
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+ | * Prior to his VGU in patch [[V11.12]], {{cis|Dr. Mundo|variant = old2}} {{ai|Burning Agony|Dr. Mundo}} granted himself 30% '''Tenacity''' which was additive with other "Champion Tenacity" buffs such as {{tip|Brittle}}. |
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− | * Note that this amount of tenacity can only be achieved briefly with {{ai|Courage|Garen}} wearing off almost immediately. |
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+ | * Prior to [[V3.04]], {{cai|Insanity Potion|Singed}} granted himself {{ap|10|15|20}}% '''Tenacity'''<!-- this probably stacked additively with other "Champion Tenacity" buffs, at least in theory, but this is lacking evidence-->. |
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− | * With the [[Ultra Rapid Fire]] buff enabled, the maximum tenacity achievable is '''{{fd|99.311}}%'''. |
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+ | * Prior to patch [[V12.22]], {{iis|Sunfire Aegis}} Mythic passive granted 5% '''Tenacity''' per Legendary item which was additive with other "Buff Tenacity" buffs such as {{ii|Elixir of Iron}} and {{ri|Unflinching}}. |
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− | ::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}}%''' |
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+ | * On patch [[V12.22]] it became possible to reach 100% tenacity by combining {{ii|Mercury's Treads}} (30%) {{ii|Silvermere Dawn}} (active) (50%) and {{ii|Iceborn Gauntlet}} with 4 other legendary items (20%), which are additive with one another. Until [[V12.23]] it was even possible to reach 120% Tenacity by including {{ii|Mosstomper Seedling}}, which was also additive with these sources. |
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+ | * After [[V13.3]], the highest amount of tenacity was changed to 100% since combinations of effects in different groups were made to be additive. |
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+ | ** Examples of combinations that can reach the cap ([[V13.18]]): |
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⚫ | |||
+ | *** {{ai|Courage|Garen}}, {{ii|Mercury's Treads}} and {{ri|Legend: Tenacity}} [60% + (1 - 0,7 * 0,8) = <u>104%</u>] |
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+ | *** {{ii|Mercury's Treads}}, {{ai|Breath of Life|Milio}} and {{si|Cleanse}} [30% + (1 - 0,35 * 0,5) = <u>112,5%</u>] |
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+ | *** {{si|Cleanse}}, {{ii|Mercury's Treads}} and {{ii|Sterak's Gage}} [50% + (1 - 0,7 * 0,7) = <u>101%</u>] |
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{{stats}} |
{{stats}} |
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− | |||
[[de:Zähigkeit]] |
[[de:Zähigkeit]] |
Latest revision as of 02:49, 23 February 2024
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 stacks either multiplicatively or additively, depending on the combination of the effects.
Tenacity can be increased (self- or ally-sourced) and decreased (enemy-sourced) from abilities, buffs, items, runes, and summoner spells.
Increasing tenacity
Items
This table is automatically generated based on the data from Module:ItemData/data.
Consumables
Champion abilities
Runes
Summoner Spells
Neutral Buffs
Game Modes
- ARAM (Champion-specific)
- Ultra Rapid Fire
- Ultimate Spellbook
Decreasing tenacity
Note that tenacity can have negative values, which will cause incoming disables to last longer.
Champion Abilities
- Brittle, a unique status effect that reduces targets' tenacity by 30%. and apply
Items
- Brittle for a total of -50% tenacity. reduces the Nemesis' tenacity by 20% while at maximum stacks of Vendetta. This stacks additively with
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.
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 owns Brittle's tenacity reduction. The sum of their tenacity is calculated as follows:
and has at maximum stacks, and a nearby enemy champion affects them with- Group A Tenacity modifiers = ×
- Group C Tenacity modifier = -30%
- Final Tenacity = (1 - ((1 - Group C Tenacity modifier ) × (1 - )) Group A Tenacity modifiers +
- = (1 - ((1 - -0.3 ) × (1 - )) +
- = (1 - (0.7 × 0.8)) + -0.3
- = 0.44 + -0.3 = 14%
Trivia
- Until patch V1.0.0.118, Tenacity was an unnamed effect unique to . That patch promoted the effect to a champion statistic and added three new items: , and (all later removed). Tenacity from multiple sources did not stack, similar to 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 V3.01, it shared the same icon as the Tenacious mastery. As of V3.01, it no longer has an icon in the buff bar. and passive. Between the introduction of season 3 changes and
- Prior to the Preseason of 2021, a website news post was made that announced that Tenacity would reduce the duration of knockups. However, the change was confirmed to have been cancelled.[1]
- Prior to his VGU in patch V11.12, granted himself 30% Tenacity which was additive with other "Champion Tenacity" buffs such as Brittle.
- Prior to V3.04, granted himself 10 / 15 / 20% Tenacity.
- Prior to patch V12.22, Mythic passive granted 5% Tenacity per Legendary item which was additive with other "Buff Tenacity" buffs such as and .
- On patch V12.22 it became possible to reach 100% tenacity by combining (30%) (active) (50%) and with 4 other legendary items (20%), which are additive with one another. Until V12.23 it was even possible to reach 120% Tenacity by including , which was also additive with these sources.
- After V13.3, the highest amount of tenacity was changed to 100% since combinations of effects in different groups were made to be additive.
- Examples of combinations that can reach the cap (V13.18):
- and [60% + 50% = 110%]
- , and [60% + (1 - 0,7 * 0,8) = 104%]
- , and [30% + (1 - 0,35 * 0,5) = 112,5%]
- , and [50% + (1 - 0,7 * 0,7) = 101%]
- Examples of combinations that can reach the cap (V13.18):