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(Attack speed list are right now)
(added jhin passive)
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{{TOCright}}'''Attack speed''' ('''AS''' or '''ASPD''') is a [[Champion statistic|stat]] that is the frequency of a unit's basic attacks. They are measured and displayed as attacks per second.
 
{{TOCright}}'''Attack speed''' ('''AS''' or '''ASPD''') is a [[Champion statistic|stat]] that is the frequency of a unit's basic attacks. They are measured and displayed as attacks per second.
   
Each champion starts with a certain '''base''' attack speed. Additional bonus '''attack speed''' can be obtained through [[Experience (champion)|level-up]] or with a variety of [[item]]s, [[Champion ability|abilities]] and [[rune]]s. Some champions can even start with [[:Category:Champions with bonus attack speed at level 1|bonus attack speed at level 1]], however it does not count as bonus attack speed. Bonus '''attack speed''' [[Stacking|stacks additively]], and each bonus point acquired directly affects its statistic. '''Bonus''' attack speed is a percentage of the '''base''' attack speed, therefore, champions with higher base attack speed benefit more from bonus attack speed.
+
Each champion starts with a certain attack speed '''ratio''', which is also the value given by default to their '''base''' attack speed (attack speed at level 1 without any other '''bonuses'''). Some champions can start with a [[:Category:Champions with bonus attack speed at level 1|base attack speed]] different from their attack speed '''ratio'''. Additional bonus '''attack speed''' can be obtained through [[Experience (champion)|level-up]] or with a variety of [[item]]s, [[Champion ability|abilities]] and [[rune]]s. Bonus '''attack speed''' [[Stacking|stacks additively]], and each bonus point acquired directly affects its statistic. '''Bonus''' attack speed is a percentage of the attack speed '''ratio''', therefore, champions with higher ratio benefit more from bonus attack speed.
   
'''Attack speed is capped at {{fd|2.5}} attacks per second''' ''(or 1 attack every {{fd|0.4}} seconds)'', but it can be removed with certain effects.
+
'''Attack speed is capped at {{fd|2.5}} attacks per second''' ''(or 1 attack every {{fd|0.4}} seconds)''. It also cannot be reduced below a floor of {{fd|0.2}} ''(or 1 attack every {{fd|5}} seconds)''. The values of these restrictions can be altered by certain effects.
   
{{gold value}}​​​​
+
{{gold value}}​​​​​​​
* '''Attack speed''' has a gold value of {{g|25}} per point.
+
* '''Attack speed''' has a gold value of {{g|{{Gold value math/var}}{{#var:as}}}} per point.
   
 
== Calculations ==
 
== Calculations ==
 
=== Bonus attack speed per level ===
 
=== Bonus attack speed per level ===
Champions gain an attack speed percentage every time they level up, which ranges from roughly '''0 - 6%''' (the exact number depending on the specific champion) and can be calculated through the [[Champion statistic#Growth statistic per level|statistics growth formula]].
+
Champions gain {{as|'''bonus''' attack speed %}} every time they level up, which ranges from roughly '''0 - 6%''' (the exact number depending on the specific champion) and can be calculated through the [[Champion statistic#Growth statistic per level|statistics growth formula]].
   
 
Bonus AS% [[Stacking|stacks additively]].
 
Bonus AS% [[Stacking|stacks additively]].
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'''Notes:'''
 
'''Notes:'''
* Final attack speed cannot go above the cap of '''{{fd|2.5}} attacks per second'''.
+
* Final attack speed cannot go above the cap of '''{{fd|2.5}} attacks per second''', unless it is ignored by some effects.
 
* Many in-game tooltip percentages (such as runes) have been rounded, so results may be slightly different unless the precise numbers are known.
 
* Many in-game tooltip percentages (such as runes) have been rounded, so results may be slightly different unless the precise numbers are known.
   
 
===Example===
 
===Example===
  +
<!-- Accurate as of V9.23 -->
* {{cis|Twisted Fate}} base attack speed is {{fd|0.651}}.
 
  +
* {{cis|Twisted Fate}} base attack speed and attack speed ratio are both {{fd|{{#vardefineecho:base|{{ccd|Twisted Fate|as_base}}}}}}.
 
* Calculating "bonus attack speed":
 
* Calculating "bonus attack speed":
** Every time {{ci|Twisted Fate}} levels up, he gains bonus AS% based on his percentage growth {{fd|3.22}}% and his level through the [[Champion statistic#Growth statistic per level|statistics growth formula]].
+
** Every time {{ci|Twisted Fate}} levels up, he gains bonus AS% based on his percentage growth {{fd|{{#vardefineecho:growthlevel|{{ccd|Twisted Fate|as_lvl}}}}}}% and his level through the [[Champion statistic#Growth statistic per level|statistics growth formula]].
*** At level 10 he has gained <math>\pagecolor{Black}\color{White}3.22\%\times(10-1)\times(0.7025+0.0175\times(10-1))=24.9228\%</math> as bonus AS%.
+
*** At level 10 he has gained {{tt|{{fd|{{#var:growthlevel}}}}%|Bonus attack speed per level}}{{times}}{{tt|9|Number of times leveled up}}{{times}}(0.7025 + 0.0175{{times}}{{tt|9|Number of times leveled up}}) = {{fd|{{#vardefineecho:bonuslevel|{{#expr:{{#var:growthlevel}}*9*(0.7025+0.0175*9)}}}}}}% as bonus AS%.
** Let's say he has maxed {{ai|Stacked Deck|Twisted Fate}} increasing his attack speed by 30%.
+
** Let's say he has maxed {{ai|Stacked Deck|Twisted Fate}} increasing his attack speed by 40%.
 
** He also has the {{ri|Legend: Alacrity}} rune to 3%.
 
** He also has the {{ri|Legend: Alacrity}} rune to 3%.
 
** And he has {{ii|Stinger}}: +35%.
 
** And he has {{ii|Stinger}}: +35%.
** All together he has: {{fd|24.9228}}% + 30% + 3% + 35% = {{fd|92.9228}}% bonus AS% or {{fd|0.929228}} bonus AS as a decimal.
+
** All together he has: {{tt|{{fd|{{#var:bonuslevel}}}}%|Total bonus attack speed gained through leveling up.}} + {{tt|40%|Stacked Deck.}} + {{tt|3%|Legend: Alacrity}} + {{tt|35%|Stinger}} = {{fd|{{#vardefineecho:totalbonus|{{#expr:{{#var:bonuslevel}}+40+3+35}}}}}}% bonus AS%.
 
* Final calculation:
 
* Final calculation:
  +
*: ''<span style="font-size:larger;">'''{{#var:base}}{{times}}(1 + {{#var:totalbonus}}{{divided by}}100)<br />≈ {{#expr:{{#var:base}}*(1+{{#var:totalbonus}}/100)}}'''</span>''
*: <math>\pagecolor{Black}\color{White}\begin{align} & 0.651 \times (1 + 0.929228) \\ \approx & 1.255927 \end{align}</math>
 
** In game, the number will be shown as: {{fd|1.256}}.
+
** In game, the number will be shown as: {{fd|{{#expr:{{#var:base}}*(1+{{#var:totalbonus}}/100) round 3}}}}.
   
== Removing the attack speed cap ==
+
== Exceeding or altering the attack speed cap ==
The following game elements can remove the {{fd|2.5}}-attacks per second cap, potentially allowing infinite amounts of attacks per second.
 
   
 
The following game elements will exceed or alter the {{fd|2.5}}-attacks-per-second cap:
=== Champions ===
 
  +
  +
===Removing the cap===
  +
  +
Effects that remove the attack speed cap allow characters to fire basic attacks at rates higher than {{fd|2.5}}, given high enough attack speed bonuses. The cap is technically increased to {{fd|90.0}} for the duration, however limits to the game itself only allow for up to 30 attacks per second, or one per frame.
  +
 
==== Champions ====
 
* {{cai|Get Excited!|Jinx}}
 
* {{cai|Get Excited!|Jinx}}
* {{cai|Purge|Urgot}}
 
   
=== Runes ===
+
==== Runes ====
 
* {{ri|Hail of Blades}}
 
* {{ri|Hail of Blades}}
 
* {{ri|Lethal Tempo}}
 
* {{ri|Lethal Tempo}}
  +
 
===Fixed attack speed above the cap===
  +
====Champions====
  +
* {{cai|Purge|Urgot}} - This has a fixed attack speed of {{fd|3.0}}. It does not interact with bonuses nor the attack speed stat itself.
  +
  +
===Reducing the cap===
  +
====Champions====
  +
  +
* {{cai|New Destiny|Graves}} - Special attack cooldown and attack speed calculation - cannot reach 2.5 attack speed.
  +
* {{cai|Whisper|Jhin}} - Always fixed to his base attack speed + innate attack speed growth, thus can never reach 2.5 attack speed.
  +
* {{cai|Glory in Death|Sion}} - Reduces the cap to {{fd|1.75}} and increases the floor to {{fd|1.75}} until the effect ends. Effects that remove the attack speed cap (see above) still allow exceeding the cap.
   
 
== Attack speed as scaling ==
 
== Attack speed as scaling ==
 
The major part of champion abilities that use attack speed will scale with '''base''' attack speed. But some abilities scale with the total or bonus attack speed the champion has.
 
The major part of champion abilities that use attack speed will scale with '''base''' attack speed. But some abilities scale with the total or bonus attack speed the champion has.
  +
  +
Note that any (bonus) attack speed exceeding the '''attack speed cap''' will still improve these ability scalings, as they are not depending on the absolute attack speed stat.
   
 
=== Champions ===
 
=== Champions ===
* {{cai|Get Excited!|Jinx}}
+
* {{cai|Whisper|Jhin}}
  +
* {{cai|Get Excited!|Jinx}} and {{ai|Zap!|Jinx}}
 
* {{cai|Supercharge|Kai'Sa}}
 
* {{cai|Supercharge|Kai'Sa}}
 
* {{cai|Bravado|Taric}}
 
* {{cai|Bravado|Taric}}
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== Increasing attack speed ==
 
== Increasing attack speed ==
=== Items ===
+
===Items===
  +
==== Flat Attack Speed ====
 
{{stat table header|item}}{{Do for every item|item table row|p1n=2|p1v=as}}
 
{{stat table header|item}}{{Do for every item|item table row|p1n=2|p1v=as}}
 
{{stat table footer}}
 
{{stat table footer}}
  +
* {{ii|Ardent Censer}}
 
  +
==== Conditional Attack Speed ====
* {{ii|Guinsoo's Rageblade}}
 
  +
{| class="wikitable sortable" style="width: 90%; margin-left: 5%; text-align: center;"
* {{ii|Spear of Shojin}}
 
  +
|-
  +
! style="width: 44%;" |Item
  +
! style="width: 14%;" |Cost
  +
! style="width: 16%;" |Total Amount
  +
! Availability
  +
|-
 
| style="text-align: left;"| {{ii|Ardent Censer}}
  +
| style="text-align: right;"| {{g|2300|label=before}}
  +
| data-sort-value="30%"|{{tt|10% - 30%|Based on Target's Level}}
  +
| {{tt|All maps|Available on all maps}}
  +
|-
 
| style="text-align: left;"| {{ii|Guinsoo's Rageblade}}
  +
| style="text-align: right;"| {{g|3100|label=before}}
  +
| data-sort-value="73%"|{{tt|25% - 73%|Based on stacks}}
  +
| {{tt|All maps|Available on all maps}}
  +
|-
  +
| style="text-align: left;"| {{ii|Sanguine Blade}}
  +
| style="text-align: right;" | {{g|3100|label=before}}
  +
| data-sort-value="80%"|{{tt|20% - 80%|Based on Level}}
  +
| {{tt|All maps|Available on all maps}}
 
|}
   
 
=== Champion abilities ===
 
=== Champion abilities ===
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* {{cai|Primal Surge|Nidalee}}
 
* {{cai|Primal Surge|Nidalee}}
 
* {{cai|Call of the Freljord|Nunu}}
 
* {{cai|Call of the Freljord|Nunu}}
  +
* {{cai|Zoomies|Yuumi}}
 
}}
 
}}
   
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* {{cai|Blood Rush|Draven}}
 
* {{cai|Blood Rush|Draven}}
 
* {{cai|Skittering Frenzy|Elise}}
 
* {{cai|Skittering Frenzy|Elise}}
* {{cai|Rising Spell Force|Ezreal}}
 
 
* {{cai|Bladework|Fiora}}
 
* {{cai|Bladework|Fiora}}
 
* {{cai|Rage Gene|Gnar}} and {{ai|Hop|Gnar}}
 
* {{cai|Rage Gene|Gnar}} and {{ai|Hop|Gnar}}
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* {{cai|Get Excited!|Jinx}} and {{ai|Pow-Pow|Jinx}}
 
* {{cai|Get Excited!|Jinx}} and {{ai|Pow-Pow|Jinx}}
 
* {{cai|Supercharge|Kai'Sa}}
 
* {{cai|Supercharge|Kai'Sa}}
  +
* {{cai|Divine Ascent|Kayle}}
 
* {{cai|Lightning Rush|Kennen}}
 
* {{cai|Lightning Rush|Kennen}}
 
* {{cai|Violent Tendencies|Kled}}
 
* {{cai|Violent Tendencies|Kled}}
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* {{cai|Twilight Assault|Shen}}
 
* {{cai|Twilight Assault|Shen}}
 
* {{cai|On the Hunt|Sivir}}
 
* {{cai|On the Hunt|Sivir}}
  +
* {{cai|Crystal Spires|Skarner}}
  +
* {{cai|Petricite Burst|Sylas}}
 
* {{cai|Bravado|Taric}}
 
* {{cai|Bravado|Taric}}
 
* {{cai|Guerrilla Warfare|Teemo}}
 
* {{cai|Guerrilla Warfare|Teemo}}
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* {{cai|Blood Hunt|Warwick}}
 
* {{cai|Blood Hunt|Warwick}}
 
* {{cai|Nimbus Strike|Wukong}}
 
* {{cai|Nimbus Strike|Wukong}}
  +
* {{cai|Deadly Plumage|Xayah}}
 
* {{cai|Audacious Charge|Xin Zhao}}}}
 
* {{cai|Audacious Charge|Xin Zhao}}}}
   
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* {{ri|Lethal Tempo}}
 
* {{ri|Lethal Tempo}}
 
* {{ri|Legend: Alacrity}}
 
* {{ri|Legend: Alacrity}}
  +
* [[File:Rune shard Attack Speed.png|20px|link=Runes Reforged#Shards]] [[Runes Reforged#Shards|Attack speed rune shard]]
 
}}
 
}}
   
 
== Decreasing attack speed ==
 
== Decreasing attack speed ==
 
{{main|Types of Crowd Control#Cripple}}Attack speed reductions [[Stacking#Stacks multiplicatively|stack multiplicatively]] and take percentages off the final attack speed value after all bonus attack speed has been factored in. Attack speed reductions are affected by [[Tenacity]], but not by [[Slow resist]].
 
{{main|Types of Crowd Control#Cripple}}Attack speed reductions [[Stacking#Stacks multiplicatively|stack multiplicatively]] and take percentages off the final attack speed value after all bonus attack speed has been factored in. Attack speed reductions are affected by [[Tenacity]], but not by [[Slow resist]].
  +
 
=== Champion abilities ===
 
* {{cai|Riposte|Fiora}}
 
* {{cai|Ground Slam|Malphite}}
 
* {{cai|Realm of Death|Mordekaiser}}
 
* {{cai|Wither|Nasus}}
   
 
=== Items ===
 
=== Items ===
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* {{ii|Warden's Mail}}
 
* {{ii|Warden's Mail}}
   
 
== Champions with altered base attack speed at level 1 ==
=== Champion abilities ===
 
* {{cai|Riposte|Fiora}}
 
* {{cai|Ground Slam|Malphite}}
 
* {{cai|Wither|Nasus}}
 
 
== Capped attack speed ==
 
The majority of champions are capped at {{fd|2.5}} attacks per second. But some champion abilities make it impossible to reach that cap:
 
* {{cai|New Destiny|Graves}}
 
* {{cai|Whisper|Jhin}}
 
* {{cai|Glory in Death|Sion}}
 
 
== Champions with bonus attack speed at level 1 ==
 
 
{{column|3|
 
{{column|3|
 
<DPL>
 
<DPL>
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== List of champions' attack speed ==
 
== List of champions' attack speed ==
 
{{main|List of champions' attack speed}}
 
{{main|List of champions' attack speed}}
{{Highest lowest stats|attack speed
+
{{Highest lowest stats|attack speed}}
|top1lvl1 = Maokai
 
|bottom1lvl1 = Graves
 
|top2lvl1 = Shen
 
|bottom2lvl1 = Illaoi
 
|top3lvl1 = Amumu,Malphite,Zac
 
|bottom3lvl1 = Annie
 
|top4lvl1 = Master Yi
 
|bottom4lvl1 = Mordekaiser
 
|top5lvl1 = Nocturne
 
|bottom5lvl1 = Singed
 
|top1lvl18 = Gnar
 
|bottom1lvl18 = Graves
 
|top2lvl18 = Kalista
 
|bottom2lvl18 = Annie
 
|top3lvl18 = Malphite
 
|bottom3lvl18 = Darius,Jinx
 
|top4lvl18 = Kennen
 
|bottom4lvl18 = Blitzcrank
 
|top5lvl18 = Teemo
 
|bottom5lvl18 = Heimerdinger,Brand,Aurelion Sol,Vel'Koz, Xerath,Taliyah
 
}}
 
   
 
== Notes ==
 
== Notes ==
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== Trivia ==
 
== Trivia ==
  +
* The old stat icon for [[File:Stat_icon_attack_speed.jpg]] '''attack speed''' was an edited red recolor of the icon of {{ii|Stinger}}.
'''''Last updated:''' October 15, 2018 – [[V8.20]]''
 
  +
* The most attack speed a champion can have is '''{{fd|9.81875}}''' with a level 18 {{ci|Taric}}.
 
  +
----
  +
 
'''''Last updated:''' December 8, 2019 – [[V9.23]]''
 
* The most '''attack speed''' a champion can have is '''{{fd|10.125}}''' with a level 18 {{ci|Taric}}.
  +
<!-- If the above conditions are true, and Taric still has 0.625 base attack speed, 34% scaling at lv 18, and 200% TOTAL attack speed through Bravado, and Jayce still has 0.658 base attack speed, 51% scaling at lv 18, and 300% bonus attack speed from Hyper Charge, and attack speed from all mutual sources (Items, Runes, and Allied champion buffs) is greater than 233.44%, Taric is better.
  +
0.625 * (1 + 0.34 + X) * 2 = 0.658 * (1 + 3 + 0.51 + X)
  +
Where X = Attack Speed from mutual sources, left of the equals sign is for Taric, and right is for Jayce. Solving the equation will tell you the minimum bonus attack speed from mutual sources needed to make Taric attack faster than Jayce-->
 
* {{sbc|Base AS:}} {{fd|0.625}} AS
 
* {{sbc|Base AS:}} {{fd|0.625}} AS
 
* {{sbc|Items:}}
 
* {{sbc|Items:}}
 
** One {{ii|Guinsoo's Rageblade}}
 
** One {{ii|Guinsoo's Rageblade}}
** Five {{ii|Nashor's Tooth}}
+
** One {{ii|Sanguine Blade}}
  +
** Four {{ii|Nashor's Tooth}}
 
* {{sbc|Runes:}}
 
* {{sbc|Runes:}}
 
** {{ri|Hail of Blades}} or {{ri|Lethal Tempo}}
** {{ri|Trait: Domination}} ([[File:Precision icon.png|20px|link=]] Precision secondary)
 
** {{ri|Hail of Blades}}
 
 
** {{ri|Legend: Alacrity}}
 
** {{ri|Legend: Alacrity}}
  +
** [[File:Rune shard Attack Speed.png|20px|link=Runes Reforged#Shards]] [[Runes Reforged#Shards|Attack speed rune shard]]
 
* {{sbc|Buffs:}}
 
* {{sbc|Buffs:}}
 
** {{cai|Primal Surge|Nidalee}}
 
** {{cai|Primal Surge|Nidalee}}
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* '''Relevant mathematics:'''
 
* '''Relevant mathematics:'''
 
** {{cis|Taric}} '''total''' AS:
 
** {{cis|Taric}} '''total''' AS:
*** '''Items''' = {{ii|Guinsoo's Rageblade|73%}} + {{ii|Nashor's Tooth|5{{times}}50%}} = {{as|323% '''bonus''' AS|attack speed}}
+
*** '''Items''' = {{ii|Guinsoo's Rageblade|73%}} + {{ii|Sanguine Blade|80%}} +{{ii|Nashor's Tooth|4{{times}}50%}} = {{as|353% '''bonus''' AS|attack speed}}
*** '''Runes''' = {{ri|Trait: Domination|5.5%}} + {{ri|Hail of Blades|125%}} + {{ri|Legend: Alacrity|18%}} = {{as|148.5% '''bonus''' AS|attack speed}}
+
*** '''Runes''' = {{ri|Hail of Blades|110%}} + {{ri|Legend: Alacrity|18%}} + [[File:Rune shard Attack Speed.png|20px|link=Runes Reforged#Shards]] [[Runes Reforged#Shards|10%]] = {{as|138% '''bonus''' AS|attack speed}}
*** '''Buffs''' = {{ai|Primal Surge|Nidalee|60%}} + {{ai|Whimsy|Lulu|45%}} + {{ai|Demacian Standard|Jarvan IV|25%}} + {{ai|Call of the Freljord|Nunu|20%}} + {{ii|Ardent Censer|30%}} + {{ci|Taric|34%}} = {{as|214% '''bonus''' AS|attack speed}}
+
*** '''Buffs''' = {{ai|Primal Surge|Nidalee|60%}} + {{ai|Whimsy|Lulu|45%}} + {{ai|Demacian Standard|Jarvan IV|30%}} + {{ai|Call of the Freljord|Nunu|20%}} + {{ii|Ardent Censer|30%}} + {{ci|Taric|34%}} = {{as|219% '''bonus''' AS|attack speed}}
** {{cis|Taric}} '''total''' AS = ({{fd|0.625}}{{times}}(1 + {{tt|{{fd|3.23}}|Items}} + {{tt|{{fd|1.485}}|Runes}} + {{tt|{{fd|2.14}}|Buffs}})){{times}}{{ai|Bravado|Taric|2}} = {{as|{{fd|9.81875}} '''total''' AS|attack speed}}
+
** {{cis|Taric}} '''total''' AS = ({{fd|0.625}}{{times}}(1 + {{tt|{{fd|3.53}}|Items}} + {{tt|{{fd|1.38}}|Runes}} + {{tt|{{fd|2.19}}|Buffs}})){{times}}{{ai|Bravado|Taric|2}} = {{as|{{fd|10.125}} '''total''' AS|attack speed}}
   
 
----
 
----
   
'''''Last updated:''' October 15, 2018 – [[V8.20]]''
+
'''''Last updated:''' December 8, 2019 – [[V9.23]]''
* The most attack speed a champion can reach at level 1 with the initial {{g|500}} is '''{{fd|3.44375}}''' with {{ci|Taric}}.
+
* The most attack speed a champion can reach at level 1 with the initial {{g|500}} is '''{{fd|4.0796}}''' with {{ci|Jayce}}.
  +
<!-- If the above conditions are true, and Taric still has 0.625 base attack speed and 200% TOTAL attack speed through Bravado, and Jayce still has 0.658 base attack speed and 300% bonus attack speed from Hyper Charge, and attack speed from all mutual sources (Items, Runes, and Allied champion buffs) is greater than 233.44%, Taric is better.
* {{sbc|Base AS:}} {{fd|0.625}} AS
 
  +
0.625 * (1 + X) * 2 = 0.658 * (1 + 3 + X)
  +
Where X = Attack Speed from mutual sources, left of the equals sign is for Taric, and right is for Jayce. Solving the equation will tell you the minimum bonus attack speed from mutual sources needed to make Taric attack faster than Jayce-->
 
* {{sbc|Base AS:}} {{fd|0.658}} AS
 
* {{sbc|Item:}}
 
* {{sbc|Item:}}
 
** One {{ii|Dagger}}
 
** One {{ii|Dagger}}
 
* {{sbc|Runes:}}
 
* {{sbc|Runes:}}
** {{ri|Trait: Domination}} ([[File:Precision icon.png|20px|link=]] Precision secondary)
 
 
** {{ri|Hail of Blades}}
 
** {{ri|Hail of Blades}}
 
** {{ri|Legend: Alacrity}} (no stack)
 
** {{ri|Legend: Alacrity}} (no stack)
  +
** [[File:Rune shard Attack Speed.png|20px|link=Runes Reforged#Shards]] [[Runes Reforged#Shards|Attack speed rune shard]]
 
* {{sbc|Buffs:}}
 
* {{sbc|Buffs:}}
 
** {{cai|Whimsy|Lulu}}
 
** {{cai|Whimsy|Lulu}}
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** {{cai|Call of the Freljord|Nunu}}
 
** {{cai|Call of the Freljord|Nunu}}
 
** {{cai|Demacian Standard|Jarvan IV}}
 
** {{cai|Demacian Standard|Jarvan IV}}
* {{sbc|AS Amplification:}}
+
** {{cai|Hyper Charge|Jayce}}
** {{cai|Bravado|Taric}}
 
 
* '''Relevant mathematics:'''
 
* '''Relevant mathematics:'''
** {{cis|Taric}} '''total''' AS:
+
** {{cis|Jayce}} '''total''' AS:
 
*** '''Items''' = {{ii|Dagger|12%}} = {{as|12% '''bonus''' AS|attack speed}}
 
*** '''Items''' = {{ii|Dagger|12%}} = {{as|12% '''bonus''' AS|attack speed}}
*** '''Runes''' = {{ri|Trait: Domination|5.5%}} + {{ri|Hail of Blades|75%}} + {{ri|Legend: Alacrity|3%}} = {{as|83.5% '''bonus''' AS|attack speed}}
+
*** '''Runes''' = {{ri|Hail of Blades|110%}} + {{ri|Legend: Alacrity|3%}} + [[File:Rune shard Attack Speed.png|20px|link=Runes Reforged#Shards]] [[Runes Reforged#Shards|10%]] = {{as|123% '''bonus''' AS|attack speed}}
*** '''Buffs''' = {{ai|Whimsy|Lulu|25%}} + {{ai|Primal Surge|Nidalee|20%}} + {{ai|Call of the Freljord|Nunu|20%}} + {{ai|Demacian Standard|Jarvan IV|15%}} = {{as|80% '''bonus''' AS|attack speed}}
+
*** '''Buffs''' = {{ai|Whimsy|Lulu|25%}} + {{ai|Primal Surge|Nidalee|20%}} + {{ai|Call of the Freljord|Nunu|20%}} + {{ai|Demacian Standard|Jarvan IV|20%}} + {{ai|Hyper Charge|Jayce|300%}} = {{as|385% '''bonus''' AS|attack speed}}
** {{cis|Taric}} '''total''' AS = ({{fd|0.625}}{{times}}(1 + {{tt|{{fd|0.12}}|Items}} + {{tt|{{fd|0.835}}|Runes}} + {{tt|{{fd|0.8}}|Buffs}})){{times}}{{ai|Bravado|Taric|2}} = {{as|{{fd|3.44375}} '''total''' AS|attack speed}}
+
** {{cis|Jayce}} '''total''' AS = ({{fd|0.658}}{{times}}(1 + {{tt|{{fd|0.12}}|Items}} + {{tt|{{fd|1.23}}|Runes}} + {{tt|{{fd|3.85}}|Buffs}})) = {{as|{{fd|4.0796}} '''total''' AS|attack speed}}
   
 
{{clr}}
 
{{clr}}

Revision as of 13:25, 24 March 2020

Attack speed (AS or ASPD) is a stat that is the frequency of a unit's basic attacks. They are measured and displayed as attacks per second.

Each champion starts with a certain attack speed ratio, which is also the value given by default to their base attack speed (attack speed at level 1 without any other bonuses). Some champions can start with a base attack speed different from their attack speed ratio. Additional bonus attack speed can be obtained through level-up or with a variety of items, abilities and runes. Bonus attack speed stacks additively, and each bonus point acquired directly affects its statistic. Bonus attack speed is a percentage of the attack speed ratio, therefore, champions with higher ratio benefit more from bonus attack speed.

Attack speed is capped at 2.5 attacks per second (or 1 attack every 0.4 seconds). It also cannot be reduced below a floor of 0.2 (or 1 attack every 5 seconds). The values of these restrictions can be altered by certain effects.

Gold Value ​​​​​​​

  • Attack speed has a gold value of Template:Gold value math/var Gold Template:Gold value math/var per point.

Calculations

Bonus attack speed per level

Champions gain bonus attack speed % every time they level up, which ranges from roughly 0 - 6% (the exact number depending on the specific champion) and can be calculated through the statistics growth formula.

Bonus AS% stacks additively.

Example: Stinger Stinger grants +35% attack speed and Nashor's Tooth Nashor's Tooth grants +50% attack speed, so the champion gains +85% in total.

Notes:

  • Final attack speed cannot go above the cap of 2.5 attacks per second, unless it is ignored by some effects.
  • Many in-game tooltip percentages (such as runes) have been rounded, so results may be slightly different unless the precise numbers are known.

Example

  • Twisted Fate's Twisted Fate's base attack speed and attack speed ratio are both 0.625.
  • Calculating "bonus attack speed":
    • Every time Twisted Fate Twisted Fate levels up, he gains bonus AS% based on his percentage growth 2.5% and his level through the statistics growth formula.
      • At level 10 he has gained 2.5% × 9 × (0.7025 + 0.0175 × 9) = 19.35% as bonus AS%.
    • Let's say he has maxed Stacked Deck Stacked Deck increasing his attack speed by 40%.
    • He also has the Legend: Alacrity Legend: Alacrity rune to 3%.
    • And he has Stinger Stinger: +35%.
    • All together he has: 19.35% + 40% + 3% + 35% = 97.35% bonus AS%.
  • Final calculation:
    0.625 × (1 + 97.35 ÷ 100)
    ≈ 1.2334375
    • In game, the number will be shown as: 1.233.

Exceeding or altering the attack speed cap

The following game elements will exceed or alter the 2.5-attacks-per-second cap:

Removing the cap

Effects that remove the attack speed cap allow characters to fire basic attacks at rates higher than 2.5, given high enough attack speed bonuses. The cap is technically increased to 90.0 for the duration, however limits to the game itself only allow for up to 30 attacks per second, or one per frame.

Champions

Runes

Fixed attack speed above the cap

Champions

  • Urgot's Urgot's Purge Purge - This has a fixed attack speed of 3.0. It does not interact with bonuses nor the attack speed stat itself.

Reducing the cap

Champions

  • Graves' Graves' New Destiny New Destiny - Special attack cooldown and attack speed calculation - cannot reach 2.5 attack speed.
  • Jhin's Jhin's Whisper Whisper - Always fixed to his base attack speed + innate attack speed growth, thus can never reach 2.5 attack speed.
  • Sion's Sion's Glory in Death Glory in Death - Reduces the cap to 1.75 and increases the floor to 1.75 until the effect ends. Effects that remove the attack speed cap (see above) still allow exceeding the cap.

Attack speed as scaling

The major part of champion abilities that use attack speed will scale with base attack speed. But some abilities scale with the total or bonus attack speed the champion has.

Note that any (bonus) attack speed exceeding the attack speed cap will still improve these ability scalings, as they are not depending on the absolute attack speed stat.

Champions

Increasing attack speed

Items

Flat Attack Speed

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Conditional Attack Speed

Item Cost Total Amount Availability
Ardent Censer Ardent Censer 2300 2300 Gold 10% - 30% All maps
Guinsoo's Rageblade Guinsoo's Rageblade 3100 3100 Gold 25% - 73% All maps
Sanguine Blade Sanguine Blade 3100 3100 Gold 20% - 80% All maps

Champion abilities

Ally-targeted

User only

Runes

Decreasing attack speed

Attack speed reductions stack multiplicatively and take percentages off the final attack speed value after all bonus attack speed has been factored in. Attack speed reductions are affected by Tenacity, but not by Slow resist.

Champion abilities

Items

Champions with altered base attack speed at level 1

List of champions' attack speed

Champions with the lowest or highest attack speed before items, runes, or abilities
Champion Level Top 5 champions Bottom 5 champions
Level 1 1. Bel'Veth Bel'Veth 0.85 AS 1. Graves Graves 0.475 AS
2. Maokai Maokai 0.8 AS 2. Annie Annie 0.61 AS
3. Shen Shen 0.751 AS 3. Diana Diana
3. Fiddlesticks Fiddlesticks
3. Mega Gnar Mega Gnar
3. Karma Karma
3. Soraka Soraka
3. Sivir Sivir
3. Lulu Lulu
3. Gnar Gnar
3. Lillia Lillia
3. Renata Glasc Renata Glasc
3. Rell Rell
3. Kled Kled
3. Cho'Gath Cho'Gath
3. Azir Azir
3. Senna Senna
3. Galio Galio
3. Talon Talon
3. Kennen Kennen
3. Malzahar Malzahar
3. Jinx Jinx
3. Twisted Fate Twisted Fate
3. Ezreal Ezreal
3. K'Sante K'Sante
3. Neeko Neeko
3. Jhin Jhin
3. Riven Riven
3. Ornn Ornn
3. Kayle Kayle
3. Singed Singed
3. Yorick Yorick
3. Yuumi Yuumi
3. Volibear Volibear
3. Taric Taric
3. Kindred Kindred
3. Yone Yone
3. Mordekaiser Mordekaiser
3. Sett Sett
3. Urgot Urgot
3. Janna Janna
3. Milio Milio
3. Veigar Veigar
3. Thresh Thresh
3. Alistar Alistar
3. Morgana Morgana
3. Garen Garen
3. Illaoi Illaoi
3. Skarner Skarner
3. Akali Akali
3. Blitzcrank Blitzcrank
3. Swain Swain
3. Leona Leona
3. Nunu & Willump Nunu & Willump
3. Karthus Karthus
3. Aurelion Sol Aurelion Sol
3. Darius Darius
3. Elise Elise
3. Kled & Skaarl Kled & Skaarl
3. Poppy Poppy
0.625 AS
4. Malphite Malphite
4. Amumu Amumu
4. Zac Zac
0.736 AS 4. Rakan Rakan 0.635 AS
5. Nocturne Nocturne 0.721 AS 5. Warwick Warwick
5. Nidalee Nidalee
5. Corki Corki
5. Nasus Nasus
5. Jax Jax
5. Lucian Lucian
5. Smolder Smolder
5. Akshan Akshan
0.638 AS
Level 18 1. Azir Azir 1.333 AS 1. Mega Gnar Mega Gnar 0.678 AS
2. Gnar Gnar 1.263 AS 2. Graves Graves 0.692 AS
3. Kalista Kalista 1.225 AS 3. Jinx Jinx
3. Darius Darius
3. Yuumi Yuumi
3. Mordekaiser Mordekaiser
0.731 AS
4. Varus Varus 1.105 AS 4. Blitzcrank Blitzcrank 0.745 AS
5. Malphite Malphite 1.105 AS 5. Annie Annie 0.755 AS

Notes

Trivia

  • The old stat icon for Stat icon attack speed attack speed was an edited red recolor of the icon of Stinger Stinger.

Last updated: December 8, 2019 – V9.23


Last updated: December 8, 2019 – V9.23

References