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m (Added Irelia and Kai'Sa to the list of abilities that increase attack speed.)
m (Calculations: 'also' is not correct grammar here, as Stinger does not grant 50% attack speed like Nashor's Tooth does.)
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Bonus AS% [[Stacking|stacks additively]].
 
Bonus AS% [[Stacking|stacks additively]].
   
:''Example: {{ii|Stinger}} grants +35% attack speed and {{ii|Nashor's Tooth}} also grants +50% attack speed, so the champion gains +85% in total.''
+
:''Example: {{ii|Stinger}} grants +35% attack speed and {{ii|Nashor's Tooth}} grants +50% attack speed, so the champion gains +85% in total.''
   
 
'''Notes:'''
 
'''Notes:'''
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* Calculating "bonus attack speed":
 
* Calculating "bonus attack speed":
 
** Every time {{ci|Twisted Fate}} levels up, he gains bonus AS% based on percentage growth 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 percentage growth 3.22% and his level through the [[Champion statistic#Growth statistic per level|statistics growth formula]].
*** At level 18 he has gained <math>\pagecolor{Black}\color{White}3.22\% \times\left({7 \over 400}\times(18^2-1)+{267\over400}\times(18-1)\right)=54.74\%</math> as bonus AS%.
+
*** At level 18 he has gained<math>\pagecolor{Black}\color{White}3.22\% \times\left({7 \over 400}\times(18^2-1)+{267\over400}\times(18-1)\right)=54.74\%</math> as bonus AS%.
 
** At 18 he has maxed {{ai|Stacked Deck|Twisted Fate}} increasing his attack speed by 30%.
 
** At 18 he has maxed {{ai|Stacked Deck|Twisted Fate}} increasing his attack speed by 30%.
 
** Let's say he has the {{ri|Legend: Alacrity}} rune to 3%.
 
** Let's say he has the {{ri|Legend: Alacrity}} rune to 3%.

Revision as of 19:56, August 9, 2018

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 base attack speed, and some bonus attack speed is gained at each level-up.

Additional bonus attack speed can be obtained 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 base attack speed. Therefore, champions with higher base attack speed benefit more from bonus attack speed.

Attack speed cannot be increased beyond 2.5 attacks per second (or 1 attack every two fifths of a second, or 0.4 seconds).

Gold Value

  • Attack speed has a gold value of Gold 25 per point.

Calculations

Base attack speed

Every champion's base attack speed (ASbase) is calculated using a hidden variable called attack delay,[1] which ranges from −0.10 to 0.3. As ASbase is the value that is modified by bonus attack speed, and the amount shown at level 1 for most champions (excepting those with bonus attack speed at level 1), it is the value shown on the League of Legends Wiki.

$ \pagecolor{Black}\color{White}{\it AS}_{\rm base} = {0.625 \over 1 + {\it attack\ delay}} $

Bonus attack speed sources

  • 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 statistics growth formula.

Bonus AS% stacks additively.

Example: Stinger item Stinger grants +35% attack speed and Nashor&#039;s Tooth item 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.
  • Many in-game tooltip percentages (such as runes) have been rounded, so results may be slightly different unless the precise numbers are known.

Example

  • Calculating base attack speed:
    • Twisted Fate OriginalSquare Twisted Fate's attack delay is −0.04.
    • $ \pagecolor{Black}\color{White}{0.625 \over (1 - 0.04)} = {0.625 \over 0.96} = 0.651041 \overline{6} $. This is Twisted Fate OriginalSquare Twisted Fate's base attack speed, seen at level 1 (without runes, etc.).
    • The number seen in game is rounded to 3 decimal places: 0.651.
  • Calculating "bonus attack speed":
    • Every time Twisted Fate OriginalSquare Twisted Fate levels up, he gains bonus AS% based on percentage growth 3.22% and his level through the statistics growth formula.
      • At level 18 he has gained$ \pagecolor{Black}\color{White}3.22\% \times\left({7 \over 400}\times(18^2-1)+{267\over400}\times(18-1)\right)=54.74\% $ as bonus AS%.
    • At 18 he has maxed Stacked Deck Stacked Deck increasing his attack speed by 30%.
    • Let's say he has the Legend- Alacrity rune Legend: Alacrity rune to 3%.
    • Let's also say he has Stinger item Stinger: +35%.
    • All together he has: 54.74% + 30% + 3% + 35% = 122.74% bonus AS% or 1.2274 bonus AS as a decimal.
  • Final calculation:
    $ \pagecolor{Black}\color{White}\begin{align} & {0.625 \over 0.96} + \left({{0.625 \over 0.96} \times 122.74\%}\right) \\ =& 0.651041\overline6 + ({0.651041 \times 122.74\%}) \\ \approx & 1.450128 \end{align} $
    • In game, the number will be shown as: 1.450.

Removing the attack speed cap

The following game elements can remove the 2.5-attacks per second cap, potentially allowing infinite amounts of attacks per second.

Champions

Runes

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.

Champions

Items

Increasing attack speed

Items

Item Cost Amount Availability
Berserker&#039;s Greaves item Berserker's Greaves1100 Gold35 %All maps
Blade of the Ruined King item Blade of the Ruined King3300 Gold25 %All maps
Bloodrazor item Bloodrazor1625 Gold50 %Summoner's Rift
Dagger item Dagger300 Gold12 %All maps
Guinsoo&#039;s Rageblade item Guinsoo's Rageblade3100 Gold25 %All maps
Kircheis Shard item Kircheis Shard700 Gold15 %All maps
Might of the Ruined King item Might of the Ruined King3300 Gold40 %All maps
Nashor&#039;s Tooth item Nashor's Tooth3000 Gold50 %All maps
Phantom Dancer item Phantom Dancer2600 Gold30 %All maps
Rapid Firecannon item Rapid Firecannon2600 Gold30 %All maps
Recurve Bow item Recurve Bow1000 Gold25 %All maps
Runaan&#039;s Hurricane item Runaan's Hurricane2600 Gold40 %All maps
Statikk Shiv item Statikk Shiv2600 Gold40 %All maps
Stinger item Stinger1100 Gold35 %All maps
Stormrazor item Stormrazor3200 Gold15 %All maps
Trinity Force item Trinity Force3733 Gold40 %All maps
Trinity Fusion item Trinity Fusion3733 Gold50 %All maps
Wit&#039;s End item Wit's End2900 Gold50 %All maps
Zeal item Zeal1400 Gold12 %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.

Items

Champion abilities

Capped attack speed

The majority of champions are capped at 2.5 attacks per second. But some champion abilities make it impossible to reach that cap:

Notes

List of champions' attack speed

Script error

Trivia

Last updated: May 10th, 2018 – V8.9


Last updated: May 10th, 2018 – V8.9

References

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