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| + | == Licensing == |
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| − | {| class="darktable" style="width:20em; float:right;" |
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| + | {{Licensing|Zone}} |
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| − | |- |
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| − | ! Resilience Quick Facts |
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| − | | |
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| − | *1% '''Resilience''' will: |
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| − | **Reduce chance to be [[crit]] by 1% |
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| − | **Reduce damage from all crits by 2.2% |
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| − | **Reduce all player-caused damage by an additional 2% |
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| − | **Reduce mana drained by 2.2% |
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| − | *94.3 '''resilience rating''' per 1% resilience at level 80 |
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| − | *39.4 '''resilience rating''' per 1% resilience at level 70 |
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| − | *25 resilience rating per 1% resilience at level 60 |
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| − | *Useful for [[PvP]] survival and found on many PvP rewards |
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| − | |} |
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| − | |||
| − | '''Resilience''' is the bread and butter PvP stat. Resilience is a character attribute that reduces the chance to receive [[critical strike]]s or [[spell critical strike]]s, reduces the effect of mana drain spells, reduces the damage taken from critical strikes and spell critical strikes, and reduces the damage taken from players overall. |
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| − | Characters have no innate resilience. It can only be gained through external sources, e.g. [[equipment]], [[elixir]]s, [[enchantment]]s, [[gem]]s, and some spell effects that grant '''resilience rating'''. Many items and [[recipe]]s that grant resilience rating are [[PvP rewards]]. |
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| − | Resilience was introduced with the {{bc-inline}} [[Burning Crusade]] expansion as part of the new [[combat rating system]]. Previously, no such resilience mechanic existed — as a result, resilience rating only appears on items available to players over level 60, with some rare exceptions. |
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| − | |||
| − | ==Formulas== |
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| − | One percent of resilience has the following effects: |
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| − | * Chance to be critically hit reduced by 1%. |
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| − | * Damage taken from [[crits]] that do land have their critical strike damage component reduced by 2.2%. |
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| − | * Damage taken from all player attacks reduced by additional 1%. |
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| − | * Amount of mana drained or burned by mana-draining effects is reduced by 2.2%. |
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| − | As part of the [[combat rating system]], the amount of resilience rating needed to get a certain amount of resilience increases with level. A higher level player will need more resilience rating to get the same effect as a lower level player. At level 80, a player needs 82 resilience rating to get 1% of resilience. |
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| − | Remember that resilience only reduces overall damage taken from players - the reduction has no effect on the damage of [[mobs]] other than to reduce critical chance and critical damage. |
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| − | {{Resilience}} |
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| − | (Note: The above chart is out-dated. Since 3.2.0, the Rating required has increased by 15% from the listed numbers. See the below chart titled Resilience Rating Required Per 1%) |
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| − | ===Damage mitigation=== |
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| − | The effect of resilience is related to the equations for calculating [[critical strike]] damage. A player's average damage caused for a single spell or ability is given by the following equation, where '''''C''''' is the critical strike rate, and '''''B''''' is the critical strike damage bonus component. That is, how much extra damage a critical strike gives compared to a normal hit. Percentages are expressed in decimal form (i.e. a number between 0 and 1). Melee attacks typically have a value '''''B''''' of 1.0 (100%), spells a value '''''B''''' of 0.50 (50%). However, most classes have talents that can increase the bonus '''''B''''' for certain spells or abilities. |
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| − | |||
| − | <pre>Avg. Damage = [Hit Damage * (1.0 - C)] + [Hit Damage * (1.0 + B) * C]</pre> |
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| − | The first half of the equation is damage dealt from hits and the second part is damage dealt from crits, with each weighted by the probability of it occurring. For the purposes of analyzing resilience, we only consider attacks that deal damage, which will be hits and crits in PvP combat. Note that ''(1.0 - C)'' in the first half and ''C'' in the second half add up to 100%. |
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| − | For example, a [[warlock]] using [[Shadow Bolt]] who has the [[Ruin]] talent will have a critical strike bonus '''''B''''' of 1.0 (100%) for that spell. This particular warlock also has a crit rate of 0.30 (30%) with Shadow Bolts. If a non-crit is 2000, and a crit is 4000, then the average overall damage for casting Shadow Bolt will be 2600. |
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| − | |||
| − | <pre>Avg. Damage = [2000 * (1.0 - 0.30)] + [2000 * (1.0 + 1.0) * (0.30)] |
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| − | Avg. Damage = [2000 * 0.70] + [2000 * 2.0 * 0.30] = 2600</pre> |
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| − | Resilience modifies the '''''C''''' variable and the crit damage portion of the equation. The critical strike rate is directly reduced, and the crit damage is multiplied by a reduction factor. Furthermore, the total amount of damage the warlock would do is also multiplied by a reduction factor. The updated equation for average critical strike damage, where '''''res''''' is the target's resilience as a percentage reduction, is given below: |
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| − | <pre>Avg. Damage = [ [Hit Damage * (1.0 - (C - res))] + [Hit Damage * (1.0 + B) * (C - res) * (1.0 - 2.2*res)] ] * [1.0 - res]</pre> |
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| − | For the warlock example above, if the target has 1% resilience, the base damage is reduced by 1%, so a normal Shadow Bolt would hit for 1980. It will crit only 29% of the time, and will only do 3873 damage. The result of this is that the average damage per Shadow Bolt will now be 2540.28. Compared to a 2600 average with no resilience, the target with 1% resilience will receive about 2.3% less damage overall from this warlock's Shadow Bolts. |
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| − | <pre>Avg. Damage = [ [2000 * (1.0 - (0.30 - 0.01)] + [2000 * 2.0 * (0.30 - 0.01) * (1.0 - 2.2*0.01)] ] * [1.0 - 0.01] |
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| − | Avg. Damage = [ [2000 * 0.71] + [2000 * 2.0 * 0.29 * 0.978] ] * [0.99] = 2540.28</pre> |
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| − | As an extreme example, consider a [[rogue]] who has a 100% crit rate with a standard weapon [[attack]]. Melee attacks have a critical strike bonus of 100%. If the average attack is 200, crits are 400. With a 100% crit rate every attack should now crit for 400. If the target has 1% resilience then only 99% of attacks will critically strike and the damage of those crits will be reduced by 2.2%. One out of every hundred attacks will now only hit for 200, and the rest will still be critical strikes but only deal 391 damage. This means the average attack is now reduced to 385.40 overall, resulting in a 3.651% total damage reduction. |
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| − | <pre>Avg. Damage = [ [200 * (1.0 - (1.0 - 0.01)] + [200 * 2.0 * (1.0 - 0.01) * (1.0 - 2.2*0.01)] ] * [1.0 - 0.01] |
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| − | Avg. Damage = [ [200 * 0.01] + [200 * 2.0 * 0.99 * 0.978] ] * [0.99] = 385.40</pre> |
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| − | Now, consider the same rogue attacking targets with 2% and 3% resilience. |
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| − | <pre>Avg. Damage = [ [200 * (1.0 - (1.0 - 0.02)] + [200 * 2.0 * (1.0 - 0.02) * (1.0 - 2.2*0.02)] ] * [1.0 - 0.02] |
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| − | Avg. Damage = [ [200 * 0.02] + [200 * 2.0 * 0.98 * 0.956] ] * [0.98] = 371.18</pre> |
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| − | <pre>Avg. Damage = [ [200 * (1.0 - (1.0 - 0.03)] + [200 * 2.0 * (1.0 - 0.03) * (1.0 - 2.2*0.03)] ] * [1.0 - 0.03] |
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| − | Avg. Damage = [ [200 * 0.03] + [200 * 2.0 * 0.97 * 0.934] ] * [0.97] = 357.34</pre> |
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| − | 2% resilience reduces average incoming damage by 7.21% (a 3.56% increase over 1% resilience) and 3% resilience reduces incoming damage by 10.67% (a 3.46% increase over 2%). There's an insignificant diminishing returns effect on overall damage reduction for each additional point of resilience. |
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| − | It should be obvious that the smaller the critical strike components are in any attack, the less of an effect a target's resilience will have. Consider a mage casting a 1000 damage untalented Frostbolt with a 20% chance to critically strike and a damage bonus of 50%. Against a target with no resilience, the average damage per Frostbolt is 1100. |
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| − | <pre>Avg. Damage = [1000 * (1.0 - 0.20)] + [1000 * (1.0 + 0.5) * (0.20)] |
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| − | Avg. Damage = [1000 * 0.80] + [1000 * 1.5 * 0.20] = 1100</pre> |
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| − | |||
| − | Now against a target with 3% resilience: |
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| − | <pre>Avg. Damage = [ [1000 * (1.0 - (0.20 - 0.03)] + [1000 * 1.5 * (0.20 - 0.03) * (1.0 - 2.2*0.03)] ] * [1.0 - 0.03] |
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| − | Avg. Damage = [ [1000 * 0.83] + [1000 * 1.5 * 0.17 * 0.934] ] * [0.97] = 1036.1</pre> |
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| − | The 3% resilience is only reducing overall damage from Frostbolt by 5.81%, where it was reducing damage from the crit-happy rogue by 10.67%. Now consider the same Frostbolt, talented with [[Ice Shards]] (crit component doubled). |
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| − | <pre>Avg. Damage = [1000 * (1.0 - 0.20)] + [1000 * (1.0 + 1.0) * (0.20)] |
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| − | Avg. Damage = [1000 * 0.80] + [1000 * 2.0 * 0.20] = 1200</pre> |
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| − | Now against a target with 3% resilience: |
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| − | <pre>Avg. Damage = [ [1000 * (1.0 - (0.20 - 0.03)] + [1000 * 2.0 * (0.20 - 0.03) * (1.0 - 2.2*0.03)] ] * [1.0 - 0.03] |
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| − | Avg. Damage = [ [1000 * 0.83] + [1000 * 2.0 * 0.17 * 0.934] ] * [.97] = 1113.1</pre> |
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| − | The overall damage reduction is now 7.24%. |
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| − | ===Resilience rating required per 1%=== |
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| − | {{ood}} |
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| − | [[Image:ResilienceFromRating.jpg|thumb|right|Displays the reductions in critical hit chance, DOT damage and critical hit damage taken by a user with X amount of resilience rating at level 70.]] |
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| − | Levels 60 through 70 use the following formula: |
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| − | Rating for 1% resilience = 2050/(262-(3* Level)) |
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| − | Levels 8 through 60 use the following formula: |
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| − | Rating for 1% resilience = (Level - 60) * (0.48) + 25 |
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| − | These two formulas result in the chart below: |
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| − | {| class="darktable collapsible collapsed" style="text-align:left; width:23em" |
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| − | |- |
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| − | ! colspan="8" | Resilience Rating Required Per 1% |
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| − | |- |
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| − | ! Level |
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| − | ! colspan="2"| Rating |
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| − | ! Level |
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| − | !colspan="2"| Rating |
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| − | ! Level |
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| − | ! Rating |
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| − | | 10||1.00|| ||35||13.00|||| class="alt" | '''60''' || class="alt" | '''28.75''' |
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| − | |- |
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| − | | 11||1.48||||36||13.48||||61||29.84 |
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| − | |- |
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| − | | 12||1.96||||37||13.96||||62||31.02 |
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| − | |- |
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| − | | 13||2.44||||38||14.44||||63||32.29 |
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| − | |- |
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| − | | 14||2.92||||39||14.92||||64||33.68 |
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| − | |- |
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| − | | 15||3.40||||40||15.40||||65||35.19 |
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| − | |- |
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| − | | 16||3.88||||41||15.88||||66||36.84 |
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| − | |- |
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| − | | 17||4.36||||42||16.36||||67||38.65 |
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| − | |- |
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| − | | 18||4.84||||43||16.84||||68||40.64 |
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| − | |- |
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| − | | 19||5.32||||44||17.32||||69||42.86 |
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| − | |- |
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| − | | 20||5.80||||45||17.80||||70||45.33 |
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| − | |- |
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| − | | 21||6.28||||46||18.28||||71||48.77 |
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| − | |- |
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| − | | 22||6.76||||47||21.56||||72||52.48 |
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| − | |- |
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| − | | 23||7.24||||48||22.12||||73||56.47 |
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| − | |- |
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| − | | 24||7.72||||49||22.68||||74||60.76 |
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| − | |- |
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| − | | 25||8.20||||50||23.22||||75||65.38 |
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| − | |- |
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| − | | 26||8.68||||51||23.77||||76||70.34 |
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| − | |- |
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| − | | 27||9.16||||52||24.33||||77||75.68 |
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| − | |- |
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| − | | 28||9.64||||53||24.88||||78||81.43 |
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| − | |- |
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| − | | 29||10.12||||54||25.43||||79||87.62 |
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| − | |- |
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| − | | 30||10.60||||55||25.99||||80||94.27 |
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| − | |- |
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| − | | 31||11.08||||56||26.54|| |
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| − | |- |
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| − | | 32||11.56||||57||27.09|| |
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| − | |- |
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| − | | 33||12.04||||58||27.64|| |
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| − | |- |
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| − | | 34||12.52||||59||28.20|| |
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| − | |}<!--If the table above is altered, '''bring special attention to level 60'''. It is the baseline rating.--> |
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| − | (Note: Chart has been updated for 3.2.0) |
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| − | ''Information from http://elitistjerks.com/f31/t29453-combat_ratings_level_80_a/. Ratings 46 and below are inaccurate, but close '' |
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| − | For any given level, divide your rating by the factor in the chart. |
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| − | For example, total resilience rating on items is 20 at level 39 it would equal 1.34 % resilience. 20 / 14.92 = 1.34 % resilience. |
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| − | It's a straight multiplication if you wanted to know what rating you needed at any given level for any amount of resilience. There are no diminishing returns on resilience. Doubling the rating doubles the effect for any given level. Tripling the rating triples the %, etc. |
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| − | For example, if you wanted to know what rating you needed at level 52 for 4.7% resilience, multiply (21.14 * 4.7) = 99.45 rating. 0.45 not rating is possible because rating is in whole numbers. You always have to round up. For a minimum of 4.7% resilience at Level 52 you would need a 100 rating. |
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| − | == PvP Sample == |
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| − | [[File:ResPic0-1500.jpg|thumb]][[File:ResPic0-4000.jpg|thumb]] |
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| − | This is a sample of how resilience works in real PvP. The target suffers <u>8k</u> direct damage (with 10/20/30/40% critical chance) and more <u>2k</u> from dot.(8k+2k=10k damage but the deflection is critical chance for the 8k) |
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| − | : green→<tt><small>7272,7272 (normal) with 10% critical chance + 2000 (dot) = max 10k Damage</small></tt> |
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| − | : purple→<tt><small>6666,6666 (normal) with 20% critical chance + 2000 (dot) = max 10k Damage</small></tt> |
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| − | : yellow→<tt><small>6153,8461 (normal) with 30% critical chance + 2000 (dot) = max 10k Damage</small></tt> |
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| − | : blue→<tt><small>5714,2857 (normal) with 40% critical chance + 2000 (dot) = max 10k Damage</small></tt> |
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| − | Calculation base:1414.5 resilience → 33% critical damage reduction |
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| − | *1 resilience: critical chance reduction and dot reduction: <tt style="color:red;">0,010608204 |
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| − | </tt> |
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| − | *1 resilience: critical damage reduction and manadrain reduction: <tt style="color:red;">0,023338048</tt> |
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| − | If we have a great rate (800+), we have major protection against players with high critical chance. |
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| − | This diagram shows the cap and the another border where the line fault (crit% 0). |
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| − | We can see all 4 curves are hooked till the crit chance become 0 or reach the cap. After that they are linear. More resilience is more protection but it is rarely linear!!! |
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| − | ==Resilience cap== |
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| − | 3.3.3 is the current patch at the moment this is writen. |
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| − | The ''damage reduction'' from a critical strike is capped at 33%, which equates to 1414,5 resilience (94.3*33/2.2) at level 80 |
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| − | . This reduces your crit damage taken by 33% (the max allowed). It's a soft cap because there is no limit on your ability to reduce another player's % chance to crit against you (other than they can't go below 0%). The cap is just on the damage reduction of the crit. ) |
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| − | It's many that belief that the current Resilience cap is 1230, but that was the old Resilience cap before Patch 3.0.3 |
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| − | in patch 3.0.3 they change. |
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| − | The damage reduction component of resilience has been increased from 2 times the critical strike chance reduction to 2.2 times the critical strike chance reduction. In addition, the maximum damage reduction to a critical strike from resilience has been increased from 30% to 33% |
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| − | == Enhancements == |
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| − | *{{loot|epic|Earthen Leg Armor}}: {{wotlk-inline}} Permanently adds 28 stamina and 40 resilience rating to a leg slot item (added at [[patch 3.0.8]]). |
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| − | *{{loot|rare|Arcanum of the Savage Gladiator}}: {{wotlk-inline}} Permanently adds 30 stamina and 25 resilience rating to a head slot item. |
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| − | *{{loot|rare|Arcanum of Dominance}}: {{wotlk-inline}} Permanently adds 29 spell power and 20 resilience rating to a head slot item. |
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| − | *{{loot|rare|Arcanum of Triumph}}: {{wotlk-inline}} Permanently adds 50 attack power and 20 resilience rating to a head slot item. |
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| − | *{{loot|rare|Inscription of Dominance}}: Permanently adds 23 spell power and 15 resilience rating to a shoulder slot item. |
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| − | *{{loot|uncommon|Arcanum of the Gladiator}}: {{bc-inline}} Permanently adds 18 Stamina and 20 resilience rating to a head slot item. |
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| − | *{{loot|epic|Greater Inscription of the Gladiator}}: {{wotlk-inline}} Permanently adds 30 Stamina and 15 resilience rating to a shoulder slot item. |
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| − | *{{loot|rare|Inscription of Triumph}}: {{wotlk-inline}} Permanently adds 40 attack power and 15 resilience rating to a shoulder slot item. |
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| − | === Elixirs === |
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| − | *{{loot|common|Elixir of Ironskin}}: {{bc-inline}} Increases Resilience Rating by 30 for 60 min. |
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| − | |||
| − | === Flasks === |
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| − | *{{loot|common|Lesser Flask of Toughness}}: {{wotlk-inline}} Increases Resilience Rating by 50 for 60 min. |
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| − | |||
| − | === Enchantments === |
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| − | *{{loot|enchant|Enchant Chest - Exceptional Resilience}}: {{wotlk-inline}} Permanently enchant chest armor to increase resilience rating by 20. |
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| − | *{{loot|enchant|Enchant Chest - Major Resilience}}: {{bc-inline}} Permanently enchant a piece of chest armor to grant 15 resilience rating. |
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| − | *{{loot|enchant|Enchant Shield - Resilience}}: {{bc-inline}} Permanently enchant a shield to grant 12 resilience rating. |
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| − | |||
| − | === Gems === |
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| − | {{:Resilience gems}} |
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| − | |||
| − | ===In Cataclysm=== |
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| − | * Resilience will only reduce damage taken from players and reduce critical strike damage.{{fact}} |
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| − | |||
| − | == Patch changes == |
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| − | * {{Patched|date=2010-01-20|note=Resilience damage reduction doubled. So depending on their current amount of resilience, characters might experience a 10 to 20% decrease in damage taken from other players.}} |
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| − | * {{Patch 3.2.0|note=No longer reduces the amount of damage done by damage-over-time spells, but instead reduces the amount of all damage done by players by the same proportion. In addition, the amount of resilience needed to reduce critical strike chance, critical strike damage and overall damage has been increased by 15%.}} |
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| − | * {{Patch 3.0.3|note=The damage reduction component of resilience has been increased from 2 times the critical strike chance reduction to 2.2 times the critical strike chance reduction. In addition, the maximum damage reduction to a critical strike from resilience has been increased from 30% to 33%.}} |
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| − | * {{Patch 2.4.0|note=Now reduces the magnitude of mana draining effects by the same amount that it reduces critical strike damage. The Tooltip has been revised to reflect this.}} |
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| − | |||
| − | ==See also== |
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| − | *[[Combat rating system]] |
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| − | *[[Critical strike]] |
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| − | *[[Spell critical strike]] |
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| − | |||
| − | |||
| − | {{Attack table}} |
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| − | [[Category:Game terms]] |
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| − | [[Category:Combat]] |
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| − | [[Category:Attributes]] |
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| − | [[Category:Formulas and game mechanics]] |
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| − | [[Category:Tanking]] |
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Latest revision as of 21:13, 22 July 2011
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