We have the following commonly obtainable sources of CDR. Ways of getting enough CDR for permanent uptime This is a fair assumption, considering most people (as of 2.4) use Dawn in Kanai's Cube rather than actually equip it (it automatically gets the best possible roll when in the cube). This assumes that your Dawn rolled a perfect 65 %.
Which tells us we need at least 36.5 % CDR from gear, paragon and/or gems. Which when solved for CDR gives (again, given CRD 1 - 20 / (90 * (1 - 0.65)) or approximately CDR > 0.365. We can plug this into the CDR formula as one of the factors: Now we have Dawn, which reduces the cooldown of Vengeance by 50-65 %. This is in most cases unrealistic to achieve with CDR from gear, paragons and gem. Keep in mind that CDR here represents the resulting combined cooldown reduction from all your gear, subject to the stacking detailed above. We thus need at least 77.8% CDR for permanent uptime. Which when solved for CDR becomes (given CDR 1 - 20/90 which approximates to CDR > 0.778. To maintain permanent uptime, we need to reduce the cooldown below 20 seconds. Vengeance has a 90 second cooldown and a 20 second duration. Since earlier CDR reduces the cooldown, there is less cooldown to be reduced, and thus the effect of subsequent CDR appears smaller (as measured in seconds). The apparent diminishing is just an effect of using percentage-based cooldown reduction (fixed time reduction would be a different manner).Īny subsequent CDR effect reduces the remaining cooldown by exactly how much it says. Adding 20 % CDR will increase the amount of casts possible in a given time by 1 / (1 - 0.2) = 1.25, or 25 %. There is no reduced effectiveness of CDR as more is added. So the resulting cooldown is 40 % of the base cooldown. So for the example above (50 % and 20 %), we get:
are the CDR numbers for each individual contributor, expressed as a fraction ( so 20 % = 0.2) and is the base cooldown of the skill.
The formula for cooldown reduction goes like this: A naive interpretation is that the resulting cooldown will be reduced by 50 % + 20 % = 70 %. Say you have two items that reduce the cooldown of a skill by 50 % and 20 % respectively. This often leads to confusion among newer players, as the final number is smaller than the sum of CDR on your equipment. Maths How CDR stacksĪs briefly explained in this answer, Cooldown Reduction ( CDR) stacks multiplicatively. See below for explanation and how to achieve this). (This is the number you see in your inventory, not the sum of CDR on your gear.
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