Under some circumstances Offense set does more critical damage than CD set
In order to be equally comparable, the primaries and secondaries before applying the sets will be identical. There is no other way to tell if a set is better than the other without this assumption.
The starting formula is then this one:
*(1+Off_Bonus)*(1.5+CD_Mods+CD_Bonus))
For the Off set, 0.15 will be added in the (1+Off_Mods) bracket
For the CD set, 0.3 will be added in the (1.5+CD_Mods+CD_Bonus) bracket
To make a comparison between both sets, we’ll equal both damages. We’ll call x to the Offense bracket and y to the CD bracket.
*(1+Off_Bonus)*y = *(1+Off_Bonus)*(y+0.30)
Developing the formula, we get:
(x+0.15)*y = x*(y+0.30)
xy+0.15y = xy + 0.30x
0.15y = 0.30x
y = 2x Or x = 0.5y
So both sets can get to do same damage under the condition of Offense (before sets) equaling half the Critical Damage (before sets).
Also, we can see that Off Bonus from leadership, uniques and buffs don’t affect the result.
To make the following data easier to read I’ve used (Base*AbilityMultiplier) equal to 1. So it shows the amount of times that (Base*AbilityMultiplier) the sets do. Also a 6 dot CD triangle mod is used.
With +0% CD bonus
As can be seen from the data and graph, the more initial Offense you have, the more Damage you get. CD Set is always better in this case.
With +100% CD
Partial data showing where the CD set gets higher than Offense Set (+100% CD):
As the data shows, Off set does more damage below the threshold of equal damage while CD set does more Damage above the threshold.
So for 1.085 Offense (the lowest we can get) the CD will be 2.17. If we substract the 1.5 (base) and 0.42 (triangle), then we need +25% extra CD to reach the threshold were both sets do same damage.
On the example and graph above with +100%CD, the Offense needed will be (1.5+0.42+1)/2 = 1.46
Conclusions:
If Total CD is lower than 217%, CD set will always do more critical damage
If Total CD is equal or higher than 217% then three possibilities are given:
* If Offense (before sets) is below the threshold, Offense set will do more damage.
* If Offense (before sets) is on the threshold, both sets will do same damage.
* If Offense (before sets) is above the threshold, CD set will do more damage.
Relics don’t affect these, as they modify base damage, which doesn’t affect sets relationship. The up to +13.5% CD of relics doesn’t affect the conclusions either.
There will be a moment, as +CD_Bonus gets higher, when the required Offense to get to the threshold or past the threshold will not be feasible and CD set cannot get to the damage done by Off set.
(All this post assumes no partial gear pieces as it break the premises of the equations used)
