Recently, the Greymoor and Update 26 launced on PC. With this update, the Malacath's Band of Brutality was added to the game. This set gives a 1-piece item bonus of increasing your damage by 25% but you cannot critically strike. Is this set worth it?
To test if it is worth it, we use a theoretical approach, rather than play testing the set. This means we will use simple mathematics to calculate the damage. We will assume no other bonusses to damage are applied and no reductions to damages apply - such as penetration and resistance levels. We also ignore the fact that this one set piece may sactifice item bonuses from other sets that increase damage - such as maximum resource pools and spell/weapon damage stats.
Let us assume our normal damage (Ndamage) = 2,000. This will mean that our critical damage (Cdamage) = 3,000.
Cdamage = Ndamage * 1.5, such that Cdamage = 2,000 * 1.5 = 3,000.
With Malacath's Band of Brutality (MBB) our damage will be lower because we cannot critical damage the enemy. This will reduce our damage to 2,500.
MBBdamage = Ndamage * 1.25 = 2,000 * 1.25 = 2,500, such that MBBdamage = 2,000 * 1.25 = 2,500.
Does this mean that Malacath's Band of Brutality is always worse? With this data, one would conclude that it always will be worse. However, if we take critical strike chance into account, this conclusion may change.
Until now, we considered only one hit (N = 1). Now let us consider 100 hits (N = 100) and a critical strike chance of 50%. Meaning that every hit has the probability of critically striking of 0.5. If we approach N = ∞ (infinity), about 50% of ∞ (infinity) will critically strike. Therefore, we assume that of the 100 hits, 50% will critically strike. In real situations, this may be lower or higher. This means that with N = 100, 50 will critically strike. We will call these critical strikes Ncrit and the critical strike chance Cchance. This means that our total damage (Tdamage) will be 250,000.
Tdamage = Ndamage * (N - Ncrit) + Cdamage * Ncrit = 2,000 * (100 - 50) + 2,500 * 50 = 250,000
with Ncrit = N * (1 - Cchance) = 100 * (1 - 50%) = 50
When we use Malacath's Band of Brutality and deal 25% more normal damage but cannot critically strike with 100 hits (N = 100), we get the same amount of damage: 250,000.
Tdamage = MBBdamage * N = 2,500 * 100 = 250,000
This means that when our critical strike chance is 50%, the total damage is equal to the total damage when we wear Malacath's Band of Brutality and get 25% more normal damage but cannot critically strike. When we further evaluate both situations, we find that when our critical strike chance is greater than 50% our total damage is greater than the total damage wearing Malacath's Band of Brutality. However, when our critical strike chance is smaller than 50%, Malacath's Band of Brutality will outperform in terms of damage.
When critical strike chance < 50%, Malacath's Band of Brutality outperforms relying on critical damage.
When critical strike chance = 50%, the damage is equal.
When critical strike chance > 50%, relying on critical damage outperforms wearing Malacath's Band of Brutality.
These hypotheses, however, will need field testing to find evidence for them or reject them. Therefore, these statistics only give an estimated indication of the behaviour of the total damage but not an exact indication.
Verdict: Malacath's Band of Brutality is only worth it when your critical strike chance is lower than 50%. Wearing Malacath's Band of Brutality when your critical strike chance is higher than 50% will result in lower performance than if we simply rely on critical striking the target.
dd/mm/yyyy - UTC +1
Delivering Elder Scrolls Online support, tutorials, guides and builds since 2011