Sanctum of Thought

Sanctum of Thought is a notable passive skill that reduces the effect of critical strikes on you. It also grants increased armour and reducing the effect of curses on you.

Mechanics

The bonus granted by this passive skill causes the character to take reduced extra damage from critical strikes. This is a modifier on the percentage of damage over 100% that an enemy inflicts with a critical strike on the character.

Let m be the enemy's critical strike multiplier and let R be the sum of the r's in You take r% reduced Extra Damage from Critical Strikes modifiers being applied to the character. The enemy's effective critical strike multiplier E is given by

E = 100 + (m - 100) * (1 - R/100)

If m = 150% and R = 20%, then

E = 100 + (150 - 100) * (1 - 20/100) = 140%

The enemy's effective critical strike multiplier is 140%, thus the extra critical strike damage is reduced by 20%, but the total damage of the critical strike has only been reduced by 6.67%.

Since the default multiplier for monsters is No results%, for most monsters each 20% reduction would reduce the multiplier by 6% (20% of 30), which is 4.6% of total damage.

Interactions

The You take 20% reduced Extra Damage from Critical Strikes modifier on Sanctum of Thought stacks with the You take 30% reduced Extra Damage from Critical Strikes modifier on .

The unique modifier Take no Extra Damage from Critical Strikes on renders Sanctum of Thought redundant.

Version history

Version	Changes
3.7.0	Added [sicSīc erat scriptum (Latin: “Thus it was written”) – This quote is reproduced faithfully from its source with the preceding errors.] the following new notables and associated small passive skills to the passive skill tree: [...], Sanctum of Thought [...] and others (Undocumented) Renamed to Sanctum of Thought from Indomitable (Undocumented) Now has the mod 20% reduced Effect of Curses on you
2.2.0	(Undocumented) Renamed from "Unyielding" to "Indomitable". In the same patch Unyielding as a keystone is introduced.
1.3.0	Added to the passive skill tree.