Sanctum of Thought

Sanctum of Thought

Notable Passive Skill

You take 30% reduced Extra Damage from Critical Strikes
18% increased Armour
12% increased maximum Energy Shield [1]

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

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 130%, 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 30% 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 Belt of the DeceiverBelt of the Deceiver
Heavy BeltRequires Level 20+(25-35) to Strength(15-25)% increased Global Physical Damage
You take 30% reduced Extra Damage from Critical Strikes
+(30-40) to maximum Life
+(10-15)% to all Elemental Resistances
Nearby Enemies are IntimidatedIn battle, virtue matters not.
Only victory..

The unique modifier Take no Extra Damage from Critical Strikes on The Brass DomeThe Brass Dome
Gladiator PlateArmour: (3321-4240)
Movement Speed: -5%Requires Level 65, 177 Str(350-400)% increased Armour
+(1-5)% to all maximum Elemental Resistances
Strength provides no bonus to Maximum Life
Take no Extra Damage from Critical StrikesThe turtle's shell one day becomes its tomb. renders Sanctum of Thought redundant.

Anointment

Blight anointment to unlock the passive:

Oil #1	Oil #2	Oil #3	Outcome
Azure Oil	Azure Oil	Golden Oil	Sanctum of Thought	You take 30% reduced Extra Damage from Critical Strikes 18% increased Armour 12% increased maximum Energy Shield

Version history

Version	Changes
3.16.0	[Undocumented This change was not documented by any official sources. It was discovered through player testing or datamining.]: Now grants You take 30% reduced Extra Damage from Critical Strikes (up from 20%). Now grants 18% increased Armour (down from 30%). No longer grants 20% reduced Effect of Curses on you. Instead, it now 12% increased maximum Energy Shield.
3.7.0	Renamed to Sanctum of Thought from Indomitable [Undocumented This change was not documented by any official sources. It was discovered through player testing or datamining.] Now has the mod 20% reduced Effect of Curses on you [Undocumented This change was not documented by any official sources. It was discovered through player testing or datamining.]
2.2.0	Renamed from "Unyielding" to "Indomitable". In the same patch Unyielding as a keystone is introduced. [Undocumented This change was not documented by any official sources. It was discovered through player testing or datamining.]
1.3.0	Added to the passive skill tree.