The One-Handed perk tree contains Armsman:
- Armsman (One-Handed weapons do 20/40/60/80/100% more damage)
And the Stealth perk tree contains two perks which can modify one-handed damage:
- Backstab (Sneak attacks with one-handed weapons now do 6x damage)
- Assassin's Blade (Sneak attacks with daggers now do a total of 15x normal damage)
Are the effects of Armsman and Backstab/Assassin's Blade additive or multiplicative?
For example,
let's say I have the rank 5 Armsman perk and a dagger which inflicts X base damage. My dagger should now inflict 2X damage: (X + X*100%)
.
Now I acquire the Backstab perk. When backstabbing, will my dagger inflict:
- 7X damage (
6X + X*100%
; perks stack additively)
or
- 12X damage (
(X + X*100%)*6
; perks stack multiplicatively)
?
Best Answer
Multiplicatively. (Otherwise, it would take 5 ranks to increase dagger sneak attack damage from 15x to 16x.)
First off, this is the damage formula:
and for sneak attacks, most damage except that from poison or enchantments should be multiplied.
So assuming the no-ranks-in-Armsman, non-sneaking attack is
x
, then it breaks down like so for one-handed weapons: