Understanding the math of Imbues that are going from
1d6 to 1d8 w/ the 75% Spell Power scaling nerf.
AVERAGE BASE DAMAGE:
For simplicity, we will be using the damage for a single die, but if you would like to figure out how much damage you have, just multiply the average damage by the number of dice you have. Also for simplicity, I used the average damage that these dice generate, which is (Maximum + Minimum)/2.
1d6 Avg = (6+1)/2 = 3.5
1d8 Avg = (8+1)/2 = 4.5
CALCULATIONS:
The general formula is
Base Avg Dmg * (
1 + (
Spell Power/100) *
Spell Power Scaling). Because of the one in
GREEN, our end charts will not have a linear relationship and I can't give a solid number for how buffed or nerfed the imbues became. Remember that
Spell Power Scaling is a percentage, so 100% is equal to 1, and 75% is equal to 0.75. I divide the
Spell Power by 100 because each point is a 1% increase of the base damage.
For the old damage, I did 3.5 * (1 + Spell Power/100).
For the new damage, I did 4.5 * (1 + (Spell Power/100) * 0.75)
For the percentage change, I used the standard formula, (Final Value - Initial Value) / Initial Value.
RESULTS:
From this chart, we can see that the changes seem very marginal and that you'd be hard-pressed to be able to see the difference in damage.
If we zoom in on the first 200 spell power we see that the increase was just 1 damage and the increase gets smaller as you progress. But this doesn't quite tell you the whole story, let's look at the percentage change.
On this chart, we can see that these changes are a net positive up until 800 spell power, where we break even. After 800 spell power, you start to lose damage. I'm my opinion, most people weren't using 1d6 imbues and investing heavily in them, such that they would a) add in non-low hanging imbue dice or b) invest over 800 spell power.
If you would like to check out how I did the math or how your particular build will be affected, given your spell power/base damage, check out this spreadsheet:
PS: On the second page, I have the math for the nerf to existing 1d8 die imbues.