Kaelik wrote:In one case, you are missing half as often, so according to you, you are therefore performing 200% what you were, but yet, it is equally as true that you are hitting 21.4% more often, so you are performing 121.4% as well.
Yeah, that's not the math that's happening here. At all.
Going from 3 to 6 hits out of 20 (i.e. an accuracy of .15 to .3) is pretty big. If you were killing creatures before at .15 accuracy, you will now kill twice as many. Going from 15 to 18 hits out of 20 (i.e. an accuracy improvement of .75 to .9) isn't as impressive. If you were killing creatures before at .75 accuracy, you're only killing one more per every five you were killing before.
What we care about is the percentage increase in hits - not the percentage decrease in misses. You brought that up, not me (well, Swordslinger did, really). Misses are fuck-all who cares.
Kaelik wrote:Both of these cannot be true, in fact, you are doing 15% (X the damage of the power) more damage. That's the actual change in your ability.
Except you literally mathematically aren't doing 15% more of your old damage output, you are doing 15% more of X per attack.
There is a value for the flat increase in damage, you are completely right. A +3 to-hit is effectively adding (.15)X damage to every attack. But that doesn't tell us anything, because it doesn't tell us how much damage every attack did before. At the median, you were previously doing (.5)X damage. And adding a flat (.15)X to (.5)X turns out to be a 30% increase in the amount of shit you will kill over a given period of time by eviscerating it.
+10 damage matters more when you do 1 damage, and matters less when you do 100. In the former case, it literally turns 1 hit into 11 hits, and in the latter case, it turns 1 hit into 1.1 hits.