Dual wield math
Hi, thanks for the great original posts. In the frost tanking section, the math on dual wielding contains two mistakes. First, attack power, and second, haste.
This part right here should have set off alarm bells. You got two different values for dps for cases (1) and (2) even though you were using weapons of equal ilvl and held the attack power constant.
Originally Posted by Satorri
The mistake was adding AP/14 to your final weapon damage. AP/14 is a dps value, not damage. However, it must be added before haste is taken into account, so we first convert it to damage using AP/14*weapon_speed and then divide by the final haste-modified weapon speed.
It seems you calculated the final weapon speed by multiplying the original speed by (1 - haste). The correct formula is to divide weapon speed by (1 + haste). I've included a link to WoWWiki's page on haste, and this is easily verifiable in game. (The bit about attack power, too, you can see for yourself in game.)
Also, it's safe to assume that Obliterate and every other Death Knight instant strike are normalized attacks, therefore their contribution from attack power will be independent of weapon speed. I can't offer hard evidence for this, but, it's very safe to assume, and it's actually already in WoWWiki's list of normalized attacks, so.... Rune Strike, being a "next melee" attack, is not only not normalized but also gets an extra bonus from attack power.
I hope you find this helpful. Here are the correct values (much rounding involved):
If we take a tank with 5k AP, 0% haste from gear, and the standard 23% melee haste raid buff, then the average hit size and speed for each weapon will be roughly:
Blood Fury = 830 dmg, 1.22 sec
Stormpike Cleaver = 1439 dmg, 2.11 sec
Sharpened Obsidian Edge = 2144 dmg, 2.85 sec
We’ll use three setups, (1) with two fast weapons, (2) with two slow weapons, and (3) with the 2-hander. Remember the off-hand weapon will do only 57.5% damage. The damage per strike will be listed with the two weapons combined where dual wielding:
(1) 830 + 477 = 1307 (per 1.22 sec = 1072 dps)
(2) 1439 + 827 = 2266 (per 2.11 sec = 1074 dps)
(3) 2144 + 000 = 2144 (per 2.85 sec = 752 dps)
If we take into account the extra 19% miss chance for dual wielding (...), then dual wielding auto-swings are about 15% more dps than 2h auto-swings. This is not due to the talent Nerves of Cold Steel, but rather more to the fact that attack power scales higher when dual wielding.
(1) 1995 + 1147 = 3142 dmg = 1835 dmg more than auto-swing
(2) 2908 + 1672 = 4580 dmg = 2314 dmg more than auto-swing
(3) 3966 + 0000 = 3966 dmg = 1822 dmg more than auto-swing
Obliterate (with 0 diseases on the target):
(1) 1389 + 798 = 2187 dmg
(2) 1561 + 898 = 2459 dmg
(3) 2125 + 000 = 2125 dmg
Special attacks such as Rune Strike and Obliterate are not affected by the increased miss chance for dual wielding.
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