High damage output Derv

AoHM DOES have an insane damage boost with GDW and SoH, even if it breaks synergy. Most teams don't have MoP, and I don't think Orders alone would compensate for AoHM's damage. 0. AoHM does not boost the damage from GDW and SoH. It is a straight plus to damage rating. The skill description is inaccurate.

1. EBSoH also affects all the other melee on the team, plus minions.

2. It doesn't make sense to bring an Orders along if you're going to be negating Orders with your build. That means giving up Blood Bond (which is now really remarkable party healing) and Mark of Fury (which helps a great deal with SY!). While these aren't damage, they certainly make a meaningful difference.

3. Most teams should have a MoP...

4. The damage difference isn't near as big as you think.

Example:

Assume foe is a level 28 paragon; your weapon is customized, 15^50, vamp scythe; max alliance ranks; 14 mastery; Scan, SoH @ 10; GDW; OoV @ 16.

CritChance = (0.01*14) + ((1 - (0.01*14)) * 0.5 * 2^(((8*20) + (4*14) + (6 * 12) - (15* 28) - 100) / 40))= 0.147717817

Non-Crit Average w/ AHoM = 1.75 * ((((9+41)/2) * 1.15 * 1.2 * 2^(((64+50)-104)/40)) + 20 + 18) + 5 = 143.29838 round= 143.

Crit w/ AHoM = 1.75 * ((((41+41)/2) * 1.15 * 1.2 * 2^(((64+50+20)-104)/40)) + 20 + 18) + 5 = 238.022717 round= 238.

Weighed average by crit chance w/ AoHM & Scan: (238 * 0.147717817) + (143 * (1- 0.147717817)) = 157.033193

Non-Crit Average w/ EBSoH & OoV = 1.75 * ((((9+41)/2) * 1.15 * 1.2 * 2^(((64+0)-104)/40)) + 20 + 18 + 15) + 17 + 5 = 144.9375 round= 145

Crit w/ EBSoH & OoV = 1.75 * ((((41+41)/2) * 1.15 * 1.2 * 2^(((64+0+20)-104)/40)) + 20 + 18 + 15) + 17 + 5 = 184.764178 round= 185

Weighed average by crit chance w/ EBSoH & OoV = (185 * 0.147717817) + (145 * (1 - 0.147717817)) = 150.908713

Difference is only ~6 damage/hit, which is more than made up for if there's one other ally in your EBSoH.

Also, Scan is a very big part of the damage difference. (AoHM multiples w/ Scan; OoV does not.) If the paragon were an off foe instead of the Scanned foe, then EBSoH+Orders actually pulls ahead ~95 damage/hit to ~92.

Against softer foes, AoHM performs better. For instance, if the Scanned foe were instead a lvl28 caster, then AoHM wins ~193 damage/hit to ~165. That's still a small enough difference that 2 allies in the EBSoH overcome it.

One final thing to note: Since AoHM is multiplicative, while EBSoH is additive, it loses a lot more from not having a max Kurz/Lux title rank (which is harder to get than Vanguard too). For that matter, it also loses more if you don't have max Asuran rank.

TLDR version on the math: AoHM usually does more damage than EBSoH+OoV, but not enough more to outweigh the damage done by two other allies in the EBSoH. Without Scan, AoHM may sometimes do less damage than EBSoH+OoV to start out with.

[edit: typo fix]