They didn't add up. In fact, I recieved a completely unexpected result.
The dervish beat the scythe sin.
I couldn't believe it, so I went and checked again. I couldn't find anything wrong with my calculations the second time around. So either I missed something, or the dervish just did the impossible. Either way, I'll put it all here so that you guys can inspect it and point out any flaws in my math.
Assuming 16 scythe mastery for derv
Assuming 12 scythe mastery for sin and 16 critical strikes
Assuming max ranks
Assuming derv is using By Ural's Hammer and Heart of Fury
Assuming sin is using Critical Agility
[AoHM][Asuran Scan][By Ural's Hammer][Heart of Fury]
[AoHM][Asuran Scan][Critical Agility][Critical Eye][Way of the Master]
Crit rate of derv with 16 scythe mastery is 22.9%
Crit rate of sin with 16 crit strikes and 12 scythe mastery is 17.0% + 16% = 33%
Way of the Master adds +35% to crit rate
Critical Eye adds 16% to crit rate
Total sin crit rate = 17+16+16+35=84%
Damage Rating (DR) (derv) = 5*12 + 2*(16-12) + 32 = 100
Damage Rating (DR) (sin) = 5*12 + 32 = 92
Average damage of scythe = 25 (avg of 9 and 41)
Raw damage (RD) = crit dmg + non-crit dmg
RD (derv) = 25*(1-.229) + 41*.229 = 28.664
RD (sin) = 25*(1-.84) + 41*.84 = 38.44
Effective Damage (ED) = RD*DMulti*AE
DMulti (derv)= 1.2(customized)*1.15(inscription)*1.75(AS)*1.25(Ur al) = 3.01875
DMulti (sin)=1.2(customized)*1.15(inscription)*1.75(AS)=2 .415
Armor Effect (AE) for 60 AL = 2^((DR-AL)/40)
Derv against 60 AL = 28.664*3.01875*2^((100-60)/40)=173.0589
DPS (derv) = 147.9135897
Sin against 60 AL = 38.44*2.415*2^((92-60)/40)=161.6309444
DPS (sin) = 138.1461063
It appears that in the other thread I was off by a bit in the decimals I used for some of the crit%s and I accidentally added in the Ural bonus for the sin even though it was using crit agility instead.
If we give the sin By Ural's Hammer instead of critical agility it looks like this:
DMulti is same as for derv
Sin against 60 AL = 202.0386806
DPS = 115.4506746
But then the sin is still doing less DPS because the derv is getting off 4 attacks for every 3 the sin does (or however many it is).
So the only options for IAS the sin has besides crit agility is Onslaught, Whirling Charge, and Pious Fury (none of which are 33%). the Sin isn't using his elite, so Onslaught seems the best (lasts as long as HoF). It requires speccing into wind prayers, though. So with a 12-9-10 spread (assuming a +1 to crit strikes from helment), the sin comes out this way:
crit rate = 17+11+23+10 = 61% crit rate
raw damage = 25*(1-.61) + 41*.61 = 34.76
other things are same, so...
ED = 34.76*3.01875*2^((92-60)/40)=182.6967881
DPS = 139.463197
Still not enough to beat the derv. And this is in addition to the fact that the derv's bar has more room for attack skills and those attack skills will do more damage than if a sin tried to use them thanks to higher scythe mastery.
So...unless I've made a mistake somewhere (if I have, somebody please correct me)...the dervish actually is better with a scythe than an assassin.
). When that's taken into account (despite the fact that crit rates are multiplicative; another thing I messed up on), the scythe sin wins out in damage by a mile, just as expected.
