Math check, Scim vs LS

[Matuse]

So, I'm fond of scimitars, and that they have nice lovely crit profiles is simply one more reason for them to be endearing. However, I don't much like elves, and the undying court capstone is just god awful.

So, for a pure 20 Sovereign Host FvS longswords vs scimitars, please check my math here. Basic assumptions:
Lightning II Holy/Shock/Shock for both weapons.
Imp Crit: Slashing
Bloodstone
20 str (so yea, not the melee monster to stomp all creation. Live with it.)
+2 class enhancement Longsword damage + Sov Host auto-feats
Proficiency is a non-issue for to hit.
Assume hit on a 2, crits confirmed on a 1.
Normalized spread of 20 attacks.

GS Scimitar: 1d8+5 15-20x2
GS Longsword: 1d10+5 17-20x2
Bloodstone: +6 crit dam
Str: +5 dam
Holy is identical on both weapons.
Shock is identical on both weapons.
Vorpal shock is identical on both weapons.
Lightning Strike is identical on both weapons.


Hit Scim : 4.5 scim, +5 bonus, +5 str=14.5
Crit Scim: 9 scim, +10 bonus, +10 str, +12 Bloodstone, +11 Shock=52

Hit LS : 5.5 LS, +5 bonus, +5 str, +4 FvS=19.5
Crit LS : 11 LS, +10 bonus, +10 str, +8 FvS, +12 Bloodstone, +11 Shock=62

Scim, 13 hits=188.5, 6 crits=312 = 500.5
LS, 15 hits=292.5, 4 crits=248 = 540.5

Did I miss anything?

[sirgog]

What you missed is assuming that you hit on a 2 with a non-proficient weapon. Might be true for level 17 stuff like Normal Shroud, but it is not true for endgame, especially on a 20 Str build.

The Longswords will hit more often, and as a result proc Lightning Strike more often too.

[Matuse]

Proficiency isn't an issue. That's fixable. There would be a +1 to-hit difference from the longsword focus auto-feat, but +1 isn't something I'm going to worry about.

Factoring in the full damage spread, and it's actually pretty close.

Hit Scim : 4.5 scim, +5 bonus, +5 str=14.5
Full Hit Scim: 4.5 scim, +5 bonus, +5 str, +7 holy, +3.5 shock=25
Crit Scim: 9 scim, +10 bonus, +10 str, +12 Bloodstone, +11 Shock=52
Full Crit Scim: 9 scim, +10 bonus, +10 str, +12 Bloodstone, +7 holy, +3.5 shock, +5.5 shock burst, +5.5 Shock Blast=62.5
Vorpal Scim: 9 scim, +10 bonus, +10 str, +12 Bloodstone, +7 holy, +3.5 shock, +5.5 shock burst, +5.5 shock blast, +14 vorpal=76.5

Hit LS : 5.5 LS, +5 bonus, +5 str, +4 FvS=19.5
Full Hit LS: 5.5 LS, +5 bonus, +5 str, +4 FvS, +7 Holy, +3.5 Shock=30
Crit LS : 11 LS, +10 bonus, +10 str, +8 FvS, +12 Bloodstone, +11 Shock=62
Full crit LS: 11 LS, +10 bonus, +10 str, +8 fvs, +12 bloodstone, +7 holy, +3.5 shock, +5.5 shock burst, +5.5 shock blast=72.5
Vorpal LS: 11 LS, +10 bonus, +10 str, +8 fvs, +12 bloodstone, +7 holy, +3.5 shock, +5.5 shock burst, +5.5 shock blast, +14 vorpal=86.5


Scim, 13 hits=188.5, 6 crits=312 = 500.5
LS, 15 hits=292.5, 4 crits=248 = 540.5

Full Damage Scim: 13 hits=325 5 crits=312.5 1 vorp=76.5 =714
Full Damage LS: 15 hits=450 3 crits=217.5 1 vorp=86.5 =754

...with bardsong, Claw set, or some other form of base damage increase, and the scimitar would catch up.

[AylinIsAwesome]

If you are opposed to Elves, but find Half Elves acceptable you might think about rolling Half Elf instead (and going Undying Court).

With the Rogue racial feat and 6 APs in U8, you'll be able to get 10.5 Sneak Attack damage before items, as well as the Human bonuses to STR and CON.

Even sticking with Sov. Host for the CLW capstone, that's stil 10.5 Sneak Attack you wouldn't be getting on a Human.

[Matuse]

Half elves are even less acceptable, even if I was inclined to spend the TP on them, which I wouldn't do even if they were on a 75% off sale. Spending more AP on melee is not my goal...if I was looking for a combatwombat, then I wouldn't be basing this on a 20 str character.

All I'm asking for is a MATH CHECK. Did I miss anything? Did I make a mistake?

[k1ngp1n]

Nm

[AylinIsAwesome]

Full Damage Scim: 13 hits=325 5 crits=312.5 1 vorp=76.5 =714
Full Damage LS: 15 hits=450 3 crits=217.5 1 vorp=86.5 =754

...with bardsong, Claw set, or some other form of base damage increase, and the scimitar would catch up.

I didn't see Divine Favour in your calculations, so including that gives:

Scimmy: 789
Longsword: 823


Epic Claw Set:

Scimmy: 889
Longsword: 915


+9 Bard Song:

Scimmy: 1114
Longsword: 1122


I can't think of anything else to throw in, except maybe putting you in Marilith Chain, giving you Litany or putting you in Epic Red Dragonscale. Maybe even adding in the Shintao set. I don't think you have enough STR for the wider crit range on the scimitar to be worth more than the +4 damage you get with longswords.