DazEvil's page

Ok - so I think i'm a bit rusty in my math. Tell me if Im wrong?

Situation have to pick either greatsword (2d6/19-20/x2) or a falcion (2d4/18-20/x2)
We assume imp critical + cirtical focus.
Which is the better weapon?
Assuming 30% to hit a monster... (50% chance to confirm a hit)
Greatsword
2d6 = 7, x = base dam (PA, STR enchantments) so dam is (7+x), on a succesful cit (which will happen 10% af the time (20% of hits will be crits, only 50% will be comfirmed) is does extra dam.
So dam will be:
110(X+7)
Falcio
2d4 = 5, 15% of the hits will be comfirmed crits.
115(X+5)

So what should the base dam (x) be to make the two weapons equally good?

110(X+7) = 115(X+5)
110X +770 = 115X +575
5x = 195
x= 39

Is my math skills bad?

The way you are doing the calculations, you aren't calculating the effect of the larger crit-range of the Falcion. If you set the base tohit at 30%, every single hit from the falcion will be a threat (15-20), while a 15 or a 16 from a greatsword will be a normal hit.

If we do the calculations assuming we roll each number-20 once, and that a crit adds 50% damage, we get:

Falcion: (14*0+6*1,5)*(x+5)= 9*(x+5)
Greatsword: (14*0+2*1+4*1,5)*(x+7)= 8*(x+7)

9x+45=8x+56
x=11

So if your str*1½+enchantment+PA is greater than 11, end the target isn't immune to crits, the falcion is better.

You can go a bit higher by using SF/GSF, Elemental focus, Greater elemental focus, arcane bloodline and Spell perfection:

Old Gnome Sorcerer with the Arcane Bloodline
Base= DC 10
Spellevel(9th)= +9 DC
Cha: 20+5(Manual)+5(Levels)+6(Item)+2(Age)=38 -> +14 DC
SF/GFS= +2 DC
Elemental focus/Greater Elemental Focus= +2 DC
Arcane Bloodline= +2 DC
Spell Perfection= +4 DC (Doubling the bonuses from GSF and Greater Elemental Focus)

Final DC= 10+9+14+2+2+2+4=43

Now this only works on a single spell that has an elemental descriptor. It can be boosted to 44 or 45 if there was a spell with an elemental descriptor, and at the same time was language dependant and of the Illusion school.