Hiest, monkey
2009-11-23, 09:15 PM
A friend of mine is a bit of a math wiz, and a huge fan of statistics.
Together (mostly just him) we crafted a series of equations for your character's "damage per round" or DPR. DPR is 6 times your DPS, if you must know.
Without further ado:
The variables:
AC: Armor Class of the enemy in question. (for calculating damage to an average AC, assume 14 + character level)
AB: Attack Bonus with the selected weapon. Remember to factor in "unusual size" penalties, and tower shield penalties.
PA: Amount your charater power attacks for (count this variable as zero for the purposes of characters who do not power attack)
DA: Average Damage with selected weapon. To calculate average damage divide the max value of the die in question by two and add 0.5 to it. Multiply this value by the number of dice. Then add all other bonuses, such as strength, sneak attack etc etc. Example: a half-orc fighter with a strength of 20 and a 3d6 large greataxe deals an average damage (on a hit) of 17.5, (((6+1)/2)*3) + 1.5 * str (5).:smalleek:
DC: is not Difficulty Class. Damage per crit is the multiplier you apply on a crit. ex: a large greataxe deals *3 damage on a crit.
CC: 25 miligrams of critical chance, stat! CC is the critical chance. 1/20 for a weapon that crits on a 20. 2/20 for a (19-20) weapon. For quick reference: 1/20 is 0.05. 2/20 is 0.1. 3/20 is some ridiculous repeating decimal (just use the fraction) If a creature doesn' take critical damage, count the crit chance as 0.
DR: Damage Reduction of enemy. DR Sucks. Carry a silvered weapon at all times. Alternitevely, use the caster as an improvised greatclub, magic bypasses a lot of creatures' DR.
The equation for a melee fighter (not necissarily the "fighter" class):
(((21-AC+AB-PA)/20)*(DA+PA) + ((DC-1)*CC*(DA + PA)*((21-AC+AB-PA)/20))) -DR
There is also a specific equation for our ranged rogue who uses a repeating crossbow and uses rapid shot. Factoring in that he needs to reload. You really don't want to know.:smalltongue:
Example: a 4th level Half-Orc Fighter with 20 strength, wielding a large-sized greataxe (3d6 and x3 critical) not power attacking deals an average DPR of
((21-18+8)/20)*17.5 + ((3-1)*.05*17.5*((21-18 + 8)/20))) or 10.58 DPR (1.76 DPS, if you must)
I guess I could post the ranged equation, but it causes insanity upon extended viewing.
Together (mostly just him) we crafted a series of equations for your character's "damage per round" or DPR. DPR is 6 times your DPS, if you must know.
Without further ado:
The variables:
AC: Armor Class of the enemy in question. (for calculating damage to an average AC, assume 14 + character level)
AB: Attack Bonus with the selected weapon. Remember to factor in "unusual size" penalties, and tower shield penalties.
PA: Amount your charater power attacks for (count this variable as zero for the purposes of characters who do not power attack)
DA: Average Damage with selected weapon. To calculate average damage divide the max value of the die in question by two and add 0.5 to it. Multiply this value by the number of dice. Then add all other bonuses, such as strength, sneak attack etc etc. Example: a half-orc fighter with a strength of 20 and a 3d6 large greataxe deals an average damage (on a hit) of 17.5, (((6+1)/2)*3) + 1.5 * str (5).:smalleek:
DC: is not Difficulty Class. Damage per crit is the multiplier you apply on a crit. ex: a large greataxe deals *3 damage on a crit.
CC: 25 miligrams of critical chance, stat! CC is the critical chance. 1/20 for a weapon that crits on a 20. 2/20 for a (19-20) weapon. For quick reference: 1/20 is 0.05. 2/20 is 0.1. 3/20 is some ridiculous repeating decimal (just use the fraction) If a creature doesn' take critical damage, count the crit chance as 0.
DR: Damage Reduction of enemy. DR Sucks. Carry a silvered weapon at all times. Alternitevely, use the caster as an improvised greatclub, magic bypasses a lot of creatures' DR.
The equation for a melee fighter (not necissarily the "fighter" class):
(((21-AC+AB-PA)/20)*(DA+PA) + ((DC-1)*CC*(DA + PA)*((21-AC+AB-PA)/20))) -DR
There is also a specific equation for our ranged rogue who uses a repeating crossbow and uses rapid shot. Factoring in that he needs to reload. You really don't want to know.:smalltongue:
Example: a 4th level Half-Orc Fighter with 20 strength, wielding a large-sized greataxe (3d6 and x3 critical) not power attacking deals an average DPR of
((21-18+8)/20)*17.5 + ((3-1)*.05*17.5*((21-18 + 8)/20))) or 10.58 DPR (1.76 DPS, if you must)
I guess I could post the ranged equation, but it causes insanity upon extended viewing.