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<blockquote data-quote="iwatt" data-source="post: 2487186" data-attributes="member: 11085">Orsal, I couldn't follow your math, so I'll present mine. It also ignoers what happens at extremes (1 only misses or 20 only hits).AD = Average Damage with weapon (dX+str+magic+misc)BD = Damage you're adding (+2 in this case)TR = threat range (i.e. 2 for 19-20/ 3 for 18-20, 1 for 20)ATR= Added Threat range (typcially a doubling from the previous)CM = Critical Multiplier (x2,x3,x4)NAD = NEW Average Damage....NAD = (AD+BD)*(1 + (TR+ATR)/20*(CM-1))There is two conditions you want to compare:I) BD=+2, ATR=0andI) ATR=ATR, BD=0ATR=Increasing the trheat range. I'll leave this value as avraiable since I want to see the effects when I include keen/Imp Crit stacking. If not, you can simply reduce ATR=TR.this leads to an equalityu condition that sets the break even point (the AD you must do to make the choise equal)AD=20*BD*(1+TR/20*(CM-1))/(ATR*(CM-1))or in this case in which BD=+2AD=20*BD*(1+TR/20*(CM-1))/(ATR*(CM-1))So Let's anlayze the following cases ICR= Initialt Critical rangeFCR= Final Critical range[CODE]&nbsp; ICR&nbsp; &nbsp; &nbsp; FCR&nbsp; &nbsp;&nbsp; AD20/x2&nbsp; &nbsp; 19/x2&nbsp; &nbsp; &nbsp; 42.020/x3&nbsp; &nbsp; 19/x3&nbsp; &nbsp; &nbsp; 22.020/x4&nbsp; &nbsp; 19/x4&nbsp; &nbsp; &nbsp; 15.319-20/x2&nbsp; &nbsp; 17-20/x2&nbsp; &nbsp; &nbsp; 22.018-20/x2&nbsp; &nbsp; 15-20/x2&nbsp; &nbsp; &nbsp; 15.319-20/x3&nbsp; &nbsp; 18-20/x3&nbsp; &nbsp; &nbsp; 24.019-20/x4&nbsp; &nbsp; 18-20/x4&nbsp; &nbsp; &nbsp; 17.317-20/x2&nbsp; &nbsp; 15-20/x2&nbsp; &nbsp; &nbsp; 24.015-20/x2&nbsp; &nbsp; 12-20/x2&nbsp; &nbsp; &nbsp; 17.3* are situation in which keen and Imp. Crit are allowed to stack.[/CODE]So that the Average damage that you do is of course the deciding factor in the choice.Of course the above analysis can be extrapolated to include a different Bonus damage, which will of course determine a differnet threshold. If you want to do an analysis for +1 BD v/s increased threat range just correct the treshold values of AD by 1/2. This method also allows you to compare the threshold values in which adding an ergy damge (BD=3.5) is equal to increasing the threat range:[CODE]&nbsp;ICR&nbsp; &nbsp;&nbsp; FCR&nbsp; &nbsp;&nbsp; AD20/x2&nbsp; &nbsp; 19/x2&nbsp; &nbsp; &nbsp; 73.520/x3&nbsp; &nbsp; 19/x3&nbsp; &nbsp; &nbsp; 38.520/x4&nbsp; &nbsp; 19/x4&nbsp; &nbsp; &nbsp; 26.819-20/x2&nbsp; &nbsp; 17-20/x2&nbsp; &nbsp; &nbsp; 38.518-20/x2&nbsp; &nbsp; 15-20/x2&nbsp; &nbsp; &nbsp; 26.819-20/x3&nbsp; &nbsp; 18-20/x3&nbsp; &nbsp; &nbsp; 42.0*19-20/x4&nbsp; &nbsp; 18-20/x4&nbsp; &nbsp; &nbsp; 30.3*17-20/x2&nbsp; &nbsp; 15-20/x2&nbsp; &nbsp; &nbsp; 42.0*15-20/x2&nbsp; &nbsp; 12-20/x2&nbsp; &nbsp; &nbsp; 30.3** are situation in which keen and Imp. Crit are allowed to stack.[/CODE]Which emphasizes that (barring energy resistance and mosntrous damage dealing ability) it's better to have a flaming axe than a keen axe in 3.5&nbsp; <img src="https://cdn.jsdelivr.net/joypixels/assets/8.0/png/unicode/64/1f600.png" class="smilie smilie--emoji" loading="lazy" width="64" height="64" alt=":D" title="Big grin&nbsp; &nbsp; :D"&nbsp; data-smilie="8"data-shortname=":D" /></blockquote>

[QUOTE="iwatt, post: 2487186, member: 11085"] Orsal, I couldn't follow your math, so I'll present mine. It also ignoers what happens at extremes (1 only misses or 20 only hits). AD = Average Damage with weapon (dX+str+magic+misc) BD = Damage you're adding (+2 in this case) TR = threat range (i.e. 2 for 19-20/ 3 for 18-20, 1 for 20) ATR= Added Threat range (typcially a doubling from the previous) CM = Critical Multiplier (x2,x3,x4) NAD = NEW Average Damage .... NAD = (AD+BD)*(1 + (TR+ATR)/20*(CM-1)) There is two conditions you want to compare: I) BD=+2, ATR=0 and I) ATR=ATR, BD=0 ATR=Increasing the trheat range. I'll leave this value as avraiable since I want to see the effects when I include keen/Imp Crit stacking. If not, you can simply reduce ATR=TR. this leads to an equalityu condition that sets the break even point (the AD you must do to make the choise equal) AD=20*BD*(1+TR/20*(CM-1))/(ATR*(CM-1)) or in this case in which BD=+2 AD=20*BD*(1+TR/20*(CM-1))/(ATR*(CM-1)) So Let's anlayze the following cases ICR= Initialt Critical range FCR= Final Critical range [CODE] ICR FCR AD 20/x2 19/x2 42.0 20/x3 19/x3 22.0 20/x4 19/x4 15.3 19-20/x2 17-20/x2 22.0 18-20/x2 15-20/x2 15.3 19-20/x3 18-20/x3 24.0 19-20/x4 18-20/x4 17.3 17-20/x2 15-20/x2 24.0 15-20/x2 12-20/x2 17.3 * are situation in which keen and Imp. Crit are allowed to stack. [/CODE] So that the Average damage that you do is of course the deciding factor in the choice. Of course the above analysis can be extrapolated to include a different Bonus damage, which will of course determine a differnet threshold. If you want to do an analysis for +1 BD v/s increased threat range just correct the treshold values of AD by 1/2. This method also allows you to compare the threshold values in which adding an ergy damge (BD=3.5) is equal to increasing the threat range: [CODE] ICR FCR AD 20/x2 19/x2 73.5 20/x3 19/x3 38.5 20/x4 19/x4 26.8 19-20/x2 17-20/x2 38.5 18-20/x2 15-20/x2 26.8 19-20/x3 18-20/x3 42.0* 19-20/x4 18-20/x4 30.3* 17-20/x2 15-20/x2 42.0* 15-20/x2 12-20/x2 30.3* * are situation in which keen and Imp. Crit are allowed to stack. [/CODE] Which emphasizes that (barring energy resistance and mosntrous damage dealing ability) it's better to have a flaming axe than a keen axe in 3.5 :D [/QUOTE]

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