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Great Weapon Mastery - once more into the breach! (with math)
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<blockquote data-quote="Hillsy7" data-source="post: 7199882" data-attributes="member: 6689191"><p>Just been running some numbers and the output surprised me somewhat……(Disclaimer - this was all done on excel using macros, so none of the calculations will be off, only the base assumptions)</p><p></p><p>The Precision Featless Vs Precision GWM can be viewed very simply by focusing on Total Damage per short rest</p><p></p><p>Roughly speaking, SD are a Short rest resource. DPR means nothing long term if your SD use is a slim fraction of non-SD use. So let’s ping out the numbers as per the DMG for a fighter with 3 attacks.</p><p>A=Attacks per Round, D=Damage per Attack, H=Hit probability, R=Rounds per combat, C=Combats per Short Rest……</p><p></p><p>Total Damage per short rest (No SD) = A*D*R*C*H</p><p>Total Damage per short Rest (with SD) = (A*D*R*C*H) + (6*D)</p><p><em>[So cancelling out, you can see that the “true” benefit of precision is the ratio of (A*R*C*H) Vs 6 (to be adjusted for likelihood of precision turning a miss to a hit). The more you hit between Short Rests, the less beneficial Precision is……]</em></p><p>Now we know A (3), and we can get R and C from the DMG: (roughly) 5-6 rounds per combat, 2-3 combats per short rest. Therefore A*R*C = 3*2.5*5.5 = ~40. So with 40 dice rolls we can assume each value is rolled twice. Using a target value that’s likely to be somewhere between 4 and 16 we can reasonably (regardless of H) assume you will be using precision to correct for two 1s’, two 2’s and two 3’s. Therefore, we can adjust for likelihood of precision turning a miss to a hit (1+1+0.875+0.875+0.75-0.75). So 5.25 additional D……</p><p></p><p>So let’s get back to our comparison (Because Advantage is assumed, H is quite high) (Vs AC 19 with +11 Attack bonus)</p><p><em><span style="color: #0000CD">Fred Featless: H=90%</span></em></p><p><em><span style="color: #0000CD">Gwen Great Weapon Mistress: h=65%</span></em></p><p>So a rough Comparison with all things being equal and 40 attacks per short rest gives the following Total hits per Short Rest (If Fred doesn’t miss enough to spend SD, I’ve used Riposte to add attacks)</p><p><em><span style="color: #0000CD">Fred: 3*2.5*5.5*0.9=41.1</span></em></p><p><em><span style="color: #0000CD">Gwen: 3*2.5*5.5*0.65=31.6</span></em></p><p>Therefore, Gwen gains 5.25 more hits than Fred, or a 17% top up on Damage per Short Rest. Fred only Gains 12.6%. Also you can see that using precision for Fred is much better than just adding SD as damage as turning a close miss to a hit 5.25/6 times with a base damage around 15, is much better than adding a single SD dice on a hit.</p><p></p><p>So there you go. The benefit of Precision Vs Precision + GWM = Total Damage per Short Rest ratio of 1.167:1.126</p><p></p><p>However, add it all together (assuming Fred’s Damage = 20 and Gwen = 30) and Gwen is only popping roughly 13% more damage than Fred. This narrows slightly the more Ripostes (Less than 6 misses per short rest) Fred can do.</p></blockquote><p></p>
[QUOTE="Hillsy7, post: 7199882, member: 6689191"] Just been running some numbers and the output surprised me somewhat……(Disclaimer - this was all done on excel using macros, so none of the calculations will be off, only the base assumptions) The Precision Featless Vs Precision GWM can be viewed very simply by focusing on Total Damage per short rest Roughly speaking, SD are a Short rest resource. DPR means nothing long term if your SD use is a slim fraction of non-SD use. So let’s ping out the numbers as per the DMG for a fighter with 3 attacks. A=Attacks per Round, D=Damage per Attack, H=Hit probability, R=Rounds per combat, C=Combats per Short Rest…… Total Damage per short rest (No SD) = A*D*R*C*H Total Damage per short Rest (with SD) = (A*D*R*C*H) + (6*D) [I][So cancelling out, you can see that the “true” benefit of precision is the ratio of (A*R*C*H) Vs 6 (to be adjusted for likelihood of precision turning a miss to a hit). The more you hit between Short Rests, the less beneficial Precision is……][/I] Now we know A (3), and we can get R and C from the DMG: (roughly) 5-6 rounds per combat, 2-3 combats per short rest. Therefore A*R*C = 3*2.5*5.5 = ~40. So with 40 dice rolls we can assume each value is rolled twice. Using a target value that’s likely to be somewhere between 4 and 16 we can reasonably (regardless of H) assume you will be using precision to correct for two 1s’, two 2’s and two 3’s. Therefore, we can adjust for likelihood of precision turning a miss to a hit (1+1+0.875+0.875+0.75-0.75). So 5.25 additional D…… So let’s get back to our comparison (Because Advantage is assumed, H is quite high) (Vs AC 19 with +11 Attack bonus) [I][COLOR="#0000CD"]Fred Featless: H=90% Gwen Great Weapon Mistress: h=65%[/COLOR][/I] So a rough Comparison with all things being equal and 40 attacks per short rest gives the following Total hits per Short Rest (If Fred doesn’t miss enough to spend SD, I’ve used Riposte to add attacks) [I][COLOR="#0000CD"]Fred: 3*2.5*5.5*0.9=41.1 Gwen: 3*2.5*5.5*0.65=31.6[/COLOR][/I] Therefore, Gwen gains 5.25 more hits than Fred, or a 17% top up on Damage per Short Rest. Fred only Gains 12.6%. Also you can see that using precision for Fred is much better than just adding SD as damage as turning a close miss to a hit 5.25/6 times with a base damage around 15, is much better than adding a single SD dice on a hit. So there you go. The benefit of Precision Vs Precision + GWM = Total Damage per Short Rest ratio of 1.167:1.126 However, add it all together (assuming Fred’s Damage = 20 and Gwen = 30) and Gwen is only popping roughly 13% more damage than Fred. This narrows slightly the more Ripostes (Less than 6 misses per short rest) Fred can do. [/QUOTE]
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