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General Tabletop Discussion
*Pathfinder & Starfinder
Power Attack, Two Handed Weapons and Crit
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<blockquote data-quote="frisbeet" data-source="post: 2022677" data-attributes="member: 10287"><p>Thanks for the kind words. Never fear, my site activity will decay down to a couple hits/day. </p><p></p><p>As for the Falchion/Greatsword debate, there is a somewhat useful formula for average weapon damage/automatic hit against opponents when you need <= your lowest threat # to hit their AC (got that?):</p><p></p><p>(1 + C/20*(M - 1)) * D.</p><p></p><p>C = threat range</p><p>M = multiplier</p><p>D = average weapon damage + damage bonus (db)</p><p></p><p>For a falchion, that's (1 + 3/20*(2-1))*(5 + db) = 1.15*(5 + db) </p><p>= 5.75 + 1.15*db</p><p></p><p>For a greatsword, it's (1 + 2/20*(2-1))*(7 + db) = 1.1*(7 + db) </p><p>= 7.7 + 1.1*db</p><p></p><p>Clearly, when db is low the greatsword does more damage (plug in 0 for db to check). Set these two equations equal to each other to find when falchion wins.</p><p></p><p>5.75 + 1.15*db = 7.7 + 1.1*db</p><p></p><p>db = 1.95/0.05</p><p></p><p>db = 39</p><p></p><p>When you're doing db of +39 or better, the falchion wins--and not by much. Rearranging the equation gives the falchion/greatsword straight line damage-difference equation:</p><p></p><p>(Fdam - Gdam) = 0.05db - 1.95</p><p></p><p>When your db is +100 (Wow!), that's a whopping 3.05 average hit point damage/hit difference. Improved critical increases this difference. Then the turnover point is around db=20.</p><p></p><p>Edit: This does NOT explicitly take into account power attack. Implicitly, it can as PA adds directly to db. The caveat is, this formula is incorect when you consider "automatic hitting" against opponents when a roll > threat range is needed (only a 20 hits, for example). The PA hit penalty will thus exclude a greater set of opponents from consideration. It this case, you're better off with the numerical approach as calculated by spreadsheets like the one on my site.</p></blockquote><p></p>
[QUOTE="frisbeet, post: 2022677, member: 10287"] Thanks for the kind words. Never fear, my site activity will decay down to a couple hits/day. As for the Falchion/Greatsword debate, there is a somewhat useful formula for average weapon damage/automatic hit against opponents when you need <= your lowest threat # to hit their AC (got that?): (1 + C/20*(M - 1)) * D. C = threat range M = multiplier D = average weapon damage + damage bonus (db) For a falchion, that's (1 + 3/20*(2-1))*(5 + db) = 1.15*(5 + db) = 5.75 + 1.15*db For a greatsword, it's (1 + 2/20*(2-1))*(7 + db) = 1.1*(7 + db) = 7.7 + 1.1*db Clearly, when db is low the greatsword does more damage (plug in 0 for db to check). Set these two equations equal to each other to find when falchion wins. 5.75 + 1.15*db = 7.7 + 1.1*db db = 1.95/0.05 db = 39 When you're doing db of +39 or better, the falchion wins--and not by much. Rearranging the equation gives the falchion/greatsword straight line damage-difference equation: (Fdam - Gdam) = 0.05db - 1.95 When your db is +100 (Wow!), that's a whopping 3.05 average hit point damage/hit difference. Improved critical increases this difference. Then the turnover point is around db=20. Edit: This does NOT explicitly take into account power attack. Implicitly, it can as PA adds directly to db. The caveat is, this formula is incorect when you consider "automatic hitting" against opponents when a roll > threat range is needed (only a 20 hits, for example). The PA hit penalty will thus exclude a greater set of opponents from consideration. It this case, you're better off with the numerical approach as calculated by spreadsheets like the one on my site. [/QUOTE]
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Power Attack, Two Handed Weapons and Crit
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