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General Tabletop Discussion
D&D Older Editions, OSR, & D&D Variants
[3.5] Crit stacking?
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<blockquote data-quote="Mike Sullivan" data-source="post: 1004551" data-attributes="member: 9824"><p>Yup.</p><p></p><p></p><p></p><p>Yup.</p><p></p><p></p><p></p><p>I was assuming a fully-upgraded scythe and greatsword for the 3.0 case (since that's where it differs from 3.5): In other words, a <em>keen</em> scythe whose wielder has improved critical (or, alternatively, a scythe whose wielder has improved critical and who has cast <em>keen edge</em> on it), and similarly, a <em>keen</em> greatsword whose wielder has improved critical.</p><p></p><p>Thus, the scythe has a range of 18-20/x4, and the greatsword has a range of 15-20/x2. That means that 15% of the scythe's hits are criticals, which means that its damage can be expressed (if its damage is "y") as .85y + .15*4*y = .85y + .6y = 1.45y.</p><p></p><p>Similarly, the greatsword crits on 30% of all of its hits, and does twice its normal damage on crits, so its damage is exprssed as: .7y + .3*2*y = .7y + .6y = 1.3y.</p><p></p><p>If we were looking at unupgraded weapons (in either 3.0 or 3.5, which are identical in this case), then the inequality would be as follows (you'll see your ten percent figure here -- by the way, it's exactly 10% of all hits, though it's not exactly 10% of all attacks):</p><p></p><p>1.15 ( 5 + x) > 1.1 (7 + x)</p><p>5.75 + 1.15x > 7.7 + 1.1x</p><p>.05x > 1.95</p><p>x > 39</p><p></p><p>So, that would mean that you'd need a +40 damage bonus to make a scythe or falchion worthwhile if you had neither <em>keen</em> nor improved critical.</p><p></p><p>And, similarly for rapiers/picks versus longswords:</p><p></p><p>1.15 (3.5 + x) > 1.1 (4.5 + x)</p><p>4.025 + 1.15x > 4.95 + 1.1x</p><p>.05x > .925</p><p>x > 18.5</p><p></p><p>So you'd need a +19 damage bonus to make a pick or rapier worthwhile over a longsword, if you had neither <em>keen</em> nor improved critical.</p></blockquote><p></p>
[QUOTE="Mike Sullivan, post: 1004551, member: 9824"] Yup. Yup. I was assuming a fully-upgraded scythe and greatsword for the 3.0 case (since that's where it differs from 3.5): In other words, a [i]keen[/i] scythe whose wielder has improved critical (or, alternatively, a scythe whose wielder has improved critical and who has cast [i]keen edge[/i] on it), and similarly, a [i]keen[/i] greatsword whose wielder has improved critical. Thus, the scythe has a range of 18-20/x4, and the greatsword has a range of 15-20/x2. That means that 15% of the scythe's hits are criticals, which means that its damage can be expressed (if its damage is "y") as .85y + .15*4*y = .85y + .6y = 1.45y. Similarly, the greatsword crits on 30% of all of its hits, and does twice its normal damage on crits, so its damage is exprssed as: .7y + .3*2*y = .7y + .6y = 1.3y. If we were looking at unupgraded weapons (in either 3.0 or 3.5, which are identical in this case), then the inequality would be as follows (you'll see your ten percent figure here -- by the way, it's exactly 10% of all hits, though it's not exactly 10% of all attacks): 1.15 ( 5 + x) > 1.1 (7 + x) 5.75 + 1.15x > 7.7 + 1.1x .05x > 1.95 x > 39 So, that would mean that you'd need a +40 damage bonus to make a scythe or falchion worthwhile if you had neither [i]keen[/i] nor improved critical. And, similarly for rapiers/picks versus longswords: 1.15 (3.5 + x) > 1.1 (4.5 + x) 4.025 + 1.15x > 4.95 + 1.1x .05x > .925 x > 18.5 So you'd need a +19 damage bonus to make a pick or rapier worthwhile over a longsword, if you had neither [i]keen[/i] nor improved critical. [/QUOTE]
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[3.5] Crit stacking?
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