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<blockquote data-quote="aramis erak" data-source="post: 6502915" data-attributes="member: 6779310"><p>Mathematically, their worth is dependent upon damage die modification and Natural Roll needed.</p><p></p><p>It's worth explicating this for those who want an idea of the overall improvement...</p><p></p><p>The raw improvement in average damage by raw TN needed, assuming no resistance. Resistance adds considerably more. If there's resistance, a high level fighter might need only a 2+ to hit a low-CR but resistant target, and then that +1 weapon is a huge improvement in average damage.</p><p></p><p>A typical case: Tier 1 fighter, +5 to hit, +3 damage, 1d8 weapon, average damage thus 7.5</p><p></p><p>Target 1: AC 13, non resistant.</p><p>Needs natural 8+, for a 65% chance of hit (CoH), and an average Damage per Hit (DPH) of 7.5, for an average damage per attack (DPA) of 4.875.</p><p>+1 weapon is 7+, 70% CoH, DPH=8.5, DPA=5.95; improvement is 22%.</p><p></p><p>Target 2: AC 13, resistant to slash</p><p>Needs 8+, 65% CoH, but DPH is much lower... DPH= 3.5 =(2,2,3,3,4,4,5,5)/8. DPA thus 2.275 (= 0.65 * 3.5)</p><p>The +1 weapon is still 70% CoH, DPH = 8.5, DPA = 5.95, improvement 161% (=(5.95/2.275)-1)</p><p></p><p>Target 3: Another fighter... AC 20. (Chain, shield, defensive style)</p><p>Needs nat 15+ to hit, CoH=0.25, DPH=7.5, DPA = 1.875</p><p>+1 needs 14+, CoH 0.3, DPH=8.5, DPA= 2.55, improvement = 36%</p><p></p><p>Target 4: same fighter, but the enemy warlock's made him resistant...</p><p>Non-magic CoH=25%, DPH again 3.5, DPA=0.875 (that's quite a drop)</p><p>+1 still 14+, CoH=30%, DPH=8.5, DPA=2.55, a 191% improvement in average damage per attack.</p><p></p><p>Ain't pretty, but it shows the principles, and just how freaking valuable that +1 sword is. 20% to 40% range vs normal targets, and 150% to 250% vs resistant ones.</p><p>(Note also: A +0 sword is a 0% improvement if the target isn't resistant, but it's +100% vs resistant targets)...</p></blockquote><p></p>
[QUOTE="aramis erak, post: 6502915, member: 6779310"] Mathematically, their worth is dependent upon damage die modification and Natural Roll needed. It's worth explicating this for those who want an idea of the overall improvement... The raw improvement in average damage by raw TN needed, assuming no resistance. Resistance adds considerably more. If there's resistance, a high level fighter might need only a 2+ to hit a low-CR but resistant target, and then that +1 weapon is a huge improvement in average damage. A typical case: Tier 1 fighter, +5 to hit, +3 damage, 1d8 weapon, average damage thus 7.5 Target 1: AC 13, non resistant. Needs natural 8+, for a 65% chance of hit (CoH), and an average Damage per Hit (DPH) of 7.5, for an average damage per attack (DPA) of 4.875. +1 weapon is 7+, 70% CoH, DPH=8.5, DPA=5.95; improvement is 22%. Target 2: AC 13, resistant to slash Needs 8+, 65% CoH, but DPH is much lower... DPH= 3.5 =(2,2,3,3,4,4,5,5)/8. DPA thus 2.275 (= 0.65 * 3.5) The +1 weapon is still 70% CoH, DPH = 8.5, DPA = 5.95, improvement 161% (=(5.95/2.275)-1) Target 3: Another fighter... AC 20. (Chain, shield, defensive style) Needs nat 15+ to hit, CoH=0.25, DPH=7.5, DPA = 1.875 +1 needs 14+, CoH 0.3, DPH=8.5, DPA= 2.55, improvement = 36% Target 4: same fighter, but the enemy warlock's made him resistant... Non-magic CoH=25%, DPH again 3.5, DPA=0.875 (that's quite a drop) +1 still 14+, CoH=30%, DPH=8.5, DPA=2.55, a 191% improvement in average damage per attack. Ain't pretty, but it shows the principles, and just how freaking valuable that +1 sword is. 20% to 40% range vs normal targets, and 150% to 250% vs resistant ones. (Note also: A +0 sword is a 0% improvement if the target isn't resistant, but it's +100% vs resistant targets)... [/QUOTE]
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