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Spell/Rule Changes from 3.0 to 3.5 -- How did we survive 3.0?
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<blockquote data-quote="Bauglir" data-source="post: 1792175" data-attributes="member: 6982"><p>Apologies on the str bonus gaffe - I was adding 8 when I should have been adding 7.</p><p></p><p>You've got a gaffe in there too though - the greatsword base damage is off (7 + 7 + 2 + 2 != 16)</p><p></p><p></p><p></p><p>A valid point certainly, something I forgot to mention when I was typing out my post earlier - the situation is such that Bob has an equal chance to hit with either weapon - this (in theory, I think) should make the chance to hit irrelevant, as varying the target AC will just scale the values - the relative margin should stay the same (as such I just examined damage).</p><p></p><p>This is, thinking about it some more, not true. Bob is assumed to benefit from a crit range of 12-20 with the falchion, however if the target AC means that Bob requires a 13 or higher to hit, he won't enjoy the full crit range (as I believe the initial roll must both hit the target AC and threaten a critical).</p><p></p><p>Assuming Bob needs to roll a 5 or better to hit the target:</p><p>Greatsword: (7 + 7 + 2 + 2 + 3.5) * 0.75 * 1.2 = 19.35</p><p>Falchion: (5 + 7 + 2 + 2) *0.75 * 1.45 = 17.4</p><p>Falchion Expected Damage is 88.9% of Greatsword ED</p><p></p><p>Assuming Bob needs to roll an 11 or better to hit the target:</p><p>Greatsword: (7 + 7 + 2 + 2 + 3.5) * 0.5 * 1.2 = 12.9</p><p>Falchion: (5 + 7 + 2 + 2) *0.5 * 1.45 = 11.6</p><p>Falchion ED is 88.9% of Greatsword ED</p><p></p><p>Assuming Bob needs to roll a 16 or better</p><p>Greatsword: (7 + 7 + 2 + 2 + 3.5) * 0.25 * 1.2 = 6.45</p><p>Falchion: (5 + 7 + 2 + 2) * 0.25 * <strong>1.25</strong> = 5</p><p>Falchion ED is 77.5% of Greatsword ED</p><p></p><p>The falchion starts off worse than the greatsword, and drops as the target AC climbs.</p><p></p><p>Patryn, does your chart take this factor into account?</p><p></p><p>Another bit of calculation - the break-even point:</p><p>Greatsword (7+x+3.5) * 1.2</p><p>Falchion: (5+x) * 1.45</p><p></p><p>Breaks even at x = 21.4</p><p>(Point of interest: without stacking criticals, x is a whopping 61)</p><p>(Point of interest 2: without stacking criticals, and remembering to drop both the keen and the flaming enchantments, x comes back down to a much more reasonable 19)</p><p></p><p>So..</p><p></p><p>Bob gains a few levels, and now has a strength of 30, and wields:</p><p>Falchion +2 holy keen</p><p>Greatsword +2 holy flaming</p><p></p><p>Greatsword damage: (7 + 15 + 2 + 2 + 7 + 3.5) * 1.2 = 43.8</p><p>Falchion damage: (5 + 15 + 2 + 2 + 7) * 1.45 = 44.95</p><p></p><p>The Falchion is now outstripping the Greatsword on expected damage, and the margin will continue to grow as Bob reaches epic levels, gains GWS or uses Power Attack, and weapon abilities continue to add up. Nonetheless, due to the above effect, the Falchion's lead will quickly evaporate against hard to hit targets. On top of this, crit immunity is ever present (and arguably more common at higher levels, where heavily fortified armour can be more easily afforded). So the Falchion can at very high levels outstrip the greatsword, sometimes. That's <em>with</em> stacking criticals, and to me it looks pretty balanced, all things considered. (mixing additive bonuses and multiplicative bonuses inevitably causes headaches IMO)</p><p></p><p>Without stacking criticals, the Falchion passes the Greatsword earlier on the damage curve, but, I suspect at a slower rate of increase (Patryn one of your charts would come in handy here)</p><p></p><p>(Disclaimer: Apologies in advance for maths errors. I'm tired <img src="https://cdn.jsdelivr.net/joypixels/assets/8.0/png/unicode/64/1f61b.png" class="smilie smilie--emoji" loading="lazy" width="64" height="64" alt=":p" title="Stick out tongue :p" data-smilie="7"data-shortname=":p" />)</p></blockquote><p></p>
[QUOTE="Bauglir, post: 1792175, member: 6982"] Apologies on the str bonus gaffe - I was adding 8 when I should have been adding 7. You've got a gaffe in there too though - the greatsword base damage is off (7 + 7 + 2 + 2 != 16) A valid point certainly, something I forgot to mention when I was typing out my post earlier - the situation is such that Bob has an equal chance to hit with either weapon - this (in theory, I think) should make the chance to hit irrelevant, as varying the target AC will just scale the values - the relative margin should stay the same (as such I just examined damage). This is, thinking about it some more, not true. Bob is assumed to benefit from a crit range of 12-20 with the falchion, however if the target AC means that Bob requires a 13 or higher to hit, he won't enjoy the full crit range (as I believe the initial roll must both hit the target AC and threaten a critical). Assuming Bob needs to roll a 5 or better to hit the target: Greatsword: (7 + 7 + 2 + 2 + 3.5) * 0.75 * 1.2 = 19.35 Falchion: (5 + 7 + 2 + 2) *0.75 * 1.45 = 17.4 Falchion Expected Damage is 88.9% of Greatsword ED Assuming Bob needs to roll an 11 or better to hit the target: Greatsword: (7 + 7 + 2 + 2 + 3.5) * 0.5 * 1.2 = 12.9 Falchion: (5 + 7 + 2 + 2) *0.5 * 1.45 = 11.6 Falchion ED is 88.9% of Greatsword ED Assuming Bob needs to roll a 16 or better Greatsword: (7 + 7 + 2 + 2 + 3.5) * 0.25 * 1.2 = 6.45 Falchion: (5 + 7 + 2 + 2) * 0.25 * [b]1.25[/b] = 5 Falchion ED is 77.5% of Greatsword ED The falchion starts off worse than the greatsword, and drops as the target AC climbs. Patryn, does your chart take this factor into account? Another bit of calculation - the break-even point: Greatsword (7+x+3.5) * 1.2 Falchion: (5+x) * 1.45 Breaks even at x = 21.4 (Point of interest: without stacking criticals, x is a whopping 61) (Point of interest 2: without stacking criticals, and remembering to drop both the keen and the flaming enchantments, x comes back down to a much more reasonable 19) So.. Bob gains a few levels, and now has a strength of 30, and wields: Falchion +2 holy keen Greatsword +2 holy flaming Greatsword damage: (7 + 15 + 2 + 2 + 7 + 3.5) * 1.2 = 43.8 Falchion damage: (5 + 15 + 2 + 2 + 7) * 1.45 = 44.95 The Falchion is now outstripping the Greatsword on expected damage, and the margin will continue to grow as Bob reaches epic levels, gains GWS or uses Power Attack, and weapon abilities continue to add up. Nonetheless, due to the above effect, the Falchion's lead will quickly evaporate against hard to hit targets. On top of this, crit immunity is ever present (and arguably more common at higher levels, where heavily fortified armour can be more easily afforded). So the Falchion can at very high levels outstrip the greatsword, sometimes. That's [i]with[/i] stacking criticals, and to me it looks pretty balanced, all things considered. (mixing additive bonuses and multiplicative bonuses inevitably causes headaches IMO) Without stacking criticals, the Falchion passes the Greatsword earlier on the damage curve, but, I suspect at a slower rate of increase (Patryn one of your charts would come in handy here) (Disclaimer: Apologies in advance for maths errors. I'm tired :p) [/QUOTE]
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