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Challenging Challenge Ratings...again
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<blockquote data-quote="Kerrick" data-source="post: 4186932" data-attributes="member: 4722"><p>I did a quick look through the books, and I can't find <em>anything</em> that grants a sacred or profane bonus to AC. I'm not sure those two <em>can</em> be applied to AC. Consecrate/desecrate and (un)hallow add to Charisma checks to turn/rebuke undead... and that's all I could find. Considering those bonuses are so incredibly rare that only four spells use them, that's a very good case for dropping them entirely.</p><p></p><p></p><p>That doesn't mean anything. UK uses a different NA formula; the balor, frex, is listed as having +19 NA in the Monster Manual, while UK's balor has +12.</p><p></p><p></p><p>Your formula's off on a few points. It took me a few hours to figure it out, but I was scribbling stuff by hand in my notebook. <img src="https://cdn.jsdelivr.net/joypixels/assets/8.0/png/unicode/64/1f641.png" class="smilie smilie--emoji" loading="lazy" width="64" height="64" alt=":(" title="Frown :(" data-smilie="3"data-shortname=":(" /> First, I'm looking for a raw percentage chance to hit a given AC, so I can't use the +10 - that skews everything. Second, you failed to take into account that while stat boosts do occur every 8 (and item bonuses are every 3), you forgot that it takes TWO points to boost the AB, not 1. And finally, weapon bonus is 1/3 levels, but like you said - only half of that is going to be applied to the actual bonus, so it should be 1/6. I decided to leave stat boosts at 1/8, as it accounts for inherent bonuses as well.</p><p></p><p>So, once I changed Y to equal the total attack bonus (TAB) corrected the formula, I got:</p><p></p><p>Y = X + (X/8)* + (X/6) + (X/6). I compared that to the assumed AC for a monster of the same CR (using UK's formula) to get the percentage chance to hit.</p><p></p><p>A few things I found:</p><p></p><p>An epic monster's AC = CR + 20.</p><p></p><p>Good AB (not BAB) increases by ~+7 every 5 levels, which keeps up with monster ACs till 20th (it's 45% at every level); after that, monster ACs increase by only 1/level, so AB quickly overtakes AC. If you use the EAB, the hit chance remains the same, then starts alternating between 45% and 40% at L35th (it goes down to 40% at 35th, then back up at 40th, etc.).</p><p></p><p>Medium AB increases by ~+6 per 5 levels, which means the chances of hitting anything go down until you hit 20th (15%), then slowly go back up. If you use the EAB, it goes up to 20% at L25, then up to 25% at L30, down to 20% at L35, etc.</p><p></p><p>I didn't bother with Low AB, since mages typically apply stat and item boosts to spellcasting stats, and they're not involved in melee.</p><p></p><p>And finally... I found a way to fix the Ftr 20/Wiz 20 vs. Wiz 20/Ftr 20 problem. It's so obvious I'm really surprised no one's seen it. See... all you have to do is apply the EAB when the <em>attack bonus</em> hits +20, NOT the character's level. Using this rule, both characters have a +30 AB at L40. Granted, the first one's going to have a better AB up to 40th, but after that, they're both equal. It's much easier to figure - instead of worrying about when the PC reached 20th level, you just slice off everything after AB +20, halve the level, and add that to the AB.</p><p></p><p>I would've attached the spreadsheet I used (Excel really is a godsend for this kind of work), but since ENWorld's being sucky, I'll just provide <a href="http://shtar.pbwiki.com/f/alt_EAB.xls" target="_blank">a link</a> instead.</p></blockquote><p></p>
[QUOTE="Kerrick, post: 4186932, member: 4722"] I did a quick look through the books, and I can't find [i]anything[/i] that grants a sacred or profane bonus to AC. I'm not sure those two [i]can[/i] be applied to AC. Consecrate/desecrate and (un)hallow add to Charisma checks to turn/rebuke undead... and that's all I could find. Considering those bonuses are so incredibly rare that only four spells use them, that's a very good case for dropping them entirely. That doesn't mean anything. UK uses a different NA formula; the balor, frex, is listed as having +19 NA in the Monster Manual, while UK's balor has +12. Your formula's off on a few points. It took me a few hours to figure it out, but I was scribbling stuff by hand in my notebook. :( First, I'm looking for a raw percentage chance to hit a given AC, so I can't use the +10 - that skews everything. Second, you failed to take into account that while stat boosts do occur every 8 (and item bonuses are every 3), you forgot that it takes TWO points to boost the AB, not 1. And finally, weapon bonus is 1/3 levels, but like you said - only half of that is going to be applied to the actual bonus, so it should be 1/6. I decided to leave stat boosts at 1/8, as it accounts for inherent bonuses as well. So, once I changed Y to equal the total attack bonus (TAB) corrected the formula, I got: Y = X + (X/8)* + (X/6) + (X/6). I compared that to the assumed AC for a monster of the same CR (using UK's formula) to get the percentage chance to hit. A few things I found: An epic monster's AC = CR + 20. Good AB (not BAB) increases by ~+7 every 5 levels, which keeps up with monster ACs till 20th (it's 45% at every level); after that, monster ACs increase by only 1/level, so AB quickly overtakes AC. If you use the EAB, the hit chance remains the same, then starts alternating between 45% and 40% at L35th (it goes down to 40% at 35th, then back up at 40th, etc.). Medium AB increases by ~+6 per 5 levels, which means the chances of hitting anything go down until you hit 20th (15%), then slowly go back up. If you use the EAB, it goes up to 20% at L25, then up to 25% at L30, down to 20% at L35, etc. I didn't bother with Low AB, since mages typically apply stat and item boosts to spellcasting stats, and they're not involved in melee. And finally... I found a way to fix the Ftr 20/Wiz 20 vs. Wiz 20/Ftr 20 problem. It's so obvious I'm really surprised no one's seen it. See... all you have to do is apply the EAB when the [i]attack bonus[/i] hits +20, NOT the character's level. Using this rule, both characters have a +30 AB at L40. Granted, the first one's going to have a better AB up to 40th, but after that, they're both equal. It's much easier to figure - instead of worrying about when the PC reached 20th level, you just slice off everything after AB +20, halve the level, and add that to the AB. I would've attached the spreadsheet I used (Excel really is a godsend for this kind of work), but since ENWorld's being sucky, I'll just provide [url=http://shtar.pbwiki.com/f/alt_EAB.xls]a link[/url] instead. [/QUOTE]
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