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The Quadratic Problem—Speculations on 4e
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<blockquote data-quote="Cheiromancer" data-source="post: 3753832" data-attributes="member: 141"><p>Sorry Wulf- that's not what I was interpreting you as saying.</p><p></p><p>I have spent many of my posts amplifying and exploring the notion that monster power in 3.5 is basically an exponential function; that a four-fold increase in a monster's power is reflected by a +2 CR. This isn't true for a quadratic power curve; then a four-fold increase in a monster's power would be reflected by a doubling of its CR (more or less- the constant terms complicate things). I thought we should get the 3.5 situation straight before we started talking about 4e.</p><p></p><p>Then I noticed that the terminology in 4e seemed to be that monsters had levels. I wanted to make sure that people would not confuse monster levels with PC levels. In the 1 monster vs party system of CR (which is how I understand 3.5), a PC's level is higher than their CR - a 6th level PC is as powerful as a CR 4 monster. But in the 4E paradigm (with as many monsters as PCs) a PC's level is lower than the equivalent monster level. A 6th level PC would be an 8th level monster. (Maybe 9th) That's because a party of 6th level PCs would be an appropriate challenge for an 8th or 9th level party, not another 6th level party.</p><p></p><p>There is lots of variation in the use of "level" and "CR" - it can be very confusing. My own use of terms like Ogre4 contributes to the problem, since I meant the suffix to indicate CR, not monster level or (equivalent to) PC level.</p><p></p><p>As for your series in the first post, I didn't realize that you meant their importance to be the scale of the power curves. At that time I thought we were talking about what kind of formula expresses the power curve. (The now forbidden question of quadratic vs exponential functions <img src="http://www.enworld.org/forum/images/smilies/paranoid.png" class="smilie" loading="lazy" alt=":uhoh:" title="Paranoid :uhoh:" data-shortname=":uhoh:" /> )</p><p></p><p>Anyway, I think that a 1st level character will be between x2 or x4 the power of a 1st level monster. The PCs who are most effective against a monster will swiftly down their opponent and go to the aid of the other party members; thus the monsters will fall faster than they would if all the combats were completely separate. If the combats were all separate and one on one, then you'd need the PCs to be x4 the power of the monsters.</p></blockquote><p></p>
[QUOTE="Cheiromancer, post: 3753832, member: 141"] Sorry Wulf- that's not what I was interpreting you as saying. I have spent many of my posts amplifying and exploring the notion that monster power in 3.5 is basically an exponential function; that a four-fold increase in a monster's power is reflected by a +2 CR. This isn't true for a quadratic power curve; then a four-fold increase in a monster's power would be reflected by a doubling of its CR (more or less- the constant terms complicate things). I thought we should get the 3.5 situation straight before we started talking about 4e. Then I noticed that the terminology in 4e seemed to be that monsters had levels. I wanted to make sure that people would not confuse monster levels with PC levels. In the 1 monster vs party system of CR (which is how I understand 3.5), a PC's level is higher than their CR - a 6th level PC is as powerful as a CR 4 monster. But in the 4E paradigm (with as many monsters as PCs) a PC's level is lower than the equivalent monster level. A 6th level PC would be an 8th level monster. (Maybe 9th) That's because a party of 6th level PCs would be an appropriate challenge for an 8th or 9th level party, not another 6th level party. There is lots of variation in the use of "level" and "CR" - it can be very confusing. My own use of terms like Ogre4 contributes to the problem, since I meant the suffix to indicate CR, not monster level or (equivalent to) PC level. As for your series in the first post, I didn't realize that you meant their importance to be the scale of the power curves. At that time I thought we were talking about what kind of formula expresses the power curve. (The now forbidden question of quadratic vs exponential functions :uhoh: ) Anyway, I think that a 1st level character will be between x2 or x4 the power of a 1st level monster. The PCs who are most effective against a monster will swiftly down their opponent and go to the aid of the other party members; thus the monsters will fall faster than they would if all the combats were completely separate. If the combats were all separate and one on one, then you'd need the PCs to be x4 the power of the monsters. [/QUOTE]
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