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<blockquote data-quote="FrankTrollman" data-source="post: 1191122" data-attributes="member: 14225"><p>Um... what?</p><p></p><p>No. By that logic - which is in fact the encounter creation logic from the DMG - a Wizard 1/ Warrior 1 is the equivalent of half a Warrior 4.</p><p></p><p>The concept is that every +2 levels is the equal of x2 power (except for the jump between 1st and 2nd, which is only +1 level but is also a doubling of power). Thus, if someone is one level up they are 41% more powerful (as it is the square root of two times as large). However, if they have a non-related ability (say, a level of Wizard on a Hill Giant or Ranger) - their additional level starts in at the beginning.</p><p></p><p>Thus, since a 1st level character is half the power of a 2nd level character. And a 2nd level character is half the power of a fourth level character - then a character who is 1st level is 25% the power of a 4th level character. A character with 2 1st levels is half the power of a 4th level character. A character with one specialty at 2nd level is <em>also</em> half the power of a 4th level.</p><p></p><p>However, a character who is 3rd level in one specialty is 71% the power of a 4th level character - while a character who is 2nd level in one specialty and 1st level in another is 75% the power of a 4th level character. That's how the math works out.</p><p></p><p>And it is somewhat borne out in practice. At early levels, multiclassed characters are <em>boss</em>.</p><p></p><p>The part where it sucks is at high levels. A character who is 15th level is 71% of the power of a 16th level character. A character who is 14th level in one specialty and 1st level in another is only 50.4% of the power of a 16th level character.</p><p></p><p>And yes. That's how the encounter math works out. And that's why Hill Giants aren't supposed to even pay CR for the first couple of levels of Wizard - it simply doesn't meaningfully affect their abilities.</p><p></p><p>Power within a specialty is exponential, according to the design principles of D&D. Certainly within the Wizard class I think we can agree that is true. The farther you go in an exponential function - the faster it grows. Adding two Exponential Functions together is going to get you wildly different values compared to simply advancing in a single exponential function. And if you go far enough in the single function - adding two functions together is going to be significantly smaller.</p><p></p><p>-Frank</p></blockquote><p></p>
[QUOTE="FrankTrollman, post: 1191122, member: 14225"] Um... what? No. By that logic - which is in fact the encounter creation logic from the DMG - a Wizard 1/ Warrior 1 is the equivalent of half a Warrior 4. The concept is that every +2 levels is the equal of x2 power (except for the jump between 1st and 2nd, which is only +1 level but is also a doubling of power). Thus, if someone is one level up they are 41% more powerful (as it is the square root of two times as large). However, if they have a non-related ability (say, a level of Wizard on a Hill Giant or Ranger) - their additional level starts in at the beginning. Thus, since a 1st level character is half the power of a 2nd level character. And a 2nd level character is half the power of a fourth level character - then a character who is 1st level is 25% the power of a 4th level character. A character with 2 1st levels is half the power of a 4th level character. A character with one specialty at 2nd level is [i]also[/i] half the power of a 4th level. However, a character who is 3rd level in one specialty is 71% the power of a 4th level character - while a character who is 2nd level in one specialty and 1st level in another is 75% the power of a 4th level character. That's how the math works out. And it is somewhat borne out in practice. At early levels, multiclassed characters are [i]boss[/i]. The part where it sucks is at high levels. A character who is 15th level is 71% of the power of a 16th level character. A character who is 14th level in one specialty and 1st level in another is only 50.4% of the power of a 16th level character. And yes. That's how the encounter math works out. And that's why Hill Giants aren't supposed to even pay CR for the first couple of levels of Wizard - it simply doesn't meaningfully affect their abilities. Power within a specialty is exponential, according to the design principles of D&D. Certainly within the Wizard class I think we can agree that is true. The farther you go in an exponential function - the faster it grows. Adding two Exponential Functions together is going to get you wildly different values compared to simply advancing in a single exponential function. And if you go far enough in the single function - adding two functions together is going to be significantly smaller. -Frank [/QUOTE]
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