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<blockquote data-quote="Jurph" data-source="post: 4875672" data-attributes="member: 84577">Alright, I'm back.&nbsp; Had to think long and hard about Scott_S's assertion that many small bonuses lack the utility of a large bonus.&nbsp; I went back to the arrays and calculated the sum of the squares of the bonuses.&nbsp; These arrays give the top value (21):18&nbsp; &nbsp; 14&nbsp; &nbsp; 11&nbsp; &nbsp; 10&nbsp; &nbsp; 10&nbsp; &nbsp; 818&nbsp; &nbsp; 14&nbsp; &nbsp; 10&nbsp; &nbsp; 10&nbsp; &nbsp; 10&nbsp; &nbsp; 916&nbsp; &nbsp; 16&nbsp; &nbsp; 12&nbsp; &nbsp; 12&nbsp; &nbsp; 10&nbsp; &nbsp; 8and these give a value of 20:18&nbsp; &nbsp; 12&nbsp; &nbsp; 12&nbsp; &nbsp; 12&nbsp; &nbsp; 10&nbsp; &nbsp; 816&nbsp; &nbsp; 16&nbsp; &nbsp; 13&nbsp; &nbsp; 11&nbsp; &nbsp; 10&nbsp; &nbsp; 816&nbsp; &nbsp; 16&nbsp; &nbsp; 13&nbsp; &nbsp; 10&nbsp; &nbsp; 10&nbsp; &nbsp; 916&nbsp; &nbsp; 16&nbsp; &nbsp; 12&nbsp; &nbsp; 11&nbsp; &nbsp; 11&nbsp; &nbsp; 816&nbsp; &nbsp; 16&nbsp; &nbsp; 12&nbsp; &nbsp; 11&nbsp; &nbsp; 10&nbsp; &nbsp; 9The population of sum-of-squares scores runs from 21 down to 8 and the &quot;champion&quot; (+8) arrays range from 18 down to 12.&nbsp; You could also conceivably set the exponents in the simple sum-of-squares formula to be somewhere between 0 and 2 according to your class needs.&nbsp; That way a score of 8 in your lowest attribute wouldn't matter (the lowest score would be raised to the zeroth power and always contribute 1 to the total) and a high score in your highest would get the full benefit of being squared. MAD classes would need a preference equation that was (approximately) 2,2,1.5,1,1,0 but a class like a wizard could choose 2,1.75,1.5,1.25,1,0 and get a more skewed array.</blockquote>

[QUOTE="Jurph, post: 4875672, member: 84577"] Alright, I'm back. Had to think long and hard about [B]Scott_S[/B]'s assertion that many small bonuses lack the utility of a large bonus. I went back to the arrays and calculated the [I]sum of the squares[/I] of the bonuses. These arrays give the top value (21): 18 14 11 10 10 8 18 14 10 10 10 9 16 16 12 12 10 8 and these give a value of 20: 18 12 12 12 10 8 16 16 13 11 10 8 16 16 13 10 10 9 16 16 12 11 11 8 16 16 12 11 10 9 The population of sum-of-squares scores runs from 21 down to 8 and the "champion" (+8) arrays range from 18 down to 12. You could also conceivably set the exponents in the simple sum-of-squares formula to be somewhere between 0 and 2 according to your class needs. That way a score of 8 in your lowest attribute wouldn't matter (the lowest score would be raised to the zeroth power and always contribute 1 to the total) and a high score in your highest would get the full benefit of being squared. MAD classes would need a preference equation that was (approximately) 2,2,1.5,1,1,0 but a class like a wizard could choose 2,1.75,1.5,1.25,1,0 and get a more skewed array. [/QUOTE]

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