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<blockquote data-quote="NotAYakk" data-source="post: 8145860" data-attributes="member: 72555">2d10's main effect is to make each +1 bonus and each +1 DC larger in impact compared to 1d20.&nbsp; And it needs a different crit mechanic.Ignoring the crits, the variance of 1dx is (x+1)(x-1)/12, or (x^2-1)/12.&nbsp; If you add dice, you add variance.&nbsp; So 399/12 vs 198/12 for d20 vs 2d10.Then take the square root to get the standard deviation, getting 5.8 and 4.1.&nbsp; SD(d20)/SD(2d20) is 1.4, or about the square root of 2.&nbsp; (this is generally true: N dice that add up to the same average as 1 die has a SD of 1/sqrt(N) of the one die).So a game using d20 where PC stats varied from 10 to 28, and proficiency went from 3 to 9, would play a lot like D&amp;D using 2d10.&nbsp; Also, saves are DC(7+prof+stat), shields are +3 AC, magic items go to +5, max dex on medium is +3, plate has 21 base AC, etc.A level 10 wizard with 20 int and 4 prof and a save DC of 17 would feel a bit like a 26 int 5 prof save DC 20 character.A PC in plate and shield would feel like having 24 AC roughly.</blockquote>

[QUOTE="NotAYakk, post: 8145860, member: 72555"] 2d10's main effect is to make each +1 bonus and each +1 DC larger in impact compared to 1d20. And it needs a different crit mechanic. Ignoring the crits, the variance of 1dx is (x+1)(x-1)/12, or (x^2-1)/12. If you add dice, you add variance. So 399/12 vs 198/12 for d20 vs 2d10. Then take the square root to get the standard deviation, getting 5.8 and 4.1. SD(d20)/SD(2d20) is 1.4, or about the square root of 2. (this is generally true: N dice that add up to the same average as 1 die has a SD of 1/sqrt(N) of the one die). So a game using d20 where PC stats varied from 10 to 28, and proficiency went from 3 to 9, would play a lot like D&D using 2d10. Also, saves are DC(7+prof+stat), shields are +3 AC, magic items go to +5, max dex on medium is +3, plate has 21 base AC, etc. A level 10 wizard with 20 int and 4 prof and a save DC of 17 would feel a bit like a 26 int 5 prof save DC 20 character. A PC in plate and shield would feel like having 24 AC roughly. [/QUOTE]

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