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General Tabletop Discussion
*Dungeons & Dragons
Substituting 3Z7 for D20
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<blockquote data-quote="NotAYakk" data-source="post: 8911901" data-attributes="member: 72555"><p>3d8-3 has a variance of 63/12*3 and an average of 10.5.</p><p>1d20 has a variance of 399/12 and an average of 10.5.</p><p></p><p>So the variance is half as big as for 1d20. As we experience Standard Deviation not Variance directly, the SD(3d8) is 0.68x SD(1d20).</p><p></p><p>So to a really decent approximation, the effect is similar to multipling modifiers to d20 rolls by 1.5 and similar to DCs away from 11.</p><p></p><p>Ie, proficiency went from +3 to +9, attributes from +0 to +7, magic items from +0 to +5, etc, plate had 21 AC, shields 3 AC, studded 13.</p><p></p><p>The critical mechanics you describe can be summed up as "almost never"; triple 8 is 1 in 512, which is about as often as you get a critical on d20 with disadvantage. To get criticals near 1d20 you need to make them 25x more common.</p><p></p><p>Two 8s (or 7s) is close; ie, if you roll 2 dice with a max roll, the roll becomes a critical success. As others have noted, this is 3.5% instead of 5%, so make crits (max damage roll) plus (one roll of damage).</p><p></p><p>Advantage/disadvantage mechanics are typically done with dice pools by just adding 1 additional die, then taking the highest/lowest 3 dice. This won't be as strong as advantage/disadvantage on d20 but won't be that far off.</p></blockquote><p></p>
[QUOTE="NotAYakk, post: 8911901, member: 72555"] 3d8-3 has a variance of 63/12*3 and an average of 10.5. 1d20 has a variance of 399/12 and an average of 10.5. So the variance is half as big as for 1d20. As we experience Standard Deviation not Variance directly, the SD(3d8) is 0.68x SD(1d20). So to a really decent approximation, the effect is similar to multipling modifiers to d20 rolls by 1.5 and similar to DCs away from 11. Ie, proficiency went from +3 to +9, attributes from +0 to +7, magic items from +0 to +5, etc, plate had 21 AC, shields 3 AC, studded 13. The critical mechanics you describe can be summed up as "almost never"; triple 8 is 1 in 512, which is about as often as you get a critical on d20 with disadvantage. To get criticals near 1d20 you need to make them 25x more common. Two 8s (or 7s) is close; ie, if you roll 2 dice with a max roll, the roll becomes a critical success. As others have noted, this is 3.5% instead of 5%, so make crits (max damage roll) plus (one roll of damage). Advantage/disadvantage mechanics are typically done with dice pools by just adding 1 additional die, then taking the highest/lowest 3 dice. This won't be as strong as advantage/disadvantage on d20 but won't be that far off. [/QUOTE]
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