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<blockquote data-quote="N0Man" data-source="post: 4850085" data-attributes="member: 64066">If your goal is to get the closest to 8, then yes, 7 is closer to 8 than 6 is, but that's not really the goal now is it?If you were actually making the mathematical calculations, you would certainly not round up from 7.21 to 8, you would round down to 7.&nbsp; Both of them are 1 off.&nbsp; The fact that one is 1.21 off and the other is .79 off is inconsequential, unless you play a form of D&amp;D where you use fractional squares.In the end, does it really matter?&nbsp; I've already said that mathematically that 3E has a very slight advantage, but it's an advantage that can be overstated and it's not even universal.&nbsp; Just as 4E underestimates distances the closer to a true diagonal you go (when X=Y, or is close), 3E overestimates distances at sharper angles (where X &gt; 2Y, or X &lt; 1/2Y).Both systems can be off, the differences aren't that big of a deal.&nbsp; Use what you want, but honestly the passion for such a small difference is not really rational.&nbsp; That's why I said I think a lot of it is psychological bias, not a rational bias.1:1 is close enough, easy to explain to new players, easy to eyeball, and makes for speedier play for many average players, as well as new players.1-2-1 is slightly closer on average, but can be wrong too.&nbsp; It isn't going to really break much to use if that's what your group wants to do.&nbsp; It's easy enough to implement.However, just like any houserule, I would strongly urge a DM to really consider about what feels comfortable to a group, and don't make a houserule out of what YOU think makes more sense.&nbsp; Consider that sometimes there are good and compelling reasons that a game is designed the way it is.&nbsp; Any houserule that adds complexity (even if it's minor complexity) or tedium to a game should be agreed on by the group, not just dictated by an inflexible and opinionated DM.And along those same lines, consider the effect a houserule has on new players that you might bring into the game.</blockquote>

[QUOTE="N0Man, post: 4850085, member: 64066"] If your goal is to get the closest to 8, then yes, 7 is closer to 8 than 6 is, but that's not really the goal now is it? If you were actually making the mathematical calculations, you would certainly not round up from 7.21 to 8, you would round down to 7. Both of them are 1 off. The fact that one is 1.21 off and the other is .79 off is inconsequential, unless you play a form of D&D where you use fractional squares. In the end, does it really matter? I've already said that mathematically that 3E has a very slight advantage, but it's an advantage that can be overstated and it's not even universal. Just as 4E underestimates distances the closer to a true diagonal you go (when X=Y, or is close), 3E overestimates distances at sharper angles (where X > 2Y, or X < 1/2Y). Both systems can be off, the differences aren't that big of a deal. Use what you want, but honestly the passion for such a small difference is not really rational. That's why I said I think a lot of it is psychological bias, not a rational bias. 1:1 is close enough, easy to explain to new players, easy to eyeball, and makes for speedier play for many average players, as well as new players. 1-2-1 is slightly closer on average, but can be wrong too. It isn't going to really break much to use if that's what your group wants to do. It's easy enough to implement. However, just like any houserule, I would strongly urge a DM to really consider about what feels comfortable to a group, and don't make a houserule out of what YOU think makes more sense. Consider that sometimes there are good and compelling reasons that a game is designed the way it is. Any houserule that adds complexity (even if it's minor complexity) or tedium to a game should be agreed on by the group, not just dictated by an inflexible and opinionated DM. And along those same lines, consider the effect a houserule has on new players that you might bring into the game. [/QUOTE]

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