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Message: <blockquote data-quote="genshou" data-source="post: 2485959" data-attributes="member: 13164">I don’t understand what point you are arguing here–it looks as though you and I are in agreement about this point.  The probability of rolling a 3 or an 18 are equal with 3d6, and the modifiers are equal mechanically (4 - 4 = 0).  The modifiers are simply a way of illustrating that the game mechanic for modifiers of equal chance are equal in that regard as well.  Of course, nobody wants to be on the lower side of the curve, which is why rolling methods for generating “heroes” gained popularity and were officially adopted in 3rd Edition rules.Ahh, my apologies.  That reference was rather irrelevant. <img src="https://cdn.jsdelivr.net/joypixels/assets/8.0/png/unicode/64/1f631.png" class="smilie smilie--emoji" loading="lazy" width="64" height="64" alt=":o" title="Eek!    :o"  data-smilie="9"data-shortname=":o" />Yet another thing we understand perfectly between the two of us.  If I roll 1 million dice for nonheroic ability scores, I’ll probably never generate a character with either a bonus OR a penalty.Actually, it is VERY correct in the context in which I actually gave that statement.  Consider the following approximate percentages for given ability scores being rolled using the standard 4d6, drop lowest die method:3: 0.07%4: 0.3%5: 0.8%6: 1.8%7: 3.3%8: 5.5%9: 7.7%10: 10.3%11: 12%12: 13.3%13: 12.8%14: 11.3%15: 8.7%16: 6.3%17: 3.5%18: 1.6%These percentages were calculated by a program I wrote which runs all 1,296 possible 4d6 rolls and then ignores the lowest die, adding the other three together.  Clearly, it’s not a common occurrence for a hero to have a 3 in any of their ability scores.  Even an 18 is very rare.  Over 50% of ability scores fall between the ranges of 10-14.  The average ability score is 11.99614, which we could just approximate as 12 to say that’s the middle ground to expect on a given die roll.As for rolling 20d6 and dropping the lowest 5 dice, the program I made has some problems with variables, but when it does successfully run from start to finish without crashing it rolls a total of 1,200,000d6, in groups of 20, and drops the lowest 5 before adding the others together.  This results in 60,000 separate ability rolls, or enough for 10,000 characters.  Wow.When I originally wrote the program, I didn’t have access to mythusmage’s scaling system.  Now that I have that, I’ll run it and be able to compare percentages and actual ability modifiers, instead of splitting it among 75 unfamiliar numbers from 15-90.Rolling a -4 or +4 is impossible.  The following percent chances applied to the other modifiers based on the 60,000 scores rolled:-3: 0%-2: 0%-1: 0.13%+0: 44.8%+1: 45.9%+2: 8.8%+3: 0.15%As you can see, you’ll almost never end up with a score that isn’t +0 or +1.  Even dropping the same percentage of the total dice, you still end up with scores leaning an excessive amount toward the middle.  What if we used 1 million d6, drop 250,000 lowest?  Same thing to a much more extreme scale.  That was all I was trying to say.  Obviously, rolling 5d6, drop 2 lowest greatly increases the averages.  I’m simply pointing out that even *heroes* under mythusmage’s system will be more “mundane” than before due to the higher percentage of scores rolled within a smaller modifier range (over 90% are +0 or +1).Oh, very much so, as you can see above!  If they don’t like it, TOO bad!  I’m having fun relearning programming in order to calculate all of these! <img src="https://cdn.jsdelivr.net/joypixels/assets/8.0/png/unicode/64/1f600.png" class="smilie smilie--emoji" loading="lazy" width="64" height="64" alt=":D" title="Big grin    :D"  data-smilie="8"data-shortname=":D" />Besides, this is a valid point that needs to be brought up in order to make mythusmage’s system work.  Speaking of which, where has mythusmage disappeared to during this discussion?  You’d think [he/she?] would have wanted to comment on something by now.  *shrugs*Trolling if I’ve ever seen it.  Regardless, I hope I’ve paid enough attention to the meat of the matter in this post to satisfy your carnivorous desires, yes?  If not, go eat a cow–I can’t offer much more sustenance without being sucked dry (a very uncomfortable experience, to be certain).</blockquote>

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