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So I had a bit of free time on my hands and I wanted to figure out the highest (and lowest) total ability score modifiers you can get under several conditions (via some nifty problem solving software curtesy of my employer).
Total ability score modifiers will be defined as the sum of all ability scores for a given stat array, ignoring any racial modifiers. Racial modifiers play no real part in this analysis though, as the standard array and human array both simply add 1 to the totals that will be given. Note that this is not a guide to maxing out your character, just the best (or worst) way to have the most bonuses on your character. Again, this is pre racial bonuses and I'll add in a sample array.
Max ability score modifiers: 10
ex. 14, 14, 14, 14, 13, 12
Min ability score modifiers: 3
ex. 18, 18, 9, 8, 8, 7
Have to have a 18 pre racial? Best you can aspire to: 8
ex. 18, 12, 12, 12, 12, 10
Have to have a 16 pre racial? Best you can aspire to: 9
ex. 16, 14, 13, 13, 12, 12
Max ability score modifiers: 8
ex. 14, 14, 13, 13, 12, 12
Min ability score modifiers: 1
ex. 18, 18, 8, 7, 7, 7
Have to have a 18 pre racial? Best you can aspire to: 5
ex. 18, 12, 12, 11, 10, 8
Have to have a 16 pre racial? Best you can aspire to: 8
ex. 16, 12, 12, 12, 12, 12
Max ability score modifiers: 7
ex. 14, 12, 12, 12, 12, 12
Min ability score modifiers: 0
ex. 17, 17, 9, 8, 7, 7
Have to have a 18 pre racial? Best you can aspire to: 3
ex. 18, 12, 12, 12, 7, 7
Have to have a 16 pre racial? Best you can aspire to: 5
ex. 16, 12, 12, 12, 11, 8
These should be correct barring and oversight I made when setting the parameters of the solver, if you would like me to add another scenario just let me know and I'll run it monday. Also note, the examples are just one way to arrive at the max (or min) ability score modifiers, which is made evident in the 20 point buy scenario.
Interesting.
It probably won't change how PCs build their characters but I can see using this for certain types of NPCs when wanting to branch out from just assigning them one of the "Arrays."
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Interesting.
It probably won't change how PCs build their characters but I can see using this for certain types of NPCs when wanting to branch out from just assigning them one of the "Arrays."
Yeah, I wasn't trying to change the hearts and minds of the masses. It started while I was trying to build a stat array for a PFS character (GM baby) that has a boon allowing an additional point to be spent like at 4th level. Then I thought, how can I get him to be strong but well rounded in terms of having bonuses in all my ability scores.
I mean, looking at it 14, 14, 14, 13, 12, 10 pre racial in 20 point buy is not bad. Races with +2/+2/-2 can end up with two 16s and a 14. Thats not terrible, especially for support and buff characters, even switch hitters wouldn't do terrible with that array. While this isn't a new revelation, actually seeing those numbers pop up as not only a well rounded outcome but a decently strong array made me stop and think.
Oh, this is good.
Awhile back I did some analysis on ability score arrays and your results match what I found as well. Which is good, because it involved some of the toughest mathematics I have ever subjected myself to.
Nice job!
I also ran a 10 point buy. Could you confirm my results?
Max ability score modifiers: 7
ex. 12, 12, 12, 12, 12, 10
Min ability score modifiers: -2
ex. 17, 17, 7, 7, 7, 7
Have to have a 18 pre racial? Best you can aspire to: 0
ex. 18, 14, 10, 7, 7, 7
Have to have a 16 pre racial? Best you can aspire to: 3
ex. 16, 12, 12, 12, 8, 7
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Oh, this is good.
Awhile back I did some analysis on ability score arrays and your results match what I found as well. Which is good, because it involved some of the toughest mathematics I have ever subjected myself to.
Nice job!
I also ran a 10 point buy. Could you confirm my results?
** spoiler omitted **
Thanks, except I cheated and used a program to do the heavy lifting. I just set the parameters and took the credit...
I won't be able to confirm anything until monday but everything looks fine from a quick look over except Max ability score modifier should be 5 not 7, I think you forgot to change that one.
Du'oh! Thanks.
Max ability score modifiers: 5
ex. 12, 12, 12, 12, 12, 10
Min ability score modifiers: -2
ex. 17, 17, 7, 7, 7, 7
Have to have a 18 pre racial? Best you can aspire to: 0
ex. 18, 14, 10, 7, 7, 7
Have to have a 16 pre racial? Best you can aspire to: 3
ex. 16, 12, 12, 12, 8, 7