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Message: <blockquote data-quote="DND_Reborn" data-source="post: 7585447" data-attributes="member: 6987520">While not quite a dissertation, these are the results of the analysis of a d20 system to a 2d10 system with the following parameters:DC's ranged from 5 to 30Low modifier ranged from -1 to +10High modifier ranged from current Low modifier to +11The d20 column indicates the number of scenarios when the d20 system resulted in a greater relative chance of success for a High modifier probability over a Low modifier probability (column 1).The 2d10 column indicates when the 2d10 variant results in a greater relative chance of success for a High modifier probability over a Low modifier probability.The chart shows the distributions of each system (column 2).The even column shows the points where the two systems are equivalent and offer no increased relative chance of success between the two modifiers (column 3).If the DC was higher than 20 + High modifier, a result of N/A was given (column 4).If the DC was higher than 20 + Low modifier, a result of INF was given (column 5).[ATTACH]105640[/ATTACH]The intersection in the chart shows when the DC is 12 or lower, the d20 system works better overall for having a Higher modifier increasing the relative chance of success over a Lower modifier.For a DC above 12 the 2d10 variant results in Higher modifiers having a more impactful chance of success over a Lower modifier.Thus, to the OP, DEFCON 1, if your typical DC's are above 12 (which I believe is true for many tables as many DC's are 8 + proficiency bonus + modifier, usually 8 + 2 + 2, making 12 often a minimum, not typical) then your system should indeed allow for a greater modifier to be more impactful relative to a lower modifier.For what it is worth, ignoring the non-NA, non-INF results, the d20 system is better a total of 34.2% of the time and 65.8% of the results the 2d10 system performs better or as well (i.e. even).Of course, this involves a range of modifiers, but the overall general case holds true. This also does not examine the actual increased values in relative likelihood of success, only comparing which system results in a greater value, even if the improvement is minor. I won't be analyzing that deeply into it as I don't believe it will add much value to the study.Have fun DEFCON 1, I am glad the system works to your satisfaction!</blockquote>

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