DND_Reborn
The High Aldwin
I think there might be some confusion, for which I apologize if there was. When I use the term "modifier", I am not referring to ability score modifier, but total modifier to the check (both ability score modifier AND proficiency bonus added together). The minimum is an ability score of 8 (-1) and no proficiency bonus (+0), so total of -1. The maximum is ability score 20 (+5) and proficiency bonus (+6), for a total of +11.
If you understood that to be the case, then certain combinations favor either system depending on what precise low and high modifiers you use, of course, but the overall analysis should include all possible combinations. Using a midpoint of the ranges you suggest (say +2 and + 8 for example), it isn't until the DC is 13 that the 2d10 variant offers a greater relative increase in likelihood of success over the d20 system. This is a perfect example of the critical "DC 12" threshold or swing point I discussed.
Perhaps you are doing different calculations or comparing different things than I am? I don't know, but otherwise your suggestion of the point of differentiation at DC 5 is not correct.
If you understood that to be the case, then certain combinations favor either system depending on what precise low and high modifiers you use, of course, but the overall analysis should include all possible combinations. Using a midpoint of the ranges you suggest (say +2 and + 8 for example), it isn't until the DC is 13 that the 2d10 variant offers a greater relative increase in likelihood of success over the d20 system. This is a perfect example of the critical "DC 12" threshold or swing point I discussed.
Perhaps you are doing different calculations or comparing different things than I am? I don't know, but otherwise your suggestion of the point of differentiation at DC 5 is not correct.