This is for D&D 5E...
d20 = Yes / No axis
d12 = But / And axis
Your DM sets the Difficulty Challenge as normal.
Roll both dice together. Your d20 is scored as normal. Your d12 is scored as below.
1,2,3 on d12 you get varying degrees of threat where "1" is the worst degree. Scoring a "1" on your d20 and a "1" on your d12 is a DESPAIR!
10,11,12 on d12 you get varying degrees of success where "12" is the best degree. Scoring a "20" on your d20 and a "12" on your d12 is a TRIUMPH!
4 - 9 on d12 are considered "cancelled out" results and mean nothing.
Why the d12? Honestly, to give that particular die some more "face time" in D&D, but also to differentiate it from the d20 a bit better. You could roll 2d20, or another die and make up the same system if you wanted, but I chose the d12 for mine.
You get all of the benefits of the "But / And" axis with using only one extra die instead of a handful.
I like both Star Wars and Genesys, and I like the dice, but this is an option for those who do not and want to play 5E but like the added axis to their game.