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Excellent work, sir. Brilliant stuff and I'm using it in conjunction with the brilliant World Without Numbers book by Kevin Crawford.

For those wanting less duplicate rolls, a simple solution: use a linear distribution with a single die.

Instead of 2d6 just use 1d12.

Instead of 3d6 use 1d20 and add variables to the unassigned values.

Be careful switching the dice around, it’s balanced to have some results pop up more often than some.  You may end with an extra crazy world, which might be a lot of fun 😂