So yes, I am a nerd. I am working on a role playing engine, where some of the key structure of my system is to work with the hardness of known elements.
Unfortunately, the only system I know to be widely accepted by this practice is Moh's hardness scale.
The problem with Moh's scale is that it isn't linear. 10 is four times as hard as 9, where 2 isn't even close to twice as hard as 1.
I found some hinting at an absolute formula for mineral hardness, and found values for moh's scale. The problem I have, is that there is no conversion formula listed.
Could anyone help me with this?
Conversion theorum = A(M)
where M = the Moh's hardness and A(M) is the absolute hardness value.
A(1) = 1
A(2) = 3
A(3) = 9
A(4) = 21
A(5) = 48
A(6) = 72
A(7) = 100
A(8) = 200
A(9) = 400
A(10) = 1600
I thought that I might end up having to use a nonic or decic equation to solve this, but if other people have simpler ways I am more than open to hearing them.