Purity

<mightyagrippa> so, what's the salem analog to sqrt(quality/10)?
<loftar> It's basically the sum of the square of the individual elements (as represented from 0.0 to 1.0).
<loftar> But linearly normalized to the range 0.0-1.0 rather than 0.25-1.0.
<mightyagrippa> so, after you have the quality number in (0,1), how does it translate to humor/skill gain multiplication?
<loftar> Usually, but not necessarily, by using it to generate a multiplier from 1-10.

To calculate the raw purity, a number between 0 and 1, use [(Salt^2 + Merc^2 + Sulp^2 + Lead^2)-.25]*(4/3).

To calculate the purity multiplier for humors and skills, use (Salt^2 + Merc^2 + Sulp^2 + Lead^2)*12-2.

For example, a waxing mushroom with 20% salt, 50% mercury, 15% sulphur, and 15% lead would have

[(.2^2+.5^2+.15^2+.15^2)-.25]*(4/3) = .1133 raw purity

(.2^2+.5^2+.15^2+.15^2)*12-2 = 2.02 purity multiplier