Rate of growth comparison: 1-20 xp to x^2,x,log(x)

[kb2005]

Was trying to figure out a fair way to price partial powerlevels in the 1-20 range, and my initial intuition was to base it off the amount of experience required for each level divided by the total xp needed to reach level 20. Turns out this more or less matches the growth for f(x) ~= 0.035x^2 (orange,) which I think unfairly weights the price distribution at the later levels. So, I tried a linear distribution which was better, but ultimately decided log(x) would be the most fair.

Anyway, for funsies / show and tell I decided to graph all that out so you can see how the actual xp rate of growth from 1 to 20 compares to other functions.

[Legidias]

How much to plvl 1 to 2?

[kb2005]

How much to plvl 1 to 2?

4000*0.0236208*ln(2) ~= 65pp 4gp 9sp 1cp :B

[Jimjam]

Now do a chart comparing cost of bone chips to level, vs cost of PL!

Bone chips are 7000 xp per 4, but remember xp is capped at 11% per hand in (meaning you don't get full xp until about level 5, so until then you need about 2 stacks of chips per level).

[Wonkie]

this is what you do for funsies?

lemme get them digits :)

[Pope Hat]

So you only charge 4163 plat to PL 50 to 60? Sign me up.

Oh, only for 1-20 range =/