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<blockquote data-quote="The Sigil" data-source="post: 2271507" data-attributes="member: 2013">This is likely to be as good a fit as any.&nbsp; The system I used in Buy the Numbers was done in increments of 5 XP and so will not track perfectly with a curve, but was meant to be an exponentially increasing system of cost - which means a natural log function (as provided above) should work nicely to marry it to a linear cost system.&nbsp; (It's been so long since I did my hundreds of &quot;trial and error&quot; tests to find a correlation that worked that I forget exactly what formula I finally came up with).Oh, and I'm actually not a &quot;math guy&quot; but a &quot;physics guy&quot; - which means I would say make y = 80 ln (x) - 70 because it works to sufficient significant digits to keep me happy.&nbsp; der_klugeI also think it's funny that &quot;putting a log function in an RPG book&quot; makes me a pioneer of some sort.&nbsp; I don't decide to put them in, they just work and so they put themselves in. <img src="https://cdn.jsdelivr.net/joypixels/assets/8.0/png/unicode/64/1f609.png" class="smilie smilie--emoji" loading="lazy" width="64" height="64" alt=";)" title="Wink&nbsp; &nbsp; ;)"&nbsp; data-smilie="2"data-shortname=";)" />And as others have suggested, I'd love to see the full write-up once this has been done. <img src="https://cdn.jsdelivr.net/joypixels/assets/8.0/png/unicode/64/1f642.png" class="smilie smilie--emoji" loading="lazy" width="64" height="64" alt=":)" title="Smile&nbsp; &nbsp; :)"&nbsp; data-smilie="1"data-shortname=":)" />--The Sigil</blockquote>

[QUOTE="The Sigil, post: 2271507, member: 2013"] This is likely to be as good a fit as any. The system I used in Buy the Numbers was done in increments of 5 XP and so will not track perfectly with a curve, but was meant to be an exponentially increasing system of cost - which means a natural log function (as provided above) should work nicely to marry it to a linear cost system. (It's been so long since I did my hundreds of "trial and error" tests to find a correlation that worked that I forget exactly what formula I finally came up with). Oh, and I'm actually not a "math guy" but a "physics guy" - which means I would say make [b]y = 80 ln (x) - 70 [/b] because it works to sufficient significant digits to keep me happy. [b]der_kluge[/b] I also think it's funny that "putting a log function in an RPG book" makes me a pioneer of some sort. I don't decide to put them in, they just work and so they put themselves in. ;) And as others have suggested, I'd love to see the full write-up once this has been done. :) --The Sigil [/QUOTE]

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