Altair_the_Vexed
2008-11-21, 06:56 PM
I'm part of a group running some D&D and d20 modern games, which will cross over regularly. Converting the two systems of wealth measurement (gold pieces in D&D and the abstract "Wealth Bonus" in d20 modern) is not easy.
(Before you continue, if your opinion is going to be "Why bother?" or "Just guess," or something similar, please don't post it. I'm looking for a mathematical solution that I know is present...)
In d20 modern, there's a Wealth Bonus (http://www.systemreferencedocuments.org/modern/smack/wealth.html) (WB) which one adds to a d20 check to see if you can afford stuff (which has a purchase DC (http://www.systemreferencedocuments.org/modern/smack/general.html)).
As one goes up levels, one can increase this WB by making a Profession check higher than the current WB. I ran some maths on it, and it works out to (roughly) a 1.6 point increase per level. a 20th level character ought to be "very rich" by the terms of the d20 system.
Now, in D&D 3.5, characters have an expected wealth by level (see page 135 of the DMG). If you look at that table, the increases are very definitely non-linear. I broke out my true geek ability, and took the logarithm of the wealth by level figures, which gave me a nice straight linear increase.
I remember from my long-past maths and physics studies that I ought to be able to find the equation that ties these two measurements of character wealth together. Can anyone in the Playground help me, please?
(Before you continue, if your opinion is going to be "Why bother?" or "Just guess," or something similar, please don't post it. I'm looking for a mathematical solution that I know is present...)
In d20 modern, there's a Wealth Bonus (http://www.systemreferencedocuments.org/modern/smack/wealth.html) (WB) which one adds to a d20 check to see if you can afford stuff (which has a purchase DC (http://www.systemreferencedocuments.org/modern/smack/general.html)).
As one goes up levels, one can increase this WB by making a Profession check higher than the current WB. I ran some maths on it, and it works out to (roughly) a 1.6 point increase per level. a 20th level character ought to be "very rich" by the terms of the d20 system.
Now, in D&D 3.5, characters have an expected wealth by level (see page 135 of the DMG). If you look at that table, the increases are very definitely non-linear. I broke out my true geek ability, and took the logarithm of the wealth by level figures, which gave me a nice straight linear increase.
I remember from my long-past maths and physics studies that I ought to be able to find the equation that ties these two measurements of character wealth together. Can anyone in the Playground help me, please?