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General Tabletop Discussion
*Pathfinder & Starfinder
How much treasure going from lvl 11 to lvl 12?
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<blockquote data-quote="mneme" data-source="post: 5221565" data-attributes="member: 59248"><p>This makes sense, but it's very disappointing. Because they -could- have used a formula that used a smooth level progression and still ended up with level+5 always being (approximately) 5x level. I mean, we solved this stuff (more or less--certainly with only one progression point) in the late middle ages--see Just Tempering!</p><p></p><p>The key, of course, is fractional powers (eg, logarithms). [which is why this requires rounding]. If you simply calculate the series 100 (or whatever your base treasure number is) times 5 to the power of x/5, as x goes from 0 to 30, you've got a nice, smooth progression, even with a fudge factor to round the result to the nearest multiple of 5. Looks like this:</p><p></p><p>100 138 191 263 363</p><p>500 690 952 1314 1812</p><p>2500 3450 4760 6567 9060</p><p>12500 17247 23796 32832 45299</p><p>62500 86234 118979 164158 226494</p><p>312500 431166 594892 820790 1132469</p><p></p><p>Sure, in here, the earlier numbers have a lot more rounding than the later ones, so not every number is -exactly- 5 times the previous one (except the even multiples of 5, which have no rounding). But it's a -much- more pleasing progression.</p><p></p><p>Of course, if they'd wanted to avoid even that annoyanc, they could have gone with a "x16 over every 4" progression (inflationary, I know), and just doubled the gold reward every level.</p></blockquote><p></p>
[QUOTE="mneme, post: 5221565, member: 59248"] This makes sense, but it's very disappointing. Because they -could- have used a formula that used a smooth level progression and still ended up with level+5 always being (approximately) 5x level. I mean, we solved this stuff (more or less--certainly with only one progression point) in the late middle ages--see Just Tempering! The key, of course, is fractional powers (eg, logarithms). [which is why this requires rounding]. If you simply calculate the series 100 (or whatever your base treasure number is) times 5 to the power of x/5, as x goes from 0 to 30, you've got a nice, smooth progression, even with a fudge factor to round the result to the nearest multiple of 5. Looks like this: 100 138 191 263 363 500 690 952 1314 1812 2500 3450 4760 6567 9060 12500 17247 23796 32832 45299 62500 86234 118979 164158 226494 312500 431166 594892 820790 1132469 Sure, in here, the earlier numbers have a lot more rounding than the later ones, so not every number is -exactly- 5 times the previous one (except the even multiples of 5, which have no rounding). But it's a -much- more pleasing progression. Of course, if they'd wanted to avoid even that annoyanc, they could have gone with a "x16 over every 4" progression (inflationary, I know), and just doubled the gold reward every level. [/QUOTE]
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How much treasure going from lvl 11 to lvl 12?
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