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Advancing a monster
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<blockquote data-quote="eamon" data-source="post: 3761080" data-attributes="member: 51942"><p>funny, I've looked at that too ;-) I'm pretty sure that actually, there is no (simple) formula and that wealth by level is based on the "normal" amount of treasure you find when defeating the "normal" amount/type of encounters needed to level. Since the treasure tables are rounded, and the wealth by level tables are again, quite a bit of distortion is introduced.</p><p></p><p>I've devised the following formula as a close approximation, however, it diverges at 1st level, somewhat:</p><p></p><p>915 * level * 1.22^level</p><p></p><p>which results in:</p><p>1st - 0</p><p>2nd - 1,116</p><p>3rd - 2,724</p><p>4th - 4,985</p><p>5th - 8,108</p><p>6th - 12,365</p><p>7th - 18,102</p><p>8th - 25,765</p><p>9th - 35,924</p><p>10th - 49,306</p><p>11th - 66,837</p><p>12th - 89,696</p><p>13th - 119,377</p><p>14th - 157,776</p><p>15th - 207,294</p><p>16th - 270,963</p><p>17th - 352,613</p><p>18th - 457,075</p><p>19th - 590,433</p><p>20th - 760,346</p><p></p><p>This follows pretty closely but ignores the odd "bumps" in the normal sequence (which is probably not a bad thing). You're also too rich after first level, which I can live with. Thereafter the error is small.</p></blockquote><p></p>
[QUOTE="eamon, post: 3761080, member: 51942"] funny, I've looked at that too ;-) I'm pretty sure that actually, there is no (simple) formula and that wealth by level is based on the "normal" amount of treasure you find when defeating the "normal" amount/type of encounters needed to level. Since the treasure tables are rounded, and the wealth by level tables are again, quite a bit of distortion is introduced. I've devised the following formula as a close approximation, however, it diverges at 1st level, somewhat: 915 * level * 1.22^level which results in: 1st - 0 2nd - 1,116 3rd - 2,724 4th - 4,985 5th - 8,108 6th - 12,365 7th - 18,102 8th - 25,765 9th - 35,924 10th - 49,306 11th - 66,837 12th - 89,696 13th - 119,377 14th - 157,776 15th - 207,294 16th - 270,963 17th - 352,613 18th - 457,075 19th - 590,433 20th - 760,346 This follows pretty closely but ignores the odd "bumps" in the normal sequence (which is probably not a bad thing). You're also too rich after first level, which I can live with. Thereafter the error is small. [/QUOTE]
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