| PossibleCabbage |
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Probably a character beyond the normal limit should be able to buy literally anything that is widely available for sale without meaningfully affecting their total wealth. If you want to have 500 +5 polearms to display in your mighty keep, that should be fine. It's not like you'd ever use more than a couple at once, so the rest is just fluff. You can keep your players from "buying high end magical gear for everybody ever" by simply saying "there aren't that many of them in all of the world, and it will take time to make more." I mean, even the richest person on earth can't buy six Bugatti Veyron 16.4 Super Sport, World Record Edition, since there were only five ever made.
The real wealth of characters beyond level 20 should be measured in possessions that cannot be purchased. If you want to let level 30 characters swing around +10 weapons, that should be fine but +10 weapons should be much harder to come by than "I throw money at the problem." Like if you wanted to craft a +10 sword that will be among the greatest swords in the history of the world, so its construction should probably involve some sort of quest. Characters of those levels are basically mythological beings, and all the big important items for various mythological figures come from stories (that lion pelt that Hercules is wearing? That was his first of his 12 labors. Mjölnir? That was created as part of a wager to try to win Loki's head (which he weasels his way out of, naturally.)
If it's an item that every level 19 character could just buy, then any level >20 character should be able to have it, since it's not interesting. The interesting items for epic level characters should probably involve appropriate quests. You probably already have a really good gear before you even get to level 20 anyway. If you want something better, you shouldn't be able to buy it (if level 25 players can buy one, then level 18 players should be able to as well.)
Alternatively "if it is thematically appropriate for this character to own this thing" they do.
Just looking at the data, it's not linear at all. Fitting a line to the data for WBL using least squares from 2 to 20 suggests 593175.4386 for level 21, 632619.2982 for level 22, 672063.157894737 for level 23, which is obviously wrong since the WBL for level 20 is 880000. Fitting an exponential overestimates giving 1763786.743, 2461430.036, 3435017.214, 4793694.351, 6689778.857, 9335835.344, 13028505.64, 18181764.46, 25373328.91, and 35409424.72 for levels 21 through 30. It's too late at night to remember how to get google docs to fit a polynomial curve, but you might as well just round those numbers down to something nice looking and use that.
| DM_Blake |
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Yes, it's very close to 1.3 (after the first 6 levels)
I did the math. Excel is awesome.
I'll use spoilers to minimize clutter. Sorry, the table formatting isn't great but I'm not going to spend an hour lining everything up with dots to make neat columns for this post. The first column is your level, second is your WBL value, third is the percentage of increase from the previous level (there is no percentage of increase from level 1 to level 2).
02 1,000
03 3,000 3.00
04 6,000 2.00
05 10,500 1.75
06 16,000 1.52
07 23,500 1.47
08 33,000 1.40
09 46,000 1.39
10 62,000 1.35
11 82,000 1.32
12 108,000 1.32
13 140,000 1.30
14 185,000 1.32
15 240,000 1.30
16 315,000 1.31
17 410,000 1.30
18 530,000 1.29
19 685,000 1.29
20 880,000 1.28
As you can see, after level 10 the percentages are always between very close to 1.3. Based on that, I projected the table to level 50. But it created weird (not round) numbers. For example, the WBL for level 27 was 37,948,861.44 gp. That's not pretty. So I took the liberty of rounding the numbers to make them look neat.
Here's my projected table:
02 1,000
03 3,000 3.00
04 6,000 2.00
05 10,500 1.75
06 16,000 1.52
07 23,500 1.47
08 33,000 1.40
09 46,000 1.39
10 62,000 1.35
11 82,000 1.32
12 108,000 1.32
13 140,000 1.30
14 185,000 1.32
15 240,000 1.30
16 315,000 1.31
17 410,000 1.30
18 530,000 1.29
19 685,000 1.29
20 880,000 1.28
21 1,150,000 1.31
22 1,500,000 1.30
23 2,000,000 1.33
24 2,600,000 1.30
25 3,400,000 1.31
26 4,400,000 1.29
27 5,700,000 1.30
28 7,400,000 1.30
29 9,600,000 1.30
30 12,500,000 1.30
31 16,250,000 1.30
32 21,130,000 1.30
33 27,500,000 1.30
34 35,750,000 1.30
35 46,500,000 1.30
36 60,000,000 1.29
37 78,000,000 1.30
38 100,000,000 1.28
39 130,000,000 1.30
40 170,000,000 1.31
41 220,000,000 1.29
42 285,000,000 1.30
43 370,000,000 1.30
44 480,000,000 1.30
45 625,000,000 1.30
46 800,000,000 1.28
47 1,050,000,000 1.31
48 1,350,000,000 1.29
49 1,750,000,000 1.30
50 2,275,000,000 1.30
As you can see here, that stayed very close to the previous increase ratio, all the way to level 50.
Yes, at level 50, your projected Wealth-by-Level is 2.275 BILLION gp. Try not to spend it all in one place...
(The following spoiler contains the same table without the percentages in case anyone cares.)
02 1,000
03 3,000
04 6,000
05 10,500
06 16,000
07 23,500
08 33,000
09 46,000
10 62,000
11 82,000
12 108,000
13 140,000
14 185,000
15 240,000
16 315,000
17 410,000
18 530,000
19 685,000
20 880,000
21 1,150,000
22 1,500,000
23 2,000,000
24 2,600,000
25 3,400,000
26 4,400,000
27 5,700,000
28 7,400,000
29 9,600,000
30 12,500,000
31 16,250,000
32 21,130,000
33 27,500,000
34 35,750,000
35 46,500,000
36 60,000,000
37 78,000,000
38 100,000,000
39 130,000,000
40 170,000,000
41 220,000,000
42 285,000,000
43 370,000,000
44 480,000,000
45 625,000,000
46 800,000,000
47 1,050,000,000
48 1,350,000,000
49 1,750,000,000
50 2,275,000,000
| Barachiel Shina |
1.3 got it! Thank you!
To reply to comments about it not mattering, it does for me. I do run into epic level play (adapting what I can from the ELH from 3e D&D) and need something and not "of everyone has an infinite amount of whatever" which would make my campaigns extremely contrived. Thanks anyway though