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The formula for magic item prices
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<blockquote data-quote="Truename" data-source="post: 4604265" data-attributes="member: 78255"><p>Oh. Sorry for overreacting. Well, by way of apology, here's what I figured out about the XP charts.</p><p></p><p>There's two things going on here. First, the important thing to remember is that one level equals ten level-appropriate encounters, and ten level-appropriate encounters = 1 standard monster per PC. So the actual amount of experience needed to go up a level SHOULD be 10 * the "standard monster" column on DMG p.56.</p><p></p><p>But it's not. That's because 4e ROUNDS UP at certain points, like this:</p><p></p><p>When the total is... </p><p>< 25,000: don't round</p><p>25,000 < 150,000: round up to nearest multiple of 1,000</p><p>150,000 < 500,000: round up to nearest multiple of 5,000</p><p>500,000 < 950,000: round up to nearest multiple 25,000</p><p>> 950,000: round up to 1,000,000 </p><p></p><p>For example, following the monster XP chart gives you (210,000 XP at level 22 + 41,500 XP from ten encounters equals) 251,500 XP to reach level 23. The actual XP requirement is 255,000. Looking at our round up chart, we see that we have to round the XP requirement up to the nearest multiple of 5,000. Similarly, at level 27, ten encounters gives us 540,000 XP, and we round up to the actual requirement of 550,000.</p><p></p><p>That takes care of one anomaly in the chart. The second thing we need to derive is the monster XP chart. It's easy (almost). Levels come in sets of four. Each set of four sees the monster XP increase by the same amount.</p><p></p><p>For example, level 5 monsters are worth 25 XP more than level 4 monsters, which are worth 25 more than level 3 monsters, and so on. For levels 6-9, monsters are worth 50 more than the preceding level. Here's the complete chart:</p><p></p><p>Levels 2-5: 25 XP</p><p>Levels 6-9: 50 XP</p><p>Levels 10-13: 100 XP</p><p>Levels 14-17: 200 XP</p><p>Levels 18-21: 400 XP</p><p>Levels 22-25: 950 XP HUH???</p><p>Levels 26-29: 2,000 XP WHUT?</p><p>Levels 30-33: 4,000 XP</p><p>Levels 34-37: 8,000 XP</p><p>Levels 38-40: 16,000 XP</p><p></p><p>The amount monsters goes up doubles every four levels... except for the places I've marked "Huh?" and "Whut?". Those spots are special, presumably for rounding reasons again. There may be tidy rounding rules like there is for the XP chart, but it's late and I'm not going to try to figure it out right now.</p></blockquote><p></p>
[QUOTE="Truename, post: 4604265, member: 78255"] Oh. Sorry for overreacting. Well, by way of apology, here's what I figured out about the XP charts. There's two things going on here. First, the important thing to remember is that one level equals ten level-appropriate encounters, and ten level-appropriate encounters = 1 standard monster per PC. So the actual amount of experience needed to go up a level SHOULD be 10 * the "standard monster" column on DMG p.56. But it's not. That's because 4e ROUNDS UP at certain points, like this: When the total is... < 25,000: don't round 25,000 < 150,000: round up to nearest multiple of 1,000 150,000 < 500,000: round up to nearest multiple of 5,000 500,000 < 950,000: round up to nearest multiple 25,000 > 950,000: round up to 1,000,000 For example, following the monster XP chart gives you (210,000 XP at level 22 + 41,500 XP from ten encounters equals) 251,500 XP to reach level 23. The actual XP requirement is 255,000. Looking at our round up chart, we see that we have to round the XP requirement up to the nearest multiple of 5,000. Similarly, at level 27, ten encounters gives us 540,000 XP, and we round up to the actual requirement of 550,000. That takes care of one anomaly in the chart. The second thing we need to derive is the monster XP chart. It's easy (almost). Levels come in sets of four. Each set of four sees the monster XP increase by the same amount. For example, level 5 monsters are worth 25 XP more than level 4 monsters, which are worth 25 more than level 3 monsters, and so on. For levels 6-9, monsters are worth 50 more than the preceding level. Here's the complete chart: Levels 2-5: 25 XP Levels 6-9: 50 XP Levels 10-13: 100 XP Levels 14-17: 200 XP Levels 18-21: 400 XP Levels 22-25: 950 XP HUH??? Levels 26-29: 2,000 XP WHUT? Levels 30-33: 4,000 XP Levels 34-37: 8,000 XP Levels 38-40: 16,000 XP The amount monsters goes up doubles every four levels... except for the places I've marked "Huh?" and "Whut?". Those spots are special, presumably for rounding reasons again. There may be tidy rounding rules like there is for the XP chart, but it's late and I'm not going to try to figure it out right now. [/QUOTE]
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