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<blockquote data-quote="Sadrik" data-source="post: 6400219" data-attributes="member: 14506">Hmm, I think something more hyperbolic would have been better though I think this is fine too. If the idea is to get through the high levels quickly because they are inherently unbalanced but everyone still wants to play through them that is what they have. what I generated below is basically something where you basically hit a wall around level 7. After that you have to play a lot of encounters to really make a difference. I would be ok making the encounter XP more hyperbolic too. Basically the assumption that 10 encounters is enough to level up, shave off one zero from below and divide by 4 (the assumed number in the party). So a level 1 medium encounter would be worth 25xp and a level 20 encounter would be worth 6.5 million. Hmm, actually the math on it could increase to make more encounters between each level up. So levels 1-5 you divide by 40 (as above) and then it increases by 10 at each phase of play so at levels 5-10 you now have divide by 50 then at 11-16 divide by 60 and finally divide by 70 at level 17+. I can see increasing this divisor to make far more encounters as you go up in level. The below chart shows a hyperbolic advancement with a progressively more encounters to level up. After having done the math below I see my analysis is flawed because it does not take into account the XP values of the monsters. I will have to think about that a little more. Mostly though This gets at the idea that higher level will generate way more XP. This is good in a sandbox game where you may want to have varying levels of PCs. One encounter may pop the new PC up multiple levels. And any new PCs will only ever be 1 level behind because you are doubling the XP needed for each additional level.[table=&quot;width: 500, class: grid, align: center&quot;][tr]&nbsp; &nbsp; [td]Level[/td]&nbsp; &nbsp; [td]XP needed to advance to the next level[/td]&nbsp; &nbsp; [td]XP per medium encounter[/td]&nbsp; &nbsp; [td]Number of encounters at Medium difficulty to advance[/td][/tr][tr]&nbsp; &nbsp; [td]1st[/td]&nbsp; &nbsp; [td]1,000[/td]&nbsp; &nbsp; [td]25[/td][td]10[/td][/tr][tr]&nbsp; &nbsp; [td]2nd[/td]&nbsp; &nbsp; [td]2,000[/td]&nbsp; &nbsp; [td]50[/td][td]10[/td][/tr][tr]&nbsp; &nbsp; [td]3rd[/td]&nbsp; &nbsp; [td]4,000[/td]&nbsp; &nbsp; [td]100[/td]&nbsp; &nbsp; [td]10[/td][/tr][tr]&nbsp; &nbsp; [td]4th[/td]&nbsp; &nbsp; [td]8,000[/td]&nbsp; &nbsp; [td]200[/td]&nbsp; &nbsp; [td]10[/td][/tr][tr]&nbsp; &nbsp; [td]5th[/td]&nbsp; &nbsp; [td]16,000[/td]&nbsp; &nbsp; [td]320[/td]&nbsp; &nbsp; [td]12.5[/td][/tr][tr]&nbsp; &nbsp; [td]6th[/td]&nbsp; &nbsp; [td]32,000[/td]&nbsp; &nbsp; [td]640[/td]&nbsp; &nbsp; [td]12.5[/td][/tr][tr]&nbsp; &nbsp; [td]7th[/td]&nbsp; &nbsp; [td]64,000[/td]&nbsp; &nbsp; [td]1,280[/td]&nbsp; &nbsp; [td]12.5[/td][/tr][tr]&nbsp; &nbsp; [td]8th[/td]&nbsp; &nbsp; [td]128,000[/td]&nbsp; &nbsp; [td]2,560[/td]&nbsp; &nbsp; [td]12.5[/td][/tr][tr]&nbsp; &nbsp; [td]9th[/td]&nbsp; &nbsp; [td]256,000[/td]&nbsp; &nbsp; [td]5,120[/td]&nbsp; &nbsp; [td]12.5[/td][/tr][tr]&nbsp; &nbsp; [td]10th[/td]&nbsp; &nbsp; [td]512,000[/td]&nbsp; &nbsp; [td]10,240[/td]&nbsp; &nbsp; [td]12.5[/td][/tr][tr]&nbsp; &nbsp; [td]11th[/td]&nbsp; &nbsp; [td]1,024,000[/td]&nbsp; &nbsp; [td]17,067[/td]&nbsp; &nbsp; [td]15[/td][/tr][tr]&nbsp; &nbsp; [td]12th[/td]&nbsp; &nbsp; [td]2,048,000[/td]&nbsp; &nbsp; [td]34,133[/td]&nbsp; &nbsp; [td]15[/td][/tr][tr]&nbsp; &nbsp; [td]13th[/td]&nbsp; &nbsp; [td]4,096,000[/td]&nbsp; &nbsp; [td]68,267[/td]&nbsp; &nbsp; [td]15[/td][/tr][tr]&nbsp; &nbsp; [td]14th[/td]&nbsp; &nbsp; [td]8,192,000[/td]&nbsp; &nbsp; [td]136,533[/td]&nbsp; &nbsp; [td]15[/td][/tr][tr]&nbsp; &nbsp; [td]15th[/td]&nbsp; &nbsp; [td]16,384,000[/td]&nbsp; &nbsp; [td]237,067[/td]&nbsp; &nbsp; [td]15[/td][/tr][tr]&nbsp; &nbsp; [td]16th[/td]&nbsp; &nbsp; [td]32,768,000[/td]&nbsp; &nbsp; [td]546,133[/td]&nbsp; &nbsp; [td]15[/td][/tr][tr]&nbsp; &nbsp; [td]17th[/td]&nbsp; &nbsp; [td]65,536,000[/td]&nbsp; &nbsp; [td]936,229[/td]&nbsp; &nbsp; [td]17.5[/td][/tr][tr]&nbsp; &nbsp; [td]18th[/td]&nbsp; &nbsp; [td]131,072,000[/td]&nbsp; &nbsp; [td]1,872,457[/td]&nbsp; &nbsp; [td]17.5[/td][/tr][tr]&nbsp; &nbsp; [td]19th[/td]&nbsp; &nbsp; [td]262,144,000[/td]&nbsp; &nbsp; [td]3,744,914[/td]&nbsp; &nbsp; [td]17.5[/td][/tr][tr]&nbsp; &nbsp; [td]20th[/td]&nbsp; &nbsp; [td]N/A[/td]&nbsp; &nbsp; [td]N/A[/td][/tr][/table]</blockquote>

[QUOTE="Sadrik, post: 6400219, member: 14506"] Hmm, I think something more hyperbolic would have been better though I think this is fine too. If the idea is to get through the high levels quickly because they are inherently unbalanced but everyone still wants to play through them that is what they have. what I generated below is basically something where you basically hit a wall around level 7. After that you have to play a lot of encounters to really make a difference. I would be ok making the encounter XP more hyperbolic too. Basically the assumption that 10 encounters is enough to level up, shave off one zero from below and divide by 4 (the assumed number in the party). So a level 1 medium encounter would be worth 25xp and a level 20 encounter would be worth 6.5 million. Hmm, actually the math on it could increase to make more encounters between each level up. So levels 1-5 you divide by 40 (as above) and then it increases by 10 at each phase of play so at levels 5-10 you now have divide by 50 then at 11-16 divide by 60 and finally divide by 70 at level 17+. I can see increasing this divisor to make far more encounters as you go up in level. The below chart shows a hyperbolic advancement with a progressively more encounters to level up. After having done the math below I see my analysis is flawed because it does not take into account the XP values of the monsters. I will have to think about that a little more. Mostly though This gets at the idea that higher level will generate way more XP. This is good in a sandbox game where you may want to have varying levels of PCs. One encounter may pop the new PC up multiple levels. And any new PCs will only ever be 1 level behind because you are doubling the XP needed for each additional level. [table="width: 500, class: grid, align: center"] [tr] [td][B]Level[/B][/td] [td][B]XP needed to advance to the next level[/B][/td] [td][B]XP per medium encounter[/B][/td] [td][B]Number of encounters at Medium difficulty to advance[/B][/td] [/tr] [tr] [td]1st[/td] [td]1,000[/td] [td]25[/td] [td]10[/td] [/tr] [tr] [td]2nd[/td] [td]2,000[/td] [td]50[/td] [td]10[/td] [/tr] [tr] [td]3rd[/td] [td]4,000[/td] [td]100[/td] [td]10[/td] [/tr] [tr] [td]4th[/td] [td]8,000[/td] [td]200[/td] [td]10[/td] [/tr] [tr] [td]5th[/td] [td]16,000[/td] [td]320[/td] [td]12.5[/td] [/tr] [tr] [td]6th[/td] [td]32,000[/td] [td]640[/td] [td]12.5[/td] [/tr] [tr] [td]7th[/td] [td]64,000[/td] [td]1,280[/td] [td]12.5[/td] [/tr] [tr] [td]8th[/td] [td]128,000[/td] [td]2,560[/td] [td]12.5[/td] [/tr] [tr] [td]9th[/td] [td]256,000[/td] [td]5,120[/td] [td]12.5[/td] [/tr] [tr] [td]10th[/td] [td]512,000[/td] [td]10,240[/td] [td]12.5[/td] [/tr] [tr] [td]11th[/td] [td]1,024,000[/td] [td]17,067[/td] [td]15[/td] [/tr] [tr] [td]12th[/td] [td]2,048,000[/td] [td]34,133[/td] [td]15[/td] [/tr] [tr] [td]13th[/td] [td]4,096,000[/td] [td]68,267[/td] [td]15[/td] [/tr] [tr] [td]14th[/td] [td]8,192,000[/td] [td]136,533[/td] [td]15[/td] [/tr] [tr] [td]15th[/td] [td]16,384,000[/td] [td]237,067[/td] [td]15[/td] [/tr] [tr] [td]16th[/td] [td]32,768,000[/td] [td]546,133[/td] [td]15[/td] [/tr] [tr] [td]17th[/td] [td]65,536,000[/td] [td]936,229[/td] [td]17.5[/td] [/tr] [tr] [td]18th[/td] [td]131,072,000[/td] [td]1,872,457[/td] [td]17.5[/td] [/tr] [tr] [td]19th[/td] [td]262,144,000[/td] [td]3,744,914[/td] [td]17.5[/td] [/tr] [tr] [td]20th[/td] [td]N/A[/td] [td]N/A[/td] [/tr] [/table] [/QUOTE]

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