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Understanding the maths behind 5e
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<blockquote data-quote="NotAYakk" data-source="post: 7902787" data-attributes="member: 72555"><p>I copied XP progression from the DMG chart. I played with exponents until I got a roughly linear set of values from 1 to 20.</p><p></p><p>I was trying to go from raw stats to CR at the time, and after noticing the raw stats to XP connection, I figured converting XP to XR would help.</p><p></p><p>The values where not quite linear, so I examined how. Setting CR 1 to a multiple of 3 was because 1/2 and 1/4 was roughly 2/3 and 1/3 of the calue for 1.</p><p></p><p>Setting CR 1 to 12 gives really low percent errors for CR 1/8, 1/4, 1/2 and 1 as integers.</p><p></p><p>Then it is just some curve fitting. It was in my response that I noticed that putting inflection points at 5/11/17 and 20ish worked well.</p><p></p><p>The "just add them up" was a goal of mine. From looking at 4e CR I knew you can do lots to make that work.</p><p></p><p>I'll have to confirm that adding them up does the right thing with these numbers. But the test isn't that hard; take 12 CR 1/8 (36 EBP, which is CR 4). And use DMG to calculate XP multiplier etc. Then compare witb XP of CR 4 monster.</p><p></p><p>Repeat a few times.</p></blockquote><p></p>
[QUOTE="NotAYakk, post: 7902787, member: 72555"] I copied XP progression from the DMG chart. I played with exponents until I got a roughly linear set of values from 1 to 20. I was trying to go from raw stats to CR at the time, and after noticing the raw stats to XP connection, I figured converting XP to XR would help. The values where not quite linear, so I examined how. Setting CR 1 to a multiple of 3 was because 1/2 and 1/4 was roughly 2/3 and 1/3 of the calue for 1. Setting CR 1 to 12 gives really low percent errors for CR 1/8, 1/4, 1/2 and 1 as integers. Then it is just some curve fitting. It was in my response that I noticed that putting inflection points at 5/11/17 and 20ish worked well. The "just add them up" was a goal of mine. From looking at 4e CR I knew you can do lots to make that work. I'll have to confirm that adding them up does the right thing with these numbers. But the test isn't that hard; take 12 CR 1/8 (36 EBP, which is CR 4). And use DMG to calculate XP multiplier etc. Then compare witb XP of CR 4 monster. Repeat a few times. [/QUOTE]
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