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<blockquote data-quote="JuzamDjinn" data-source="post: 3893962" data-attributes="member: 20370">The discrepancies are because 4/3 and 1.5 are actually estimations in both cases.&nbsp; U_K is using CR*2=EL+6.&nbsp; This means that EL+3=CR*(2^.5).&nbsp; In other words, EL+3 is CR times the square root of two, where the square root of 2 is 1.4142, or about 1.4 which is probably close enough.&nbsp; The problem is that U_K in one point has estimated the sqaure root of 2 about about 4/3 (1.3333), and at one point as 1.5.&nbsp; Using about 1.4, it would be corrected as follows:• ECL is .35 Party Level or CR is .23 Party Level = EL -9 = Irrelevant = 99.99375% chance of party victory• ECL is 1/2 Party Level or CR is 1/3 Party Level = EL -6 = Very Easy = 99.95% chance of party victory• ECL is 7/10 Party Level or CR is .47 Party Level = EL -3 = Easy = 99.6% chance of party victory• ECL is Party Level or CR is 2/3 Party Level = EL +/- 0 = Moderate = 96.8% chance of party victory• ECL is 1.4x Party Level or CR is 19/20 Party Level = EL +3 = Tough = 75-87.5% (81%) chance of party victory• ECL is 2x Party Level or CR is 4/3 Party Level = EL +6 = Difficult = 12.5-25% (18%) chance of party victory• ECL is 2.8x Party Level or CR is 1.9x Party Level = EL +9 = Impossible = 1.5625% chance of party victoryAs you can see, the numbers don't work out quite as cleanly for EL+3 as they do for EL+6, so U_K is using an estimate--but a slightly different estimate in the two examples you gave.Also, any given EL represents a *range* of CRs, so the best approach is probably just to look at a table to determine the EL, and from there compare the EL to the average party level.&nbsp; U_K has a table for v5, but it would have to be changed for v6.</blockquote>

[QUOTE="JuzamDjinn, post: 3893962, member: 20370"] The discrepancies are because 4/3 and 1.5 are actually estimations in both cases. U_K is using CR*2=EL+6. This means that EL+3=CR*(2^.5). In other words, EL+3 is CR times the square root of two, where the square root of 2 is 1.4142, or about 1.4 which is probably close enough. The problem is that U_K in one point has estimated the sqaure root of 2 about about 4/3 (1.3333), and at one point as 1.5. Using about 1.4, it would be corrected as follows: • ECL is .35 Party Level or CR is .23 Party Level = EL -9 = Irrelevant = 99.99375% chance of party victory • ECL is 1/2 Party Level or CR is 1/3 Party Level = EL -6 = Very Easy = 99.95% chance of party victory • ECL is 7/10 Party Level or CR is .47 Party Level = EL -3 = Easy = 99.6% chance of party victory • ECL is Party Level or CR is 2/3 Party Level = EL +/- 0 = Moderate = 96.8% chance of party victory • ECL is 1.4x Party Level or CR is 19/20 Party Level = EL +3 = Tough = 75-87.5% (81%) chance of party victory • ECL is 2x Party Level or CR is 4/3 Party Level = EL +6 = Difficult = 12.5-25% (18%) chance of party victory • ECL is 2.8x Party Level or CR is 1.9x Party Level = EL +9 = Impossible = 1.5625% chance of party victory As you can see, the numbers don't work out quite as cleanly for EL+3 as they do for EL+6, so U_K is using an estimate--but a slightly different estimate in the two examples you gave. Also, any given EL represents a *range* of CRs, so the best approach is probably just to look at a table to determine the EL, and from there compare the EL to the average party level. U_K has a table for v5, but it would have to be changed for v6. [/QUOTE]

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