EL Calculation?

Ghostwind

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Alright, I'm having a brain-fade moment. What's the mathematical formula used to determine correct ELs for encounters and adventures?
 
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Ghostwind said:
Alright, I'm having a brain-fade moment. What's the mathematical formula used to determine correct ECLs for encounters and adventures?

Since you are talking about encounters, do you mean ELs instead of ECLs?

ECL = Effective character level = level "cost" of templates and certain races.
 

If you mean EL, here's one solution that has worked well for me. http://jjtone.com/wp/archives/2004/08/16/encounter-level-challenge-rating-party-strength/

I put the formula in an Excel/Openoffice spreadsheet and let the computer do the work.

The formula is
p = CR {if CR < =2} or 2^(CR/2) {if CR > 2}
EL = SIGMA(p) {if SIGMA(p) < =2} or 2 * ln (SIGMA(p))/ln(2) {if SIGMA(p) > 2}

If the group consists of PC’s instead of monsters, substitute their adjusted levels for CR.

For example, if your party consists of 5 members, level 4, 4, 5, 7, 10, then the total party is equivalent to EL 11.66. An appropriate challenge would be EL 7.66.
 


Okay, for the calculus challenged, is there an easier formula or does someone have this nifty formula that jtone just gave already in Excel format?
 

I have it written up in an Excel Spreadsheet. You can email me at joel [at] jjtone.com and I'll send you a copy.

Also note that according to my calculations:

Appropriate (Party EL - 4) approximately 15 of these = 1 level
Difficult (Party EL - 2) approximately 8 of these = 1 level
Deadly (Party EL) approximately 4 of these = 1 level
 


sigma means sum.

also, from jtone's fromula, he uses ln and divides by ln(2) -- this is converting to log base 2. Excel has a function called logbase, just go logbase (blah, 2) instead of ln, and skip the ln(2).

Oh, and there is no calculus in this or any preceding post. ;)
 


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