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dr_ishmael
@dr_ishmael

@killerkea I forgot to say, thank you for figuring out the fractions for the emblem scaling – the fifteenths are working very well. You spurred me into doing some more analysis (that I’d already done but forgot about), and I just figured out how that somewhat odd fraction comes about!

What I had done was to compare the emblem stats to the top/flag stats at the same level/star combinations, but for some reason I must have dismissed the results as inconclusive. However, I looked at that anew and (re?)discovered that emblems are always 3/8 as powerful as tops/flags.

The fifteenths come in when we get to the per-league bonuses. For tops/flags, each league adds 1/10 to the Wood league stat. For emblems, they get 1/20 (5%) of the Wood top/flag stat per league – not, in actuality, a fraction of their own base stat. If you put the fractions together, however, you have 1/20 divided by 3/8, or 1/20 * 8/3 = 8/60 = 2/15.

QED: KillerKea got the right scaling factors without going through the tortuous mathematics. :) He also got it right when he said “the [emblem] number is probably derived from another number” – it’s derived from the top/flag number!


@kerravon
Great numbers, thanks! But if you could pleeeeeease record your level and the number of stars on the next arena item you get (tomorrow’s free GAPM roll?), I would be ecstatic. I’ve got your numbers all tabulated into pseudo-levels (i.e. I’ve aligned them across leagues), but I can’t combine them with my other data until I know at least one of them for certain.