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Nagot Gick Fel said:
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Peter Ebbesen said:
I was comparing 10 turns vs 10 turns as an alternative to the 30 turns vs 30 turns first postulated by me.
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Then, unless I missed something, your calculations are wrong: an Acolyte only costs 134 gold over 10 turns, 167 is for 20 turns. Then, your statement
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My bad - I completely forgot that a Sanguine Acolyte was sacred as well (was thinking in terms of the non-sacred diabolist) and calculated 100 + (10*100/15) = 167!
This changes the situation completely and you may just have a discussion-winner.
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even a mere 10 round life expectancy changes the relative costs to 107 vs 167, or a cost of 56% more.
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doesn't make any sense at all, since relative costs over the same amount of time are independent of time: the total cost a sacred unit X over T turns is
TotalCost(X,T) = BaseCost(X) + (BaseCost(X)/30 * T)
Thus
TotalCost(MictPriest,T) / TotalCost(SangAcol,T)
= (BaseCost(MictPriest) + (BaseCost(MictPriest)/30 * T)) / (BaseCost(SangAcol) + (BaseCost(SangAcol)/30 * T))
= BaseCost(MictPriest) * (1 + 1/30 * T) / BaseCost(SangAcol) * (1 + 1/30 * T)
= BaseCost(MictPriest) / BaseCost(SangAcol)
= 0.8
As you see, the relative costs remain the same (20% less, or 25% more) whatever value you give to T. So, where do these 56% come from?
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The 56% was based on the mistaken assumption that an Acolyte was not sacred. When one is sacred and the other non-sacred, things do not cancel out as nicely as they do when both are sacred, i.e. I was looking at
BaseCost(MictPriest) * (1 + 1/30 * T) vs. BaseCost(SangAcol) * (1 + 1/15 * T)
where, for T = 10, BaseCost(MictPriest)=80, BaseCost(SangAcol)=100, you get
80*(1 + 1/30 * 10) vs 100*(1 + 1/15 * 10) i.e. 107 vs 167 which you can use to see either 107/167 = 0.64 (i.e. a Mictlan priest being 46% cheaper over ten rounds) or 167/107 = 1.56 (i.e. given that you get the same amount of blood from each priest/acolyte, you get 56% more blood from the Mictlan priest per buck).
Anyhow, you just won this discussion hands down for the Sanguine Acolyte (but not for the Diabolist yet
). With both being sacred the advantage is indeed a fixed 20% in cost or 25% in blood, which given the slightly higher vulnerability of Mictlan's priests and the fact that blood sacrifice is essential for Mictlan it is likely to be parlayed into a meager 0-10% advantage in each Category.