Upper_Krust said:
Wrong guess!
The right guess is fairly obvious, actually, but let's not get into it here. I'll try to update my Leadrship calculator for your rules as I get the chance.
Upper_Krust said:
Actually the number of followers is not random its always perfectly double the number of ECL 2 characters.
Let F be the number of 2nd-level followers.
Under the standard system:
There are between 12F-1 and 12F+ceil(lg F)-2 total followers*.
The highest-level follower is level ceil(lg F)+2.
In your system:
There are 12F total followers.
The highest-level follower is level floor(lg F)+2+sum(i=0..infinity, (F / 2^i) % 2).
In the standard system, there's a very small amount of variability in the number of total followers. Some levels it jumps up, others it changes only a little. This is comparitive, though; the biggest discrepancy between what you'd expect and what you get is roughly lg(F)/2. Around *one million* followers, that's a variability of 10 -- not bad, considering each +1 to Leadership gives about 120 new followers. Also, it's montonically increasing: you never lose followers at any given level by gaining Leadership score.
In your system, there's great variability between the level of the highest-level follower. In the standard system, there's almost none. Your system is slightly more difficult to use, but the level of the most powerful follower changes in an essentially random manner (in a particular, well-defined sense).
* For F at least 2. Small cases obviously don't interest us here. Notation: ceil = ceiling, the "round up" function; floor is the "round down" function; lg = base-2 logarithm. lg
x is about 3 times the number of digits in
x -- that is, it's a small number. % is the modulo operator;
x % 2 is 0 for
x even and 1 for
x odd.
