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Celandra is a game in which the players take the roles of societies, rather than playing individual characters. The players will invent a society with its culture and heritage, and will guide its development and interaction with the world. Emphasis will be be placed on developing a detailed history of Celandra, along with myths and legends.
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AndrewJanssen
Andrew Janssen

Sun

Aug 7
2005

13:14

[Cel] [Rules] Dice, Difficulty, & Fudge Points

All the discussion about fudge points got me started on some serious 
number crunching. Some of it is a reduplication of the fine print on the 
rules site.

Anyway, I'm assuming that actions are resolved by:

/diff/ + /det/ + /dice/ [+ /mod/],

where /diff/ = difficulty of action, /det/ = relevant determinant, 
/dice/ = roll of four fudge dice, and /mod/ =effect of doubling or extra 
action.

For the example case, I assume a typical 4-action turn, no extras and no 
doubling, so we can ignore /mod/. We can sum /diff/ & /det/, giving us a 
"target number" between -8 and +8.

I am also assuming, for the purposes of argument, that 8 fudge points is 
the maximum which can be applied to an action.

I'm not going to lay down the complete distribution table in this post, 
to save space, but I will put it on the Phoenyx site later. To summarize it:

1. If the target number is -5 or less, failure is inevitable without 
doubling or quadrupling the action.

2. If the target number is +5 or more, success is guaranteed for a 
single action.

3. In the region between +4 and -4, the minimum number of fudge points 
needed to avoid failure for a single action follows this table:

| Target | FP | Result range
|  +4    |  1 | Complete success to Mythic success
|  +3    |  2 | Complete success to Mythic success
|  +2    |  3 | Complete success to Extraordinary success
|  +1    |  4 | Complete success to Extraordinary success
|   0    |  5 | Complete success to Superior success
|  -1    |  6 | Complete success to Superior success
|  -2    |  7 | Complete success
|  -3    |  8 | Complete success
|  -4    |  8 | Mixed results

5. To have any chance to succeed at an Epic (-4) task requires that the 
relevant determinant be at least Good (+1); or that the action be 
doubled if the relevant determinant is Fair (0); or that the action be 
quadrupled if the relevant determinant is Mediocre (-1). Even then, it's 
only a 1% chance. If your relevant determinant is Legendary, your 
unmodified chance to succeed at an Epic task is 38.3%--your chance to 
avoid failure, however, is 61.3%.

6. Epic actions are thus possible, but if you undertake one, you can 
pretty much forget about using fudge points for anything else.

Andrew
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