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 Dungeons & Dra.. Playtest Packet Di.. Arrays
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5 months ago  ::  Jan 29, 2013 - 7:42AM #81
Haldrik
Date Joined: Jan 2, 2004
Posts: 9,567

Sep 6, 2012 -- 6:31AM, Haldrik wrote:

Compare quickly with a set of arrays that cost a different price. This “Elite Array”, 15 14 13 12 11 10, costs 12.5 points.

Here are arrays that cost 12.5 points:

17 11 10 10 10 6
16 12 10 10 10 8
15 14 13 12 11 10
14 14 14 13 11 10

Because the Playtest Array Method uses 15 14 13 12 11 10 as the Standard Array. The values above are other arrays of comparable value.

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5 months ago  ::  Jan 30, 2013 - 11:07AM #82
Haldrik
Date Joined: Jan 2, 2004
Posts: 9,567
I finetuned the calculations of my Array Point-Buy System to treat the tertiary ability, in addition to the primary and the secondary. The finetuning has little impact on the value of an array, and is mainly for scenarios that rarely happen, where the tertiary ability seems one score point better than  expected. But it adds a greater degree of precision.

Haldriks Array Point-Buy System
 Score Primary AbilityCost =Bonus ^2.3 SecondaryAbilityCost =Bonus ^2 TertiaryAbilityCost =Bonus ^1.5 PeripheralAbilitiesCost =Bonus 20 40.5 25 11.2 5 19 27.1 17.6 8.6 4.2 18 24.3 16 8 4 17 14.5 10.2 5.7 3.2 16 12.5 9 5.2 3 15 6.1 4.8 3.3 2.2 14 4.9 4 2.8 2 13 1.5 1.4 1.3 1.2 12 1 1 1 1 11 0.2 10 0 9 −0.8 8 −1 7 −1.8 6 −2 5 −2.8 4 −3 3 −3.8

The table has a number of interesting properties. For example, a 0-Point Buy can purchase an exactly average array (11 11 11 10 10 10). Also, the exponents of the bonuses are a value to the power of about the Golden Ratio (0.618), a surprise.

When using the table, remember, the Primary Ability is your highest ability. The Secondary Ability must be equal to or less than the Primary. The Tertiary ability must be equal to or less than the Secondary, and so on down the array.

In an other thread, you can find a friendlier simpler version of the above table, specifically for the 12.6-point cost of the Standard Array (15 14 13 12 11 10).