Summation chart: Difference between revisions
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* http://www.play.net/gs4/info/spells/lores.asp#Summation - The summation chart |
* http://www.play.net/gs4/info/spells/lores.asp#Summation - The summation chart |
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[[category:Magic]][[category:Lores]][[category:Skills |
[[category:Magic]][[category:Lores]][[category:Skills]] |
Revision as of 21:56, 5 October 2016
A chart used to determine the number of ranks required to attain a bonus, based on an incremental additive scale. It is used particularly for Lore bonuses in certain spells. To use the chart all you need to know is the number of skill ranks (not skill bonus) needed to first see a bonus. This value is known as the Seed.
Calculation
n | Bonus |
σ | Seed |
r | Skill Ranks Needed |
n = trunc[ 1-σ + sqrt[(σ-1)^2+2r] ]
r = (n/2)(n+2σ-1)
σ = (1/2)(1+2r/n-n)
Summation Chart
Ranks Needed (r) | ||||||||||
---|---|---|---|---|---|---|---|---|---|---|
Bonus (n) | Seed (σ) | |||||||||
1 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
2 | 3 | 5 | 7 | 9 | 11 | 13 | 15 | 17 | 19 | 21 |
3 | 6 | 9 | 12 | 15 | 18 | 21 | 24 | 27 | 30 | 33 |
4 | 10 | 14 | 18 | 22 | 26 | 30 | 34 | 38 | 42 | 46 |
5 | 15 | 20 | 25 | 30 | 35 | 40 | 45 | 50 | 55 | 60 |
6 | 21 | 27 | 33 | 39 | 45 | 51 | 57 | 63 | 69 | 75 |
7 | 28 | 35 | 42 | 49 | 56 | 63 | 70 | 77 | 84 | 91 |
8 | 36 | 44 | 52 | 60 | 68 | 76 | 84 | 92 | 100 | 108 |
9 | 45 | 54 | 63 | 72 | 81 | 90 | 99 | 108 | 117 | 126 |
10 | 55 | 65 | 75 | 85 | 95 | 105 | 115 | 125 | 135 | 145 |
11 | 66 | 77 | 88 | 99 | 110 | 121 | 132 | 143 | 154 | 165 |
12 | 78 | 90 | 102 | 114 | 126 | 138 | 150 | 162 | 174 | 186 |
13 | 91 | 104 | 117 | 130 | 143 | 156 | 169 | 182 | 195 | 208 |
14 | 105 | 119 | 133 | 147 | 161 | 175 | 189 | 203 | 217 | 231 |
15 | 120 | 135 | 150 | 165 | 180 | 195 | 210 | 225 | 240 | 255 |
16 | 136 | 152 | 168 | 184 | 200 | 216 | 232 | 248 | 264 | 280 |
17 | 153 | 170 | 187 | 204 | 221 | 238 | 255 | 272 | 289 | |
18 | 171 | 189 | 207 | 225 | 243 | 261 | 279 | 297 | ||
19 | 190 | 209 | 228 | 247 | 266 | 285 | ||||
20 | 210 | 230 | 250 | 270 | 290 | |||||
21 | 231 | 252 | 273 | 294 | ||||||
22 | 253 | 275 | 297 | |||||||
23 | 276 | 299 | ||||||||
24 | 300 |
Resources
- Seed chart (saved post)
- http://www.play.net/gs4/info/spells/lores.asp#Summation - The summation chart