Power in Aeriador

Author: Ithryn Emrais

Power Levels in Aeriador

Aeriador is a fantastical world full of various races and professions. There are many powerful people that dwell here and I count myself blessed to be an acquaintance to many of them. The “Wise” might say power is knowledge, but there is also a less arbitrary way to count the powerful in the realms.  I have categorized power levels into the chart below and applied a rarity to it. Each higher level is about half as common as the one before it (an exponential/“geometric” rarity).

Using a total population of 60,000,000, here are both the exact-by-level counts and the at-least-this-level counts.

Rarity by Level (q = 0.5 per level)

Each level up halves the headcount. P(exact L) = 0.5^L, P(≥L) = 0.5^(L-1).

“Legendary” (≥11): ~1 in 1,024 people

“Pinnacle” (≥20): ~1 in 524,288 people

Using a total population of 60,000,000, here are both the exact-by-level counts and the at-least-this-level counts.

Level   1-in-n (exact)Count exact  1-in-n (≥)Count ≥
11 in 2.0300000001 in 1.060000000
21 in 4.0150000001 in 2.030000000
31 in 8.075000001 in 4.015000000
41 in 16.037500001 in 8.07500000
51 in 32.018750001 in 16.03750000
61 in 64.09375001 in 32.01875000
71 in 128.04687501 in 64.0937500
81 in 256.02343751 in 128.0468750
91 in 512.01171881 in 256.0234375
101 in 1,024585941 in 512.0117188
111 in 2,048292971 in 1,02458594
121 in 4,096146481 in 2,04829297
131 in 8,19273241 in 4,09614648
141 in 16,38436621 in 8,1927324
151 in 32,76818311 in 16,3843662
161 in 65,5369161 in 32,7681831
171 in 131,0724581 in 65,536916
181 in 262,1442291 in 131,072458
191 in 524,2881141 in 262,144229
201 in 1,048,576571 in 524,288114
211 in 2,097,152291 in 1,048,57657
221 in 4,194,304141 in 2,097,15229
231 in 8,388,60871 in 4,194,30414
241 in 16,777,21641 in 8,388,6087
251 in 33,554,43221 in 16,777,2164
261 in 67,108,86411 in 33,554,4322
271 in 134,217,728~01 in 67,108,8641
281 in 268,435,456~01 in 134,217,728~0
291 in 536,870,912~01 in 268,435,456~0
301 in 1,073,741,824~01 in 536,870,912~0
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