[Voronwe]

Actually, the proportions of Aragorn's blood n generations after Elros would be given by the following. To get the percentage, just multiply by 100:

E = 9/(16 x 2^n)
= 9/2^(n+4)

M = 1/(16 x 2^n)
= 1/2^(n+4)

H = 1 - E - M
= 1 - 10/2^(n+4)

(the ^ symbol means 'to the power of')

This is based on the unreasonable assumption that only one person in each generation from Elros to Aragorn was of Elros' line. Thus, Aragorn was probably a bit more elvish and maia than the above indicate.

Aragorn was more than 60 generations away from Elros. If one were to represent Aragorn's blood by the grains of sand on a beach, just one of those grains would represent his Maia blood. It had been pretty watered-down by then.

-Voronwe

[ January 19, 2002: Message edited by: Voronwe ]