Create a Ladder Rating System

I would like to propose a rating system for the ladder. This would combine a character's rank and level into a single statistic, and it would be useful for players interested in tracking and improving league start performance. The rating formula is as follows.

Rating = Level * log(Level) / log(MaxLevel + rank - 1)

This rating has a range of zero to 100 (MaxLevel), with the first character to level 100 having a perfect 100 rating. Following are some sample data. L is level, R is rank, and P is rating.

L 100 _ R 1 ____ P 100
L 100 _ R 2 ____ P 99.78
L 100 _ R 10 ___ P 98.16
L 100 _ R 100 __ P 87.00
L 100 _ R 1000 _ P 65.77
L 90 __ R 1 ____ P 87.94
L 90 __ R 10 ___ P 86.33
L 90 __ R 100 __ P 76.51
L 90 __ R 1000 _ P 57.84
L 50 __ R 1 ____ P 42.47
L 50 __ R 10 ___ P 41.69
L 50 __ R 100 __ P 36.95
L 50 __ R 1000 _ P 27.93
L 10 __ R 1 ____ P 5.00
L 10 __ R 1000 _ P 3.29

The ladder could include current rating and peak rating, which is the highest rating attained for a character in a league. Adding peak rating and week one peak rating to a character profile would allow players to compare performance.