Calculating the rating for clans!

Here's a proposed system for calculating clan ratings. The clan rating (Rklan) consists of two components: 1. A non-linear component: Rnel = ∑R(n), where R(n) is the rating of each clan member according to a non-linear system. 2. A linear component: Rlin = ∑M(n), where M(n) is the number of points each member receives for their placement in a tournament. M(n) is calculated using a geometric progression (this is done to ensure that the gap between stronger players who place higher is significant. This allows small but strong clans to achieve high ratings). So, M(n) = M(n+1) * q, where q is the progression multiplier. M(n)min = 1, q = 2. The maximum number of points for first place is limited by the number of participants, but only those belonging to clans (i.e., if players not belonging to clans participate in the tournament, their placement is not counted as an existing one). The progression multiplier is chosen as 2, as the minimum value that yields whole numbers. Rklan = (Rnel + Rlin) / 2 This will allow strong players to easily outperform "noobs," as the rating of one strong player exceeds the sum of the ratings of all lower-ranked players. This is just a rough draft, and I look forward to receiving constructive criticism.