Haha love this idea.... I can see it now tho...
And the winner for 10th week straight is dead orbit!!! Lol. I like this and it would make a lot of sense to the community. Since a lot of destiny is done through the app I bet you wouldn't even need to implement anything in the game because all stats are already tracked. And if not in sure a few well written codes could be implemented. So much to gain from this and I don't think it would be tough to do.
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I know most of the mechanics for this are already in the game. Also I think it would be interesting to see if one faction is way more popular. That might give them some insight on future changes.