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> there’s nothing logarithmic about elo. A 1500 playing a 500 has the same odds as winning as a 2500 playing a 1500, mathematically.

Odds ratios being constant with difference is what you’d expect with a logarithmic scale, with a linear scale you’d expect odds ratios to be constant with the ratio of the ratings.

So, you’ve just explained the way in which elo is logarithmic as your evidence that it is not.

Hm you know what that makes some sense, my bad

Extra Extra Pedantry: Lichess doesn't use Elo, it uses Glicko-2 rating system instead.

No, its scale is directly based on log odds - 10 times more likely to win = 400 points higher on ELO.

https://math.stackexchange.com/questions/1731991/why-does-th...