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Player rating for tournaments across all installments of Heroes.

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AmberSoler;99435
... multiplying them by k=100/96.89.
That's exactly why I didn't want to reinvent the wheel...
AmberSoler;99435
The average blitz rating is just a parametric coefficient of the mutual arrangement of participants in relation to each other, but not a rating in absolute terms. If you don't take into account two digits after the decimal point, then rounding is according to the rules of mathematics, but I think it is necessary to take them into account.
Well, you can argue with this statement... or rather, rephrase it a little... for example:

The game rating is just a parametric coefficient of the mutual arrangement of participants in relation to each other.

From this statement, it is clear that there is no difference between the Game Rating and the Average Blitz Rating. :D

But in principle, I am not against the coefficient... if no one is against it, then I won't be against it either!

Sincerely.

Кто состоянием своим доволен, тому жить весело. (с)Алекса́ндр Васи́льевич Суво́ров