Player rating for tournaments across all installments of Heroes.

Oops! Huge thanks to the esteemed IronAxe and AmberSoler, as well as Sage for participating in the discussion. Only now I don't understand anything at all. :( You write so much every day that I lose my train of thought by the time I reach the middle. I'll try to summarize something; if I'm wrong, please correct me.
1 - Rating is calculated for each version separately (it is consolidated into a general table only for those who played at least 3/5 Tournaments).
2 - The calculation takes into account RATING separately, which has the characteristic of aging by 10% after each tournament, and GRAILS separately, which simply accumulate and are spent on the doll.
3 - The calculation formula for both may be the same.
4 - An oscillator is intended to smooth out overly sharp rises and falls.
5 - When calculating rating/grails, three points are significant: a) the number of tournament participants; b) the Walkthrough time compared to the leader; c) the tournament rating, which becomes an additional coefficient.
I think that's all. Any comments?