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Very interesting. Maybe a bit complicated indeed.
I like the idea of this, although it seems possibly over-complicated with the momentum rules.
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My first thought was that the stalemated player is usually "Low" and will lose the game in fifty moves. My second thought was: What about my [2023-04-18] Comment to Grander Chess? A few minor changes resulted in the diagram below, where both Kings are equidistant from the centre.
WHITE can play 1.Bc8 and BLACK is stalemated (but still wins the game).
Grant Sinclair writes: "Black’s height advantage, which makes Black High when both Kings are equidistant from the centre, has been designed to balance White’s first-move advantage." This statement is unconvincing. In fact, White’s advantage could be even greater in High Chess.