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I'm smiling every time I read that a game is designed to improve chess. Good luck.
However, I think this game looks interesting. I see it as a variant of Sit-Tu-Yin, Burmese chess, and that is rather rare, so quite interesting.
It is written "Historia Ŝako come from Esperanto language means Historical Chess. It received this name because it tracks movements of bishop/elephant and queen, movements that are characteristic of history of both western and eastern variants." The fact is the proposed elephant and queen are not historical. So, I my opinion, the name of this game is not well chosen.
Thank, for comment, I know that both move of queen and elephant quite not historical much but I try best way to incorporate way and make elephant and queen aren't historical much, but it best way tas I can done to preserve dynamic of each pieces.
In fact if I use elephant as in South East Asian (SEA) varaints, the piece value is just go very weird much, elephant that move like silver general is pretty weak piece have value around 230 centipawns but it still can win with stalemating opponent (it's basically weakest fairy pieces that can force stalemate in 8×8 board), but it's weaker than knight and bishop much, in normal situations even exchange bishop with elephant and pawn still isn't good much.
In silver general edgame agianst either major piece is always lose because fotress position that can be done with elephant (which move like crane from tori shogi) doesn't work. in crane version can draw agianst queen but lose agianst rook, knight done aganist rook and queen vice versa make in basic endgame more interesting for me.
In my view, I want to introduce another dynamic that just from SEA variants, slow piece but good in control front squares. In Contrast of classic chess bishop and queen just move around board at fast rate, I just want to game slower but still fun with with adaption some dynamic from SEA variants, I think changing some movement (although it's not quite historical), but I think it's good enough to introduce new dynamics.
Queen is only piece that have both leap and rider movements, in this game it's have 2 leaper piece types, knight and elephant, 2 rider piece types, bishop and rook, making queen more make sense for me as it only 1 piece on board that combined movement of both leap and range movements and also preserve diagonal as main movement from old queen that only make diagonal 1 step.
For pawn structure and placement in intial setup, it's heavily influenced from Sittuyin as you said, but take pawn 1 step back in intial setup make more space for piece to play in center and make pawn not face each other at start of the game.
Your modified Elephant and Queen are fine in my opinion. I was just saying that they are not historical as no historical chess, nowhere, is playing them. As you said that you named your game Historia ^Sako because of these 2 pieces I was just commenting that the name of this game is maybe not fitting well.
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