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It's an interesting question how much being Royal weakens a piece or its
side. Last night, I threw together a ZRF for a game I called <b>Royal Amazon Chess</b> with the following rule changes from Orthochess:
<ol>
<p><li>The Queen is replaced by a Royal Amazon, which moves like a Queen or a Knight, but is subject to check and mate just as the King is. The Royal Amazon may move through attacked squares.
<p><LI>Pawns still promote to Knight, Bishop, Rook or Queen.
</ol><p>
At a quick look, it seems more drawish than Orthochess.
<p>
A further idea that I will test tonight, time allowing, is to add Orthochess vs Royal Amazon Chess variants. I suspect the side with the Queen will be better off than the side with the Royal Amazon.