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Indeed in progressive chess the repetition rule regards the position of the pieces at the end of a turn, not at the end of a move.
The rule for the English variant says "Each mobile piece must move once before it can move twice", but it should say "Each mobile piece must move once before any piece can move twice". (Then the same change should be made for twice before thrice, of course.) Also, it would be clearer if the rules common to all three variants were listed first, and then the differences listed separately (perhaps summarized in a table, even). In particular, all three have the rule that you must escape check on the first move of a series, or else you're checkmated; and that the number of moves you get on your turn is equal to the turn number.
I've seen on an internet chess chat site a Canadian Candidate Master claim that (in at least one of the three main variants of Progressive Chess, if not all), Black has a slight advantage, if playing 1...d6 + 2...Nf6 against most White first moves,
In trying to tentatively estimate the value of the pieces in Progressive Chess (in its main variants), I'd guess that the long range pieces may be generally worth, say, one and a half times what I give them as in standard chess. Thus: P=1; N=3.49; B=5.25; R=8.25; Q=15 and the fighting value of K=4 (though naturally it cannot be traded).
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