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'Another way to balance 1 and 1/2 move chess is to have white accumulate at 1.45 moves instead of 1.5 this way after a 20 move game white will be off by exactly 1 move that it is penalized at the start for.' Not quite. 20 times .45 is 9.0, but 19 times .5 is 9.5, thus you penalize White more. Your idea is interesting because it makes a subtle difference in the play of the game, but perhaps the penalty should only apply during the first 10 moves and after that White accumulates at the normal rate.
It would be nice if the penalty can be done in a uniform way, however balance is more important, so applying it the first 10 moves is perhaps a good balance between uniformity and balance.
Betza for ever!
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