JFem: The Chodesh is not an error in Halacha. Halacha is whatever Chazal say it is (and certainly by Kiddush HaChodesh, where the critical action is Kiddush Bais Din). In fact, Bais Din would manipulate the Chodesh so that certain yom tovim would not fall out on certain days of the week. That is perfectly accptable al pi halacha.
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