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Is it possible according to the calculations that the month be 30 days in the northern hemisphere and 29 days in the southern and vice versa?

April 26, 2017days Hemisphere month northern possible southern

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Is it possible according to the calculations that the month be 30 days in the northern hemisphere and 29 days in the southern and vice versa?

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Yes. Also the calculations prove the fact that at any location on earth, the moon becomes visible either on the 29 day, or on the 30th day counted from the visibility of the previous crescent from the same place.