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replies(6):
I don't disagree that months should be 1-indexed, but I would not make that assumption solely based on days/years being 1-indexed, since 0-indexing those would be psychotic.
For example, the first day of the first month of the first year is 1.1.1 AD (at least for Gregorian calendar), so we could just go with 0-indexed 0.0.0 AD.