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The Gregorian calendar (from Pope Gregory) used in the West was a correction to the Julian calendar (from Julius Caesar). Over time, the incorrect calculation of leap years in the Julian calendar built up to the point where the calendar didn't match the seasons any longer. The Gregorian calendar corrected the calculation, and *added* some days (eleven, I think, at the time) to adjust the date to the position of the earth around the sun. The difference between the two calendars continues to build, and is at 13 days now.
Many Orthodox Churches have not changed to the Gregorian calendar for calculation of festivals in the church, so important dates occur 13 days later. That is, they have not yet reached December 25 on the Julian calendar, even though the civil calendar is (for me, at this moment) is Jan 3. They'll get to Julian-calendar December 25 on Jan 7 on the Gregorian/civil calendar.
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