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Extreme easters
=======================================
(C) 2000-04-17, Magnus Bodin <magnus@bodin.org>
These are the extreme easters (very early or very late). As you can see in the
frequency table, the extreme easter is extreme both in respect to where they
fall and how low their frequency is over a long period of time.
March 22 is the earliest date the easter day (sunday) ever can fall on, and
April 25 is the latest.
Upcoming extreme easters during our lifetime: 2008, 2011, 2038, 2079?
Note that extremely early easters are far less
frequent than extreme late ones. The easter of 2008 will be a feast.
Easter statistics for the years 1800-2200 (corrected)
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TABLE a. Extreme easters TABLE b. Easterdate frequencies
(Years that extreme easterdates appear) (How often all easterdates appear)
+-------------------+-------------------+ +-------------------------------+
|March | April | | Date Frequency % |
| 22 23 24 | 23 24 25| +------------+--------+---------+
+-------------------+-------------------+ | March 22, | 1 | 0.25 |
|1818 1845 1940 | 1848 1859 1886| | March 23, | 5 | 1.25 |
| 1913 | 1905 2011 1943| | March 24, | 1 | 0.25 |
| 1856 1916 2095 2038| | March 25, | 8 | 2.00 |
| 2008 2000 2163 2190| | March 26, | 12 | 3.00 |
| 2160 2079 | | March 27, | 10 | 2.50 |
| 2152 | | March 28, | 10 | 2.50 |
| | | March 29, | 13 | 3.25 |
| | | March 30, | 13 | 3.25 |
+---------------------------------------+ | March 31, | 17 | 4.25 |
|March | | April 1, | 15 | 3.75 |
| 22 | | April 2, | 10 | 2.50 |
+---------------------------------------+ | April 3, | 13 | 3.25 |
|2285 | | April 4, | 13 | 3.25 |
+---------------------------------------+ | April 5, | 16 | 4.00 |
| April 6, | 16 | 4.00 |
| April 7, | 11 | 2.75 |
| April 8, | 10 | 2.50 |
| April 9, | 12 | 3.00 |
| April 10, | 15 | 3.75 |
| April 11, | 16 | 4.00 |
| April 12, | 15 | 3.75 |
| April 13, | 11 | 2.75 |
| April 14, | 14 | 3.50 |
| April 15, | 14 | 3.50 |
| April 16, | 16 | 4.00 |
| April 17, | 16 | 4.00 |
| April 18, | 13 | 3.25 |
| April 19, | 13 | 3.25 |
| April 20, | 13 | 3.25 |
| April 21, | 14 | 3.50 |
| April 22, | 11 | 2.75 |
| April 23, | 6 | 1.50 |
| April 24, | 4 | 1.00 |
| April 25, | 4 | 1.00 |
+------------+--------+---------+
-------------
(from the calendar FAQ:)
Definition of easter:
Easter Sunday is the first Sunday after the first full moon after
vernal equinox.
The sequence of Easter dates repeats itself every 5,700,000 years in the
Gregorian calendar. The number 5,700,000 is the product of the following
numbers:
19 (the Metonic cycle or the cycle of the Golden Number)
400 (the Gregorian equivalent of the Solar cycle)
25 (the cycle used in step 3 when calculating the Epact)
30 (the number of different Epact values)
Each year is associated with a Golden Number.
Considering that the relationship between the moon's phases and the
days of the year repeats itself every 19 years (as described in
section 1), it is natural to associate a number between 1 and 19
with each year. This number is the so-called Golden Number. It is
calculated thus:
GoldenNumber = (year mod 19)+1
New moon will fall on (approximately) the same date in two years
with the same Golden Number.
The Epact is a measure of the age of the moon (i.e. the number of days
that have passed since an "official" new moon) on a particular date.
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