History of the Calendar

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History of the Calendar

The purpose of the calendar is to reckon past or future time, to show how many days until a certain event takes place—the harvest or a religious festival—or how long since something important happened. The earliest calendars must have been strongly influenced by the geographical location of the people who made them. In colder countries, the concept of the year was determined by the seasons, specifically by the end of winter. But in warmer countries, where the seasons are less pronounced, the Moon became the basic unit for time reckoning; an old Jewish book says that “the Moon was created for the counting of the days.”

Most of the oldest calendars were lunar calendars, based on the time interval from one new moon to the next—a so-called lunation. But even in a warm climate there are annual events that pay no attention to the phases of the Moon. In some areas it was a rainy season; in Egypt it was the annual flooding of the Nile River. The calendar had to account for these yearly events as well.

The Egyptian Calendar

The ancient Egyptians used a calendar with 12 months of 30 days each, for a total of 360 days per year. About 4000 B.C. they added five extra days at the end of every year to bring it more into line with the solar year.1 These five days became a festival because it was thought to be unlucky to work during that time.

The Egyptians had calculated that the solar year was actually closer to 3651/4 days, but instead of having a single leap day every four years to account for the fractional day (the way we do now), they let the one-quarter day accumulate. After 1,460 solar years, or four periods of 365 years, 1,461 Egyptian years had passed. This means that as the years passed, the Egyptian months fell out of sync with the seasons, so that the summer months eventually fell during winter. Only once every 1,460 years did their calendar year coincide precisely with the solar year.

In addition to the civic calendar, the Egyptians also had a religious calendar that was based on the 291/2-day lunar cycle and was more closely linked with agricultural cycles and the movements of the stars.

1. The correct figures are lunation: 29 d, 12 h, 44 min, 2.8 sec (29.530585 d); solar year: 365 d, 5 h, 48 min, 46 sec (365.242216 d); 12 lunations: 354 d, 8 h, 48 min, 34 sec (354.3671 d).

Lunar Calendars

During antiquity the lunar calendar that best approximated a solar-year calendar was based on a 19-year period, with 7 of these 19 years having 13 months. In all, the period contained 235 months. Still using the lunation value of 291/2 days, this made a total of 6,9321/2 days, while 19 solar years added up to 6,939.7 days, a difference of just one week per period and about five weeks per century.

Even the 19-year period required adjustment, but it became the basis of the calendars of the ancient Chinese, Babylonians, Greeks, and Jews. This same calendar was also used by the Arabs, but Muhammad later forbade shifting from 12 months to 13 months, so that the Islamic calendar now has a lunar year of about 354 days. As a result, the months of the Islamic calendar, as well as the Islamic religious festivals, migrate through all the seasons of the year.

The Roman Calendar

When Rome emerged as a world power, the difficulties of making a calendar were well known, but the Romans complicated their lives because of their superstition that even numbers were unlucky. Hence their months were 29 or 31 days long, with the exception of February, which had 28 days. However, four months of 31 days, seven months of 29 days, and one month of 28 days added up to only 355 days. Therefore the Romans invented an extra month called Mercedonius of 22 or 23 days. It was added every second year.

Even with Mercedonius, the Roman calendar eventually became so far off that Julius Caesar, advised by the astronomer Sosigenes, ordered a sweeping reform. 46 B.C. was made 445 days long by imperial decree, bringing the calendar back in step with the seasons. Then the solar year (with the value of 365 days and 6 hours) was made the basis of the calendar. The months were 30 or 31 days in length, and to take care of the 6 hours, every fourth year was made a 366-day year. Moreover, Caesar decreed the year began with the first of January, not with the vernal equinox in late March.

This calendar was named the Julian calendar, after Julius Caesar, and it continues to be used by Eastern Orthodox churches for holiday calculations to this day. However, despite the correction, the Julian calendar is still 111/2 minutes longer than the actual solar year, and after a number of centuries, even 111/2 minutes adds up.

The Gregorian Reform

By the 15th century the Julian calendar had drifted behind the solar calendar by about a week, so that the vernal equinox was falling around March 12 instead of around March 20. Pope Sixtus IV (who reigned from 1471 to 1484) decided that another reform was needed and called the German astronomer Regiomontanus to Rome to advise him. Regiomontanus arrived in 1475, but unfortunately he died shortly afterward, and the pope's plans for reform died with him.

Then in 1545, the Council of Trent authorized Pope Paul III to reform the calendar once more. Most of the mathematical and astronomical work was done by Father Christopher Clavius, S.J. The immediate correction, advised by Father Clavius and ordered by Pope Gregory XIII, was that Thursday, Oct. 4, 1582, was to be the last day of the Julian calendar. The next day would be Friday, Oct. 15. For long-range accuracy, a formula suggested by the Vatican librarian Aloysius Giglio was adopted: every fourth year is a leap year unless it is a century year like 1700 or 1800. Century years can be leap years only when they are divisible by 400 (e.g., 1600 and 2000). This rule eliminates three leap years in four centuries, making the calendar sufficiently accurate.

In spite of the revised leap year rule, an average calendar year is still about 26 seconds longer than the Earth's orbital period. But this discrepancy will need 3,323 years to build up to a single day.

Reform Adopted Gradually

The Gregorian reform was not adopted throughout the West immediately. Most Catholic countries quickly changed to the pope's new calendar in 1582. But Europe's Protestant princes chose to ignore the papal bull and continued with the Julian calendar. It was not until 1700 that the Protestant rulers of Germany and the Netherlands changed to the new calendar. In Great Britain (and its colonies) the shift did not take place until 1752, and in Russia a revolution was needed to introduce the Gregorian calendar in 1918. In Turkey, the Islamic calendar was used until 1926.

Adoption of the Gregorian Calendar

Year Country
1582 Catholic states of Italy, Portugal, Spain, Belgium, Holland, and Poland
1584 German and Swiss Catholic states
1587 Hungary
1700 German, Swiss, and Dutch Protestant States, Denmark, and Norway
1752 Great Britain and its possessions (including the American colonies)
1873 Japan
1875 Egypt
1918 Russia
1924 Greece
1926 Turkey
1949 China

A Better Calendar?

Despite its widespread use, the Gregorian calendar has a number of weaknesses. It cannot be divided into equal halves or quarters; the number of days per month is haphazard; and months and years may begin on any day of the week. Holidays pegged to specific dates may also fall on any day of the week, and few Americans can predict when Thanksgiving will occur next year. Since Gregory XIII, many other proposals for calendar reform have been made, but none has been permanently adopted. In the meantime, the Gregorian calendar keeps the calendar dates in reasonable unison with astronomical events.

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The Chinese Calendar

The Chinese lunisolar calendar is divided into 12 months of 29 or 30 days. The calendar is adjusted to the length of the solar year by the addition of extra months at regular intervals. The years are arranged in major cycles of 60 years. Each successive year is named after one of 12 animals. These 12-year cycles are continuously repeated. The Chinese New Year is celebrated at the second new moon after the winter solstice and falls between January 21 and February 19 on the Gregorian calendar. The year 2007 translates to the Chinese year 4704–4705. The year 2008 translates to the Chinese year 4705–4706.

Rat Ox Tiger Rabbit Dragon Snake Horse Sheep
(Goat)
Monkey Rooster Dog Pig
1900 1901 1902 1903 1904 1905 1906 1907 1908 1909 1910 1911
1912 1913 1914 1915 1916 1917 1918 1919 1920 1921 1922 1923
1924 1925 1926 1927 1928 1929 1930 1931 1932 1933 1934 1935
1936 1937 1938 1939 1940 1941 1942 1943 1944 1945 1946 1947
1948 1949 1950 1951 1952 1953 1954 1955 1956 1957 1958 1959
1960 1961 1962 1963 1964 1965 1966 1967 1968 1969 1970 1971
1972 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983
1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995
1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007
2008 2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019

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The Perpetual Calendar
Based on the Gregorian Calendar Introduced on October 1582 by Pope Gregor XIII
Year Month
Adding Numbers
 
Julian Part Gregorian Part
1501-
1582.10.04
1582.10.15
-1600
1601-1700
2001-2100
1701-1800
2101-2200
1801-1900
2201-2300
1901-2000
2301-2400
JFM AMJ JAS OND YT
01 29 57
02 30 58
03 31 59
04 32 60
      93
      94
      95
      96
   21 49 77 00
   22 50 78
   23 51 79
   24 52 80
   17 45 73
   18 46 74
   19 47 75
   20 48 76
   13 41 69 97
   14 42 70 98
   15 43 71 99
   16 44 72
   09 37 65 93
   10 38 66 94
   11 39 67 95
   12 40 68 96
400 351 362 402
511 462 403 513
622 503 514 624
034 025 036 146



05 33 61
06 34 62
07 35 63
08 36 64
      97
      98
      99
      00
   25 53 81
   26 54 82
   27 55 83
   28 56 84
   21 49 77 00
   22 50 78
   23 51 79
   24 52 80
   17 45 73
   18 46 74
   19 47 75
   20 48 76
   13 41 69 97
   14 42 70 98
   15 43 71 99
   16 44 72 00
255 136 140 250
366 240 251 361
400 351 362 402
512 503 514 624



14 
09 37 65
10 38 66
11 39 67
12 40 68
  01 29 57 85
02 30 58 86
03 31 59 87
04 32 60 88
   25 53 81
   26 54 82
   27 55 83
   28 56 84
   21 49 77 00
   22 50 78
   23 51 79
   24 52 80
   17 45 73
   18 46 74
   19 47 75
   20 48 76
033 614 625 035
144 025 036 146
255 136 140 250
360 351 362 402



12 
13 41 69
14 42 70
15 43 71
16 44 72
  05 33 61 89
06 34 62 90
07 35 63 91
08 36 64 92
01 29 57 85
02 30 58 86
03 31 59 87
04 32 60 88
   25 53 81
   26 54 82
   27 55 83
   28 56 84
   21 49 77
   22 50 78
   23 51 79
   24 52 80
511 462 403 513
622 503 514 624
033 614 625 035
145 136 140 250



10 
17 45 73
18 46 74
19 47 75
20 48 76
 
 
   83
   84
09 37 65 93
10 38 66 94
11 39 67 95
12 40 68 96
05 33 61 89
06 34 62 90
07 35 63 91
08 36 64 92
01 29 57 85
02 30 58 86
03 31 59 87
04 32 60 88
   25 53 81
   26 54 82
   27 55 83
   28 56 84
366 240 251 361
400 351 362 402
511 462 403 513
623 614 625 035



21 49 77
22 50 78
23 51 79
24 52 80
   85
   86
   87
   88
13 41 69 97
14 42 70 98
15 43 71 99
16 44 72
09 37 65 93
10 38 66 94
11 39 67 95
12 40 68 96
05 33 61 89
06 34 62 90
07 35 63 91
08 36 64 92
01 29 57 85
02 30 58 86
03 31 59 87
04 32 60 88
144 025 036 146
255 136 140 250
366 240 251 361
401 462 403 513



13 
25 53 81
26 54
27 55
28 56
   89
   90
   91
   92
17 45 73
18 46 74
19 47 75
20 48 76
13 41 69 97
14 42 70 98
15 43 71 99
16 44 72
09 37 65 93
10 38 66 94
11 39 67 95
12 40 68 96
05 33 61 89
06 34 62 90
07 35 63 91
08 36 64 92
622 503 514 624
033 614 625 035
144 025 036 146
256 240 251 361



11 
      82
82
        033 614 625 0
            402
 

Scheme 3.
The Perpetual Calendar
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 4
 5
 6
 7
 8
 9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
 
 
 
 
 
Monday
Tuesday
Wednesday
Thursday
Friday
Saturday
Sunday
Important tecnical information: the part of Scheme 2 with white background consists of seven rows, each with four lines of figures and one row with two lines. If you see MORE lines than mentioned in ANY of these rows with white background - your screen resolution is too low and you must increase it to use the scheme! Also, if you print this page and see MORE lines in ANY rows, you must set the "Margins" to lower values in your browser's "Page Setup".

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A Brief History of the Calendar

by David Harper, Ph.D., F.R.A.S.

Squaring the Circle

The lives of our ancestors were governed by the cycle of night and day, the waxing and waning of the Moon and the passage of the seasons.

Thus the story of the calendar begins with astronomy, with the Earth, the Sun and the Moon. To be precise, it begins with the length of the day, the year and the lunar month, and the fact that neither the year nor the lunar month is an exact number of days, nor the year an exact number of lunar months.

The cycle of the seasons - Spring, Summer, Autumn, Winter, and Spring once more - is known to astronomers as the tropical year and it can be measured very precisely. It is 365.2421896698 days long, although it is gradually getting shorter by about half a second per century.

The lunar month is measured by the phases of the Moon - New Moon, First Quarter, Full Moon, Last Quarter, and New Moon again. It is 29.5305888531 days long, but getting longer by a little less than a fiftieth of a second per century.

There are 12.36826639275 lunar months in a tropical year.

The history of the calendar is largely about the attempts of astronomers, priests and mathematicians to force the tropical year and the lunar month to fit into a scheme comprised only of whole numbers. Like the geometers who dreamed of ``squaring the circle'' and the alchemists who sought to turn lead into gold, they faced an almost impossible task, but that didn't deter them.

Most ancient calendars, including those of Greece, were based upon lunar months, but in order to keep the calendar in step with the seasons, it was necessary to insert extra months now and then, because 12 lunar months are 10.8751234326 days short of a tropical year. Each of the Greek city-states kept its own calendar, however, and the insertion of the extra, or intercalary, months was left to the public authorities.

In around 432 B.C., Meton of Athens noticed that 235 lunar months were almost exactly equal to 19 tropical years (the discrepancy is about 2 hours) and proposed a 19-year cycle of intercalation. Calippus, a century later, made 940 lunar months equal to 76 years each of 365.25 days. Hipparchus, the father of modern astronomy, suggested a further cycle which made 304 years equal to 3760 lunar months and 111035 days.

The Metonic cycle again became important in the early Christian church, which tied the date of Easter to the phases of the Moon, but it is significant that although the Greeks made many profound contributions to Western culture, their calendar is not one of them.

 

   
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