Pictures from Google Image Search

Calendar, Numbers in the

Mathematics | 2002 | | Copyright 2002, Gale Group. All rights reserved. Gale Group is a Thomson Corporation Company. (Hide copyright information) Copyright

Calendar, Numbers in the


Calendars have always been based on the Sun, Earth, and Moon. Ancient people observed that the position of the Sun in the sky changed with the seasons. They also noticed that the stars seemed to change position in the night sky throughout the year. They saw that the Moon went through phases where it appeared to change its shape over the course of about 30 days. All of these astronomical phenomena happened regularly. As a result, people began to organize their lives around these periodic occurrences, thereby forming the basis for calendars.

Through the centuries, calendars have changed because of astronomy, politics, and religion. Over time, astronomers learned more about the precise movements of the Sun, Earth, and Moon. Politicians would often change the calendar for their own personal gain. In ancient Rome, officials would sometimes add days to the calendar to prolong their terms in office. Church officials also had specific ideas about when religious holidays should occur. Eventually, calendars evolved into the most widely used calendar today, the Gregorian calendar. This is a calendar based on the amount of time it takes Earth to travel around the Sun (365¼ days). However, a year cannot be divided evenly into months, weeks, or days. So even with all of the technology available in the twenty-first century, the Gregorian calendar is still not a perfect calendar.

Ancient Calendars

Some of the first calendars came from ancient Babylonia, Greece, and Egypt. Ancient Egypt and Greece date back to at least 3000 b.c.e. and Babylonia existed from the eighteenth through the sixth century b.c.e. The first written record of the division of a year, however, may have come from as far back as 3500 b.c.e. in Sumeria, which later became Babylonia.

The ancient Babylonians had a lunar calendar based on the phases of the Moon. Each month was 30 days long, the approximate time between full moons, and there were 12 months in the year, thus yielding a 360-day year (12 months × 30 days/month). However, the actual time between full moons is closer to 29.5 days, so a lunar year is 354 days (12 months × 29.5 days/month). But after only a few years, this 6-day difference would cause the seasons to occur in the wrong calendar months. To correct the calendar, the Babylonians added days or months to it when necessary. Calendars that make periodic adjustments such as this are called "lunisolar" calendars.

The ancient Greeks also used a lunisolar calendar, but with only 354 days, the same as an actual lunar year. The Greeks were also the first to adjust their calendar on a scientific basis rather than just adding days when it became necessary.

Around 3000 b.c.e, the Egyptians became the first culture to begin basing their calendar on a solar year, like the current Gregorian calendar. Although Egyptian calendars were 365 days long, astronomers eventually learned that the actual solar year had an extra one-quarter day. But an attempt to apply this knowledge to the calendar did not occur until 238 b.c.e., when Ptolemy III, King of Egypt, decreed that an extra day should be added to every fourth year to make up for the extra one-quarter day each year. However, his decree was largely ignored and the calendar did not contain a "leap year" until 46 b.c.e., when Julius Caesar, Emperor of Rome, created the Julian Calendar.

Caesar and the Calendar

In Rome, the Roman calendar was used from the seventh century b.c.e. to 46 b.c.e. It originally had 10 months and 304 days. The year began with March and ended with December. Later, in the seventh century, Januarius and Februarius were added to the end of the year.

By 46 b.c.e., the calendar had become so out-of-step with the actual seasons that Caesar decided to make 46 b.c.e. last for 445 days to make the calendar consistent with the seasons once more. He then fixed the year at 365 days with every fourth year being a leap year with 366 days. His new calendar was called the Julian calendar. In the Gregorian calendar today, the extra day in a leap year falls at the end of February because February was the last month of the year in the Roman calendar.

Many of the names of the months in the modern Gregorian calendar come from the Roman calendar. The fifth through tenth months of the calendar were named according to their order in the calendarQuintilis, Sextilis, September, October, November, and December. For example, Quintilis means "fifth month" in Latin. Two of the months in the Julian calendar were later renamedQuintilis became July, after Julius Caesar, and Sextilis became August, named after Caesar's successor, Augustus.

When Julius Caesar changed the calendar to 365 days, he did not spread the days evenly over the months as one might expect. Therefore, February continues to have 28 days (29 in a leap year), while all other months are 30 or 31 days.

The Gregorian Calendar

The Gregorian calendar was created in 1582 by Pope Gregory XIII to replace the Julian calendar. The Julian year was 11 minutes and 14 seconds longer than a solar year. Over time, it too, no longer matched the seasons and religious holidays were occurring in the wrong season. In 1582, the vernal equinox , which occurred on March 21 in 325 C.E., occurred 10 days early. Pope Gregory XIII consequently dropped 10 days from the calendar to make it occur again on March 21. In addition, he decided that every century year (1500, 1600, etc.) that was evenly divisible by 400 should be a leap year. All other century years remained common years (365 days).

The Gregorian calendar was slowly accepted by many European and western countries. As different countries adopted the calendar, it went through some interesting changes. For example, Britain* did not accept the calendar until 1752. Previously, the British began a new year on March 25. In order to begin 1752 on January 1, the period January 1 through March 24 of 1751 became January 1 through March 25 of 1752, and 1751 lasted only from March to December.

*When Britain switched from the Julian to the Gregorian calendar in 1752, the loss of 11 days caused by the date adjustment spurred riots in the streets.

Other Calendars

In addition to the Gregorian calendar, many religious calendars exist. For example, the Islamic calendar is a lunar calendar of 354 days. Leap years occur every 2 or 3 years in a 30-day cycle. Many mathematical equations exist for converting dates from religious calendars to the Gregorian calendar.

Many people have proposed changing to a more standard calendar in which the months would have an equal number of days and calendar dates would fall on the same days of the week from year to year. But changing the calendar faces stiff opposition because national and religious holidays would have to be changed.

see also Time, Measurement of.

Kelly J. Martinson

Bibliography

Richards, E. G. Mapping Time: The Calendar and its History. New York: Oxford University Press, Inc., 1998.

Steel, Duncan. Marking Time: The Epic Quest to Invent the Perfect Calendar. New York: John Wiley & Sons, Inc., 2000.

Cite this article
Pick a style below, and copy the text for your bibliography.

  • MLA
  • Chicago
  • APA

Martinson, Kelly J.. "Calendar, Numbers in the." Mathematics. The Gale Group Inc. 2002. Encyclopedia.com. 24 Nov. 2009 <http://www.encyclopedia.com>.

Martinson, Kelly J.. "Calendar, Numbers in the." Mathematics. The Gale Group Inc. 2002. Encyclopedia.com. (November 24, 2009). http://www.encyclopedia.com/doc/1G2-3407500045.html

Martinson, Kelly J.. "Calendar, Numbers in the." Mathematics. The Gale Group Inc. 2002. Retrieved November 24, 2009 from Encyclopedia.com: http://www.encyclopedia.com/doc/1G2-3407500045.html

Learn more about citation styles

Related newspaper, magazine, and trade journal articles from HighBeam Research

(Including press releases, facts, information, and biographies)

A High-Resolution Record of Atmospheric Dust Composition and Variability since A.D. 1650 from a Mount Everest Ice Core
Magazine article from: Journal of Climate; 7/15/2009; ; 700+ words ; ...of and variations in atmospheric dust through time. The chemical...regional variations in atmospheric dust loading. Back...understanding about recent dust storm activity, including...reconstructing past atmospheric dust aerosol loading...
A dusty way to break the ice age spell.(atmospheric dust could have causes warming during last ice age)(Brief Article)
Magazine article from: Science News; 1/11/1997; ; 694 words ; Motes of floating dust may seem insubstantial...climate suggest that atmospheric dust may have triggered...than snow, so extra dust in the atmosphere absorbed...Simulations with the added dust showed warmer temperatures...that sudden surges in atmospheric dustiness could have...
Research shows atmospheric dust-life link in ocean
Newspaper article from: Honolulu Star - Bulletin; 8/10/2000; ; 700+ words ; ...North Pacific. The reason: dust. The North Atlantic is getting...in 1988 to study ocean and atmospheric systems and look for changes...or assimilated, he said. Dust reaches the Atlantic from the...at the National Oceanic and Atmospheric Administration's Beaufort...
Dragon dust: atmospheric science and cooperation on desertification in the Asia and Pacific region.
Magazine article from: Journal of East Asian Studies; 9/1/2006; ; 700+ words ; ...case study of long-range atmospheric transport of dust, which is linked to desertification...dust storms and long-range atmospheric transport of dust, a form...concentrate specifically on atmospheric issues, which are the focus...
ACE-ASIA: Regional Climatic and Atmospheric Chemical Effects of Asian Dust and Pollution
Magazine article from: Bulletin of the American Meteorological Society; 3/1/2004; ; 700+ words ; ...biomass burning, and mineral dust outflows produce an extraordinarily...carbon (BC or soot), mineral dust, and water. Yet there are...optical properties of Asian dust and pollution aerosols, especially...of the regional climatic and atmospheric chemical effects of a continental...
Studies conducted at C. Hoffmann et al on atmospheric environment recently published.
Newspaper article from: China Weekly News; 1/13/2009; 632 words ; ...types of increased atmospheric dust concentration could...of some strong dust storms, the dust...deposition rates for dust particles greater...Inner Mongolia. Atmospheric Environment, 2008...for the journal Atmospheric Environment is...
New data from Xi'an Jiao Tong University illuminate research in atmospheric science.
Newspaper article from: China Weekly News; 12/9/2008; 700+ words ; ...an, China, near Asian dust source regions in spring 2002...source regions, OC and EC in atmospheric dust were controlled by local...their study in Advances in Atmospheric Sciences (Chemical Characteristics...an in China. Advances in Atmospheric Sciences, 2008;25(5...
Detection of important atmospheric and surface features by employing principal component image transformation of GOES imagery
Magazine article from: Journal of Applied Meteorology; 5/1/2003; ; 700+ words ; ABSTRACT The detection of dust, fire hot spots, and smoke...Features used as examples include atmospheric dust as well as forest and...conclusions of this study are 1) atmospheric and surface features are more...with the analysis of various atmospheric and surface features from...
Researchers from University of California describe findings in atmospheric physics.
Newspaper article from: Physics Week; 7/7/2009; 700+ words ; ...the United States, "Atmospheric mineral dust particles can alter...of calcium mineral dust particles. Atmospheric...publisher of the journal Atmospheric Chemistry and Physics...Chemicals, Chemistry, Atmospheric Science, University...
Studies from China University provide new data on atmospheric physics.(Report)
Newspaper article from: Physics Week; 5/12/2009; 700+ words ; ...research published in the journal Atmospheric Chemistry and Physics...CCN) activity of mineral dust particles in the atmosphere...episodes were involved in atmospheric hetero-geneous reactions...colleagues published their study in Atmospheric Chemistry and Physics (Observation...

Related entries from encyclopedias, dictionaries, and thesauruses

atmospheric dust
Book article from: The Columbia Encyclopedia, Sixth Edition atmospheric dust minute particles slowly settling or suspended...varying amounts in all air. There is least dust at high levels over the ocean and most...problem (see air pollution ). Sources of atmospheric dust are winds blowing over dry earth...
dust
Book article from: The Oxford Companion to the Earth ...very strong turbulent winds. Atmospheric dust originates from several...and outer space (cosmic dust), but wind deflation of particles...most significant sources of dust are arid and semi-arid regions...individual source regions for dusts. They produce dust plumes which extend ...
Dust Storms
Book article from: World of Earth Science Dust storms Dust storms are windstorms that severely blow dust clouds across a large area in arid or semi-arid regions...storms are different from dust devils, which are small atmospheric dust-filled vortices created by differences in surface...
atmospheric extinction
Book article from: A Dictionary of Astronomy atmospheric extinction The loss of starlight...water vapour. Particles of dust and industrial pollutants...extinction by Mie scattering . Atmospheric extinction is proportional to the airmass and the atmospheric pressure. At sea level and...
atmospheric pollution
Book article from: A Dictionary of Earth Sciences atmospheric pollution Solid and gaseous contaminants in the atmosphere which occur as dust, smoke, or sulphur dioxide and other gases, particularly from the combustion of fossil fuels and certain industrial processes...

Find thousands of answers for hundreds of subjects at Smart QandA .

All answers verified by trusted sources at Encyclopedia.com

Try Smart QandA now!

For students and teachers!

Encyclopedia.com provides students and teachers facts, information, and biographies from verified, citable sources, including:

Encyclopedia.com provides students and teachers facts, information, and biographies from verified, citable sources, including: