# Chinese calendar

Replica of Qing dynasty globe incorporating both Chinese and Western astronomical observations

The Chinese calendar is lunisolar, incorporating elements of a lunar calendar with those of a solar calendar. It has been in continual use in China for almost 4000 years. The calendar was important in ancient China both as a guide for agricultural activities and because regularity in the yearly cycle was a sign of a well-governed empire whose ruler was supported by the Mandate of Heaven. Each year the emperor issued a calendar prepared by a board of astronomers. In the ancient Chinese lunar calendar, each month began on the day of a new moon, with an additional day added from time to time, to catch up with "drifts" between the calendar and the actual moon cycle, and intercalary months added in an arbitrary fashion, at the end of the year. Twenty-four seasonal markers called jiéqì (節氣), which follow the solar year, were inserted in the Chinese calendar to help farmers to decide when to plant or harvest crops. Each jiéqì was named for an event that occurred during that time period on the plains of northern China, such as “the awakening of insects.” A lunar year (年, nián) is from one Chinese new year to the next. A solar year (歲, suì) is either the period between one Spring Equinox and the next or the period between two winter solstices. A lunar year is exclusively used for dates, whereas a solar year, especially that between winter solstices, is used to number the months.

After Jesuits introduced Western astronomy into China during the seventeenth century, a calendar based on the true motions of both the sun and moon, calculated with sinusoids, was published. The Republic of China officially adopted the Gregorian calendar for public purposes by beginning with January 1, 1929. In most of East Asia today, the Gregorian calendar is used for day-to-day activities, but the Chinese calendar is still used for marking traditional East Asian holidays such as the Chinese New Year (春节or “Spring Festival) and in China, the Duan Wu festival and the Mid-Autumn Festival. It is also used in astrology for choosing the most auspicious date for events such as a wedding or the opening of a building.

## The Chinese calendar

The Babylonians devised the earliest lunisolar calendar after approximately 2500 B.C.E.[1]) and the lunisolar calendar is not exclusive to China, but the lunisolar calendar is often referred to as the “Chinese calendar” because a fairly accurate version was perfected by the Chinese around 500 B.C.E.[1] and because it remained in continual use in China until the present.

In China, the traditional calendar is often referred to as "the Xia Calendar" (Traditional Chinese: 夏曆; Simplified Chinese: 夏历; pinyin: xiàlì), following a comment in the Shiji which states that under the Xia Dynasty, the year began on the second new moon after the winter solstice (under the time systems of some of the other dynasties in ancient China, the year occasionally began on the first or third new moon after winter solstice). It is also known as the "agricultural calendar" (Traditional Chinese: 農曆; Simplified Chinese: 农历; pinyin: nónglì) while the Gregorian calendar is known as the "common calendar" (Traditional Chinese: 公曆; Simplified Chinese: 公历; pinyin: gōnglì) or "Common calendar." Another name for the Chinese calendar is the "Yin Calendar" (Traditional Chinese: 陰曆; Simplified Chinese: 阴历; pinyin: yīnlì) in reference to the lunar aspect of the calendar, whereas the Gregorian calendar is the "Yang Calendar" (Traditional Chinese: 陽曆; Simplified Chinese: 阳历; pinyin: yánglì) in reference to its solar properties. The Chinese calendar was also called the "old calendar" (Traditional Chinese: 舊曆; Simplified Chinese: 旧历; pinyin: jiùlì) after the "new calendar" (Traditional Chinese: 新曆; Simplified Chinese: 新历; pinyin: xīnlì), i.e. the Gregorian calendar, was adopted as the official calendar. Since the time of Emperor Wu of Han, starting the new year on the second new moon after winter solstice remained the norm for more than two thousand years.

According to Chinese tradition, some form of the Chinese calendar has been in use for almost five millennia. Based on archaeological evidence, some form of it has been in use for three and a half millennia.

## History

The calendar was important in ancient China because it was used by farmers to regulate their agricultural activities, and because regularity in the yearly cycle was a sign of a well-governed empire in which the ruler was able to maintain harmony between Heaven and Earth. The calendar prepared each year by the emperor’s astronomers was a symbol that an emperor’s rule was sanctioned by Heaven. According to Chinese legend, in 2254 B.C.E. the Emperor Yao ordered his astronomers to define the annual cycles of changing seasons, and during the Shang dynasty a calendar was prepared annually by a board of mathematicians under the direction of a minister of the imperial government. Each new Chinese dynasty published a new official annual calendar, and publication of an unofficial calendar could be regarded an act of treason.[2]

### Early history

The earliest evidence of the Chinese calendar is found on oracle bones of the Shang Dynasty (late second millennium B.C.E.), which seem to describe a lunisolar year of twelve months, with a possible intercalary thirteenth, or even fourteenth, added empirically to prevent calendar drift. The Sexagenary cycle for recording days was already in use. Tradition holds that, in that era, the year began on the first new moon after the winter solstice.

Early Eastern Zhou texts, such as the Spring and Autumn Annals, provide better understanding of the calendars used in the Zhou dynasty (1045 – 256 B.C.E.). One year usually had 12 months, which were alternatively 29 and 30 days long (with an additional day added from time to time, to catch up with "drifts" between the calendar and the actual moon cycle), and intercalary months were added in an arbitrary fashion, at the end of the year.

These arbitrary rules on day and month intercalation caused the calendars of each state to differ slightly at times. Thus, texts like the Annals will often state whether the calendar they use (the calendar of Lu) is in phase with the Royal calendar (used by the Zhou kings).

Although tradition holds that in the Zhou Dynasty, the year began on the new moon which preceded the winter solstice, the Spring and Autumn Annals seem to indicate that (in Lu at least) the Yin calendar (the calendar used in Shang Dynasty, with years beginning on the first new moon after the winter solstice) was in use until the middle of the seventh century, and that the beginning of the year was shifted back one month around 650 B.C.E..

By the beginning of the Warring States Period (5th century B.C.E. to 221 B.C.E.), progress in astronomy and mathematics allowed the creation of calculated calendars (where intercalary months and days are set by a rule, and not arbitrarily). The sìfēn 四分 (quarter remainder) calendar, which began about 484 B.C.E., was the first calculated Chinese calendar, so named because it used a solar year of 365¼ days (same as the 1st century B.C.E. Julian Calendar of Rome), along with a 19-year (235-month) Rule Cycle, known in the West as the Metonic cycle.[3] The year began on the new moon preceding the winter solstice, and intercalary months were inserted at the end of the year. By the end of the Warring States period, Chinese astronomers had created a catalog with 1,464 entries on the stars and their positions in the sky. Over a period of 2000 years beginning around 400 B.C.E., the calendar was revised more than 40 times, and another 50 unsuccessful attempts were made. [2]

In 256 B.C.E., as the last Zhou king ceded his territory to Qin, a new calendar (the Qin calendar) began to be used. It followed the same principles as the Sifen calendar, except the year began one month before (the second new moon before the winter solstice, which now fell in the second month of the year). The Qin calendar was used during the Qin dynasty, and in the beginning of the Western Han dynasty.

### Taichu calendar

The Emperor Wu of the Western Han dynasty (206 B.C.E. – 9 C.E.) introduced reforms that have governed the Chinese calendar ever since. His Tàichū 太初 (Grand Inception) calendar of 104 B.C.E. had a year with the winter solstice in the eleventh month and designated as intercalary any calendar month (a month of 29 or 30 whole days) during which the sun does not pass a principal term (that is, remained within the same sign of the zodiac throughout). Because the sun's mean motion was used to calculate the jiéqì (Traditional Chinese: 節氣; Simplified Chinese: 节气) (or seasonal markings) until 1645, this intercalary month was equally likely to occur after any month of the year. The conjunction of the sun and moon (the astronomical new moon) was calculated using the mean motions of both the sun and moon until 619, the second year of the Tang Dynasty, when chronologists began to use true motions modeled using two offset opposing parabolas (with small linear and cubic components). Unfortunately, the parabolas did not meet smoothly at the mean motion, but met with a discontinuity or jump.

The Taichu Calendar of 104 B.C.E. set the tropical year at 365 $\tfrac{385}{1539}$ days and the lunar month at 29 $\tfrac{43}{81}$ days.[3]

### True sun and moon

Portrait of Jesuit astronomer Johann Adam Schall

Western astronomy was introduced into China during the seventeenth century by the Jesuits. In 1611, the Chinese Ministry of Rites recommended that the calendar be reformed and the imperial government commissioned a group of Jesuits to serve in the Board of Astronomy.Cite error: Closing </ref> missing for <ref> tag. Using the old Beijing time zone, the New Moon occurred at 23:53 on the 2nd, so the eighth month began on a different day in the calendars. Thus people in Hong Kong (using the traditional calendar) celebrated the Festival on September 16, but those in the mainland celebrated on September 17.[4]

## Calendar rules

The following rules outline the Chinese calendar since c.104 B.C.E. Note that the rules allow either mean or true motions of the Sun and Moon to be used, depending on the historical period.

1. The months are lunar months. This means the first day of each month beginning at midnight is the day of the astronomical new moon. (Note, however, that a "day" in the Chinese calendar begins at 11 P.M. and not at midnight.)
2. Each year has 12 regular months, which are numbered in sequence (1 to 12) and have alternative names. Every second or third year has an intercalary month (Traditional Chinese: 閏月; Simplified Chinese: 闰月; pinyin: rùnyuè), which may come after any regular month. It has the same number as the preceding regular month, but is designated intercalary.
3. Every other jiéqì of the Chinese solar year is equivalent to an entry of the sun into a sign of the tropical zodiac (a principal term or cusp).
4. The sun always passes the winter solstice (enters Capricorn) during month 11.
5. If there are 12 months between two successive occurrences of month 11, at least one of these 12 months must be a month during which the sun remains within the same zodiac sign throughout (no principal term or cusp occurs within it). If only one such month occurs, it is designated intercalary, but if two such months occur, only the first is designated intercalary.
6. The times of the astronomical new moons and the sun entering a zodiac sign are determined in the Chinese Time Zone by the Purple Mountain Observatory (紫金山天文台, Zǐjīnshān Tiānwéntái) outside Nanjing using modern astronomical equations. Chinese Americans use Nanjing Calendar instead of defining a local one. For them, the new moon can occur on the last day of the previous month according to their local USA time. For example, a new moon occurred on May 16, 2007 by USA time, but Chinese Americans still regard May 17, 2007 as the first day of a new month. Further, they define the boundaries of the day according to a USA local time zone. Thus rule number 1 is not followed in this case.

The zodiac sign which the sun enters during the month and the ecliptic longitude of that entry point usually determine the number of a regular month. Month 1 (正月, zhēngyuè), literally means principal month. All other months are literally numbered, second month, third month, etc.

# Chinese name Long. Zodiac sign
11 十一月 shíyīyuè 270° Capricorn
12 十二月 shí'èryuè 300° Aquarius
1 正月 zhēngyuè 330° Pisces
2 二月 èryuè Aries
3 三月 sānyuè 30° Taurus
4 四月 sìyuè 60° Gemini
5 五月 wǔyuè 90° Cancer
6 六月 liùyuè 120° Leo
7 七月 qīyuè 150° Virgo
8 八月 bāyuè 180° Libra
9 九月 jiǔyuè 210° Scorpius
10 十月 shíyuè 240° Sagittarius

Some believe the above correspondence to be always true, but there are exceptions, which, for example, prevent Chinese New Year from always being the second new moon after the winter solstice, or that cause the holiday to occur after the Rain Water jiéqì. An exception will occur in 2033-2034, when the winter solstice is the second solar term in the eleventh month. The next month is a no-entry month and so is intercalary, and a twelfth month follows which contains both the Aquarius and Pisces solar terms (deep cold and rain water). The Year of the Tiger thus begins on the third new moon following the winter solstice, and also occurs after the Pisces (rain water) jieqi, on February 19.

Another occurrence was in 1984-1985, after the sun had entered both Capricorn at 270° and Aquarius at 300° in month 11, and then entered Pisces at 330° during the next month, which should have caused it to be month 1. The sun did not enter any sign during the next month. In order to keep the winter solstice in month 11, the month which should have been month 1 became month 12, and the month thereafter became month 1, causing Chinese New Year to occur on February 20, 1985 after the sun had already passed into Pisces at 330° during the previous month, rather than during the month beginning on that day.

On those occasions when a dual-entry month does occur, it always occurs somewhere between two months that do not have any entry (non-entry months). It usually occurs alone and either includes the winter solstice or is nearby; placing the winter solstice in month 11 (rule 4) decides which of the two non-entry months becomes the intercalary month. In 1984-1985, the month immediately before the dual-entry month 11 was a non-entry month which was designated as an intercalary month 10. All months from the dual-entry month to the non-entry month that is not to be intercalary are sequentially numbered with the nearby regular months (rule 2). The last phrase of rule 5, choosing the first of two non-entry months between months 11, has not been required since the last calendar reform, and will not be necessary until the 2033-2034 occasion, when two dual-entry months will be interspersed among three non-entry months, two of which will be on one side of month 11. The leap eleventh month produced is a very rare occasion.[5]

Exceptions such as these are rare. Fully 96.6 percent of all months contain only one entry into a zodiacal sign (have one principal term or cusp), all obeying the numbering rules of the jiéqì table, and 3.0 percent of all months are intercalary months (always non-entry months between principal terms or cusps). Only 0.4 percent of all months either are dual-entry months (have two principal terms or cusps) or are neighboring months that are renumbered.

This situation only arose after the 1645 reform, when it became necessary to fix one month to always contain its principal term and allow any other to occasionally not contain its principal term. Month 11 was chosen, because its principal term (the winter solstice) forms the start of the Chinese Solar year (the sui).

The Chinese lunar calendar and the Gregorian Calendar often synchronize every 19 years (Metonic cycle). Most Chinese people notice that their Chinese and Western birthdays fall on the same day on their 19th and 38th birthdays and so on. However, a 19-year cycle with a certain set of intercalary months is only an approximation, so an almost identical pattern of intercalary months in subsequent cycles will eventually change after some multiple of 19 years to a quite different 19-year cycle.

The Chinese zodiac (see Nomenclature and Twelve Animals sections) is only used in naming years—it is not used in the actual calculation of the calendar. In fact, the Chinese have a very different constellation system.

The 12 months are closely connected with agriculture, so they are alternatively named after plants:

1. Primens (first month) 正月: Latin "]]primus mensis.]]"
2. Apricomens (apricot month) 杏月: apricot blossoms.
3. Peacimens (peach month) 桃月: peach blossoms.
4. Plumens (plum month) 梅月: plum ripens.
5. Guavamens (guava month) 榴月: pomegranate blossoms.
6. Lotumens (lotus month) 荷月: lotus blossoms.
7. Orchimens (orchid month) 蘭月: orchid blossoms.
8. Osmanthumens (osmanthus month) 桂月: osmanthus blossoms.
9. Chrysanthemens (chrysanthemum month) 菊月: chrysanthemum blossoms.
10. Benimens (good month) 良月: good month.
11. Hiemens (hiemal month) 冬月: hiemal month.
12. Lamens (last month) 臘月: last month.

## Year markings

### Regnal years

Traditional Chinese years were not continuously numbered in the way that the B.C.E./C.E. system is. Commonly, years were officially counted from the start of the reign of particular king or emperor (regnal year). This system began in 841 B.C.E. during the Zhou Dynasty. Prior to this, years were not marked at all, and historical events cannot be dated exactly.

In 841 B.C.E., the Li King Hu of Zhou (周厲王胡) was ousted by a civilian uprising (國人暴動), and the country was governed for the next 14 years by a council of senior ministers, a period known as the Regency (共和行政). In this period, years were marked as First (second, third, etc.) Year of the Regency.

Subsequently, years were marked as regnal years; for example, the year 825 B.C.E. was marked as the 3rd Year of the Xuan King Jing of Zhou (周宣王三年). This system was used until early in the Han Dynasty, when the Wen Emperor of Han (漢文帝劉恒) instituted regnal names. After this, most emperors used one or more regnal names to mark their reign. An emperor would institute a new name upon accession to the throne, and then change to new names to mark significant events, or to end a perceived cycle of bad luck. During the Ming Dynasty, however, each emperor typically used only one regnal name for his reign. During the Qing dynasty, each emperor used only one regnal name for his reign.

This system continued until the Republic of China, which counted years as Years of the Republic, beginning in 1912. Thus, 1912 is the 1st Year of the Republic, and 1949 the 38th. This system is still used for official purposes in Taiwan. For the rest of China, in 1949 the People's Republic of China chose to use the Common Era system (equivalently, B.C.E./C.E. system), in line with international standards.

### The stem-branch cycle

The other system by which years are marked historically in China is the stem-branch or sexagenary cycle. This system is based on two forms of counting: a cycle of ten Heavenly Stems and a cycle of 12 Earthly Branches. Each year is named by a pair of one stem and one branch called a Stem-Branch (干支, gānzhī). The Heavenly Stems are associated with Yin Yang and the Five Elements. Recent 10-year periods began in 1984, 1994, and 2004. The Earthly Branches are associated with the 12 signs of the Zodiac. Each Earthly Branch is also associated with an animal, collectively known as the Twelve Animals. Recent 12-year periods began in 1984, 1996 and 2008.

Within the Heavenly Stems system, the year is advanced by one Stem per year, cycling back to year one after the last year (year ten). Similarly the Earthly Branches system advances by one Branch per year, returning to year one after the twelfth year. Since the numbers 10 (Heavenly Stems) and 12 (Earthly Branches) have a common factor of 2, only 1/2 of the 120 possible stem-branch combinations actually occur. The resulting 60-year (or sexagesimal) cycle takes the name jiǎzǐ (甲子) after the first year in the cycle, being the Heavenly Stem of "jiǎ" and Earthly Branch of "zǐ." The term "jiǎzǐ" is used figuratively to mean "a full lifespan;" one who has lived more than a jiǎzǐ is obviously blessed. (Compare the Biblical "three-score years and ten.")

At first, this system was used to mark days, not years. The earliest evidence of this was found on oracle bones from the Shang Dynasty dated c.1350 B.C.E. This system of date marking continues to this day, and can still be found on Chinese calendars. Although a stem-branch cannot be used to deduce the actual day of a historical event, it can assist in converting Chinese dates to other calendars more accurately.

Around the Han Dynasty, the stem-branch cycle also began to be used to mark years. The 60-year system cycles continuously, and determines the animal or sign under which a person is born (see Chinese Zodiac). These cycles were not named, and were used in conjunction with regnal names declared by the Emperor. For example: 康熙壬寅 (Kāngxī rényín) (1662 C.E.) is the first 壬寅 (rényín) year during the reign of 康熙 (Kāngxī), regnal name of an emperor of the Qing Dynasty

The months and hours can also be denoted using Heavenly Stems and Earthly Branches, though they are commonly addressed using Chinese numerals instead. In Chinese astrology, four Stem-Branch pairs form the Eight Characters (八字, bāzì).

### Continuously-numbered years

There is no universally agreed upon "epoch" or starting point for the Chinese calendar. Tradition holds that the calendar was invented by Emperor Huang-di (黄帝) in the 61st year of his reign in what is now known under the proleptic Gregorian calendar as 2637 B.C.E. Many have used this date as the epoch, the first year of the first 60-year (sexagesimal) cycle, of the Chinese calendar, but others have used the date of the beginning of his reign in 2697 B.C.E. as the epoch. Since these dates are exactly 60 years apart, it does not matter which is used to determine the stem/branch sequence or the astrological sign for any succeeding year. That is, 2006 is a bingxu year and the "Year of the Dog" regardless of whether years are counted from 2637 B.C.E. or 2697 B.C.E..

The imposition of a continuous numbering system on the Chinese calendar was of interest mostly to Jesuit missionaries and other Westerners who assumed that calendars obviously had to be continuous. In the early twentieth century, as part of a campaign to delegitimize the Qing Dynasty, some Chinese Republicans began to advocate widespread use of continuously numbered years, so that year markings would be independent of the Emperor's regnal name. When Sun Yat-sen became the provisional president of the Republic of China, he sent telegrams to leaders of all provinces and announced the 13th day of 11th Month of the 4609th year of the Yellow Emperor's reign (corresponding to January 1st, 1912) to be the 1st year of the Republic of China. His choice was adopted by many overseas Chinese communities outside Southeast Asia such as San Francisco's Chinatown.

### Correspondence between systems

This table shows the stem/branch year names, correspondences to the Western (Gregorian) calendar, and other related information for the decade from 1998 to 2008.[6] (These years are all part of the 79th sexagenary cycle, or the 78th if an epoch of 2637 B.C.E. is accepted.) Or see this larger table of the full 60-year cycle.

Jiǎzǐ (甲子) sequence Stem/ branch Gānzhī (干支) Year of the... [Note 1] Continuous [Note 2] Gregorian [Note 3] New Year's Day (chūnjié, 春節)
15 5/3 wùyín (戊寅) Earth Tiger 4695 1998 January 28
16 6/4 jǐmăo (己卯) Earth Rabbit 4696 1999 February 16
17 7/5 gēngchén (庚辰) Metal Dragon 4697 2000 February 5
18 8/6 xīnsì (辛巳) Metal Snake 4698 2001 January 24
19 9/7 rénwǔ (壬午) Water Horse 4699 2002 February 12
20 10/8 guǐwèi (癸未) Water Sheep 4700 2003 February 1
21 1/9 jiǎshēn (甲申) Wood Monkey 4701 2004 January 22
22 2/10 yǐyǒu (乙酉) Wood Rooster 4702 2005 February 9
23 3/11 bǐngxū (丙戌) Fire Dog 4703 2006 January 29
24 4/12 dīnghài (丁亥) Fire Pig 4704 2007 February 18
25 5/1 wùzǐ (戊子) Earth Rat 4705 2008 February 7
26 6/2 jǐchǒu (己丑) Earth Ox 4706 2009 January 26
27 7/3 gēngyín (庚寅) Metal Tiger 4707 2010 February 14
28 8/4 xīnmăo (辛卯) Metal Rabbit 4708 2011 February 3

Notes

1 The beginning of each zodiac year should correspond to the first day of the lunar year.

2 As discussed above, there is considerable difficulty in establishing a basis for the chronology of the continuous year numbers. The numbers listed here are too high by 60 if an epoch of 2637 B.C.E. is accepted. They may be too low by 1 if an epoch of 2698 B.C.E. is accepted. That is, according to some sources, Gregorian 2006 (Chinese 4703) could alternatively correspond to 4643, or perhaps 4704. Chinese Americans in the United States use the epoch of 2698 B.C.E. as the basis for numbering the years, and therefore Gregorian 2006 is numbered as 4704 and so forth for previous and subsequent years.

3 The correspondence between a lunisolar Chinese year and a solar Gregorian year is of course not exact. The first few months of each Gregorian year—those preceding Chinese New Year—belong to the previous Chinese year. For example, January 1 – January 28, 2006 belongs to yǐyǒu or 4702. It might be more precise to state that Gregorian 2006 corresponds to 4702–4703, or that continuous Chinese 4703 corresponds to 2006–2007.

### Solar year versus lunar year

There is a distinction between a solar year and a lunar year in the Chinese calendar because the calendar is lunisolar. A lunar year (年, nián) is from one Chinese new year to the next. A solar year (歲, suì) is either the period between one Spring Equinox and the next or the period between two winter solstices (see Jiéqì section). A lunar year is exclusively used for dates, whereas a solar year, especially that between winter solstices, is used to number the months.

## Hours of the day

Under the traditional system of hour-marking, each day is divided into 12 units (時辰). Each of these units is equivalent to two hours of international time. Each is named after one of the twelve Earthly Branches. The first unit, Hour of Zi (子時), begins at 11 P.M. of the previous day and ends at 1 A.M. Traditionally, executions of condemned prisoners occur at the midpoint of Hour of Wu (正午時), i.e., noon.

A second system subdivided the day into 100 equal parts, ke, each of which equaled 14.4 minutes or a familiar rough quarter of a standard Western hour. This was valid for centuries, making the Chinese first to apply decimal time. However, because 100 could not be divided equally into the 12 "hours," the system was changed to variously 96, 108, or 120 ke in a day. During the Qing Dynasty, the number was officially settled at 96, making each ke exactly a quarter of a Western hour. Today, ke is often used to refer to a quarter of an hour.

## Twelve animals

See Chinese Astrology
Stone carving of Chinese zodiac. Yin-yang and animals of the Chinese zodiac. Qingyanggong temple, Chengdu, Sichuan, China.

The Twelve animals (十二生肖 shí'èr shēngxiào, "twelve birth emblems" or colloquially 十二屬相 shí'èr shǔxiàng, "twelve signs of belonging") representing the twelve Earthly Branches are, in order, the rat, ox, tiger, rabbit, dragon, snake, horse, sheep (or goat), monkey, rooster, dog, and pig (or boar).

A legend explains the sequence in which the animals were assigned. Supposedly, the twelve animals fought over the precedence of the animals in the cycle of years in the calendar, so the Chinese gods held a contest to determine the order. All the animals lined up on the bank of a river and were given the task of getting to the opposite shore. Their order in the calendar would be set by the order in which the animals managed to reach the other side. The cat wondered how he would get across if he was afraid of water. At the same time, the ox wondered how he would cross with his poor eyesight. The calculating rat suggested that he and the cat jump onto the ox's back and guide him across. The ox was steady and hard-working so that he did not notice a commotion on his back. In the meanwhile, the rat sneaked up behind the unsuspecting cat and shoved him into the water. Just as the ox came ashore, the rat jumped off and finished the race first. The lazy pig came to the far shore in twelfth place. And so the rat got the first year named after him, the ox got the second year, and the pig ended up as the last year in the cycle. The cat finished too late to win any place in the calendar, and vowed to be the enemy of the rat forevermore.

## Solar term

Chinese months follow the phases of the moon. As a result, they do not accurately follow the seasons of the solar year. To assist farmers to decide when to plant or harvest crops, the drafters of the calendar put in 24 seasonal markers, which follow the solar year, and are called jiéqì 節氣. Each jiéqì was named for an event that occurred during that time period on the plains of northern China, such as “the awakening of insects.”

The term Jiéqì is usually translated as "Solar Terms" (Nodes of Weather). Each node is the instant when the sun reaches one of 24 equally spaced points along the ecliptic, including the solstices and equinoxes, positioned at 15 degree intervals. Because the calculation is solar-based, these jiéqì fall around the same date every year in solar calendars (e.g. the Gregorian Calendar), but do not form any obvious pattern in the Chinese calendar. The dates below are approximate and may vary slightly from year to year due to the intercalary rules (system of leap years) of the Gregorian calendar. Jiéqì are published each year in farmers' almanacs. Chinese New Year is usually the new moon closest to lìchūn.

In the table below, these measures are given in the standard astronomical convention of ecliptic longitude, zero degrees being positioned at the vernal equinox point. Each calendar month under the heading "M" contains the designated jiéqì called a principal term, which is an entry into a sign of the zodiac, also known as a cusp. Here term has the archaic meaning of a limit, not a duration. In Chinese astronomy, seasons are centered on the solstices and equinoxes, whereas in the standard Western definition, they begin at the solstices and equinoxes. Thus the term Beginning of Spring and the related Spring Festival fall in February, when it is still very chilly in temperate latitudes in the Northern Hemisphere.

Ecliptic
Long.
Chinese Name Gregorian
Date (approx.)
Usual
Translation
Remarks
315° 立春 lìchūn February 4 start of spring spring starts here according to the Chinese definition of a season, see also Cross-quarter day
330° 雨水 yǔshuǐ February 19 rain water starting at this point, the temperature makes rain more likely than snow
345° 啓蟄 qǐzhé
(驚蟄 jīngzhé)
March 5 awakening of insects when hibernating insects awake

15° 清明 qīngmíng April 5 clear and bright a Chinese festival where, traditionally, ancestral graves are tended
30° 穀雨 gǔyǔ or gǔyù April 20 grain rains rain helps grain grow
45° 立夏 lìxià May 6 start of summer refers to the Chinese seasonal definition
60° 小滿 xiǎomǎn May 21 grain full grains are plump
75° 芒種 mángzhòng or mángzhǒng June 6 grain in ear lit. awns (beard of grain) grow
90° 夏至 xiàzhì June 21 summer solstice lit. summer extreme (of sun's height)
105° 小暑 xiǎoshǔ July 7 minor heat when heat starts to get unbearable
120° 大暑 dàshǔ July 23 major heat the hottest time of the year
135° 立秋 lìqiū August 7 start of autumn uses the Chinese seasonal definition
150° 處暑 chùshǔ August 23 limit of heat lit. dwell in heat
165° 白露 báilù September 8 white dew condensed moisture makes dew white; a sign of autumn
180° 秋分 qiūfēn September 23 autumnal equinox lit. central divide of autumn (refers to the Chinese seasonal definition)
195° 寒露 hánlù October 8 cold dew dew starts turning into frost
210° 霜降 shuāngjiàng October 23 descent of frost appearance of frost and descent of temperature
225° 立冬 lìdōng November 7 start of winter refers to the Chinese seasonal definition
240° 小雪 xiǎoxuě November 22 minor snow snow starts falling
255° 大雪 dàxuě December 7 major snow season of snowstorms in full swing
270° 冬至 dōngzhì December 22 winter solstice lit. winter extreme (of sun's height)
285° 小寒 xiǎohán January 6 minor cold cold starts to become unbearable
300° 大寒 dàhán January 20 major cold coldest time of year

Note: The third jiéqì was originally called 啓蟄 (qǐzhé) but renamed to 驚蟄 (jīngzhé) in the era of the Emperor Jing of Han (漢景帝) to avoid writing his given name 啓 (also written as 啟, a variant of 啓).

## Holidays

The Chinese calendar year has nine main festivals, seven determined by the lunisolar calendar, and two derived from the solar agricultural calendar. (Farmers actually used a solar calendar, and its 24 terms, to determine when to plant crops, due to the inaccuracy of the lunisolar traditional calendar. However, the traditional calendar has also come to be known as the “agricultural calendar.”) The two special holidays are the Qingming Festival and the Winter Solstice Festival, falling upon the respective solar terms, at ecliptic longitudes of 15° and 270°, respectively. All other calendrical calculations use civil time in China, UTC+8.

Date English Name Chinese Name Vietnamese Name Remarks 2008 2009 2010 2011 2012
month 1
day 1
Chinese New Year (Spring Festival) 春節
chūnjié
Tết Nguyên Đán Family gathering and festivities for 3–15 days Feb 7 Jan 26 Feb 14 Feb 3 Jan 23
month 1
day 15
Lantern Festival 元宵節
yuánxiāojié
Tết Thượng Nguyên Tangyuan eating
and lanterns
Feb 21 Feb 9 Feb 28 Feb 17 Feb 6
Apr 4
or 5
Qingming Festival (Clear and Bright) 清明節
qīngmíngjié
Tết Thanh Minh Tomb sweeping Apr 4 Apr 4 Apr 5 Apr 5 Apr 4
month 5
day 5
Dragon Boat Festival 端午節
duānwǔjié
Tết Đoan Ngọ Dragon boat racing
and zongzi eating
Jun 8 May 28 Jun 16 Jun 6 Jun 23
month 7
day 7
Night of Sevens 七夕
qīxī
Ngày mưa Ngâu For lovers, like Valentine's Day Aug 7 Aug 26 Aug 16 Aug 6 Aug 23
month 7
day 15
Ghost Festival (Spirit Festival) 中元節
zhōngyuánjié
Tết Trung Nguyên Offer tributes and respect to the deceased Aug 15 Sep 3 Aug 24 Aug 14 Aug 31
month 8
day 15
Mid-Autumn Festival (Moon Festival)[7] 中秋節
zhōngqiūjié
Tết Trung Thu Family gathering and moon cake eating Sep 14 Oct 3 Sep 22 Sep 12 Sep 30
month 9
day 9
Double Ninth Festival (Double Yang) 重陽節
chóngyángjié
Tết Trùng Cửu Mountain climbing
and flower shows
Oct 7 Oct 26 Oct 16 Oct 5 Oct 23
month 10
day 15
Xia Yuan Festival 下元節
xiàyuánjié
Tết Hạ Nguyên Pray for a peaceful year to the Water God Nov 12 Dec 1 Oct 16 Nov 10 Nov 28
Dec 21 or 22 Winter Solstice Festival 冬至
dōngzhì
Family gathering Dec 21 Dec 21 Dec 22 Dec 22 Dec 21
month 12
day 23
Kitchen God Festival 謝灶
xièzào
Tết Táo Quân Worshipping the kitchen god with thanks Jan 31 Jan 19 Feb 7 Jan 27 Jan 17

## Purpose of the intercalary months

Most people, upon using or studying the Chinese calendar, are perplexed by the intercalary month because of its seemingly unpredictable nature. As mentioned above, the intercalary month refers to additional months added to the calendar in some years to correct for its deviation from the astronomical year, a function similar to that of the extra day in February in leap years.

The complex astronomical knowledge required to calculate if and when an intercalary month needs to be inserted makes it a mystery to most people. This has led to a superstition that intercalary months in certain times of the year bring bad luck.

The main purpose of the intercalary month is to correct for deviations of the calendrical year from the astronomical year. Because the Chinese calendar is mainly a lunar calendar, its standard year is 354 days, whereas the astronomical year is approximately 365¼ days. Without the intercalary month, this deviation would build up over time, and the Spring festival, for example, would no longer fall in Spring. Thus, the intercalary month serves a valuable purpose in ensuring that the year in the Chinese calendar remains approximately in line with the astronomical year.

The intercalary month is inserted whenever the Chinese calendar moves too far from the stage of progression of the Earth in its orbit. Thus, for example, if the beginning of a certain month in the Chinese calendar deviates by a certain number of days from its equivalent in a solar calendar, an intercalary month needs to be inserted.

The practical benefit of this system is that the calendar is able to synchronize approximately with the solar cycle, while at the same time retaining months that roughly correspond with lunar cycles. This is the reason for the term lunisolar calendar. The lunisolar calendar is important because many traditional festivals correspond to significant events in the moon's cycle. For example, the mid-autumn festival is always on a day of the full moon.

## The relevance of the calendar today

In recent years, some Chinese scholars have called for calendar reform because of the increasing irrelevance of the Chinese calendar in modern life and cite the example of Japan, which adopted the Gregorian calendar during the Meiji Restoration and simply shifted all traditional festivities onto an equivalent date. However, the Chinese calendar remains important as an element of cultural tradition, and for certain cultural activities. While the traditional calendar could be removed without much practical effect, its sentimental and cultural significance ensures that it will remain in use, at least for the near future.

The original practical relevance of the lunisolar calendar for date marking has largely disappeared. The Gregorian calendar is much easier to compute and more in accord with both international standards and the astronomical year. Its adoption for official purposes has meant that the traditional calendar is rarely used for date marking. It is more convenient to remember significant events such as birth dates by the Gregorian rather than the Chinese calendar. The 24 solar terms (including the solstices and equinoxes), which were important for farmers planning their agricultural activities, are more predictable by the Gregorian calendar than by the lunisolar calendar since they are based on the solar cycle. It is easier for the average Chinese farmer to organize planting and harvesting using the Gregorian calendar.

In most of East Asia today, the Gregorian calendar is used for day-to-day activities, but the Chinese calendar is still used for marking traditional East Asian holidays such as the Chinese New Year (春节or “Spring Festival,” not to be confused with Lunar New Year, which is the beginning for several lunisolar calendars), and in China, the Duan Wu festival and the Mid-Autumn Festival. Because each month follows one cycle of the moon, it is also used to determine the phases of the moon.

The traditional Chinese calendar remains culturally essential; for example, most of the traditional festivals, such as Chinese New Year and the Mid-Autumn Festival, traditionally occur at new moon or full moon. As an element of traditional culture, it is imbued with cultural and nationalistic significance. The Chinese calendar is still used in traditional Chinese households around the world to pick 'lucky dates' for important events such as weddings, funerals, and business deals. A special calendar called Huang Li (Traditional Chinese: 皇曆; Simplified Chinese: 皇历; pinyin: huánglì, "Imperial Calendar"), which contains auspicious activities, times, and directions for each day, is used for this purpose. The calendar follows the Gregorian dates but has the corresponding Chinese dates. Every date has a comprehensive listing of astrological measurements and fortune elements.

The T’ung Shu (Tong Shu), an agricultural almanac in use for more than 4000 years, is still published annually and consulted by Chinese all over the world. The front of the almanac always has an illustration of a farmer with an ox, with details of the drawing, such as the farmer’s clothing, indicating the weather predicted for that year.[2]

## Influence

Other traditional East Asian calendars are very similar, if not identical, to the Chinese calendar: the Korean calendar is identical; the Vietnamese calendar substitutes the cat for the rabbit in the Chinese zodiac; the Tibetan calendar differs slightly in animal names, and the traditional Japanese calendar uses a different method of calculation, resulting in disagreements between the calendars in some years.

The 12-year cycle, with the animal names translated into the vernacular, was adopted by the Göktürks (its use there is first attested 584), and spread subsequently among many Turkic peoples, as well as the Mongols. A similar calendar seems to have been used by the Bulgars, as attested in the Nominalia of the Bulgarian Khans and in some other documents. The main differences between the Bulgar and the Chinese calendar are a different system of calculation, and the replacement of the tiger with a wolf, and the dragon and monkey with unknown animals. Also, the Bulgar calendar is a solar calendar.[8]

### Chinese-Uighur calendar

In 1258, when both North China and the Islamic world were part of the Mongol Empire, Hulagu Khan established an observatory in Maragheh for the astronomer Nasir al-Din al-Tusi at which a few Chinese astronomers were present, resulting in the Chinese-Uighur calendar that al-Tusi describes in his Zij-i Ilkhani.[9] The 12-year cycle, including Turkish/Mongolian translations of the animal names (known as sanawat-e turki, سنوات ترکی,) remained in use for chronology, historiography, and for bureaucratic purposes in the Persian and Turkish speaking world from Asia Minor to India throughout the Medieval and Early Modern periods. In Iran it remained common in agricultural records and tax assessments until a 1925 law deprecated its use.

## Notes

1. 1.0 1.1 Scott Petullo & Stephen Petullo, Calendars, Time, & Numerology - Egyptian Roots & Mathematical Precision of Our Modern Calendar. afgen.com. Retrieved January 30, 2009.
2. 2.0 2.1 2.2 Dorothy Perkins, “Chinese Calendar.” Encyclopedia of China: the essential reference to China, its history and culture. (New York: Facts on File, 1999), 51 -52
3. 3.0 3.1 Yingke Deng. Ancient Chinese Inventions, Translated by Wang Pingxing. (Beijing: China Intercontinental Press (五洲传播出版社). 2005. ISBN 7508508378), 67
4. Helmer Aslaksen, "The Mathematics of the Chinese Calendar" Department of Mathematics, National University of Singapore, 18 Retrieved January 30, 2009.
5. See Helmer Aslaksen, Chinese calendar for details. Retrieved January 30, 2009.
6. The following link provides: Conversion of Chinese calendar dates to Western calendar dates Retrieved January 30, 2009.
7. The Mid-Autumn Festival is called the Lantern Festival in Singapore and Malaysia, the same name given to as another festival on month 1 day 15 in the Chinese homeland.
8. Перипетиите на календара, проф. Никола Николов Retrieved January 30, 2009.
9. Benno van Dalen, E.S. Kennedy, Mustafa K. Saiyid. The Chinese-Uighur Calendar in Tusi's Zij-i Ilkhani. (Zeitschrift für Geschichte der Arabisch-Islamischen Wissenschaften 11. 1997), 111-151.

## References

• Crump, Stephen. 1978. Chinese calendar. Kogarah, N.S.W.: Pub. for the Australian-China Society (N.S.W. Branch).
• Deng, Yingke. Ancient Chinese Inventions, Translated by Wang Pingxing. (Beijing: China Intercontinental Press (五洲传播出版社). 2005. ISBN 7508508378
• Gong, Rosemary. 2005. Good luck life: the essential guide to Chinese American celebrations and culture. New York, NY: HarperResource. ISBN 9780060735364
• Harvey, O. L. 1986. The Chinese calendar. Silver Spring, MD: Harvey.
• Hsüeh, Chung-san, and I. Ou-yang. 1974. Liang chíen nien Chung hsi li tui chao piao = A Sino-Western calendar for two thousand years, 1-2000 C.E. New York, NY: Krishna Press. ISBN 9780879680961
• O'Neil, W. M. 1975. Time and the calendars. Sydney: Sydney University Press. ISBN 9780424000039
• Perkins, Dorothy. “Chinese Calendar.” 51-52. Encyclopedia of China: the essential reference to China, its history and culture. New York: Facts on File. 1999. ISBN 9780816026937
• Quy, Ngo Van. 2000. The Chinese and Vietnamese calendars and chronologies. Corrimal, N.S.W.: Scientific Computing. ISBN 9780646392929
• Simon, Zoltán. 2007. Absolute dates for ancient China by astronomy: harmony between astronomy and the records solves an old enigma: ancient Chinese history and chronology. Berlin: Rhombos. ISBN 9783938807583
• Tin, Veronica Chin Hei, and Helmer Aslaksen. The mathematics of the Chinese calendar. Singapore: National University of Singapore, 1999.
• van Dalen, Benno; E.S. Kennedy, Mustafa K. Saiyid. «The Chinese-Uighur Calendar in Tusi's Zij-i Ilkhani», 111-151. in

Zeitschrift für Geschichte der Arabisch-Islamischen Wissenschaften 11. 1997.

• Wong, Eva. 1996. Feng-shui: the ancient wisdom of harmonious living for modern times. Boston: Shambhala. ISBN 9781570621000