How to calculate leap month?

How did the lunar leap month come about? How to calculate leap month? Leap moon refers to a phenomenon in the lunar calendar. The lunar calendar arranges the big moon and the small moon, that is, the moon, according to the full and short moon. The length of a moon is 29.5306 days, which is the cycle of the moon's profit and loss. According to the lunar calendar, the big moon has 30 days and the small moon has 29 days, so there are 354 days in a year 12 months. Lunar months have no seasonal significance, so a year is similar to the solar calendar. Just after 17, the date of the lunar calendar will be reversed with the seasons. For example, one year's New Year is spent in the snow, and after 17, the vermicelli will be shaken to celebrate the New Year. The use of such a calendar naturally cannot meet the needs of agricultural production, so the lunar calendar in China has been in parallel with the 24 solar terms since the Qin and Han Dynasties, and the 24 solar terms are used to guide agricultural production.

Twenty-four solar terms can be divided into two groups: "solar terms" and "middle qi": the ancients regarded every 300 meridian from slight cold as a solar term; From the winter solstice, every 300 meridian is a neutral qi, and there are 12 solar terms and 12 neutral qi in a year. 12 solar terms divide a year into 12 months, and each month has a solar term and a neutral atmosphere. Solar term is the starting point of solar term month; Zhongqi is the midpoint of the festival. The traditional calendar in China does not adopt the method of day-to-day and month-to-month sequence and long-term arrangement of big month, small month, normal year and leap year, but emphasizes the calculation from year to month. The state sets up special institutions to calculate calendars.

(1) Set the date order according to the moon phase. It calculates the date and time of the conjunction of the sun and the moon one by one, and the first day of each month is the date of the conjunction; Determine the size of last month according to the number of days included in the second conjunction. If the interval between this new moon and the next one is 30 days, then this month is the big moon; If it is only once every 29 days, it is an abortion.

(2) Set the month order with neutral gas. First of all, the calendar month and leap month are distinguished by whether the calendar month is neutral or not. We know that there are 12 neutral gases in a tropical year, but it contains 365.2422 ÷ 29.5306 = 2.3682 satellites. After several calendar months of rotation, there must be a calendar month without neutral gas. Hanshu? The calendar says, "The new moon cannot be obtained, so it is called leap moon". This month without neutrality is a leap month. When the previous calendar day is a few months, it is a leap month. For example, the leap month of 1984 appears after October of the old calendar, so it is called "leap October". Leap months are calculated, not fixed in the monthly order of the year. In addition to 1 1 month,1February and the first lunar month, leap month is possible, and it is the seventh leap month in the nineteenth year.

To sum up, leap year is a phenomenon in the solar calendar, which is fixed in February, 29 days longer than the normal year; Leaping moon is a phenomenon in the lunar calendar. This is a leap month. That year, there were 13 months in the lunar calendar, and that year was called leap month year. Leap Moon is 384 years old.

First, calculate the formula of annual trunk and branches.

From the palm of your hand, you can count the annual stems and branches, and the flowers in Zhi Zi begin.

Yangzhi began on the 10th and lasted for four years.

Every other position is reversed for ten years, and the end of the year is 503.

Sixty numbers are added and subtracted one by one, and thousands of years are counted in the palm of your hand.

Calculation method: "Palm counts one year of dry branches and Zhi Zi flower roots." This method is to arrange the branches on the palm of your hand and calculate the annual branches on the palm of your hand. First, locate the ground branch on the palm of your hand (figure 1), and then take the ground branch position as the starting point of the flower, which can be set as 1864, 1924, or 1984? The year is the year of Jiazi. "Yangzhi is the beginning of ten days, and Tiangan is the end of four years." Zi, Yin, Chen, Wu, Shen and Xu in the earthly branches are all Yang branches, and they are also the beginning of every ten days. Everything is A, that is, Jia Zi, Jia Xu, Shen Jia, Wu Jia, Chen Jia and Jia Yin. The mantissa of the Gregorian calendar in these years is 4. "Every other place for ten years, 503 at the end of the year." There are ten days to dry twelve earthly branches, heavenly stems and earthly branches combination. Every time the heavenly stems are circulated, the soil branch is always connected with the next two branches (Xun Kong). The first branch left is the beginning of the later period. We start from the sub-position of the earthly branch and push back every other one, that is, from the sub-position to the tenth anniversary of JOE, and then from the tenth anniversary of JOE to Shenwei-the mantissa is four every year, and the annual interval is ten years. After the beginning of the tenth day is determined, the mantissa of the year is 4 as the starting point, and the mantissa of the calendar year is 5, 6, 8, 9, 0, 1, 2, 3 from the next branch, and then it is the beginning of the later period. According to this method, if the year of Jiazi is set to 1984, we can know that 1994 is JOE, 2004 is Shen Jia, and 20 14 is Wu Jia. After determining the number of Gregorian calendar years starting every ten days, we can push forward the trunk and branches of any year as needed. Although it is meaningful, it can push the trunks and branches of thousands of years forward.

Second, the formula for calculating months and hours.

Do it the day before the fifth day, and the first to fifth day of the month is the order. ......& gt& gt

How did the lunar leap month come about? How to calculate leap month refers to a phenomenon in the lunar calendar. The lunar calendar arranges the big moon and the small moon, that is, the moon, according to the full and short moon. The length of a moon is 29.5306 days, which is the cycle of the moon's profit and loss. According to the lunar calendar, the big moon has 30 days and the small moon has 29 days, so there are 354 days in a year 12 months. Lunar months have no seasonal significance, so this year. Just after 17, the date of the lunar calendar will be reversed with the seasons. For example, one year's New Year is spent in the snow, and after 17, the vermicelli will be shaken to celebrate the New Year. The use of such a calendar naturally cannot meet the needs of agricultural production, so the lunar calendar in China has been in parallel with the 24 solar terms since the Qin and Han Dynasties, and the 24 solar terms are used to guide agricultural production. Twenty-four solar terms can be divided into two groups: "solar terms" and "middle qi": the ancients regarded every 300 meridian from slight cold as a solar term; From the winter solstice, every 300 meridian is a neutral qi, and there are 12 solar terms and 12 neutral qi in a year. 12 solar terms divide a year into 12 months, and each month has a solar term and a neutral atmosphere. Solar term is the starting point of solar term month; Zhongqi is the midpoint of the festival. The traditional calendar in China does not adopt the method of day-to-day and month-to-month sequence and long-term arrangement of big month, small month, normal year and leap year, but emphasizes the calculation from year to month. The state sets up special institutions to calculate calendars. (1) Set the date order according to the moon phase. It calculates the date and time of the conjunction of the sun and the moon one by one, and the first day of each month is the date of the conjunction; Determine the size of last month according to the number of days included in the second conjunction. If the interval between this new moon and the next one is 30 days, then this month is the big moon; If it is only once every 29 days, it is an abortion. (2) Set the month order with neutral gas. First of all, the calendar month and leap month are distinguished by whether the calendar month is neutral or not. We know that there are 12 neutral gases in a tropical year, but it contains 365.2422 ÷ 29.5306 = 2.3682 satellites. After several calendar months of rotation, there must be a calendar month without neutral gas. Hanshu? The calendar says, "The new moon cannot be obtained, so it is called leap moon". This month without neutrality is a leap month. When the previous calendar day is a few months, it is a leap month. For example, the leap month of 1984 appears after October of the old calendar, so it is called "leap October". Leap months are calculated, not fixed in the monthly order of the year. In addition to 1 1 month,1February and the first lunar month, leap month is possible, and it is the seventh leap month in the nineteenth year. To sum up, leap year is a phenomenon in the solar calendar, which is fixed in February, 29 days longer than the normal year; Leaping moon is a phenomenon in the lunar calendar. This is a leap month. That year, there were 13 months in the lunar calendar, and that year was called leap month year. Leap Moon is 384 years old. First, calculate the annual trunk and branch formulas. Zhi Zi spent a lot of money on palm counting trunks and branches every year. Yangzhi began on the 10th and lasted for four years. Every other position is reversed for ten years, and the end of the year is 503. Sixty numbers are added and subtracted one by one, and thousands of years are counted in the palm of your hand. Calculation method: "Palm counts one year of dry branches and Zhi Zi flower roots." This method is to arrange the branches on the palm of your hand and calculate the annual branches on the palm of your hand. First, locate the ground branch on the palm of your hand (figure 1), and then take the ground branch position as the starting point of the flower, which can be set as 1864, 1924, or 1984? The year is the year of Jiazi. "Yangzhi is the beginning of ten days, and Tiangan is the end of four years." Zi, Yin, Chen, Wu, Shen and Xu in the earthly branches are all Yang branches, and they are also the beginning of every ten days. Everything is A, that is, Jia Zi, Jia Xu, Shen Jia, Wu Jia, Chen Jia and Jia Yin. The mantissa of the Gregorian calendar in these years is 4. "Every other place for ten years, 503 at the end of the year." There are ten days to dry twelve earthly branches, heavenly stems and earthly branches combination. Every time the heavenly stems are circulated, the soil branch is always connected with the next two branches (Xun Kong). The first branch left is the beginning of the later period. We start from the sub-position of the earthly branch and push back every other one, that is, from the sub-position to the tenth anniversary of JOE, and then from the tenth anniversary of JOE to Shenwei-the mantissa is four every year, and the annual interval is ten years. After the beginning of the tenth day is determined, the mantissa of the year is 4 as the starting point, and the mantissa of the calendar year is 5, 6, 8, 9, 0, 1, 2, 3 from the next branch, and then it is the beginning of the later period. According to this method, if the year of Jiazi is set to 1984, we can know that 1994 is JOE, 2004 is Shen Jia, and 20 14 is Wu Jia. After determining the number of Gregorian calendar years starting every ten days, we can push forward the trunk and branches of any year as needed. Although it is meaningful, it can push the trunks and branches of thousands of years forward. Second, calculate the monthly and hourly dry branch formulas, mainly five days before the dry, and the monthly dry order is one to five. ......& gt& gt

How are leap years and leap months calculated? First, leap years can be divided into solar calendar and lunar calendar.

The concepts of leap year in solar calendar and lunar calendar are different. The leap year we often talk about is actually the leap year of the Gregorian calendar.

A year with a leap day in the solar calendar is called a leap year.

A year with a leap month in the lunar calendar is called a leap year.

The leap years of the solar calendar and the lunar calendar do not coincide. For example, the lunar calendar 1995 and 200 1 are leap years, but the solar calendar is not. In 2000, the solar calendar was a leap year, but the lunar calendar was not. The following is a comparison of 1982-2042.

Second, the judgment of leap year in Gregorian calendar

Common sense is that every four years is a leap year, and a year divisible by four is a leap year. Actually, it's not. Which years are leap years? How to judge leap year?

In the Gregorian calendar year, a year with leap days is called leap year, which is generally 365 days and 366 days. Because the earth's cycle around the sun is 365 days, 5 hours, 48 minutes and 46 seconds (365,438+09 days), which is the tropic year, the Gregorian calendar sets a year as 365 days. The remaining time is about four years, plus it is fixed in February, so there are 365 days in a normal year, 28 days in February, 366 days in a leap year and 29 days in February. There are 97 leap years every 400 years.

The usual calculation method of leap year: the number of years in the calendar year can be divisible by 4, which is a leap year; But the year divisible by 4 is not necessarily a leap year, such as 1700, 1900, it is not a leap year. At the turn of the century, the year that can be divisible by 100 but not by 400 is the average year; Leap years can be divisible by 100 or 400. For example, 2000 is a leap year, while 1000 and 3000 are not. Here is a leap year calculation formula, you can have a look if you are interested.

Third, the calculation of lunar leap month.

A year with a leap month in the lunar calendar is called a leap month year, but now it is also customarily called a leap year (so it is easily confused with a leap year in the Gregorian calendar). The general year is 12 months, 354 or 355 days, and the leap year is 13 months, 383 or 384 days.

There is no thirteenth month in the lunar calendar. According to the calendar rules, leap months are repeated from February to the same month after 10, and the repeated months are leap months. For example, the leap month after April is called leap April.

The law of lunar leap year is one leap in three years, two leap in five years and seven leap in 19. According to the laws of the lunar calendar, it is mainly determined according to the coincidence with the 24 solar terms of the lunar calendar. Usually, a month with only one solar term (usually a small month) is set as a leap month to make up for it. The number of leap months in the lunar calendar is 29 or 30 days, just like normal months.

The lunar calendar basically takes 19 as a cycle, corresponding to the same time in the Gregorian calendar. For example, in the Gregorian calendar, May 27th, 2006, 5438+0, May 27th 1982 and May 27th 1963 are the fifth day of leap April.

How to calculate leap month is a way to set leap in calendar. In Asia (especially in China), leap month refers to one month added every leap year in the lunar calendar (in order to coordinate the contradiction between the tropic year and the lunar year and prevent the lunar year from being out of touch with the tropic year and the four seasons, 1 leap and 19 leap are set every two to three years). Sometimes, a leap month also refers to a month that includes a leap day in a leap year (especially in February of a leap year in the Gregorian calendar). A leap month is an additional month in every leap year. In the lunar calendar, the length of the first lunar month (29.5306 days) is the average of one month, which is 65438+February in the whole year, which is about 10 and 2 1 hour different from the tropic year (365.2422 days), so it is leap in turn, one month in three years, two months in five years and seven months in nineteen years. A leap month is called "leap month" after a certain month. For example, the last leap month in 2009 was May (June 23rd, 2009-July 2nd, 20091), and the upcoming leap month of 20 12 was April (20 12). What we usually call "leap year" is actually an approximation. Then there are 365 days in a year, which is O.2422 days different from the actual year, so four years later, it is nearly one day less than the actual year. In order to make up for this difference, the calendar stipulates that four years is a leap year, that is, a year divisible by four is a leap year, and additionally stipulates that every century year (a year with two zeros at the end) must be divisible by 400 to be a leap year. For example, 1996 is a leap year, and 2000 is also a leap year, but 1700 is not. The leap year in the solar calendar has 29 days in February, the leap day is February 29 and the leap year in the solar calendar has 366 days. In other words, February in a leap year in the solar calendar is not called leap February, and leap months are unique to the lunar calendar. Now let's talk about "leap month". Leap moon refers to a phenomenon in the lunar calendar. The lunar calendar arranges the big moon and the small moon, that is, the moon, according to the full and short moon. The length of a moon is 29.5306 days, which is the cycle of the moon's profit and loss. According to the lunar calendar, the big moon has 30 days and the small moon has 29 days, so there are 354 days in a year 12 months. The lunar months have no seasonal significance, so twelve moons are formed. The length is 29.5306× 12=354.3672 days, which is less than 365.2422 days in tropical years 1 1 day (that is, near 1 day) and less than 0.9 1 day (near/kloc) per month. The difference between solar calendar year and year is 1 1 day. Only after 17 will the date of the lunar calendar be reversed in the same season. For example, a year's New Year is spent in the snow, and a new year comes after 17. The use of such a calendar naturally cannot meet the needs of agricultural production, so the lunar calendar in China has been in parallel with the 24 solar terms since the Qin and Han Dynasties, and the 24 solar terms are used to guide agricultural production. Many people misunderstand the lunar calendar in China and often confuse it with the lunar calendar. There are three calendars in the world: one is the solar calendar, in which the time for the earth to go around the sun is one year, and the number of months and days in a year can be specified artificially; One is the lunar calendar, in which the time for the moon to circle the earth is one month, and only a few months in a year can be designated artificially; The third is the yin-yang calendar, that is, the average time for the moon to orbit the earth is January, but by setting leap months, the average number of days in a year is equal to the average time for the earth to orbit the sun, such as the lunar calendar and Tibetan calendar in China. Therefore, the lunar calendar in China is not a lunar calendar, but a combination of yin and yang. The lunar and solar elements in the lunar calendar have their own uses. The lunar calendar can indicate the moon's profit and loss, and can also predict the tides. The solar calendar is more useful. Twenty-four solar terms are a great invention in ancient China. It shows the position of the earth in orbit, reflects the annual apparent movement of the sun, and is most suitable for guiding agricultural activities. Therefore, the traditional lunar calendar in China is called the lunar calendar. Therefore, the lunar calendar is different from the lunar calendar, and it is not appropriate to call the lunar calendar the lunar calendar. The sun and the moon are calendars that people hang in the sky. Year after year, the earth revolves around the sun, and everything on the earth lives and multiplies in the cycle of the sun and the moon. If the lunar year consists of thirteen lunar months, the length is 29.5306× 13=383.8978 days, which is more than the tropic year 18 days. If the calendar is made according to the above regulations, there will be a strange phenomenon that the weather is inconsistent with the calendar and the time order is disordered and reversed. This is the contradiction. In order to overcome this shortcoming, we ... >>

How to calculate the lunar leap month? How many years is a leap year? Calculation of leap month in lunar leap year, three-year leap, five-year leap, 19 leap; The lunar calendar basically takes 19 as a cycle, corresponding to the same time in the Gregorian calendar. For example, in the Gregorian calendar, May 27th, 2006, 5438+0, May 27th 1982 and May 27th 1963 are the fifth day of leap April. Gregorian calendar 1982-2042 and lunar leap month comparison table Gregorian calendar leap month (first day) main branch year1May 23, 982 leap year in April1984 65438+1October 23 leap year in October/kloc-. June 23rd, Leap May, Big Wu Geng Year1April 22nd, 993, Leap March, Big Gui You Year1September 25th, 995, Leap August, Big Yi Hai Year1June 24th, 998, Leap May, Small Wuyin Year, 2006, 5438+May 23rd, Leap April, Big Xin Si Year. March 24th, leap July, big C E year, June 23rd, 2009, leap May, ugly year 201May 2nd1leap April, small non-Chinese year 2014th/October 24th, leap September, Xiao Wu Jia nian 2065438+July 2007. March 22nd Leap February Big Guimao Year July 25th, 2025 Leap June Big Keith Year June 23rd, 2028 Leap May Big Wushen Year April 22nd Leap March Big Xinhai Year August 25th Leap July Big Guichou Year July 23rd, 2036 Leap June Xiao Chen Bing Year June 22nd, 2039 Leap May Big Keith Year.

How to calculate and know which year there is a leap month and which month is a leap year in the western calendar

A year with leap days in the solar calendar is called a leap year, and vice versa, with 365 days in a normal year and 366 days in a leap year. In the Gregorian calendar year, February in a normal year is 28 days, and February in a leap year is 29 days. February 29th of a flat month in a leap year is a leap day.

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Reasons for increasing leap days

At present, the Gregorian calendar takes the tropical year as the benchmark, and a tropical year is about 365.4220 days. Because the average calendar year is only 365 days, it will accumulate 0.24220*4=0.9688 days after four years, which is about equal to one day, so a leap day is added every four years to offset this 0.9688 days.

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Calculation method of leap year:

In the Gregorian calendar, most years divisible by 4 are leap years; A year divisible by 100 but not by 400 is not a leap year; Not a leap year divisible by 3200; For example, 1900 is a normal year, 2000 is a leap year and 3200 is not a leap year.

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Leap year in China lunar calendar

In the China lunar calendar, a year with a leap month is called a leap year. The general year is 12 months, 354 or 355 days, and the leap year is 13 months, 383 or 384 days.

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The law that leap years follow: leap every four years, not leap in a hundred years, and leap again in four hundred years.

Leap year is a year with leap day in Gregorian calendar or summer calendar, and also a year with leap month in China lunar calendar.

How did the lunar leap month come about? How to calculate leap month In the Gregorian calendar (Gregorian calendar), a year with leap days is called leap year, which is generally 365 days and 366 days. Because the earth's cycle around the sun is 365 days, 5 hours, 48 minutes and 46 seconds (365,438+09 days), which is the tropic year, the Gregorian calendar sets a year as 365 days. The remaining time is about one day in four years, plus February, so the normal year is 365 days, February is 28 days, leap year is 366 days, and February is 29 days. So every 400 years, there are 97 leap years, with one day added at the end of February and 366 days in leap years. Calculation method of leap year: the number of years in the calendar year can be divisible by four, which is a leap year; Divided by 100 but not divided by 400 is an average year; Leap years can be divisible by 100 or 400. For example, 2000 is a leap year, and 1900 is not.

In the China lunar calendar, a year with a leap month is called a leap year. The general year is 12 months, 354 or 355 days, and the leap year is 13 months, 383 or 384 days. As a kind of lunar calendar, the number of days in each month depends on the monthly loss, and the time of one year is based on 12 months. In order to close the earth's cycle around the sun, that is, the tropic year, one month is added every two to four years, and the added month is a leap month, so the leap year of the lunar calendar is 13 months.

There is no thirteenth month in the lunar calendar. According to the calendar rules, leap months are repeated from February to the same month after 10, and the repeated months are leap months. For example, the leap month after April is called leap April.

Calculation of leap month in lunar leap year, three-year leap, five-year leap, 19 leap; The lunar calendar basically takes 19 as a cycle, corresponding to the same time in the Gregorian calendar. For example, in the Gregorian calendar, May 27th, 2006, 5438+0, May 27th 1982 and May 27th 1963 are the fifth day of leap April.

The month of the leap month is inferred according to the laws of the lunar calendar, mainly according to the coincidence with the 24 solar terms of the lunar calendar;

The number of leap months in the lunar calendar is 29 or 30 days, just like normal months.

The so-called "leap" in the lunar calendar is just called leap year and leap month, and there are also leap years in the solar calendar.

Gregorian calendar 1982-2042 and lunar leap year leap month comparison table

The year of the leap month (the first day) in the Gregorian calendar month.

1May 23, 982, leap April, small non-year.

1984165438+1October 23rd, October of leap year.

1July 26, 987, leap June, big year.

1June 23, 990, leap in May, year of Dageng Wunian.

1April 22, 993 March of leap year.

1995 August 25th of leap year.

1June 24, 998 leap year may small wuyin year

200 1 leap April, Xinsi year.

March 2 1 day, 2004, was February of the Great Shen Jianian.

August 24, 2006, leap July, the year of Taepo B.

June 23, 2009, leap May, the year of great ugliness.

20 12 may 2 1 leap April, the year of Xiao renchen.

2014101October 24th, leap in September, Xiao Wu's good year.

2065438+July 23, 2007, leap June, Dading Unitary Year.

May 23, 2020, leap into April, the year of little boxer.

March 22, 2023, leap February, the year of the Great Guimao.

July 25, 2025, leap June, has been four years.

June 23, 2028, leap in May.

April 22, 20031year, leap into March, 1911.

August 25th, 2033, July of leap year.

July 23, 2036, leap June, Xiao nian.

June 22, 2039, leap in May, has not yet reached the end of the year.

March 22, 2042, leap February, a big year.

2004 is a leap year in the Gregorian calendar. February has 29 days, 28 days more than February in normal years. The ancient Egyptians and calendar experts in China during the Spring and Autumn Period calculated that a year was 365 days. In fact, the time for the earth to go around the sun (that is, a year in the solar calendar) is 365 days, 5: 48: 46. This adds 23: 15 minutes and 4 seconds in four years, which is close to one day (24 hours). Therefore, calendar experts stipulate to set up a "leap year" every four years, that is ... >; & gt

How to calculate leap month? Leap years are calculated according to the following rules: leap years should be divisible by 4 (for example, 2004 is a leap year, and 200 1 is not), but not all years divisible by 4 are leap years. In the year divisible by 100, the year divisible by 400 at the same time is a leap year (for example, 2000 is a leap year), and the year divisible by 100 but not by 400 (for example, 1800, 1900, 2/kloc) It is not accurate to say that "a year divisible by 4 is a leap year"