Traditional Culture Encyclopedia - The 24 Solar Terms - Lunar leap year table
Lunar leap year table
In fact, the key to calculate the leap year table of the centenary lunar calendar is the algorithm of leap year, which is the origin of leap year. After reading the following information, I guess you will have a general understanding. The leap year in the Gregorian calendar is stipulated as follows: the earth's revolution around the sun is called the tropic year, with 365 days at 5: 48: 46. Therefore, the Gregorian calendar stipulates that there are an average year and a leap year. The average year is 365 days, which is 0.2422 days shorter than the tropic year and 0.9688 days shorter than the four-year * *, so one day is added every four years. This year, there are 366 days, which is a leap year. However, an increase of one day in four years is 0.03 12 more than that in four tropic years, and it will be 3. 12 more in 400 years. So there are three leap years missing in 400 years, that is, there are only 97 leap years in 400 years, so the average length of the Gregorian calendar year is similar to that of the tropic year. Therefore, it is stipulated that leap years must be multiples of 400 if they are integers. For example, 1900 and 2 100 are not leap years. The earth where we live always revolves around the sun. It takes 365 days for the earth to go around the sun once, 5: 48: 46 seconds, which is 365.422 days. For convenience, a year is 365 days, which is called the average year; In this way, every four years, there is almost one more day. If you add this day to February, there will be 366 days in this year, which is called leap year. Usually there are three normal years and a leap year every four years. The Gregorian calendar year is a multiple of 4, usually a leap year. According to a leap year every four years, the average annual calculation will be 0.0078 days, and it will increase by about 3 days after 400 years. So every 400 years, three leap years will be reduced. Therefore, it is stipulated that the Gregorian calendar year is a whole hundred, the leap year must be a multiple of 400, and the average year is not a multiple of 400. The earth where we live always revolves around the sun. It takes 365 days for the earth to go around the sun once, 5: 48: 46 seconds, which is 365.422 days. For convenience, a year is 365 days, which is called the average year; In this way, every four years, there is almost one more day. If you add this day to February, there will be 366 days in this year, which is called leap year. Usually there are three normal years and a leap year every four years. The Gregorian calendar year is a multiple of 4, usually a leap year. According to a leap year every four years, the average annual calculation will be 0.0078 days, and it will increase by about 3 days after 400 years. So every 400 years, three leap years will be reduced. Therefore, it is stipulated that the Gregorian calendar year is a whole hundred, the leap year must be a multiple of 400, and the average year is not a multiple of 400. That is what we usually say: leap in four years, not in a hundred years, and then jump in four hundred years.
How is the leap year of the lunar calendar determined? 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, there are 30 days for the big moon and 29 days for the small moon, and a year is 12 months * * 354 days. The lunar month has no seasonal significance, so 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 gas, and there are 12 solar terms and 12 neutral gas 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. So there is the calculation of lunar leap year: one leap in three years, two leap in five years, and seven leap in 19; The lunar calendar basically takes 19 as a cycle, corresponding to the same time in the Gregorian calendar.
(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 calculate the annual trunk 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 ground branches on the palm of your hand and calculate the annual trunk branches on the palm of your hand. First locate the ground branch on the palm of your hand (Figure 1), and then start with the ground branch position as Jiazi, which can be set to 1864, 1924, or 1984, all of which are Jiazi years. "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 years that the Gregorian calendar starts every ten days, it can be determined as needed ... >>
How to calculate the lunar leap year? It is said that our ancestors used this calendar as early as the Xia Dynasty (before17th century BC), so people also called it the Xia calendar. After liberation, it was still called the summer calendar. After 1970, it was renamed the China Lunar Calendar. As for the origin of the first place in the lunar calendar, it is probably because the country has been founded on agriculture since ancient times, so the calendar must be made for agriculture.
The lunar leap month in China is set by the "7 leap month method in 19", that is, there are 7 leap months in 19, with an average leap month every 2-3 years. Setting a leap month divides the lunar calendar into a normal year (about 354 days) and a leap year (about 384 days). A lunar year with a leap month is a lunar leap year, which is one tropic year longer than the solar calendar. On the contrary, a lunar year without a leap month is a lunar year, because its length is one tropic year shorter than the solar calendar.
Is 20 16 a leap month or a lunar calendar? Leap in August? 1998? Leap in May? 200 1? Leap in April? 2004? February leap
2006? Leap in July? 2009? Leap in May? 20 12? Leap in April? 20 14? Leap in September? 20 17? Leap in June? 2020? Leap in April? 2023? February leap
2025? Leap in June? 2028? Leap in May? 203 1? Leap in March? 2033? Leap in winter? 2036? Leap in June? 2039? Leap in May? 2042? February leap
So 20 16 is not a leap month, and 20 17 is a leap month.
How many days are there in the lunar leap year? 383 days or 384 days
How many days are there in the lunar leap year? Generally, the average lunar year is about 354 days and the leap year is about 384 days.
How many days are there in the lunar leap year? 389 days.
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