I Ching Algorithm: Construction of Apparent Stems and Branches – Season coordinate system and Nine Stars of the Day


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The Nine Stars of the Day starts from the first day of the Stems and Branches era, which is the day of the Jia-Rat. Like the Nine Stars of the Hour, the Nine Stars of the Day are also divided into two periods of the year. In the first six months of the year, from the Winter Solstice period, the yang qi goes up, so the Nine Stars goes forward, that is, in the increasing direction of the number of Luoshu, starting from White One - Water Star. In the last six months of the year, from the Summer Solstice period, the yin qi goes down and the Nine Stars goes backward, starting from the Burgundy Nine - Fire Star. Six months is equivalent to 180 days, ie three rounds of the Jia-Rat, so in the last six months the Nine Stars also starts from the day of the Jia-Rat.
The Nine Stars of the Day must satisfy the following requirements:
     • Going forward from Winter Solstice to the end of "Grain in ear" period and going backward from Summer Solstice until the end of Great Snow period.
     • The Nine Stars must move around continuously. For example, from 5-Yellow must go up to 6-White or go down to 4-Green throughout the year.
     • There must be a reasonable continuity when changing periods from "Grain in ear" to Summer Solstice in the year and from Great Snow at the end of this year to the Winter Solstice at the beginning of the next year.
However, the problem arises because a year has 365 days or 366 days, not even 360 days for two regions of yang and yin qi. The first day of the Winter Solstice is not the day of the Jia-Rat.
This year's Winter Solstice is the Day of the Wu-Dog, nearly a month away from the Day of the Jia-Rat. If the Nine Stars is allowed to move continuously, it is unacceptable for the two regions of yang and yin qi to be encroached on each other for about a month.
Current books also give a way to look up the Nine Stars by starting the day of the Jia-Rat according to the weather periods. For example, Summer Solstice starts the day of the Jia-Rat from 9-Burgundy, and the "Heat ends" starts the day of the Jia-Rat from 3-Blue. It is now "Autumn starts" period. On August 23, it is time to enter the "Heat ends" period. August 23 is the day of the Gui-Rabbit, starting the Jia-Rat from 3-Blue, the Nine Stars goes backwards, so the day of the Gui-Rabbit has the qi field of 9-Burgundy. One day back is the day of the Ren-Tiger, this day is still in the "Autumn starts" period, which is the period from the Summer Solstice to the end of "Autumn starts", so taking the Summer Solstice starting the day of the Jia-Rat from the 9-Burgundy, inferring the day of the Ren-Tiger is 7-Red. Ren-Tiger and Gui-Rabbit are two consecutive days, the qi field cannot jump from 7-Red to 9-Burgundy!
The reason the current calculation of the qi field is not correct is because the current Stems and Branches system cannot be used as the coordinate system of the qi field space.

CONSTRUCTION OF APPARENT STEMS AND BRANCHES – SEASON COORDINATE SYSTEM AND NINE STARS OF THE DAY
1) Immobilization of the transition qi field
While walking, if you want to go back, you have to stop first. The curve of a function goes up when the derivative is positive. Before going down to the negative derivative, it must pass through the maximum point at which the derivative is zero, where the function value is constant.
Nine Stars goes from the Winter Solstice with the 1-White qi field in the Yang qi region, after 180 days, it reaches the 9-Burgundy qi field on the last day of the "Grain in ear" period. It must keep the 9-Burgundy in order to transition to the Yin region starting from the Summer Solstice period

2) The apparent Stems and Branches system or the Fortune Stems and Branches system
Each qi field must have a place in space. To do so it must have a coordinate system to define. The apparent Stems and Branches system stipulates that the day of Winter Solstice of the year is always the day of the Jia-Rat with the 1-White qi field. Through three rounds of the Jia-Rat to the day of the Gui-Pig at the end of the "Grain in ear" with the 9-Burgundy qi field. The next days are "leap" Stems and Branchesi (usually 2 days), that is, keep the Stems and Branchesi as Gui-Pig with the 9-Burgundy qi field until the Summer Solstice starts with the day of the Jia-Rat. It is still the 9-Burgundy, then began to descend in the Yin region.
Similarly, in the Yin region, the Nine Stars goes backward after 180 steps to the day of the Gui-Pig at the end of the Great Snow period with the 1-White qi field. The day of the Gui-Pig continues to be "leap" until the end of the year.
The transition days between the two regions of yin and yang, yin qi or yang qi have all declined or are still pregnancy without much meaning, can be said to be no qi. 1-White qi field is maintained until the Winter Solstice of the following year, starting from 1-White again.

3) Apparent periods
From Winter Solstice, after a round of Jia-Rat to "Rain Water", after 2nd round of Jia-Rat to "Grain rain", then through 3rd round of Jia-Rat, "Grain in ear" ends.
From Summer Solstice, after 1st round of Jia-Rat to "Heat ends", after 2nd round of Jia-Rat to "First frost", then through 3rd round of Jia-Rat, "Great snow" ends.
But the above periods are not separated by exactly one round of Jia-Rat or 60 days. Therefore, we define the apparent periods of the "Rain Water", Grain rain, "Heat ends" and "First frost" as follows:
The apparent “Rain water” is exactly one round of Jia-Rat away from the Winter Solstice; The apparent “Grain rain” is exactly one round of Jia-Rat away from the apparent “Rain water”; The apparent “Heat ends” is exactly one round of Jia-Rat away from the Summer Solstice; The apparent “First frost” is exactly one round of Jia-Rat away from the apparent “Heat ends”.
Thus, the six periods of Winter Solstice, apparent “Rain water”, apparent “Grain rain”, Summer Solstice, apparent “Heat ends”, and apparent “First frost” all start from the Day of the Jia-Rat (apparently).
From here we can make a table to look up the Nine Stars of any day of the year.

4) Calendar of apparent Stems and Branches – Season
Before working with the Nine Stars table we need data to find the apparent Stem and Branch of a day and the apparent timelines. Below is the Calendar of apparent Stems and Branches – Season for 2021

5) The Nine Stars of the Day
The Nine Stars table of the Day is a Stems and Branches – Season coordinate system. There are 60 stems and branches of the round JIA-RAT/GUI-PIG in rows and 6 columns of the season periods of the year. All coordinates are apparent values

Today is August 21, the day after tomorrow is August 23, according to the calendar is Ding-Rabbit day. Look up the table of the Nine Stars, the day of Ding-Rabbit with the fifth column is Burgundy Nine - Fire Star

Fire dominates the center, this day the number of deaths will increase dramatically. Earth qi causes disease, but Fire generates the Earth, so Fire is the fulfillment. Families with seriously ill loved ones should prepare. The hour of fulfillment is the hour of the Rat and the hour of the Cock.

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