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BaZi

Building the Four Pillars of BaZi from birth date and time: the year pillar changes at Lập Xuân, the month pillar changes at the solar term, the day pillar follows the 60-cycle, and the hour stem is derived from the day stem

Traditional systems An old interpretive system.
Building the Four Pillars of BaZi from birth date and time: the year pillar changes at Lập Xuân, the month pillar changes at the solar term, the day pillar follows the 60-cycle, and the hour stem is derived from the day stem

TL;DR: Building the Four Pillars of BaZi (Tu Tru) has four steps: the year pillar is anchored at the Lập Xuân solar term, not the first day of Tết Nguyên Đán; the month pillar is anchored at the twelve solar terms, not the lunar month; the day pillar is counted continuously through the Lục Thập Hoa Giáp (60-cycle); and the hour stem is derived from the day stem using the Ngũ Thử Độn mnemonic. Schools still differ on the day-change marker for the Ty hour (23:00 or 00:00) and on whether to convert to true solar time by birth longitude; this site uses the 23:00 marker and clock time UTC+7, with a conversion step for people born in southern Vietnam before 1975.

What are the four pillars and why must they be built by solar terms?

Tu Tru, also called BaZi, is four pairs of can chi (heavenly stem and earthly branch) recording the year, month, day, and hour of birth. The year pillar is called nien tru, the month pillar nguyet tru, the day pillar nhat tru, and the hour pillar thoi tru. Four pillars make exactly eight characters, which is why the name BaZi exists. The book Dau So Tinh Thanh states that to obtain the four pillars one usually must consult a perpetual calendar, and for Tu Vi Dau So the method of building the four pillars is also debated by different schools in different directions.

The four pillars: four stem-branch pairs; the day stem is the Nhật chủ.
The four pillars: four stem-branch pairs; the day stem is the Nhật chủ.

What separates building the four pillars from ordinary calendar lookup is the time marker: BaZi uses neither the administrative marker nor the lunar calendar marker, but the solar term marker. The Earth's orbit around the Sun is cut by solar terms into twenty-four points, two adjacent points fifteen degrees apart, and every two terms combined form one khi month. When building the four pillars, the birth time must be determined very precisely and divided based on solar terms, not merely on the lunar calendar in the usual way.

Does the year pillar change at Lập Xuân or at the first day of Tet?

The year pillar changes at the Lập Xuân solar term, not at the first day of Tết Nguyên Đán. Folk age counting and year-pillar placement in BaZi differ fundamentally on this point.

According to some BaZi texts, the marker of the new year in terms of khi van is not the lunar transition from old year to new year, but Lập Xuân itself. Anyone born before the moment of Lập Xuân keeps the old year's pillar; anyone born after that moment has moved to the new year's pillar. This book gives an example: suppose Lập Xuân of the Đinh Hợi year falls on the 17th day of the twelfth lunar month at 3:30 a.m.; then a person born the same day at 3 a.m. still keeps the Đinh Hợi year pillar, while a person born at 4 a.m. the same day has already moved to the Mậu Tý year pillar.

The same convention holds: the lunar year is counted from the day of Lập Xuân, not from the first day of Tết Nguyên Đán, so a person born before Lập Xuân still belongs to the old lunar year's age. The consequence is that two people born a few clock hours apart, one before and one after the moment of Lập Xuân, can carry two completely different year pillars, and the entire interpretation that follows differs as well.

Does the month pillar change at the solar term or by lunar month?

The month pillar changes at the solar term, not the lunar month. Specifically, the twelve months in BaZi are marked by twelve terms, each term opening one khi month:

Khi monthOpening termEarthly branch of the month
First monthLập XuânDan
Second monthKinh TrậpMao
Third monthThanh MinhThin
Fourth monthLập HạTi
Fifth monthMang ChủngNgo
Sixth monthTiểu ThửMui
Seventh monthLập ThuThan
Eighth monthBạch LộDau
Ninth monthHàn LộTuat
Tenth monthLập ĐôngHoi
Eleventh monthĐại TuyếtTy
Twelfth monthTiểu HànSuu

The earthly branch of the month pillar is therefore fixed by the term: passing Lập Xuân moves to the Dan branch, passing Kinh Trập moves to the Mao branch, regardless of the lunar date. The stem of the month pillar is what must be derived, and the derivation relies on the stem of the year pillar.

How is the month stem derived from the year stem by Ngũ Hổ Độn?

The month stem is derived from the year stem by the Ngũ Hổ Độn mnemonic, the rule for determining the stem of the Dan month, then counting forward for the remaining months.

Ngũ Hổ Độn has five lines, each corresponding to a pair of year stems:

  • Giap or Ky year: the Dan month starts as Bính Dần.
  • At or Canh year: the Dan month starts as Mậu Dần.
  • Binh or Tan year: the Dan month starts as Canh Dần.
  • Dinh or Nham year: the Dan month starts as Nhâm Dần.
  • Mau or Quy year: the Dan month starts as Giáp Dần.

The basis of this rule is the five-element combination: Giap and Ky combine into Tho (Earth), so counting forward from Bính Dần to the Thin position gives Mậu Thìn, and Mau belongs to Tho; At and Canh combine into Kim (Metal), so counting from Mậu Dần to Thin gives Canh Thìn, and Canh belongs to Kim; Binh and Tan combine into Thuy (Water), so counting from Canh Dần to Thin gives Nhâm Thìn, and Nham belongs to Thuy. This explanation shows Ngũ Hổ Độn is not purely a mechanical count but tied to the combination relations of the heavenly stems.

Below is the month stem table derived from the year stem, built directly from the calculation core rather than typed by hand:

Year stemDanMaoThinTiNgoMuiThanDauTuatHoiTySuu
Giap, KyBinhDinhMauKyCanhTanNhamQuyGiapAtBinhDinh
At, CanhMauKyCanhTanNhamQuyGiapAtBinhDinhMauKy
Binh, TanCanhTanNhamQuyGiapAtBinhDinhMauKyCanhTan
Dinh, NhamNhamQuyGiapAtBinhDinhMauKyCanhTanNhamQuy
Mau, QuyGiapAtBinhDinhMauKyCanhTanNhamQuyGiapAt

Checking each cell of this table against the month can chi table in the Wikipedia article Sexagenary cycle, they match: the Dan month of a Giap or Ky year is Bính Dần, the Dan month of an At or Canh year is Mậu Dần, and so on through the sixty-cycle. The mnemonic "Giáp Kỷ hoan gia Giap" mentioned in Uyên Hải Tử Bình Toàn Tập belongs to the Ngũ Thử Độn rule used for hours, not months, so the two mnemonics must be clearly distinguished: Ngũ Hổ Độn for months, Ngũ Thử Độn for hours.

How is the day pillar counted continuously through the sixty-cycle?

The day pillar is counted continuously through the Lục Thập Hoa Giáp (60-cycle), independent of the year stem or month stem. The sixty-cycle is the least common multiple of the ten heavenly stems and twelve earthly branches, so pairing stems with branches in order gives sixty combinations before returning to Giáp Tý. Because ten and twelve share only the common factor two, only stem-branch pairs of the same parity can pair together, and pairs of differing parity such as Giap with Suu do not appear in the cycle. The Wikipedia article Sexagenary cycle sets out this structure clearly.

It is worth noting that the day pillar runs continuously, not interrupted at Lập Xuân or at any term. A day in BaZi is always one stem-branch combination in the sixty-cycle, and the next day is the combination immediately after. Determining the day pillar therefore requires a known base point, then counting forward or backward to the day sought.

How is the hour stem derived from the day stem by Ngũ Thử Độn?

The hour stem is derived from the day stem by the Ngũ Thử Độn mnemonic, the rule for determining the stem of the Ty hour, then counting forward for the remaining hours. The earthly branch of the hour is fixed: Ty, Suu, Dan, Mao, Thin, Ti, Ngo, Mui, Than, Dau, Tuat, Hoi, each hour two clock hours long.

Dau So Tinh Thanh records the Ngũ Thử Độn mnemonic as: "Giáp Kỷ hoan gia Giap, Ất Canh Bính tac so, Bính Tân thoi Mậu Tý, Đinh Nhâm Canh Tý cu, Mậu Quý khoi Mậu Tý". The meaning is: on a Giap or Ky day the Ty hour is Giáp Tý; on an At or Canh day the Ty hour is Bính Tý; on a Binh or Tan day the Ty hour is Mậu Tý; on a Dinh or Nham day the Ty hour is Canh Tý; on a Mau or Quy day the Ty hour is Nhâm Tý. This book also notes that within the same day, roughly 0:01 to 1:00 and roughly 23:01 to 24:00 both belong to that day's Ty hour, while from 24:01 onward is the next day's Ty hour. This is the book's view, and as the section below shows, not every school follows it.

The hour stem table derived from the day stem, built from the calculation core:

Day stemTySuuDanMaoThinTiNgoMuiThanDauTuatHoi
Giap, KyGiapAtBinhDinhMauKyCanhTanNhamQuyGiapAt
At, CanhBinhDinhMauKyCanhTanNhamQuyGiapAtBinhDinh
Binh, TanMauKyCanhTanNhamQuyGiapAtBinhDinhMauKy
Dinh, NhamCanhTanNhamQuyGiapAtBinhDinhMauKyCanhTan
Mau, QuyNhamQuyGiapAtBinhDinhMauKyCanhTanNhamQuy

Checking each cell against the hour can chi table in the Wikipedia article Sexagenary cycle, they match completely: the Ty hour of a Giap day is Giáp Tý, the Ty hour of an At day is Bính Tý, and so on. One can cross-check independently: the hour stem table above is in fact the month stem table shifted by two palaces, because both rest on the same principle of pairing stems through the cycle. This overlap is a way to self-check when programming or looking up by hand.

Does the Ty hour change the day at 23:00 or at 00:00?

This is where schools disagree. There are two understandings of the Ty hour, usually called tao Ty and van Ty.

In the tao Ty naming, the Ty hour begins at 23:00 the previous night, meaning 23:00 has already entered the new day. In the van Ty naming, the Ty hour begins at 00:00, meaning 23:00 to 24:00 still belongs to the old day, and the day changes only when the clock strikes 00:00. Dau So Tinh Thanh advocates taking 00:00 as the day-change marker, and states clearly that this differs from the method of deriving the four pillars in menh ly. Thus that book itself acknowledges that in menh ly four-pillar work a different calculation exists.

On ly so forums this question is raised quite often. A discussion on Ly So Viet Nam raises the case of a baby born at 23:02, and the respondent states that under the default time frame 23:00 to 1:00 is the next day's Ty hour, meaning 23:00 is the start of the new day, but also notes that this is speaking in terms of technical calculation and the default time frame, not that 22:59 mechanically belongs to the Hoi hour and 23:01 to the Ty hour.

For the chart builder, this is a decision that must be settled before calculating. This site's calculation core chooses the 23:00 marker: from 23:00 onward the new day is counted, so the Ty hour belongs to the next day. This choice must be remembered when comparing results with another tool using the 00:00 marker, because the same birth moment can give two different day pillars, and therefore two different charts.

Is there a conversion to true solar time by birth longitude?

This too is where schools disagree, and where the practical effect is larger than beginners usually think.

Clock time is administrative time, divided evenly by time zone. The time of the ancients was measured locally, based on the sun's shadow. Within the same time zone, two places differing in longitude have different true solar times: each degree of longitude corresponds to four minutes, so two places four and a half degrees apart in longitude have true noon moments about eighteen minutes apart, even though the clocks in both places read the same number. A discussion on Ly So Viet Nam gives the example of Nha Trang and Hà Tiên in the same administrative time zone but about eighteen minutes apart in solar time.

The consequence is that for people born near the boundary between two hours, using clock time or true solar time can lead to two different hour pillars. There is also an opinion that the term markers should likewise be converted to local time, because the moment of Lập Xuân is an astronomical event, not an administrative regulation.

This site's calculation core chooses clock time UTC+7, not converted to true solar time by birth longitude. The reason is so that programmed results are consistent and verifiable, and also because most users look up using the time written on the birth certificate. Users who want to try the true solar time method can add or subtract the minutes by longitude themselves, then rebuild the chart to compare.

How must the hour be converted for people born in southern Vietnam before 1975?

People born in southern Vietnam in the period before 1975 must convert the hour, because at that time the South used UTC+8 while the North used UTC+7. A discussion on Ly So Viet Nam records exactly this point: southern time was one hour ahead of northern time, and this was the consequence of an administrative regulation, not of nature.

That means if a document records a time in the South during that period, to build the four pillars by UTC+7 one must subtract one hour. A person born at 1 a.m. by the time on the document in the South may actually be 0:00 by UTC+7, and if falling in a boundary zone this one-hour subtraction can push the hour pillar to another branch, or even push the day pillar to another day if falling near the day-change marker.

Therefore, before building a chart for a person born in the South before 1975, one must check the marker against the Asia/Ho_Chi_Minh time zone data to determine exactly which period used which zone, then convert to UTC+7 before feeding it into the calculation core. This is a mandatory step, not to be skipped, because being one hour wrong can make both the hour pillar and the day pillar wrong.

A sample chart born close to Lập Xuân

To see clearly the effect of the Lập Xuân marker, take a case born close to this moment. Suppose the moment of Lập Xuân of a year falls at 3:30 a.m. on the 17th day of the twelfth lunar month. A person born at 3 a.m. the same day, thirty minutes before Lập Xuân, carries the old year's year pillar. A person born at 4 a.m. the same day, thirty minutes after Lập Xuân, carries the new year's year pillar. These two charts are only one clock hour apart but differ in the year pillar, and because the month stem is derived from the year stem, the month pillar may differ as well.

When built with LapBatTu, the chart of the person born before Lập Xuân gives the old year's stem-branch pair at the year pillar, and the Dan month or Suu month depending on whether the moment is still before or after the term opening the khi month. The chart of the person born after Lập Xuân gives the new year's stem-branch pair at the year pillar, and certainly the Dan month at the month pillar. This example shows why one must look up the moment of the solar term and cannot merely look at the lunar date.

After building the chart correctly, where does one read each pillar?

This article stops where the chart has been built correctly: the four stem-branch pairs have been determined by the correct four steps, with the choices about the day-change marker and time zone stated clearly. The interpretation of each pillar is outside this article's scope.

According to some BaZi texts, each pillar is tied to its own group of aspects: the year pillar is usually tied to ancestors, origins, and the living environment of early life; the month pillar represents career, parents, and the character of adulthood; the day pillar sits at the native themself, spouse, and personal upheavals; and the hour pillar represents children, late-life career, and plans and wishes. Four separate articles on the year pillar, month pillar, day pillar, and hour pillar will go into each of these parts.

It must be stressed that building the four pillars correctly is only a necessary condition. A chart by itself does not state absolute fortune or misfortune, and the same stem-branch combination can correspond to very different circumstances depending on the major cycle, annual cycle, and life context. Some BaZi texts also note that a chart that looks skewed can still achieve success if there is a resolving factor, while a balanced chart whose khi does not flow can also meet many difficulties.

In this article11 sections

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Frequently asked questions

Is the year pillar in Bát Tự (BaZi) calculated according to Lập Xuân or according to the first day of Tết Nguyên Đán?

The year pillar is calculated according to the Lập Xuân solar term. A person born before the moment of Lập Xuân belongs to the year pillar of the previous year, and a person born after that moment belongs to the year pillar of that year. The first day of Tết Nguyên Đán is the marker of the lunar calendar used in daily life, not the marker for setting the year pillar in Bát Tự.

How are the heavenly stem of the month pillar and the heavenly stem of the hour pillar derived?

The heavenly stem of the month pillar is derived from the heavenly stem of the year pillar using the Ngũ Hổ Độn mnemonic, taking the heavenly stem of the Dần month as the starting point and counting forward. The heavenly stem of the hour pillar is derived from the heavenly stem of the day pillar using the Ngũ Thử Độn mnemonic, taking the heavenly stem of the Tý hour as the starting point and counting forward. The earthly branch of the month is fixed according to the solar terms, and the earthly branch of the hour is fixed according to the two-hour blocks.

Should the Tý hour be counted from 23:00 or from 0:00, and do people born in the South before 1975 have to adjust the hour?

The schools do not agree: the early Tý method takes 23:00 as the point where the day changes, and the late Tý method takes 0:00 as that point. The site's calculation core chooses 23:00 as the marker. As for the time zone, people born in the South before 1975 need to convert, because during that period the South used UTC+8, so one hour must be subtracted to return to UTC+7 before casting the chart.

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Four Pillars · Building the Four Pillars

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References

  1. Vạn Dân Anh (đời Minh), Tam Mệnh Thông Hội (三命通會), quyển 2, thiên Luận độn nguyệt thời (bản chữ Hán, Wikisource)
  2. Lý Hư Trung Mệnh Thư (李虛中命書), quyển hạ (bản Tứ khố toàn thư, Wikisource)
  3. Nhậm Thiết Tiều (đời Thanh), Trích Thiên Tủy xiển vi (滴天髓闡微), bản chữ Hán, Wikisource
  4. Trương Nam (Thần Phong), Thần Phong Thông Khảo (神峰通考), đời Minh (bản chữ Hán, Wikisource), mục Khởi đại vận pháp
  5. Nguyễn Văn Ất (20/05/2022), Hà Nội chuyện cũ, chuyện mới (kỳ 6): Chuyện múi giờ, giờ Âu, giờ Á, giờ Ta, Báo Pháp Luật Việt Nam
  6. Wikipedia: Sexagenary cycle
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