Five bureaus and their numbers
| Bureau | Number | First major period in nominal age |
|---|---|---|
| Water | 2 | 2–11 |
| Wood | 3 | 3–12 |
| Metal | 4 | 4–13 |
| Earth | 5 | 5–14 |
| Fire | 6 | 6–15 |
Swipe sideways to view the full table
The larger number is not a better score. Water 2 and Fire 6 place stars differently and begin their timelines at different nominal ages.
From Life Palace to Bureau
First determine the Life Palace’s branch from lunar month and hour. Next assign its stem using the birth-year stem and the Five Tigers sequence. The Na Yin of that stem-and-branch pair supplies the Bureau’s element.
Five Tigers groups the year stems as Jia/Ji, Yi/Geng, Bing/Xin, Ding/Ren and Wu/Gui. Each group starts a particular stem at Yin and advances through the branches. The same sequence is also encountered when calculating BaZi month stems.
The year-stem-group by Life-Palace-branch table below is generated from the engine. It shows the intervening stem as well as the resulting Bureau, so the result can be traced rather than memorized.
First use: placing Zi Wei
The lunar birth day and Bureau number together locate Zi Wei. The remaining main stars then follow their fixed positional relationships. The day-by-Bureau reference table covers lunar days 1–30 for all five bureaus.
An implementation must handle the traditional quotient/remainder placement rule consistently. The table is generated through the same placement function used by the product, so it does not maintain a second hand-copied star map.
If a corrected time changes the lunar day, the Bureau can stay the same while Zi Wei moves. If it changes the birth hour, Life Palace and Bureau can change as well. Accurate inputs therefore matter before interpreting stars.
Second use: major periods
The Bureau number sets the first major period’s starting nominal age. Each period then spans ten years and occupies one palace. Direction follows the configured traditional gender and year-stem-polarity rule: yang-year male and yin-year female forward, the reverse pairings backward.
The age table below shows the sequence for all five bureaus. It should be read as a timeline convention, not as a claim that every period has one fixed emotional or financial quality.
Nominal age is not completed age
Zi Wei major periods use nominal age here: the birth year counts as age 1 and another year is added at Li Chun under the site’s convention. This is different from completed years since a birthday.
The site’s BaZi ten-year cycles use a separate starting calculation based on the interval to a solar term. Its timeline and the Zi Wei major-period timeline should not be expected to change in the same year merely because both have ten-year spans.
Not the same as a missing element
The Bureau’s element is the Na Yin classification of one palace pair. A BaZi element distribution is a tally and interpretation of stems, branches and hidden stems across the birth chart. A Water 2 Bureau does not prove that a BaZi chart contains much Water—or any visible Water at all.
Personality descriptions sometimes attached to bureaus vary by teaching source. The clear computational uses are star placement and starting age. For a reading, the main stars, palace structure and transformations supply the broader context.
Declared limits
Unknown birth time prevents a reliable Life Palace and therefore a reliable Bureau. Leap-month, solar-time and year-boundary conventions can differ between calculators. Compare those assumptions before concluding that a different Bureau is an arithmetic mistake.
Reference tables and worked examples
These tables use the same data functions as the Traditional Chinese guide. Chinese characters identify the traditional symbols; the accompanying English names explain how to read them.
Year-stem group × Life-Palace branch
| Year stems | Zi (子) | Chou (丑) | Yin (寅) | Mao (卯) | Chen (辰) | Si (巳) | Wu (午) | Wei (未) | Shen (申) | You (酉) | Xu (戌) | Hai (亥) |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Jia–Ji (甲己) | Bing–Zi (丙子): Water 2 (水二局) | Ding–Chou (丁丑): Water 2 (水二局) | Bing–Yin (丙寅): Fire 6 (火六局) | Ding–Mao (丁卯): Fire 6 (火六局) | Wu–Chen (戊辰): Wood 3 (木三局) | Ji–Si (己巳): Wood 3 (木三局) | Geng–Wu (庚午): Earth 5 (土五局) | Xin–Wei (辛未): Earth 5 (土五局) | Ren–Shen (壬申): Metal 4 (金四局) | Gui–You (癸酉): Metal 4 (金四局) | Jia–Xu (甲戌): Fire 6 (火六局) | Yi–Hai (乙亥): Fire 6 (火六局) |
| Yi–Geng (乙庚) | Wu–Zi (戊子): Fire 6 (火六局) | Ji–Chou (己丑): Fire 6 (火六局) | Wu–Yin (戊寅): Earth 5 (土五局) | Ji–Mao (己卯): Earth 5 (土五局) | Geng–Chen (庚辰): Metal 4 (金四局) | Xin–Si (辛巳): Metal 4 (金四局) | Ren–Wu (壬午): Wood 3 (木三局) | Gui–Wei (癸未): Wood 3 (木三局) | Jia–Shen (甲申): Water 2 (水二局) | Yi–You (乙酉): Water 2 (水二局) | Bing–Xu (丙戌): Earth 5 (土五局) | Ding–Hai (丁亥): Earth 5 (土五局) |
| Bing–Xin (丙辛) | Geng–Zi (庚子): Earth 5 (土五局) | Xin–Chou (辛丑): Earth 5 (土五局) | Geng–Yin (庚寅): Wood 3 (木三局) | Xin–Mao (辛卯): Wood 3 (木三局) | Ren–Chen (壬辰): Water 2 (水二局) | Gui–Si (癸巳): Water 2 (水二局) | Jia–Wu (甲午): Metal 4 (金四局) | Yi–Wei (乙未): Metal 4 (金四局) | Bing–Shen (丙申): Fire 6 (火六局) | Ding–You (丁酉): Fire 6 (火六局) | Wu–Xu (戊戌): Wood 3 (木三局) | Ji–Hai (己亥): Wood 3 (木三局) |
| Ding–Ren (丁壬) | Ren–Zi (壬子): Wood 3 (木三局) | Gui–Chou (癸丑): Wood 3 (木三局) | Ren–Yin (壬寅): Metal 4 (金四局) | Gui–Mao (癸卯): Metal 4 (金四局) | Jia–Chen (甲辰): Fire 6 (火六局) | Yi–Si (乙巳): Fire 6 (火六局) | Bing–Wu (丙午): Water 2 (水二局) | Ding–Wei (丁未): Water 2 (水二局) | Wu–Shen (戊申): Earth 5 (土五局) | Ji–You (己酉): Earth 5 (土五局) | Geng–Xu (庚戌): Metal 4 (金四局) | Xin–Hai (辛亥): Metal 4 (金四局) |
| Wu–Gui (戊癸) | Jia–Zi (甲子): Metal 4 (金四局) | Yi–Chou (乙丑): Metal 4 (金四局) | Jia–Yin (甲寅): Water 2 (水二局) | Yi–Mao (乙卯): Water 2 (水二局) | Bing–Chen (丙辰): Earth 5 (土五局) | Ding–Si (丁巳): Earth 5 (土五局) | Wu–Wu (戊午): Fire 6 (火六局) | Ji–Wei (己未): Fire 6 (火六局) | Geng–Shen (庚申): Wood 3 (木三局) | Xin–You (辛酉): Wood 3 (木三局) | Ren–Xu (壬戌): Water 2 (水二局) | Gui–Hai (癸亥): Water 2 (水二局) |
Zi Wei position by lunar day and Bureau
| Lunar day | Water 2 | Wood 3 | Metal 4 | Earth 5 | Fire 6 |
|---|---|---|---|---|---|
| 1 | Chou (丑) | Chen (辰) | Hai (亥) | Wu (午) | You (酉) |
| 2 | Yin (寅) | Chou (丑) | Chen (辰) | Hai (亥) | Wu (午) |
| 3 | Yin (寅) | Yin (寅) | Chou (丑) | Chen (辰) | Hai (亥) |
| 4 | Mao (卯) | Si (巳) | Yin (寅) | Chou (丑) | Chen (辰) |
| 5 | Mao (卯) | Yin (寅) | Zi (子) | Yin (寅) | Chou (丑) |
| 6 | Chen (辰) | Mao (卯) | Si (巳) | Wei (未) | Yin (寅) |
| 7 | Chen (辰) | Wu (午) | Yin (寅) | Zi (子) | Xu (戌) |
| 8 | Si (巳) | Mao (卯) | Mao (卯) | Si (巳) | Wei (未) |
| 9 | Si (巳) | Chen (辰) | Chou (丑) | Yin (寅) | Zi (子) |
| 10 | Wu (午) | Wei (未) | Wu (午) | Mao (卯) | Si (巳) |
| 11 | Wu (午) | Chen (辰) | Mao (卯) | Shen (申) | Yin (寅) |
| 12 | Wei (未) | Si (巳) | Chen (辰) | Chou (丑) | Mao (卯) |
| 13 | Wei (未) | Shen (申) | Yin (寅) | Wu (午) | Hai (亥) |
| 14 | Shen (申) | Si (巳) | Wei (未) | Mao (卯) | Shen (申) |
| 15 | Shen (申) | Wu (午) | Chen (辰) | Chen (辰) | Chou (丑) |
| 16 | You (酉) | You (酉) | Si (巳) | You (酉) | Wu (午) |
| 17 | You (酉) | Wu (午) | Mao (卯) | Yin (寅) | Mao (卯) |
| 18 | Xu (戌) | Wei (未) | Shen (申) | Wei (未) | Chen (辰) |
| 19 | Xu (戌) | Xu (戌) | Si (巳) | Chen (辰) | Zi (子) |
| 20 | Hai (亥) | Wei (未) | Wu (午) | Si (巳) | You (酉) |
| 21 | Hai (亥) | Shen (申) | Chen (辰) | Xu (戌) | Yin (寅) |
| 22 | Zi (子) | Hai (亥) | You (酉) | Mao (卯) | Wei (未) |
| 23 | Zi (子) | Shen (申) | Wu (午) | Shen (申) | Chen (辰) |
| 24 | Chou (丑) | You (酉) | Wei (未) | Si (巳) | Si (巳) |
| 25 | Chou (丑) | Zi (子) | Si (巳) | Wu (午) | Chou (丑) |
| 26 | Yin (寅) | You (酉) | Xu (戌) | Hai (亥) | Xu (戌) |
| 27 | Yin (寅) | Xu (戌) | Wei (未) | Chen (辰) | Mao (卯) |
| 28 | Mao (卯) | Chou (丑) | Shen (申) | You (酉) | Shen (申) |
| 29 | Mao (卯) | Xu (戌) | Wu (午) | Wu (午) | Si (巳) |
| 30 | Chen (辰) | Hai (亥) | Hai (亥) | Wei (未) | Wu (午) |
Major-period nominal ages
| Period | Water 2 | Wood 3 | Metal 4 | Earth 5 | Fire 6 |
|---|---|---|---|---|---|
| 1 | 2–11 | 3–12 | 4–13 | 5–14 | 6–15 |
| 2 | 12–21 | 13–22 | 14–23 | 15–24 | 16–25 |
| 3 | 22–31 | 23–32 | 24–33 | 25–34 | 26–35 |
| 4 | 32–41 | 33–42 | 34–43 | 35–44 | 36–45 |
| 5 | 42–51 | 43–52 | 44–53 | 45–54 | 46–55 |
| 6 | 52–61 | 53–62 | 54–63 | 55–64 | 56–65 |
| 7 | 62–71 | 63–72 | 64–73 | 65–74 | 66–75 |
| 8 | 72–81 | 73–82 | 74–83 | 75–84 | 76–85 |
Public example’s major periods: male, forward setting
| Palace | Branch | Nominal age range |
|---|---|---|
| Life (命宮) | Xu (戌) | 5–14 |
| Parents (父母宮) | Hai (亥) | 15–24 |
| Wellbeing (福德宮) | Zi (子) | 25–34 |
| Property (田宅宮) | Chou (丑) | 35–44 |
| Career (官祿宮) | Yin (寅) | 45–54 |
| Friends (僕役宮) | Mao (卯) | 55–64 |
| Travel (遷移宮) | Chen (辰) | 65–74 |
| Health (疾厄宮) | Si (巳) | 75–84 |
| Wealth (財帛宮) | Wu (午) | 85–94 |
| Children (子女宮) | Wei (未) | 95–104 |
| Partner (夫妻宮) | Shen (申) | 105–114 |
| Siblings (兄弟宮) | You (酉) | 115–124 |
Public example’s major periods: female, backward setting
| Palace | Branch | Nominal age range |
|---|---|---|
| Life (命宮) | Xu (戌) | 5–14 |
| Siblings (兄弟宮) | You (酉) | 15–24 |
| Partner (夫妻宮) | Shen (申) | 25–34 |
| Children (子女宮) | Wei (未) | 35–44 |
| Wealth (財帛宮) | Wu (午) | 45–54 |
| Health (疾厄宮) | Si (巳) | 55–64 |
| Travel (遷移宮) | Chen (辰) | 65–74 |
| Friends (僕役宮) | Mao (卯) | 75–84 |
| Career (官祿宮) | Yin (寅) | 85–94 |
| Property (田宅宮) | Chou (丑) | 95–104 |
| Wellbeing (福德宮) | Zi (子) | 105–114 |
| Parents (父母宮) | Hai (亥) | 115–124 |
Sources and reading notes
The explanations here are our own English wording. Classical titles and Chinese symbols identify the source tradition; they do not imply agreement between all schools.
The declared Zi Wei calculation convention
The tables and public fictional examples share the chart’s palace, star and transformation data. Modern star descriptions are interpretive summaries, not quotations from a single classical text. Agreement with the calculation does not establish predictive accuracy.
Five Tigers stem-starting mnemonic
The same traditional mnemonic is used for BaZi month stems and Zi Wei palace stems. A Bureau is derived from the Life Palace’s stem–branch Na Yin, not from an element supposedly missing in the chart.