Heavenly Stems and Earthly Branches: How the 60-Year Cycle Works
Heavenly Stems and Earthly Branches are two ordered cycles used together in traditional Chinese timekeeping. The 10 stems and 12 branches advance one step at a time and return to their shared starting point after 60 pairings.
For Chinese zodiac years, the stem supplies the element and yin-yang layer, while the branch supplies the animal. That is how 丙午 bǐngwǔ becomes a Fire Horse year.
The system in three numbers
Five elements, each appearing once as yang and once as yin.
The ordered branch cycle associated with the 12 zodiac animals and double-hours.
The joint sequence begins with 甲子 jiǎzǐ and ends with 癸亥 guǐhài.
Why 60 instead of 120?
Ten times twelve would make 120 unrestricted combinations, but the two lists do not combine freely. They move forward together: odd-numbered yang stems meet odd-numbered yang branches, and even-numbered yin stems meet even-numbered yin branches. The shared sequence resets after the lowest common multiple of 10 and 12, which is 60.
Stem-branch year calculator
Enter a Gregorian year to see its stem, branch, zodiac animal, element and position in the 60-pair cycle. If a birthday fell before Lunar New Year, choose the second option so the tool reads the previous lunar year.
Please enter a year from 1901 through 2100.
- Pinyin
- Heavenly Stem
- Earthly Branch
- Cycle position
- # of 60
This result uses the entered Gregorian year. For a January or February birthday, check the exact Lunar New Year date before relying on it.
You selected a birthday before Lunar New Year, so the calculation uses , the previous lunar-year label.
This is a year-label tool, not a full BaZi calculator
It adjusts for Lunar New Year only when you tell it that the birthday came earlier. Some Four Pillars traditions change the year at Lìchūn instead. If the date is close to either boundary, use the date-based zodiac element calculator or a time-based BaZi calculation.
The 10 Heavenly Stems
The Heavenly Stems, 天干 tiāngān, carry the Five Elements in alternating yang and yin forms. In a zodiac year label, this is the source of Wood, Fire, Earth, Metal or Water.
| # | Stem | Pinyin | Element | Polarity | Year-label reading |
|---|---|---|---|---|---|
| 1 | 甲 | jiǎ | Wood 木 | Yang | Yang Wood |
| 2 | 乙 | yǐ | Wood 木 | Yin | Yin Wood |
| 3 | 丙 | bǐng | Fire 火 | Yang | Yang Fire |
| 4 | 丁 | dīng | Fire 火 | Yin | Yin Fire |
| 5 | 戊 | wù | Earth 土 | Yang | Yang Earth |
| 6 | 己 | jǐ | Earth 土 | Yin | Yin Earth |
| 7 | 庚 | gēng | Metal 金 | Yang | Yang Metal |
| 8 | 辛 | xīn | Metal 金 | Yin | Yin Metal |
| 9 | 壬 | rén | Water 水 | Yang | Yang Water |
| 10 | 癸 | guǐ | Water 水 | Yin | Yin Water |
The 12 Earthly Branches, animals and hours
The Earthly Branches, 地支 dìzhī, form the 12-position cycle. Each branch is associated with one zodiac animal and a traditional two-hour period.
| # | Branch | Pinyin | Zodiac animal | Chinese pairing | Traditional time |
|---|---|---|---|---|---|
| 1 | 子 | zǐ | Rat | 子鼠 | 23:00–01:00 |
| 2 | 丑 | chǒu | Ox | 丑牛 | 01:00–03:00 |
| 3 | 寅 | yín | Tiger | 寅虎 | 03:00–05:00 |
| 4 | 卯 | mǎo | Rabbit | 卯兔 | 05:00–07:00 |
| 5 | 辰 | chén | Dragon | 辰龙 | 07:00–09:00 |
| 6 | 巳 | sì | Snake | 巳蛇 | 09:00–11:00 |
| 7 | 午 | wǔ | Horse | 午马 | 11:00–13:00 |
| 8 | 未 | wèi | Goat | 未羊 | 13:00–15:00 |
| 9 | 申 | shēn | Monkey | 申猴 | 15:00–17:00 |
| 10 | 酉 | yǒu | Rooster | 酉鸡 | 17:00–19:00 |
| 11 | 戌 | xū | Dog | 戌狗 | 19:00–21:00 |
| 12 | 亥 | hài | Pig | 亥猪 | 21:00–23:00 |
The character 羊 yáng can be translated as Goat, Sheep or Ram. The Zodiac Lore uses “Goat” consistently while keeping the original character visible.
How the 60-pair cycle advances
The sequence begins with 甲子 jiǎzǐ. Both lists then move forward together: 乙丑 yǐchǒu, 丙寅 bǐngyín, and so on. The animal branch returns after 12 steps, but the same stem and branch do not meet again until step 60.
That distinction explains why a Dragon year arrives every 12 years while the same Wood Dragon stem-branch pair returns only every 60 years. The full cycle is listed on the 60-year Chinese zodiac cycle chart.
| Cycle # | Pair | Pinyin | Stem layer | Branch animal | Common label |
|---|---|---|---|---|---|
| 1 | 甲子 | jiǎzǐ | Yang Wood | Rat | Wood Rat |
| 2 | 乙丑 | yǐchǒu | Yin Wood | Ox | Wood Ox |
| 3 | 丙寅 | bǐngyín | Yang Fire | Tiger | Fire Tiger |
| 4 | 丁卯 | dīngmǎo | Yin Fire | Rabbit | Fire Rabbit |
| 5 | 戊辰 | wùchén | Yang Earth | Dragon | Earth Dragon |
| 6 | 己巳 | jǐsì | Yin Earth | Snake | Earth Snake |
| 7 | 庚午 | gēngwǔ | Yang Metal | Horse | Metal Horse |
| 8 | 辛未 | xīnwèi | Yin Metal | Goat | Metal Goat |
| 9 | 壬申 | rénshēn | Yang Water | Monkey | Water Monkey |
| 10 | 癸酉 | guǐyǒu | Yin Water | Rooster | Water Rooster |
| 11 | 甲戌 | jiǎxū | Yang Wood | Dog | Wood Dog |
| 12 | 乙亥 | yǐhài | Yin Wood | Pig | Wood Pig |
Reading a year name step by step
甲 jiǎ is Yang Wood. 辰 chén is the Dragon branch. Together they form 甲辰 jiǎchén, pair 41 in the cycle.
丙 bǐng is Yang Fire. 午 wǔ is the Horse branch. Together they form 丙午 bǐngwǔ, pair 43 in the cycle.
A Gregorian year number alone is not enough for a January or early-February birthday. The popular zodiac year changes at Lunar New Year, not January 1. Read the January and February zodiac boundary guide before assigning the pair to a person.
Stems and branches are used beyond years
Years are the most familiar use on a zodiac site, but they are only one layer. The system has also been used to label months, days and hours. The Hong Kong Observatory’s calendar reference notes an important historical distinction: stem-branch year and day notation has been used for two to three thousand years, while months and double-hours were originally paired with branches alone and received stems later.
The layer used for animal-and-element year names on this site.
Traditional calendars can assign a stem-branch pair to each day.
Branches mark months and double-hours; fuller systems also assign their stems.
In Four Pillars, year, month, day and hour each receive a stem-branch pair, producing eight characters in total. This page explains the naming structure; the BaZi calculator handles the four-pillar calculation.
Five common mistakes
- Stopping at the animal. The branch gives the animal, but the full year label also needs its stem.
- Calling Fire or Water a permanent animal trait. The year element comes from the stem; different Horse years can carry different stems and elements.
- Expecting all 120 mathematical pairings. The ordered sequence keeps yin with yin and yang with yang, leaving 60 valid pairs.
- Using January 1 as the zodiac cutoff. Popular birth-year lookup follows Lunar New Year; some Four Pillars practice uses Lìchūn.
- Treating the year pillar as a personality test. The system is a calendar and cultural framework. Symbolic readings are traditional interpretations, not scientific personality facts.
Want your own stem-branch pillar worked out?
The 60-pair cycle above is the structural map. Applying it to an actual birth year — yours, or yours next to a partner’s — is a different task from reading the reference table:
FAQ
What are Heavenly Stems and Earthly Branches?
They are ordered cycles of 10 and 12 signs that advance together to form the 60-pair gānzhī cycle used in traditional Chinese timekeeping.
Why are there 60 stem-branch pairs instead of 120?
The two lists move forward together rather than combining freely. Yang stems meet yang branches, yin stems meet yin branches, and the joint sequence returns to its start after 60 steps.
Does the zodiac animal come from the stem or the branch?
The zodiac animal comes from the Earthly Branch. For example, 辰 chén is associated with Dragon and 午 wǔ with Horse.
Where does the year element come from?
The year element comes from the Heavenly Stem: 甲乙 Wood, 丙丁 Fire, 戊己 Earth, 庚辛 Metal, and 壬癸 Water.
What is 2026 in Heavenly Stems and Earthly Branches?
2026 is 丙午 bǐngwǔ, the Fire Horse pair, after the lunar year begins on February 17, 2026. A birth before that date still belongs to the previous lunar-year pair in popular zodiac lookup.
Are Heavenly Stems and Earthly Branches the same as BaZi?
No. Stems and branches are the components. BaZi assigns one stem-branch pair to each of four pillars: year, month, day and hour.
Do stem-branch years change at Lunar New Year or Lìchūn?
Official lunar calendars and popular zodiac lookup use Lunar New Year, while some Four Pillars traditions use Lìchūn. A boundary-date reading should state which convention it follows.
Continue from the structure to your year
Editorial note
The stem and branch lists, 60-pair sequence and traditional hour mapping were checked against the Hong Kong Observatory calendar reference and The Zodiac Lore’s verified calculation tables. The calculator uses a deterministic year formula and does not infer a complete birth chart. This page explains a cultural calendar system for education; it is not a prediction or medical, financial, legal or relationship advice.