The Sixty Jiazi: The Sixty Combinations of Stems and Branches

The Sixty Jiazi are the sixty stem-branch pairs you get by matching the ten Heavenly Stems (Jia, Yi, Bing, Ding, Wu, Ji, Geng, Xin, Ren, Gui) in turn with the twelve Earthly Branches (Zi, Chou, Yin, Mao, Chen, Si, Wu, Wei, Shen, You, Xu, Hai). They were how the ancients counted years, months, days, and hours, and they are the basic unit of BaZi — each of your four pillars (year, month, day, hour) is one of them.

Three Building Blocks First: Stems, Branches, and the Five Elements

The Ten Heavenly Stems

There are ten Heavenly Stems, split into yin and yang and mapped to the five elements — they carry the energy of "heaven." The stem of your birth day is your Day Master, which stands for you.

Wood·YangWood·YinFire·YangFire·YinEarth·YangEarth·YinMetal·YangMetal·YinWater·YangWater·Yin

The Twelve Earthly Branches

There are twelve Earthly Branches, matched to the twelve zodiac animals and the twelve double-hours — they carry the energy of "earth."

Rat·23:00Ox·01:00Tiger·03:00Rabbit·05:00Dragon·07:00Snake·09:00Horse·11:00Goat·13:00Monkey·15:00Rooster·17:00Dog·19:00Pig·21:00

The Five Elements

Wood, Fire, Earth, Metal, and Water generate and control one another. Both the stems and the branches map to the five elements, and the balance of a chart comes down to how these five are spread across it.

MetalWoodWaterFireEarth

The Sixty Jiazi at a Glance

Tap any pair to see its stem, branch, nayin, and void.

Tap any pair above and its stem element, branch animal and hour, nayin, and void will show up here.

Where Do the Sixty Jiazi Come From?

The Stems Cycle Every Ten

The ten Heavenly Stems run in order — Jia, Yi, Bing, Ding, Wu, Ji, Geng, Xin, Ren, Gui — and one lap is ten. Across the sixty jiazi, each stem appears six times.

The Branches Cycle Every Twelve

The twelve Earthly Branches run in order — Zi, Chou, Yin, Mao, Chen, Si, Wu, Wei, Shen, You, Xu, Hai — and one lap is twelve. Across the sixty jiazi, each branch appears five times.

The Least Common Multiple of 10 and 12 Is 60

With ten stems and twelve branches, for both to return to the start (Jiazi) at the same time takes sixty steps. That is why the "Sixty Jiazi" cycle runs sixty years, and why it was used to count years and days.

The Sixty Jiazi Nayin Table (Thirty Nayin)

Every two neighbouring pairs share one nayin element, so the sixty jiazi have thirty nayin in all. Nayin is an element read by image, which the ancients used to describe the nature of a stem-branch pair. The classical lines below are drawn from the Ming-dynasty San Ming Tong Hui by Wan Minying; the plain-language notes are ours.

No.PairNayinElementVoid Branches
1 甲子 Gold in the Sea Metal 戌 亥
2 乙丑 Gold in the Sea Metal 戌 亥
3 丙寅 Fire in the Furnace Fire 戌 亥
4 丁卯 Fire in the Furnace Fire 戌 亥
5 戊辰 Great Forest Wood Wood 戌 亥
6 己巳 Great Forest Wood Wood 戌 亥
7 庚午 Roadside Earth Earth 戌 亥
8 辛未 Roadside Earth Earth 戌 亥
9 壬申 Sword-Edge Metal Metal 戌 亥
10 癸酉 Sword-Edge Metal Metal 戌 亥
11 甲戌 Fire on the Mountain Peak Fire 申 酉
12 乙亥 Fire on the Mountain Peak Fire 申 酉
13 丙子 Ravine Water Water 申 酉
14 丁丑 Ravine Water Water 申 酉
15 戊寅 City Wall Earth Earth 申 酉
16 己卯 City Wall Earth Earth 申 酉
17 庚辰 White Wax Metal Metal 申 酉
18 辛巳 White Wax Metal Metal 申 酉
19 壬午 Willow Wood Wood 申 酉
20 癸未 Willow Wood Wood 申 酉
21 甲申 Spring Water Water 午 未
22 乙酉 Spring Water Water 午 未
23 丙戌 Rooftop Earth Earth 午 未
24 丁亥 Rooftop Earth Earth 午 未
25 戊子 Thunderbolt Fire Fire 午 未
26 己丑 Thunderbolt Fire Fire 午 未
27 庚寅 Pine and Cypress Wood Wood 午 未
28 辛卯 Pine and Cypress Wood Wood 午 未
29 壬辰 Long-Flowing Water Water 午 未
30 癸巳 Long-Flowing Water Water 午 未
31 甲午 Gold in the Sand Metal 辰 巳
32 乙未 Gold in the Sand Metal 辰 巳
33 丙申 Fire at the Mountain's Foot Fire 辰 巳
34 丁酉 Fire at the Mountain's Foot Fire 辰 巳
35 戊戌 Level-Ground Wood Wood 辰 巳
36 己亥 Level-Ground Wood Wood 辰 巳
37 庚子 Wall Earth Earth 辰 巳
38 辛丑 Wall Earth Earth 辰 巳
39 壬寅 Gold Foil Metal 辰 巳
40 癸卯 Gold Foil Metal 辰 巳
41 甲辰 Sheltered Lamp Fire Fire 寅 卯
42 乙巳 Sheltered Lamp Fire Fire 寅 卯
43 丙午 Heavenly River Water Water 寅 卯
44 丁未 Heavenly River Water Water 寅 卯
45 戊申 Highway Earth Earth 寅 卯
46 己酉 Highway Earth Earth 寅 卯
47 庚戌 Hairpin and Bracelet Metal Metal 寅 卯
48 辛亥 Hairpin and Bracelet Metal Metal 寅 卯
49 壬子 Mulberry Wood Wood 寅 卯
50 癸丑 Mulberry Wood Wood 寅 卯
51 甲寅 Great Stream Water Water 子 丑
52 乙卯 Great Stream Water Water 子 丑
53 丙辰 Sand Earth Earth 子 丑
54 丁巳 Sand Earth Earth 子 丑
55 戊午 Fire in the Sky Fire 子 丑
56 己未 Fire in the Sky Fire 子 丑
57 庚申 Pomegranate Wood Wood 子 丑
58 辛酉 Pomegranate Wood Wood 子 丑
59 壬戌 Great Sea Water Water 子 丑
60 癸亥 Great Sea Water Water 子 丑

The Thirty Nayin, One by One

Metal

Gold in the Sea

Gold in the Sea: a treasure of the dragon's palace, a pearl conceived in the sea-serpent's chamber.

Gold that lies deep beneath the sea, its brilliance not yet surfaced — this speaks of wealth and talent kept out of sight. These people have deep roots and a large capacity. Their early years often look ordinary, and their weight shows more with age: a nature that stores first and rises later.

Sword-Edge Metal

Sword-Edge Metal: the White Emperor holds its power, its strength drawn from a hundred temperings.

A blade forged by a hundred temperings, keen and commanding. Full of nerve, able to cut cleanly and decide fast. Sharp as it is, it must learn restraint — used with measure, it wounds neither others nor itself.

White Wax Metal

White Wax Metal: a shard of jade from Kunlun, gold left behind on the banks of the Luo.

Metal still being refined, soft and not yet hardened — tender but not yet strong. Its potential waits to be worked; the early years call for grinding and the right surroundings, and once formed it carries its own sheen.

Gold in the Sand

Gold in the Sand: hard form scattered across the ground, precious substance hidden in the grit.

Grains of gold mixed into the sand — real in substance, yet needing to be panned before they show. Talent here is often buried in the ordinary; only after a round of sifting and grinding is its worth seen.

Gold Foil

Gold Foil: gilding cups and plates, adding lustre to palace halls.

A thin sheet of gold foil that, laid over an object, fills a whole room with light. It has an eye for beauty and can add lustre to people and matters alike — a gift for adornment; its foundation could stand to be thicker.

Hairpin and Bracelet Metal

Hairpin and Bracelet Metal: adorning the face as jewellery, adding lustre against the skin.

Gold worked into hairpins and bracelets, delicate and elegant, glinting close to the body. Fine and tasteful, mindful of mood and image, with its own sense of measure beneath a soft manner.

Wood

Great Forest Wood

Great Forest Wood: its trunk shakes the wind, its branches prop up the moon.

A vast forest, tall and dense, able to hold up wind and moon alike. Broad in scope, able to embrace many and stand on its own — well suited to paths that call for scale and long cultivation.

Willow Wood

Willow Wood: swaying by the Sui dyke, lissome in the Han gardens.

A willow that sways in the wind, soft, light, graceful in form. Full of feeling and quick to sense others, with a supple temperament — while it bends with the wind, it must remember to keep its own roots.

Pine and Cypress Wood

Pine and Cypress Wood: braving snow and frost, towering to the sky and covering the ground.

The pine and cypress that defy snow and frost, green through all four seasons, enduring the bitter cold. Principled and steadfast, able to bear hardship — a timber that only stands taller under pressure.

Level-Ground Wood

Level-Ground Wood: sprouts newly born, branches just beginning to unfurl.

A sapling newly risen from level ground, just putting out shoots and leaves, full of life. Rich in both potential and resilience, willing to root from the start — its prospects open up gradually with the years.

Mulberry Wood

Mulberry Wood: the loom's foundation for coloured silks, the very root of fine brocade.

The mulberry that silk-rearing and weaving depend on — plain to look at, yet the root of all fine brocade. Practical and hardworking, glad to help others succeed; its worth often shows in the support it gives.

Pomegranate Wood

Pomegranate Wood: pungent by nature as ginger, its blossoms red as fire.

The pomegranate, red-flowered and sour-fruited, with a pungent streak to its nature and a tree ablaze with red in bloom. Distinct in character and unwilling to be ordinary, all edges and angles — the more it matures, the more its flavour shows.

Water

Ravine Water

Ravine Water: fine ripples ringing the hills, snowmelt surging in the rapids.

A slender mountain stream, clear and unhurried, welling up at a rock and turning at a bend. This is a nimble, adaptable nature that reads opportunity in small things — those who move with the current gain the most from it.

Spring Water

Spring Water: a cold spring, clear and sweet, nourishing without end.

A clear spring welling up from underground, cold and sweet, never running dry. Its inner nourishment is endless; still water running deep is its true colour, and the calmer it grows the more its depth shows.

Long-Flowing Water

Long-Flowing Water: rolling on without limit, surging on without cease.

The unbroken flow of a great river, never resting day or night, bound for far places. Patient and able to go the distance, its achievements gather drop by drop over a long, steady course.

Heavenly River Water

Heavenly River Water: scattering over the six wilds, soaking the thousand fields.

The rain formed from the heavenly river, falling across all the land and blessing every direction. Broad in scope and open in heart, it gives freely and does not much reckon its own gains and losses.

Great Stream Water

Great Stream Water: fierce waves beating the bank, breakers rising to the sky.

A rushing great stream, waves striking the bank and surging skyward, flowing with force. Full of drive and brisk by nature, bold to charge ahead; amid the rapids, it should keep a measure of calm.

Great Sea Water

Great Sea Water: taking in the hundred rivers, a boundless expanse of ocean.

The vast ocean that gathers in the hundred rivers, deep and wide beyond bound, holding all things. Great in breadth and capacity, able to store and to contain — a nature built to carry the larger picture.

Fire

Fire in the Furnace

Fire in the Furnace: heaven and earth are its furnace, yin and yang its charcoal.

Furnace fire, fed by heaven and earth and fanned by yin and yang, burns fiercely. Ardent and driven, once set on something they want to make it big. But a fire this strong needs restraint — only with the right heat does it burn long.

Fire on the Mountain Peak

Fire on the Mountain Peak: a wildfire on the moor, its blaze stretching to the horizon.

A wildfire on the summit, a wall of red seen from afar — striking, yet hung high and far from people. High-minded and outwardly brilliant, it should bring its heat back down to solid ground, so it does not burn bright but empty.

Thunderbolt Fire

Thunderbolt Fire: a single thread of dazzling light, a command from the ninth heaven.

The fire of lightning, striking all at once, swift and fierce. It joins explosive force with decisiveness and can startle the world at a crucial moment; its swings are wide too, so it should find a rhythm between motion and stillness.

Fire at the Mountain's Foot

Fire at the Mountain's Foot: glimmering among the grass, glowing within the flowers.

The scattered fireflies among the grass and flowers at a mountain's foot, warm and unglaring, close and approachable. A gentle, warming nature — its light is not fierce, but it shines a long while.

Sheltered Lamp Fire

Sheltered Lamp Fire: light held in a golden cup, brilliance breathed from a jade stand.

The small flame sheltered within a lamp, steady and bright, lighting the way by night. Warm and finely attuned, it can guide people through the dark; what matters is keeping this lamp from being troubled by the wind.

Fire in the Sky

Fire in the Sky: warming the mountains and seas, its radiance lighting the universe.

The fire of the sun hung high in the sky, lighting the mountains and seas, its brilliance spanning the heavens. Large in bearing and able to light the way for many — pair steadfastness with this heat, and the light reaches far and lasts long.

Earth

Roadside Earth

Roadside Earth: the great ground stretching along the road, ten thousand acres of level field.

The soil beside the great roads and across the wide fields, bearing all who pass and feeding the crops. Practical and willing to give, content to pave the way and carry the load — its achievements build quietly.

City Wall Earth

City Wall Earth: ramparts of jade for the heavenly capital, a golden fortress for the imperial city.

The earth packed into a city wall, solid and defensible, guarding all within. Steady and dependable, principled and mindful of limits, it can shoulder responsibility and give others a sense of safety.

Rooftop Earth

Rooftop Earth: clay shaped into a grove, water and fire brought into accord.

The tiled earth laid over a roof, keeping out wind and rain and making a home. It values family and gladly shelters, willing to hold up a patch of steady sky for the people it loves.

Wall Earth

Wall Earth: leaning on ridgepole and beam, raising up gate and household.

The plaster set on a wall, leaning on ridgepole and beam to make a household. Good at borrowing strength, it thrives where it finds the right support; choosing the right beams and surroundings is its key.

Highway Earth

Highway Earth: a grand and open road, a level and even path.

The roadbed earth of the great thoroughfares, reaching in all directions and bearing the traffic north and south. Broad and well-connected, skilled at linking people and affairs, it meets its chances on the move.

Sand Earth

Sand Earth: heaped where the waves recede, formed along the shoals.

A sandbar heaped up where the waves draw back — loose to look at, yet able to gather much from little. Low-key and quietly deep, able to endure solitude, its achievements pile up bit by bit.

How Is Nayin Used?

The nayin element is not quite the same as the plain element of the stems and branches — it is a second, image-based layer, used traditionally to read a person's nature and the drift of their fortunes as a supporting reference, not the backbone of a chart. Reading a chart still comes down to the Day Master and how the elements generate and control one another overall.

The Void (Kong Wang)

Divide the sixty jiazi into groups of ten and you get six "decades" (xun). Each decade uses up ten stems but reaches only ten of the branches, so there are always two branches left unmatched — those two unpaired branches are that decade's void (kong wang).

The Void of the Six Decades

甲子 Void Branches:戌 亥
甲子乙丑丙寅丁卯戊辰己巳庚午辛未壬申癸酉
甲戌 Void Branches:申 酉
甲戌乙亥丙子丁丑戊寅己卯庚辰辛巳壬午癸未
甲申 Void Branches:午 未
甲申乙酉丙戌丁亥戊子己丑庚寅辛卯壬辰癸巳
甲午 Void Branches:辰 巳
甲午乙未丙申丁酉戊戌己亥庚子辛丑壬寅癸卯
甲辰 Void Branches:寅 卯
甲辰乙巳丙午丁未戊申己酉庚戌辛亥壬子癸丑
甲寅 Void Branches:子 丑
甲寅乙卯丙辰丁巳戊午己未庚申辛酉壬戌癸亥

What Does the Void Mean?

A branch in void runs a little hollow, and it reads differently depending on where it lands in a chart — less an ill omen than a note that "this spot is emptier and worth watching." What it actually means for good or ill depends on the whole chart; the void alone settles nothing.

How the Sixty Jiazi Work in BaZi

Your BaZi is one sixty-jiazi pair for each of your year, month, day, and hour of birth — four pillars, eight characters. The stem of the day pillar is your Day Master, which stands for you; how the other stems and branches generate and control that Day Master gives the Ten Gods; and each ten-year Luck Pillar and each annual year is itself a jiazi, read against your natal chart to trace the rise and fall of your fortunes. Understand the sixty jiazi and you hold the first piece of the BaZi puzzle.

Want to Know Which Four Jiazi Are Your Pillars?

Enter your solar or lunar birthday and get your Four Pillars free in 30 seconds — see which sixty-jiazi pair falls on your year, month, day, and hour, who your Day Master is, and how your five elements are spread.

Sixty Jiazi FAQ

What are the Sixty Jiazi?

The Sixty Jiazi are the sixty stem-branch pairs formed by matching the ten Heavenly Stems with the twelve Earthly Branches in order (from Jiazi and Yichou all the way to Guihai). They are the basic unit of the traditional calendar and of BaZi, and they cycle once every sixty years.

Why sixty pairs and not a hundred and twenty?

A stem only pairs with a branch of the same polarity (yang stem with yang branch, yin with yin), so it isn't 10×12 but the least common multiple of 10 and 12 — exactly sixty pairs.

What is the nayin element?

Every two neighbouring jiazi share one nayin element, thirty in all across the sixty — for example, Jiazi and Yichou are both "Gold in the Sea." Nayin is an element read by image, used traditionally to help judge the nature of a stem-branch pair.

How do I find out which jiazi my BaZi is?

Draw up your Four Pillars from your birth year, month, day, and hour, and each pillar is one sixty-jiazi pair. This site offers a free chart that shows your four pillars and Day Master in 30 seconds.