What are hidden stems (藏干)?
藏干 · 人元 · cáng gān
Hidden stems (藏干, cáng gān) are the Heavenly Stems concealed inside each Earthly Branch — one to three per branch, 28 across all twelve. Graded main, middle and residual qi, they carry the same elemental forces as visible stems at reduced weight, and they are what Day Master strength is judged from.
Which Heavenly Stems hide in each Earthly Branch?
| Branch (地支) | Main qi (本气) | Middle qi (中气) | Residual qi (余气) | Count |
|---|---|---|---|---|
| 子 Zǐ Rat | 癸 Guǐ · Yin Water | — | — | 1 |
| 丑 Chǒu Ox | 己 Jǐ · Yin Earth | 癸 Guǐ · Yin Water | 辛 Xīn · Yin Metal | 3 |
| 寅 Yín Tiger | 甲 Jiǎ · Yang Wood | 丙 Bǐng · Yang Fire | 戊 Wù · Yang Earth | 3 |
| 卯 Mǎo Rabbit | 乙 Yǐ · Yin Wood | — | — | 1 |
| 辰 Chén Dragon | 戊 Wù · Yang Earth | 乙 Yǐ · Yin Wood | 癸 Guǐ · Yin Water | 3 |
| 巳 Sì Snake | 丙 Bǐng · Yang Fire | 庚 Gēng · Yang Metal | 戊 Wù · Yang Earth | 3 |
| 午 Wǔ Horse | 丁 Dīng · Yin Fire | 己 Jǐ · Yin Earth | — | 2 |
| 未 Wèi Goat | 己 Jǐ · Yin Earth | 丁 Dīng · Yin Fire | 乙 Yǐ · Yin Wood | 3 |
| 申 Shēn Monkey | 庚 Gēng · Yang Metal | 壬 Rén · Yang Water | 戊 Wù · Yang Earth | 3 |
| 酉 Yǒu Rooster | 辛 Xīn · Yin Metal | — | — | 1 |
| 戌 Xū Dog | 戊 Wù · Yang Earth | 辛 Xīn · Yin Metal | 丁 Dīng · Yin Fire | 3 |
| 亥 Hài Pig | 壬 Rén · Yang Water | 甲 Jiǎ · Yang Wood | — | 2 |
28 hidden stems across twelve branches. Columns are ordered by weight, not by importance of the element itself — main, middle, residual. This table is generated from the same data the calculator uses, so the page and your chart cannot disagree.
Why a branch would hide anything
The ten Heavenly Stems are single, clean elemental forces — one stem, one element, one polarity. The twelve Earthly Branches are not. A branch is a span of time: a month, a two-hour period, a segment of a year. Time is mixed. The month we call 寅 is early spring, and early spring is mostly emerging Wood, with the last warmth of the Fire that is coming and a residue of the Earth that was.
Hidden stems (藏干, cáng gān) are how that mixture is written down. Each branch conceals one to three Heavenly Stems, and those stems carry the same elemental forces as visible ones — at reduced weight, and out of sight.
Across the twelve branches there are twenty-eight hidden stems in total. Three branches — 子, 卯, and 酉 — are pure and hide a single stem each. Seven hide three: the four Earth branches 辰戌丑未, called the storehouses because they hold the residue of a whole season, plus 寅, 巳, and 申. The remaining two, 午 and 亥, hide two.
Main, middle, and residual qi
Where a branch hides more than one stem, they are not equal. The first is the 本气 (běn qì), the main qi — the branch's own dominant nature, and the one that does most of the work. The second is the 中气 (zhōng qì), middle qi, usually the element the branch is storing or transitioning toward. The third is the 余气 (yú qì), residual qi, the trace of what preceded.
So 寅 hides 甲 (main, Wood), 丙 (middle, Fire — spring warming), and 戊 (residual, Earth). Reading it as "寅 contains Wood, Fire and Earth equally" loses the entire point: the branch is Wood that is turning toward Fire, with Earth left over.
One convention worth naming, because sources vary. Some traditions weight hidden stems by 人元司令 — how deep into the solar term the birth falls, which decides which hidden stem is "on duty" at that moment. That refinement is outside our stated scope. We read the three-tier structure and say so, rather than applying a finer division inconsistently.
What hidden stems are actually used for
Two things, and both matter more than the table itself.
First, rooting (通根). A Heavenly Stem standing alone in the chart is exposed — a force with no ground under it. If that same element appears as a hidden stem in one of the branches, the visible stem is said to be rooted there, and rooting is much of what separates a strong Day Master from a weak one. This is why a chart can look Wood-heavy on its four visible stems and still read as weak: nothing underneath.
Second, the Ten Gods. Hidden stems generate relationships to the Day Master exactly as visible stems do, which is where the "secondary stars" (副星) in a chart come from. A branch that looks inert on the surface may be carrying a Wealth or Officer relationship inside it, and much of the texture of a reading lives in those.
Do hidden stems count as much as visible ones?
No, and no serious method treats them as equal. A visible stem acts openly; a hidden stem acts through the branch that contains it, at a discount that increases from main to middle to residual qi.
How much of a discount is where methods differ, and the differences are not small. Our own weighting — including how the month branch is treated, since it carries more force than the other three — is written out on the charting-conventions page. If you see a strength verdict without the weighting behind it, the verdict is not reproducible, which means it is not really a measurement.
Hidden stems feed two things covered elsewhere: the five elements balance that decides strength, and from there the favourable element. Our exact weighting is on the charting conventions page. Or calculate your chart — hidden stems and their secondary Ten Gods are shown on every pillar.