Chinese Zodiac Punishments (三刑): Groups, Directions & Self-Punishment
Branch Punishments, or 三刑 Sān Xíng, are not a single pairing. In the system presented by the Sanming Tonghui, there are two three-branch cycles, one two-branch mutual pair, and a self-punishment category involving repeated occurrences of the same branch. A Ming-dynasty source names each group, explains where the punishments come from, and gives each one its own character — and even explains why the category is still called “three” punishments when it covers four named groups.
This site’s Three Harmonies, Six Harmonies, Six Conflicts, and Six Harms pages cover four named Earthly-Branch relationship categories. Punishments is a fifth. This page sets out all three named punishment groups and the self-punishment category, what a classical source says generates them, and how they differ from each other.
Punishments quick answer
There are three named punishment groups plus self-punishment: Tiger–Snake–Monkey (寅巳申, “Punishment of Ingratitude”), Ox–Dog–Goat (丑戌未, “Punishment of Relying on Power”), Rat–Rabbit (子卯, “Punishment of No Courtesy”), and a self-punishment category where the same branch meets itself twice — Dragon–Dragon, Horse–Horse, Rooster–Rooster, or Pig–Pig (自刑).
Punishment is a technical label from the Earthly Branches (地支) — twelve symbolic signs used in the traditional Chinese calendar and in BaZi, a birth-chart system built from a person’s year, month, day, and hour of birth. “Punishment” here names a branch relationship, not a promise that two real people will punish each other. The classical source itself says a punishment should not automatically be read as misfortune — more on that below. Technically, these are relationships between Earthly Branches and can appear between branches in any of the four BaZi pillars, not only the birth-year branch. The animal names on this page are a reader-friendly way to display the branch groups; they do not mean the rule is limited to birth-year zodiac animals.
The four punishment categories
“Punishment of Ingratitude.” Three signs, but the source describes a one-way cycle rather than all three punishing each other equally — see the direction section below.
“Punishment of Relying on Power.” Also a one-way three-branch cycle, framed through one branch’s rank or strength acting on the next.
“Punishment of No Courtesy.” Only two branches, and the source’s own generating formula shows them punishing each other in both directions.
The source names this “Dragon meets Dragon, Horse meets Horse” (辰見辰，午見午): the same branch appearing a second time, not a single occurrence of the branch on its own.
Where the three groups come from
Sanming Tonghui opens this discussion by quoting the Yinfu Jing (阴符经): “恩生于害，害生于恩” — “benefit arises from harm, and harm arises from benefit.” The passage then continues in the source’s own voice, saying the Three Punishments arise from “two combinations” (三刑生于二合), comparing this with the way Six Harms is said to arise from Six Harmonies (both covered on this site’s own pages).
The chapter then spells out the generating formula branch by branch, by overlaying each Three Harmonies trio (三合) with the Three Meetings trio (三会) that shares one of its branches:
- 申子辰 (Monkey–Rat–Dragon) overlaid with 寅卯辰 (Tiger–Rabbit–Dragon) → Monkey punishes Tiger, Rat punishes Rabbit, Dragon punishes itself.
- 寅午戌 (Tiger–Horse–Dog) overlaid with 巳午未 (Snake–Horse–Goat) → Tiger punishes Snake, Horse punishes itself, Dog punishes Goat.
- 巳酉丑 (Snake–Rooster–Ox) overlaid with 申酉戌 (Monkey–Rooster–Dog) → Snake punishes Monkey, Rooster punishes itself, Ox punishes Dog.
- 亥卯未 (Pig–Rabbit–Goat) overlaid with 亥子丑 (Pig–Rat–Ox) → Pig punishes itself, Rabbit punishes Rat, Goat punishes Ox.
Collecting every pairing out of these four lines produces exactly the three named groups plus self-punishment above — and it also shows something a simple animal list does not: which branch punishes which, in which order.
Punishment runs one way — except one pair
Reading the generating formula above branch by branch, the two three-branch groups are not “all three punish each other” — each is a one-way cycle:
| Group | Direction (as generated above) | Structure |
|---|---|---|
| 寅巳申 · Tiger–Snake–Monkey | Tiger punishes Snake → Snake punishes Monkey → Monkey punishes Tiger | One-way three-branch cycle |
| 丑戌未 · Ox–Dog–Goat | Ox punishes Dog → Dog punishes Goat → Goat punishes Ox | One-way three-branch cycle |
| 子卯 · Rat–Rabbit | Rat punishes Rabbit, and Rabbit punishes Rat | Two-way mutual pair |
This matters for the same reason it matters on this site’s Six Harms page: describing two or three branches with parallel language (“they punish each other”) does not by itself mean the relationship runs equally in both directions. Here, the source’s own step-by-step generating formula is what settles it — the two three-branch groups each form a one-way cycle, while Rat–Rabbit is the one pair that the same formula generates in both directions.
Punishment branch table: what the classical source says
| Group | Chinese | What Sanming Tonghui says | Named label |
|---|---|---|---|
| Tiger · Snake · Monkey | 寅巳申 | The hidden wood stem inside Tiger is said to punish the hidden earth stem inside Snake — but that hidden earth combines with a hidden water stem that is wood’s own mother element, making it a father figure to Tiger. Punishing a father figure is framed as “forgetting gratitude.” | 无恩之刑 — “Punishment of Ingratitude” |
| Ox · Dog · Goat | 丑戌未 | Ox is said to rely on its abundant hidden water to punish the hidden fire inside Dog, weakened there at its “tomb stage”; Dog is then said to rely on higher rank to punish Goat’s lower rank. | 恃势之刑 — “Punishment of Relying on Power” |
| Rat · Rabbit | 子卯 | Rat (water) generates Rabbit (wood) under the standard Five-Element production order, making them mother and child — yet the source says they punish each other anyway. It adds a second image: Rabbit marks the sunrise gate and Rat marks where yang begins, so the two “stand horn to horn” without deference. | 无礼之刑 — “Punishment of No Courtesy” |
| Dragon · Horse · Rooster · Pig | 辰午酉亥 | This requires the same branch to appear a second time — the source’s own phrasing is “Dragon meets Dragon, Horse meets Horse, Rooster meets Rooster, Pig meets Pig” (辰見辰，午見午，酉見酉，亥見亥). Each of the four is explained separately: Dragon is water’s “tomb” stage and overflows if pushed further; Horse is fire at its peak and burns if pushed further; Rooster is metal’s own seat and chips if forced to be harder; Pig is water being born and rots if it swells too soon. The source’s summary: each carries an already-excessive share of its own qi, and repeating the same branch tips it into self-caused trouble. | 自刑 — “Self-Punishment” |
Source: the Ming-dynasty Sanming Tonghui (三命通会), compiled by Wan Min-ying, in its 论三刑 (“On Mutual Punishments”) chapter — the same source this site’s Six Harms page and Snake and Monkey compatibility page cite for their own material.
Naming note: Sanming Tonghui first presents 寅巳申 as the “Punishment of Ingratitude” and 丑戌未 as the “Punishment of Relying on Power,” as given in the table above. It then records an alternative attribution: “三車一覽以寅、巳、申爲恃勢，以三宮中各有長生臨官之勢；丑、戍、未爲無恩，以三位皆屬土，比和爲兄弟。其説亦通。” — the Sanche Yilan (三车一览) reverses those two labels, reasoning that 寅巳申 each carry a strong “long-life” or “assuming-office” phase (making that group the one “relying on power”), while 丑戌未 are all earth branches related as siblings (making that group the one framed through “ingratitude” among kin). Sanming Tonghui calls this alternative explanation workable too (其说亦通). This page follows Sanming Tonghui‘s primary presentation while noting the alternative, the same way this site’s Snake and Monkey compatibility page does.
A second explanation, offered by the same source
The chapter gives the branch-overlap mechanism above as its main account, then adds a second, separate explanation introduced with “or it is said” (或曰) — a numerological one: “或曰：三刑之法，以数起之。皇极中天，十为煞数，积数至十则悉空其数，天道恶盈满则覆。” — roughly, that punishment arises by counting: ten is treated as a number of misfortune, and once a count reaches ten it is said to empty out, because the way of heaven resents fullness and topples it. Applied to Tiger–Snake–Monkey specifically, one recorded version of this counting runs 寅逆至巳，巳逆至申，极十数而为无恩之刑 — counting backward from Tiger to Snake, then from Snake to Monkey, reaching ten produces the Punishment of Ingratitude. The source offers both explanations without ranking one over the other; this page leads with the branch-overlap account because it is the one that also explains where self-punishment comes from.
The source’s own caution: punishment is not automatic misfortune
Immediately after naming the four categories, the same chapter adds a qualifier: “凡见刑不可便以凶论，须看五行中有无吉辰、旺相、官星、印绶、责神、德福等物，有此诸吉相扶相助，刑不为害，而反为用；如无诸吉相助，更带亡劫、天中、羊刃等煞以恶济恶，祸不可言。” — seeing a punishment should not immediately be read as inauspicious. The text asks the reader to weigh it against other chart factors before drawing a conclusion — including what BaZi terminology calls Officer and Seal influences (roughly, markers of career standing and institutional support), the branch’s own strength, and other supportive factors. With that support, a punishment causes no harm and can even be put to use; without it, and combined with other malefic markers, the source says the outcome becomes serious. The chapter also says a punishment should first be checked against the year position (called 太岁 in this passage) before being read as active at all — a full explanation of BaZi’s year-pillar mechanics is outside the scope of this page.
Punishments vs Three Harmonies vs Six Harmonies vs Six Conflicts vs Six Harms
| Pattern | Chinese | Structure | Meaning |
|---|---|---|---|
| Three Harmonies | 三合 · Sān Hé | Four groups of three signs | Shared rhythm, group support, similar direction. |
| Six Harmonies | 六合 · Liù Hé | Six one-to-one pairs | Complementary pairing, quieter cooperation. |
| Six Conflicts | 六冲 · Liù Chōng | Six opposite pairs | Direct contrast, friction, or opposing priorities. |
| Six Harms | 六害 · Liù Hài | Six one-to-one pairs | A separate “harm” relationship, generated from where Six Harmonies and Six Conflicts overlap. |
| Punishments | 三刑 · Sān Xíng | Two three-branch cycles, one two-branch mutual pair, four self-punishing signs | Generated from where Three Harmonies and Three Meetings trios overlap; the source’s own caution against reading it as automatic misfortune applies here too. |
Punishments and Six Harms share a family resemblance — both are described in the same chapter’s own framing as arising from where two other systems overlap (Six Harms from Six Harmonies and Six Conflicts; Punishments from Three Harmonies and Three Meetings) — but they are separate categories with separate rosters. A sign’s Punishment partner is not necessarily the same animal as its Six Harms, Six Conflicts, or Six Harmonies partner. This site’s Snake and Monkey compatibility page shows one real pairing that happens to sit in three different systems at once: Six Harmonies (巳申), Punishments (as part of 寅巳申), and Six Breaks.
Confirm the sign first
None of these categories is useful if the underlying zodiac sign is wrong, and a sign taken from a calendar year alone can be wrong for people born in the first weeks of the year — the Chinese zodiac year turns over on a date other than January 1. For ordinary zodiac-animal lookup, the year changes at Lunar New Year. Formal BaZi practice commonly uses Lìchūn (Start of Spring) for the year-pillar boundary instead, so it matters which convention is being used.
Use the Chinese Zodiac Calculator or Chinese Zodiac Years Chart before comparing punishment groups.
Common mistakes
- Treating punishment as a prediction of real-life conflict. It is a classical branch-relationship label, and the source itself warns against reading it as automatic misfortune.
- Assuming all three-branch groups work the same way. Tiger–Snake–Monkey and Ox–Dog–Goat are each one-way three-branch cycles under the source’s own generating formula; Rat–Rabbit is a separate two-branch pair that runs in both directions.
- Confusing punishment with Six Harms or Six Conflicts. All three are separate named categories with separate rosters, even though Punishments and Six Harms are each described as arising from where two other systems overlap.
- Reading self-punishment as a single branch acting on its own. The source’s own wording — “Dragon meets Dragon, Horse meets Horse” (辰見辰，午見午) — requires the same branch to appear a second time, not just once. It is not a relationship between two people’s signs either; it describes one chart where a branch repeats.
- Skipping the zodiac year boundary. January and February birthdays can produce the wrong animal if the boundary is ignored.
- Using the pairing as relationship, medical, or financial advice. The result is cultural and historical context, not guidance for real decisions.
Want to check this for your own chart?
The groups above describe the general Mutual Punishments system. If you want to know whether your own chart — or a partner’s — actually falls into one of these groups, two resources go beyond a public reference page:
FAQ
What is Mutual Punishment (三刑) in the Chinese zodiac?
It is a set of Earthly Branch relationship categories from Chinese fate calculation: two three-branch groups (Tiger–Snake–Monkey and Ox–Dog–Goat), one two-branch mutual pair (Rat–Rabbit), and a self-punishment category covering Dragon, Horse, Rooster, and Pig. A classical source names all four and explains how they are generated.
What are the three named punishment groups called?
寅巳申 (Tiger–Snake–Monkey) is called 无恩之刑, “Punishment of Ingratitude.” 丑戌未 (Ox–Dog–Goat) is called 恃势之刑, “Punishment of Relying on Power.” 子卯 (Rat–Rabbit) is called 无礼之刑, “Punishment of No Courtesy.”
What is self-punishment (自刑)?
A fourth category where the same branch has to appear a second time — the source’s own phrasing is “Dragon meets Dragon, Horse meets Horse, Rooster meets Rooster, Pig meets Pig” (辰見辰，午見午，酉見酉，亥見亥). A single occurrence of Dragon, Horse, Rooster, or Pig on its own is not the pattern described here; each branch is said to carry an already-excessive share of its own qi, which the repeat is said to tip into trouble.
Do the three-branch punishment groups run in both directions?
Not evenly. The classical source’s own generating formula shows Tiger–Snake–Monkey and Ox–Dog–Goat as one-way three-branch cycles (each branch punishes the next, not all three punishing each other equally), while Rat–Rabbit is generated in both directions.
Is punishment the same as Six Harms or Six Conflicts?
No. All three are separate named categories with separate rosters of pairs, even though Punishments and Six Harms are each described in the source as arising from where two other branch-relationship systems overlap.
Why is it called “Three Punishments” if there are four named groups?
Sanming Tonghui asks this question directly: “此刑有四等名目，而独曰三刑者” — this punishment has four named categories, so why is it called only “Three Punishments”? Its answer is that the category takes its cue from three other four-part systems (the four Mutual Clashes, four extreme branches, and four storage branches) that are each missing one matching member and so cannot form a clean “four”; the three groups work by mutual push rather than a uniform fourth pattern, so the whole category is named “three” even though four labels are listed.
Does a punishment pairing mean a bad match?
The classical text itself cautions against reading any punishment as automatic misfortune without checking for other favorable factors in the chart. It is not a fixed verdict on two real people.
Next steps
Editorial note
This page explains Mutual Punishments (三刑) as a classical Chinese zodiac and Earthly Branch relationship category, sourced to the Ming-dynasty Sanming Tonghui (三命通会) by Wan Min-ying, via its 论三刑 (“On Mutual Punishments”) chapter — cross-checked against three independent transcriptions of the same chapter, hosted by Gushiwen, hosted by Zhongguo Gudian Wenxue, and hosted by Shidian Guji. The branch-overlap generating formula, the “或曰” numerological alternative, the four category names, the exact self-punishment wording, the 三车一览 alternative-naming note, the “why three if four” explanation, and the source’s own caution against reading punishment as automatic misfortune are all quoted directly from these transcriptions. Quoted phrases are presented as what the source says, not as a verified mechanism. Compatibility and fate-calculation notes on The Zodiac Lore are cultural and educational references, not relationship, marriage, medical, financial, legal, or life-decision advice.