[{"data":1,"prerenderedAt":291},["ShallowReactive",2],{"article:four-animals-in-one-chart:en":3,"article-topic:chinese-zodiac:en":173,"related-articles:en:chinese-zodiac:four-animals-in-one-chart:bazi-four-pillars":251},{"slug":4,"title":5,"description":6,"category":7,"topicSlug":8,"legacyPath":9,"authorId":10,"publishedAt":11,"updatedAt":12,"noindex":13,"summary":14,"sections":15,"references":138,"relatedTools":152,"seo":154,"contentImage":159},"four-animals-in-one-chart","Four Animals in One Chart, and What the Count Says","A chart carries four animals, not one. 20,736 four-animal combinations, 42.7% of charts repeating one, and six readable pairs: the arithmetic behind the set.","Zodiac","chinese-zodiac","","sun-hao","2026-10-26","2026-11-01",false,"Four animals at four change rates. 12^4 = 20,736 combinations put about 395,000 people in each bucket, and adding the stems multiplies the resolution twenty-five-fold. 42.7% of charts repeat an animal, and four branches give six pairs to read.",[16,41,48,108,114,121,126,133],{"heading":17,"body":18,"table":19},"The animal is a branch, and a chart carries four of them","The animal is usually translated as a person's sign, as though there were one per person. A chart has four pillars, every pillar carries a branch, and every branch has an animal. So a chart carries four animals, and the interesting part is not which four but that they are read as a set:",{"headers":20,"rows":24},[21,22,23],"Pillar","Where the branch comes from","Animal it names",[25,29,33,37],[26,27,28],"Year","the 干支 year, changing at 立春","the one people mean by 生肖",[30,31,32],"Month","the solar term — the 寅 month begins at 立春","the month animal",[34,35,36],"Day","a continuous sixty-day count with no seasonal anchor","the day animal",[38,39,40],"Hour","the clock, in two-hour blocks counted from 23:00","the hour animal",{"heading":42,"body":43},"The four change at four different rates",[44,45,46,47],"One per year, one per month, one per day, one per two hours. That single fact explains almost everything about how the four animals are used, because a thing that changes slowly is easy to remember, easy to ask a stranger for, and easy to print on a charm — while a thing that changes daily is useless as an identity and essential as a measurement.","The consequence is a resolution problem, and it can be counted. Twelve possible animals in each of four positions gives 12⁴ = 20,736 distinct four-animal combinations. Against a world population of about 8.2 billion, that is roughly 395,000 people per combination, assuming every combination is equally likely — which it is not, since birth rates vary by season and by hour, but the order of magnitude holds.","Add the stems and the picture changes. The year pillar is one of 60, the month branch is fixed by the solar term, the day is one of 60, and the hour branch is fixed by the clock — so the full four-pillar configuration is 60 × 12 × 60 × 12 = 518,400. That is exactly 25 times the animal-only figure, and it puts about 15,800 people on the same configuration.","The stems are therefore doing most of the work. Twenty-five-fold is the resolution that the animal names throw away, which is the quantitative version of the observation that a sign is a rough bucket and a chart is not.",{"heading":49,"body":50,"table":54},"Three of the four read off a calendar; the day does not",[51,52,53],"The year branch turns once a year at 立春. The month branch turns at each of the twelve 節: 立春 for 寅, 驚蟄 for 卯, 清明 for 辰, 立夏 for 巳, 芒種 for 午, 小暑 for 未, 立秋 for 申, 白露 for 酉, 寒露 for 戌, 立冬 for 亥, 大雪 for 子, 小寒 for 丑. The hour branch is a fixed table of clock blocks, so it needs only the birth time.","The day branch advances by one per day and cycles every sixty, with no relation to the month or the year. It cannot be derived from a date the way the year branch can be derived from the year; it has to be counted from a known day or looked up. 26 October 2026 is a 癸酉 day, so its animal is the rooster. 1 January 2000 was 戊午, a horse. Between those two points the count simply ran, and nothing in the sky reset it.","This is why the day pillar is the one part of a chart that cannot be estimated. A year animal can be guessed from a birth year; a day animal cannot be guessed from anything.",{"headers":55,"rows":59},[56,57,58],"Clock block","Branch","Animal",[60,64,68,72,76,80,84,88,92,96,100,104],[61,62,63],"23:00–01:00","子","rat",[65,66,67],"01:00–03:00","丑","ox",[69,70,71],"03:00–05:00","寅","tiger",[73,74,75],"05:00–07:00","卯","rabbit",[77,78,79],"07:00–09:00","辰","dragon",[81,82,83],"09:00–11:00","巳","snake",[85,86,87],"11:00–13:00","午","horse",[89,90,91],"13:00–15:00","未","goat",[93,94,95],"15:00–17:00","申","monkey",[97,98,99],"17:00–19:00","酉","rooster",[101,102,103],"19:00–21:00","戌","dog",[105,106,107],"21:00–23:00","亥","pig",{"heading":109,"body":110},"Forty-three per cent of charts repeat an animal",[111,112,113],"\"Two of the four are often the same one\" is usually asserted and never counted. It is easy to count. The chance that all four branches differ is 12 × 11 × 10 × 9 ÷ 12⁴ = 11,880 ÷ 20,736 = 57.3%. So 42.7% of charts contain at least one repeated animal.","That is close enough to a coin flip to matter, and it has a practical consequence: a reading that treats the four animals as four independent signals is wrong about four times in ten. A chart with two 酉 is not a chart with two roosters' worth of whatever a rooster means; it is one branch, counted twice.","The repeat is also the reason a chart can look like it is emphasising something. Exactly three of a kind in four named positions is 4 × 12 × 11 ÷ 12⁴ = 528 ÷ 20,736 = 2.5%, which is rare enough to notice. All four the same is 12 ÷ 20,736 = 0.06%, about one chart in 1,700. Two is the common case, and two is what most charts actually contain.",{"heading":115,"body":116},"Four animals give six pairs, and the base rate is the point",[117,118,119,120],"The branches relate to one another across pillars, and the number of relations you can read grows quadratically: one animal gives no pairs, two give one, four give 4 × 3 ÷ 2 = 6. That is the whole reason a chart reading looks at the set rather than at the year alone — not because four is a mystical number but because four is where the pairs come from.","Six pairs is also where the base rate becomes visible. There are 12 × 11 ÷ 2 = 66 possible pairs of branches, and six of them are a clash (沖), which is 9.1%. If the pairs in a chart were independent, the chance that none of the six clashes is (60 ÷ 66)⁶ = 56.4%, so 43.6% of charts contain at least one clash purely by construction.","That figure is not an argument against reading clashes; it is a calibration. A reading that treats a clash as unusual is misreading a base rate of nearly one in two. What a clash is worth depends on which pillars carry it and what else is in the chart, which is a question about the specific chart and not about the animal.","The definitions of 沖, 合, 刑 and 害, and how the sixteen loaded pairs are counted, belong to a separate piece; what matters here is only that the count of pairs is combinatorial and fixed before any chart is read.",{"heading":122,"body":123},"The day branch carries the most weight",[124,125],"Of the four, the day branch is the one that most readings are built on, and the reason is structural rather than traditional: the day stem is the Day Master, and every judgement in the reading is made relative to it. The other three pillars describe circumstances around that point.","This inverts the popular emphasis. The animal people know — the year animal — is the one the reading leans on least, and the animal nobody knows — the day animal — is the one it leans on most. The most quoted animal is the one with the least resolution, and the one with the most resolution is the one nobody can name without a lookup.",{"heading":127,"body":128,"bullets":129},"Where the four-animal picture stops","Three limits are worth stating plainly:",[130,131,132],"It does not describe a temperament. A branch is a position in a count, and nothing in the count measures a person. The 395,000 people sharing a four-animal combination are not sharing a personality.","It does not survive a wrong birth time. Two hours of error moves the hour animal; an error across 23:00 moves the day animal and the Day Master with it, which changes the pillar the reading is built on.","It does not settle the year boundary. Whether the year animal starts at 立春 or at the lunar new year changes the animal for anyone born in the gap, and the gap moves from year to year.",{"heading":134,"body":135},"What the four animals are good for",[136,137],"Not identification, and not prediction. What they are good for is bookkeeping: four positions, four rates, a fixed set of pairings between them, and a count that can be run without consulting anything. That is a compact notation for a calendar, and it is genuinely useful as one.","The trouble only starts when the notation is mistaken for a description. The year animal identifies a bucket of about 680 million people — one twelfth of the world — and a bucket that large cannot describe anyone. The four-animal set narrows it to about 395,000, and adding the stems narrows it to about 15,800, and even that is a group, not a person.",[139,146],{"id":140,"kind":141,"title":142,"detail":143,"publisher":144,"url":145,"accessedAt":11},"huainanziTianwenxun","traditional","Huainanzi, “Treatise on Celestial Patterns” (淮南子·天文訓)","The Han text that states the twelve-year count as an observation of Jupiter: 太陰在四仲，則歲星行三宿；太陰在四鉤，則歲星行二宿。二八十六，三四十二，故十二歲而行二十八宿。 It then fixes the schematic counter that replaces the planet — 天維建元，常以寅始起，右徙一歲而移，十二歲而大周天 — and names the clash as the opposite point: 歲星之所居，五榖豐昌，其對爲衝。 Cited for the period and the vocabulary only; nothing in it predicts anything about a person.","Wikisource digital text","https:\u002F\u002Fzh.wikisource.org\u002Fwiki\u002F%E6%B7%AE%E5%8D%97%E5%AD%90\u002F%E5%A4%A9%E6%96%87%E8%A8%93",{"id":147,"kind":141,"title":148,"detail":149,"publisher":144,"url":150,"accessedAt":151},"sanmingTonghui","Sanming Tonghui (三命通会)","A historical compilation used to cross-check traditional BaZi concepts; it is not scientific validation.","https:\u002F\u002Fzh.wikisource.org\u002Fwiki\u002F%E4%B8%89%E5%91%BD%E9%80%9A%E6%9C%83","2026-07-14",[153],"bazi-four-pillars",{"title":155,"description":156,"path":157,"type":158},"Four Animals in One Chart: Resolution, Repeats, Pairs","Four animals, four change rates. How many people share your combination, why 42.7% of charts repeat one, and where the six readable pairs come from.","\u002Farticles\u002Ffour-animals-in-one-chart","article",{"src":160,"srcByLocale":161,"alt":163,"width":164,"height":165,"altByLocale":166,"captionByLocale":169},"\u002Fimg\u002Farticles\u002Ffour-animals-in-one-chart.svg",{"tw":162},"\u002Fimg\u002Farticles\u002Ffour-animals-in-one-chart-tw.svg","Three-row comparison of how many people share a chart at three resolutions: the year animal alone at 683 million, all four animals at 395,000, and four animals plus stems at 15,800.",1280,960,{"zh":167,"tw":168},"三行对照：同一个盘在三级分辨率下各有多少人共用——只看年支 6.8 亿，四个动物 39.5 万，再加天干 1.58 万","三行對照：同一個盤在三級解析度下各有多少人共用——只看年支 6.8 億，四個動物 39.5 萬，再加天干 1.58 萬",{"en":170,"zh":171,"tw":172},"The animal names are the coarsest layer. Adding the stems does not change what the chart is; it changes how many people share it, by a factor of twenty-five.","动物名是最粗的一层。加上天干并不改变这张盘是什么，改变的是有多少人跟你共用它——差二十五倍。","動物名是最粗的一層。加上天干並不改變這張盤是什麼，改變的是有多少人跟你共用它——差二十五倍。",{"topic":174,"articles":207,"tools":245},{"slug":8,"title":175,"eyebrow":176,"description":177,"relatedTools":178,"articleIdeas":179,"seo":184,"sections":188},"Chinese Zodiac","Twelve branches, four animals","The animal is a branch label, and a chart carries four of them. Where the twelve-year count came from, what the year boundary does to it, what the compatibility pairs and fan tai sui actually count, and which of the four animals a reading turns on.",[153],[180,181,182,183],"Why There Are Twelve Animals","What Fan Tai Sui Counts","Four Animals in One Chart","The 23:00 Day Boundary",{"title":185,"description":186,"path":187},"Chinese Zodiac: Twelve Branches, Four Animals","Where the twelve-year animal count came from, what the year boundary does to it, what fan tai sui and the compatibility pairs actually count, and which animal a reading turns on.","\u002Ftopics\u002Fchinese-zodiac",[189,192,195,198,201,204],{"heading":190,"body":191},"What the animal is, before it is a personality","生肖 names one of the twelve earthly branches. A birth chart has four pillars and every pillar carries a branch, so a chart carries four animals rather than one — and two of the four are often the same. The animal most people quote is the year branch, and it is quoted because it changes once every twelve years, which makes it the easiest of the four to remember and the least informative of the four to read. Everything else in this topic follows from that: the animal is a position in a count, and the count has a history, a boundary problem, and a set of relations that are exact arithmetic rather than prediction.",{"heading":193,"body":194},"Where the twelve come from","The count is older than the animals. In the Huainanzi the cycle is stated as an observation of Jupiter: the year star moves through the twenty-eight lunar mansions, three in some years and two in others, and closes the circuit in twelve. Jupiter actually takes 11.86 years, so a count tied to its observed position gains about 51 days every cycle and drifts a full station in roughly eighty years. The same chapter supplies the repair — a point that starts at 寅, shifts one station per year in the opposite direction, and completes the circuit in twelve years by definition. That point is 太歲, and because it is defined rather than measured it cannot drift. The animal names were attached to the branches afterwards, and the branches were never Jupiter.",{"heading":196,"body":197},"The boundary problem nobody mentions","A year animal needs a year, and there are two candidates. Chart work changes the year at 立春, the solar term that falls around 4 February. Folk reckoning changes it at the lunar new year, which falls between 21 January and 20 February. In most years the two dates are a week or two apart, and anyone born in that gap has two defensible year animals. This is not a modern confusion: the solar-term year is what the four pillars are built from, and the lunar year is what a calendar prints. Both are correct inside their own convention, and a page that gives one without saying which is not answering the question.",{"heading":199,"body":200},"What people actually ask: compatibility and fan tai sui","Two questions bring almost everyone to this topic. The first is whether two animals go together. The branch relations behind that answer are fixed: 沖 is six stations apart, 合 is a defined pairing, and 刑 and 害 are defined sets, so twelve animals give sixty-six pairs and every pair has an answer. What the answer is worth is a separate matter, and it is settled by counting: a relation between two branches is a statement about two positions, not about two people. The second question is fan tai sui, being told at each new year that you offend the year. That phrase bundles five relations — 值, 沖, 刑, 害, 破 — and their union covers four or five of the twelve branches in any given year. A label that applies to a third of everyone every year cannot pick anyone out of that third. The daily almanac uses the identical twelve branches one level down, where each animal gets thirty-odd clash days a year whatever the year animal is.",{"heading":202,"body":203},"What the animal can and cannot tell you","It tells you a position. Two people born twelve years apart share the year animal, and so does roughly one in twelve of everyone alive, which is the arithmetic that limits what the label can carry. It does not describe a temperament: nothing in a count built to track a planet measures a person. It does not date anything on its own either, because the animal is only the branch half of a sixty-year label and the stem is the half that separates one rat year from another. What a reading actually turns on is the day branch, because the day stem is the Day Master and every other judgement is made relative to it — and the day branch is the one part of a chart that cannot be estimated from a date.",{"heading":205,"body":206},"Where to start, and with what","The four articles in this topic take the four questions in order: why there are twelve, what fan tai sui counts, which of the four animals is being read, and what happens to the day pillar when a birth falls between 23:00 and midnight. The Four Pillars calculator is the live tool that produces all four pillars with their branches, hidden stems and element distribution, so it is the one place to see the four animals of a chart at once rather than guessing the year animal from a birth year. For the day level — which day clashes with which branch — the date-selection tool answers a question that actually varies from day to day.",[208,220,231,234],{"slug":209,"title":210,"description":211,"category":7,"topicSlug":8,"legacyPath":9,"authorId":212,"publishedAt":11,"updatedAt":213,"summary":214,"relatedTools":215,"seo":216},"twelve-year-cycle-jupiter","Why Twelve Animals: Twenty-Eight Mansions Divided by Twelve","The twelve animals sit on a twelve-step count of Jupiter's circuit through twenty-eight mansions. Twenty-eight does not divide evenly by twelve, and the rounding rule that fixes it explains the cycle.","chen-jun","2026-10-31","The Huainanzi states the cycle as Jupiter crossing twenty-eight mansions in twelve years, three mansions in some years and two in others. The split is a rounding rule: 28 ÷ 12 is 2.33, and the annual average it produces sits 0.35° away from the planet's actual advance.",[153],{"title":217,"description":218,"path":219,"type":158},"Why Twelve Animals: 28 Mansions Divided by 12","Twenty-eight mansions over twelve years is 2.33 a year, so the count has to round. Here is the rounding rule in the Huainanzi and what it costs in degrees.","\u002Farticles\u002Ftwelve-year-cycle-jupiter",{"slug":221,"title":222,"description":223,"category":7,"topicSlug":8,"legacyPath":9,"authorId":212,"publishedAt":11,"updatedAt":224,"summary":225,"relatedTools":226,"seo":227},"tai-sui-and-fan-tai-sui","Fan Tai Sui: Jupiter's Shortfall and the Count Behind It","Tai sui is a bookkeeping point, invented because Jupiter takes 11.862 years, not 12. The five branch relations implicate four or five of twelve every year, and all twelve within a cycle.","2026-10-30","Jupiter gains 0.35° a year on the twelve-part count, so after about 86 years it is a whole station ahead — which is why the year point is fictitious rather than observed. The five relations cover 4.33 of twelve branches on average, and 值 plus 沖 alone catch every person twice in any twelve years.",[153],{"title":228,"description":229,"path":230,"type":158},"Fan Tai Sui: Jupiter's Shortfall and the Count","Tai sui is a position in a twelve-station count, not a planet: Jupiter runs 4.2 degrees short every twelve years. The five relations touch four or five branches, and all twelve within a cycle.","\u002Farticles\u002Ftai-sui-and-fan-tai-sui",{"slug":4,"title":5,"description":6,"category":7,"topicSlug":8,"legacyPath":9,"authorId":10,"publishedAt":11,"updatedAt":12,"summary":14,"relatedTools":232,"seo":233},[153],{"title":155,"description":156,"path":157,"type":158},{"slug":235,"title":236,"description":237,"category":238,"topicSlug":8,"legacyPath":9,"authorId":10,"publishedAt":11,"updatedAt":224,"summary":239,"relatedTools":240,"seo":241},"late-zi-hour-day-boundary","The 23:00 Boundary: Two Pillars Change, Not One","The 子 hour runs 23:00–01:00, so midnight sits inside it. One convention turns the day at 23:00, the other at midnight — and since the hour stem follows the day stem, both pillars change.","BaZi","On 5 December 2026 the day pillar steps from 癸丑 to 甲寅 at 23:00 and the hour from 癸亥 to 甲子, while the lunar date waits for midnight. Across China the same 23:00 clock minute is 亥 in Beijing, 子 in Shanghai and 戌 in Ürümqi.",[153],{"title":242,"description":243,"path":244,"type":158},"The 23:00 Day Boundary in BaZi: Two Pillars, Not One","子時 spans 23:00 to 01:00, so midnight sits inside it. Two conventions, two day pillars, and because the hour stem follows the day stem, two hour pillars as well.","\u002Farticles\u002Flate-zi-hour-day-boundary",[246],{"slug":153,"title":247,"shortTitle":248,"description":249,"category":238,"status":250},"Four Pillars BaZi Calculator","Four Pillars","Enter a Gregorian birth date and local time to see the four pillars, hidden stems, Ten Gods, Na Yin, branch relations, and element counts, with clear calendar and time-boundary limits.","live",{"articles":252},[253,266,281],{"slug":254,"title":255,"description":256,"category":238,"topicSlug":257,"legacyPath":258,"authorId":212,"publishedAt":259,"updatedAt":151,"summary":260,"relatedTools":261,"seo":263},"bazi-five-elements-lookup","BaZi Five Elements Lookup","A practical introduction to the five elements in BaZi and how Wood, Fire, Earth, Metal, and Water are used in birth profile interpretation.","bazi","\u002Fpages\u002Farticles\u002Fbazi-wuxing-chaxun.html","2025-09-01","The five elements are one of the easiest ways to begin reading BaZi. Learn what each element represents and why balance matters more than a simple good-or-bad label.",[262,153],"bazi-marriage",{"title":255,"description":264,"path":265,"type":158},"Learn how the five elements are used in BaZi birth profile interpretation and relationship compatibility reports.","\u002Farticles\u002Fbazi-five-elements-lookup",{"slug":267,"title":268,"description":269,"category":270,"topicSlug":271,"legacyPath":272,"authorId":273,"publishedAt":274,"updatedAt":275,"summary":276,"relatedTools":277,"seo":279},"moving-day-auspicious-date","Auspicious Moving Day Selection","A practical guide to choosing an auspicious moving day with traditional date selection and modern moving logistics.","Date Selection","feng-shui-cures","\u002Fpages\u002Farticles\u002Fbanjia-ze-jiri.html","zhang-hao","2025-09-19","2026-10-15","Moving day selection works best when traditional timing supports real preparation, safety, cleaning, utilities, and a calm first entry.",[153,278],"qi-men-dun-jia",{"title":268,"description":269,"path":280},"\u002Farticles\u002Fmoving-day-auspicious-date",{"slug":282,"title":283,"description":284,"category":238,"topicSlug":257,"legacyPath":285,"authorId":212,"publishedAt":286,"updatedAt":151,"summary":287,"relatedTools":288,"seo":289},"is-bazi-fortune-telling-accurate","Is BaZi Fortune Telling Accurate?","Examine how birth-data quality, chart rules, school differences, and the Barnum effect shape the perceived accuracy of a BaZi reading.","\u002Fpages\u002Farticles\u002Fbazi-suanming-zhun-ma.html","2025-09-21","Chart calculation and interpretation are two different things, and two methods can disagree on the same chart. The limits that follow cover health, finance, law, and relationship decisions.",[153],{"title":283,"description":284,"path":290},"\u002Farticles\u002Fis-bazi-fortune-telling-accurate",1793614153340]