[{"data":1,"prerenderedAt":301},["ShallowReactive",2],{"article:tai-sui-and-fan-tai-sui:en":3,"article-topic:chinese-zodiac:en":182,"related-articles:en:chinese-zodiac:tai-sui-and-fan-tai-sui:bazi-four-pillars":260},{"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":146,"relatedTools":161,"seo":163,"contentImage":168},"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.","Zodiac","chinese-zodiac","","chen-jun","2026-10-26","2026-10-30",false,"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.",[16,21,27,56,101,127,132,140],{"heading":17,"body":18},"太歲 is a position before it is a figure",[19,20],"The usual translation, year god, invites a picture of a deity who takes offence and has to be appeased. In the text where the term is fixed, it is a station on a circuit. 咸池為太歲，二月建卯，月從右行四仲，終而復始。太歲迎者辱，背者強，左者衰，右者昌。 The rule is directional — facing it is worse than turning your back on it — and it is stated about a point in the sky, not about anyone's character.","The same chapter supplies the clash. 歲星之所居，五榖豐昌，其對爲衝，歲乃有殃。 The point opposite the year star is called 衝. So 沖太歲 is not a later folk addition; it is in the Han text, and what it names is the station opposite the year's station.",{"heading":22,"body":23},"The position is fictitious on purpose, because Jupiter does not take twelve years",[24,25,26],"Jupiter's sidereal period is 11.862 years, not 12. Divide a circle by it and the planet advances 30.35° a year, so after twelve years it has travelled 364.2° — four degrees short of where the twelve-year count says it should be.","That shortfall is small and it accumulates. At 0.35° a year it takes about 86 years to add up to one whole station, and the historical 岁星 reckoning dealt with the surplus by inserting an extra station, a 超辰, every few generations. The fix that replaced it was to stop using the planet at all: define a point that moves exactly 30° a year, in the direction opposite to Jupiter, and name the years after that. That point is 太歲. It is a bookkeeping device, invented to keep a twelve-part cycle divisible by twelve.","This matters for how the term is read. 太歲 is not an object that can be observed, so nothing about it can be measured; but it is defined with complete precision, so everything about its position can be calculated. Those two properties together are what a calendar convention looks like.",{"heading":28,"body":29,"table":30},"Five relations bundled under one phrase","What people are told at each new year is that they 犯太歲 — offend the year. The phrase bundles five branch relations, each with its own rule. Taking 2026, a 丙午 year, as the example:",{"headers":31,"rows":35},[32,33,34],"Relation","Rule","Branches it touches in a 午 year",[36,40,44,48,52],[37,38,39],"值 (on duty)","your branch is the year branch","午",[41,42,43],"沖 (clash)","six stations away","子",[45,46,47],"刑 (punishment)","子卯; the 寅巳申 triad; the 丑戌未 triad; or a branch on itself","午 (on itself)",[49,50,51],"害 (harm)","子未, 丑午, 寅巳, 卯辰, 申亥, 酉戌","丑",[53,54,55],"破 (destruction)","子酉, 丑辰, 寅亥, 卯午, 巳申, 未戌","卯",{"heading":57,"body":58,"table":61},"The full count, for all twelve years",[59,60],"Union the five relations for each possible year branch and the set is never smaller than four branches and never larger than five. Four years in twelve implicate five branches; the other eight implicate four. The total across a full cycle is 52 branch-years, which is an average of 4.33 out of twelve — 36% of everyone alive in an average year.","The table is the whole argument, and it can be checked by hand in ten minutes:",{"headers":62,"rows":66},[63,64,65],"Year branch","Branches implicated","Count",[67,70,72,76,78,81,84,86,89,92,95,98],[43,68,69],"子 午 卯 未 酉","5",[51,71,69],"丑 未 午 辰 戌",[73,74,75],"寅","寅 申 巳 亥","4",[55,77,69],"卯 酉 辰 午 子",[79,80,75],"辰","辰 戌 卯 丑",[82,83,75],"巳","巳 亥 寅 申",[39,85,75],"午 子 丑 卯",[87,88,75],"未","未 丑 子 戌",[90,91,75],"申","申 寅 亥 巳",[93,94,75],"酉","酉 卯 戌 子",[96,97,69],"戌","戌 辰 酉 未 丑",[99,100,75],"亥","亥 巳 申 寅",{"heading":102,"body":103,"table":106},"Where \"one in three\" comes from: how many relations you bother to count",[104,105],"The figure is not a fact about the year. It is a function of how many of the five relations a practitioner includes, and the range is wide enough to explain most of the disagreement between one almanac and the next.","Counting only 值 and 沖, the two everybody knows, gives two branches out of twelve — 17%. Add 害 and it is three, 25%. Add 破 and it is four, 33%. Add 刑 and it settles at four or five, 36% on average. Every one of those numbers is defensible from the same list of relations; the only thing that changes is where the list stops.",{"headers":107,"rows":111},[108,109,110],"Relations counted","Branches per year","Share of people",[112,116,120,123],[113,114,115],"值 + 沖","2","17%",[117,118,119],"+ 害","3","25%",[121,75,122],"+ 破","33%",[124,125,126],"+ 刑","4 or 5, average 4.33","36%",{"heading":128,"body":129},"Over twelve years it reaches everyone, without exception",[130,131],"A single year's set covers a third of the population, which already makes the label weak as a warning. The twelve-year view makes it weaker still. Every branch is the 值 branch of exactly one year in twelve, and the 沖 branch of exactly one other, six years later. So every person alive is 犯太歲 at least twice in any twelve-year window, whatever their birth year, and on the full five-relation count the average is 4.33 times.","That is the part worth holding on to. A warning that reaches a third of the population every year, and all of it within twelve, is not distinguishing between people. It is describing the calendar.",{"heading":133,"body":134,"bullets":135},"What is prescribed, and which parts can be checked","Four practices attach to the label, and they differ sharply in whether anything about them can be verified:",[136,137,138,139],"安太歲, a rite performed at a temple for the year, usually with the name and birth date written on a slip. It is a ceremony; whether it did anything is not observable, and it is not sold as though it were.","穿紅, wearing red for the year. A convention with no mechanism offered, and the cheapest of the four.","躲春, avoiding conflict during the hour that contains the 立春 moment — staying indoors, not arguing, not travelling. This one is checkable in the narrow sense: the moment is computed from the sun's apparent longitude reaching 315°, published to the minute, and in 2027 it falls on 4 February. The window is exactly one 時辰 wide, and you can verify that you stayed inside it.","太歲方, the direction of the year branch, and 歲破, the direction opposite. In a 午 year that is due south and due north, and the traditional warning is against digging or building in the 太歲 sector. This is the only one of the four that can be checked against the physical world, because a compass settles it and a renovation either is or is not in that sector.",{"heading":141,"body":142},"What the label can and cannot carry",[143,144,145],"The calendar half is exact. Which branch the year carries, which branches that implicates, when 立春 falls, which compass sector the year occupies — all of it is defined, computable, and the same for everyone who does the arithmetic correctly. If the question is what the year is called, there is a right answer.","The consequence half is not. Nothing about a branch relation can be tested against how a year goes, and the arithmetic above explains why the attempt fails: the relation is satisfied by a third of the population in any given year, so it cannot separate the people whose year went badly from the people whose year went well.","The usable position follows from that split. Treat 犯太歲 as a fact about the calendar and a convention about conduct — the hour to stay in, the sector not to dig up, the red thing to wear if it pleases you — and not as a forecast. The label is precise. It is just not about you.",[147,154],{"id":148,"kind":149,"title":150,"detail":151,"publisher":152,"url":153,"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":155,"kind":156,"title":157,"detail":158,"publisher":159,"url":160,"accessedAt":11},"apaConfirmationBias","practical","APA Dictionary of Psychology: Confirmation bias","A psychology reference for why evidence that fits an existing expectation is kept and evidence that does not is not retrieved. Used to explain what a dated dream record changes; it does not evaluate dream interpretation itself.","American Psychological Association","https:\u002F\u002Fdictionary.apa.org\u002Fconfirmation-bias",[162],"bazi-four-pillars",{"title":164,"description":165,"path":166,"type":167},"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","article",{"src":169,"srcByLocale":170,"alt":172,"width":173,"height":174,"altByLocale":175,"captionByLocale":178},"\u002Fimg\u002Farticles\u002Ftai-sui-and-fan-tai-sui.svg",{"tw":171},"\u002Fimg\u002Farticles\u002Ftai-sui-and-fan-tai-sui-tw.svg","Two-column diagram listing the five branch relations bundled under fan tai sui and the branches each touches in a horse year, ending with the union of four branches out of twelve.",1280,960,{"zh":176,"tw":177},"两栏对照：犯太岁打包的五组地支关系，各自在午年牵动哪一支，末行给出并集——十二支里的四支。","兩欄對照：犯太歲打包的五組地支關係，各自在午年牽動哪一支，末行給出並集——十二支裡的四支。",{"en":179,"zh":180,"tw":181},"Five relations, four branches, one phrase. A label that covers a third of everyone every year cannot pick anyone out of that third.","五组关系，四个地支，一个词。每年覆盖三分之一人口的标签，在那三分之一里挑不出任何人。","五組關係，四個地支，一個詞。每年覆蓋三分之一人口的標籤，在那三分之一裡挑不出任何人。",{"topic":183,"articles":216,"tools":254},{"slug":8,"title":184,"eyebrow":185,"description":186,"relatedTools":187,"articleIdeas":188,"seo":193,"sections":197},"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.",[162],[189,190,191,192],"Why There Are Twelve Animals","What Fan Tai Sui Counts","Four Animals in One Chart","The 23:00 Day Boundary",{"title":194,"description":195,"path":196},"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",[198,201,204,207,210,213],{"heading":199,"body":200},"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":202,"body":203},"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":205,"body":206},"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":208,"body":209},"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":211,"body":212},"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":214,"body":215},"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.",[217,228,231,243],{"slug":218,"title":219,"description":220,"category":7,"topicSlug":8,"legacyPath":9,"authorId":10,"publishedAt":11,"updatedAt":221,"summary":222,"relatedTools":223,"seo":224},"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.","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.",[162],{"title":225,"description":226,"path":227,"type":167},"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":4,"title":5,"description":6,"category":7,"topicSlug":8,"legacyPath":9,"authorId":10,"publishedAt":11,"updatedAt":12,"summary":14,"relatedTools":229,"seo":230},[162],{"title":164,"description":165,"path":166,"type":167},{"slug":232,"title":233,"description":234,"category":7,"topicSlug":8,"legacyPath":9,"authorId":235,"publishedAt":11,"updatedAt":236,"summary":237,"relatedTools":238,"seo":239},"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.","sun-hao","2026-11-01","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.",[162],{"title":240,"description":241,"path":242,"type":167},"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",{"slug":244,"title":245,"description":246,"category":247,"topicSlug":8,"legacyPath":9,"authorId":235,"publishedAt":11,"updatedAt":12,"summary":248,"relatedTools":249,"seo":250},"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.",[162],{"title":251,"description":252,"path":253,"type":167},"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",[255],{"slug":162,"title":256,"shortTitle":257,"description":258,"category":247,"status":259},"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":261},[262,276,291],{"slug":263,"title":264,"description":265,"category":247,"topicSlug":266,"legacyPath":267,"authorId":10,"publishedAt":268,"updatedAt":269,"summary":270,"relatedTools":271,"seo":273},"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","2026-07-14","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.",[272,162],"bazi-marriage",{"title":264,"description":274,"path":275,"type":167},"Learn how the five elements are used in BaZi birth profile interpretation and relationship compatibility reports.","\u002Farticles\u002Fbazi-five-elements-lookup",{"slug":277,"title":278,"description":279,"category":280,"topicSlug":281,"legacyPath":282,"authorId":283,"publishedAt":284,"updatedAt":285,"summary":286,"relatedTools":287,"seo":289},"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.",[162,288],"qi-men-dun-jia",{"title":278,"description":279,"path":290},"\u002Farticles\u002Fmoving-day-auspicious-date",{"slug":292,"title":293,"description":294,"category":247,"topicSlug":266,"legacyPath":295,"authorId":10,"publishedAt":296,"updatedAt":269,"summary":297,"relatedTools":298,"seo":299},"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.",[162],{"title":293,"description":294,"path":300},"\u002Farticles\u002Fis-bazi-fortune-telling-accurate",1793614153215]