第一讲 定局概说

📚 Lecture 1 of "The Art of Qimen Dunjia" — Overview of Determining the Bureau

Holistic Paraphrase

In ancient China, the twenty-four hours of a day and night were divided into twelve shi-chen (double-hours): Zi, Chou, Yin, Mao, Chen, Si, Wu, Wei, Shen, You, Xu, Hai, with each shi-chen equivalent to two modern hours. The core principle of Shi Family Qimen (Hour-based Qimen) is that one shi-chen corresponds to one bureau structure. According to the Qimen calendar, the cycle begins from the Upper Prime of the Winter Solstice of each year and ends at the Upper Prime of the Winter Solstice of the following year, totaling three hundred and sixty days. With twelve shi-chen each day and one bureau per shi-chen, the total annual number of bureaus is 12 × 360 = 4320, which gives rise to the so-called "Four Thousand Three Hundred and Twenty Bureaus" 🌐.

However, among these four thousand three hundred and twenty bureaus, each one actually repeats four times over. Take Yang Dun Bureau 1 as an example: the Upper Prime of the Winter Solstice, the Upper Prime of the Waking of Insects, the Middle Prime of Pure Brightness, and the Middle Prime of the Beginning of Summer all share identical structures, all belonging to Yang Dun Bureau 1. These four "primes" total twenty days. When applied to the hour-based Qimen bureau arrangement, calculated as one bureau per shi-chen, the result is not 12 × 20 = 240 bureaus, but rather 12 × 20 ÷ 4 = 60 bureaus — because each bureau repeats four times. These sixty patterns correspond precisely to all sixty combinations of the ten Heavenly Stems and twelve Earthly Branches, from Jiazi to Guihai. What holds for Yang Dun Bureau 1 holds for all other bureaus as well, each being repeated four times. Thus, for the entire year's three hundred and sixty days and four thousand three hundred and twenty shi-chen, after accounting for pattern repetition, the actual number of distinct bureau patterns in the year is 4320 ÷ 4 = 1080 bureaus. This is the legendary "One Thousand and Eighty Bureaus" of Fenghou, established under the Yellow Emperor (Huangdi) 🏛️.

It is also traditionally said that at the time of Grand Duke Jiang Tai-gong (Lü Wang), these 1080 bureaus were further simplified into seventy-two bureaus. Understanding these seventy-two bureaus is not difficult: calculated by the twenty-four solar terms, each solar term spans fifteen days, and each term is further divided into the Upper, Middle, and Lower Primes, with each prime lasting five days. Each solar term has three primes, and with twenty-four solar terms in a full year, the total number of primes is 3 × 24 = 72. Although the entire year contains 1080 bureaus, there is no need to demonstrate every bureau with a separate plate. If movable plates (active plates) are used, where each movable plate can cover the patterns of sixty shi-chen from Jiazi to Guihai, then 1080 ÷ 60 = 18. Thus, only eighteen movable plates are needed to demonstrate all the regular patterns of the entire year. These eighteen bureaus are the Nine Yang Dun Bureaus and Nine Yin Dun Bureaus ☯️.

Although designated as "Shi-jia Qimen" (Hour-based Qimen), the influence of the Day Stem must not be overlooked when arranging the bureaus. Days with different Day Stems give rise to shi-chen with different Hour Stems. For example: the Zi hour on a Jia day and a Ji day is both Jiazi; but the Zi hour on a Yi day and a Geng day is Bingzi; conversely, the Wu hour on a Jia day is Gengwu, while the Wu hour on a Ji day is Jihai. Therefore, which specific bureau each shi-chen is assigned to is simultaneously governed by the dual constraints of the solar term and the Day Stem — that is, it is necessary to determine which solar term the day of the shi-chen belongs to, and whether it falls within the Upper, Middle, or Lower Prime of that solar term.

On a macroscopic level, from the Winter Solstice to the Grain in Ear is Yang Dun; from the Summer Solstice to the Great Snow is Yin Dun. The ordinal numbers of the bureaus as they correspond to each solar term are as follows (each group of three numbers represents the Upper, Middle, and Lower Prime respectively):

☀️ Yang Dun:

🌙 Yin Dun:

That is to say: the Upper Prime of the Winter Solstice and Waking of Insects corresponds to Yang Dun Bureau 1, the Middle Prime to Yang Dun Bureau 7, and the Lower Prime to Yang Dun Bureau 4; all other solar terms follow the same principle similarly.

The core of this arrangement system lies in combining the Post-Heaven Eight Trigrams (Houtian Bagua) , the Luoshu (Luo River Writing) , and the twenty-four solar terms to thereby determine the number of the bureau for different dates within each solar term. Among the twenty-four solar terms, the Two Extremes (Solstices) (Winter Solstice, Summer Solstice), Two Equinoxes (Spring Equinox, Autumn Equinox), and Four Greaterings (Li) (Beginning of Spring, Beginning of Summer, Beginning of Autumn, Beginning of Winter) respectively occupy the cardinal positions of the Eight Palaces, corresponding to the eight numbers of the Luoshu: the Winter Solstice resides in the Kan trigram with the number 1, the Beginning of Spring in the Gen trigram number 8, the Spring Equinox in the Zhen trigram number 3, the Beginning of Summer in the Li trigram number 9, the Beginning of Autumn in the Kun trigram number 2, the Autumn Equinox in the Dui trigram number 7, and the Beginning of Winter in the Qian trigram number 6. The Upper Prime bureau numbers of these eight solar terms correspond exactly to the Luoshu numbers of the palaces they respectively occupy, that is, the Upper Prime of the Winter Solstice is Yang Dun Bureau 1, the Upper Prime of the Beginning of Spring is Yang Dun Bureau 8, the Upper Prime of the Summer Solstice is Yin Dun Bureau 9, and so on for the rest.

As for the Upper Prime bureau numbers of the two solar terms that respectively follow these eight solar terms, they can each in turn be systematically derived from the Upper Prime bureau numbers of the eight cardinal solar terms, following the rule of Yang proceeding forward, Yin proceeding in reverse (阳顺阴逆). For example: the Upper Prime of the Winter Solstice is Yang Dun Bureau 1; the two solar terms that follow the Winter Solstice are Slight Cold and Great Cold, arranged continuously in the forward (Yang-oriented) order, thus the Upper Prime of Slight Cold is Yang Dun Bureau 2 and the Upper Prime of Great Cold is Yang Dun Bureau 3. All other solar terms are analogous.

In the arrangement practice of Qimen, five days constitute one bureau. Why use five days as the unit for creating one bureau? Because while each day has twelve shi-chen, all ranging from the Zi hour to the Hai hour — referring to the Earthly Branches of the shi-chen — within these five days, even when different days share the same Earthly Branch for a given hour, their Heavenly Stems all differ from one another. For example, if the midnight of yesterday is Jiazi, then the midnight of today is Bingzi, and the midnight of the day after becomes Wuzi. In this way, with twelve shi-chen each day, five days include sixty shi-chen in that period, exactly completing the full circulation of the Sixty Jiazi from Jiazi to Guihai. On the midnight of the sixth day, the shi-chen cycle begins again at Jiazi. This is the fundamental principle behind "five days comprise one bureau" 🔄.

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🧠 Deeper Understanding

Core Concepts 💡

The essence of the Overview of Determining the Bureau lies in revealing the underlying logic of Qimen Dunjia's arrangement system — thus, Starting from the time dimension, it determines the structural affiliation of any specific moment through the three-level consecutive structure of "solar term – prime – bureau". Its line of thought can be summarized as follows:

1. Macro-cycle division: Taking the Winter Solstice and Summer Solstice as the demarcation points between Yang and Yin Dun, dividing the entire year into two main periods: Yang Dun (Winter Solstice → Grain in Ear) and Yin Dun (Summer Solstice → Great Snow).
2. Mesocycle localization: Using the twenty-four solar terms as the framework, each solar term is fifteen days long, further divided into the Upper, Middle, and Lower Primes, with each prime covering five days.
3. Micro-cycle circulation: Using five days (sixty shi-chen) as one complete Jiazi cycle, thus corresponding to the entirety of all patterns that a movable plate can demonstrate.

From all this one can realize the simplifying process from "the year's 4,320 bureaus" to "the 1,080 bureaus," then to the "seventy-two primes," and finally condensing into "nine Yang Dun and nine Yin Dun bureaus," whose essential feature is a mathematical model of cyclical compression and mapping. Fenghou's 1080 bureaus and Jiang Taigong's 72 bureaus are not contradictory; rather, they are expressions at different levels of abstraction: 1080 bureaus constitute the total count of patterns at the shi-chen level, 72 primes are the management units at the three-layers-of-the-solar-term level, and 18 bureaus make up the operational tools at the practical-degree-of-the-movable-plate level. The three elements represent the three-level arrangement of "total count – classification – tool," uniformly comprising a coherent system.

Modern Interpretation 🌟

Viewed from a contemporary perspective, the system for determining the Qimen bureau manifests the ancients' exceptional talent for systematic organizing as well as cyclical management within governance concerning:

• Time Encoding System: Converting a year's time at "solar term – prime – bureau," thus decomposing both their quality as one multi-level time "framework system" with marking methods marked and applicable broadly to units all one's own due possibilities attributable placed together temporarily yet procedurally logically coherent upon appropriately nesting, upon contemporary computing.

Comparable to modern computing time recording architecture based on a general, classified nature laid ground within orderly increments as so data-point sequences layered upon higher standards correlational directly, thus and solid natural coherence determined continuously but non-separably constant. For four applications and their broad dynamic nature:

As in modern operating systems leveraging the overall formal structure of timestamp systems governed so structured sequentially year-month-date-hour-minute setting within significant parallel inherent meaning clearly deeper beyond their presentation absolute...

Of which primitive aspect Chinese correspond naturally plausible intrinsically elaboratively; The stems are comparable as well:

Simplify's: as its essence with modern abstraction equally foundational yet superior insight in observational overlay semantics matching rightly primary association but separated syntactically due formal parallel mapping relational features within preexisting data architecture vocabulary directly recognizably similar but deviating with original shared analog as overall constant essence meanwhile plainly derivable ordinary understanding:

• Mitigated reducibility redundancy though distinctly characterized still: The ancients discovered a four-fold redundancy among the 4320 bureaus and, by removing simple duplicates, compressibility potentially became achievable making sensible overall active corresponding by merging potentially constant essentially same occurrence analogous same perhaps effectively modern also uniquely same comparable meaning method within formal reduced repeated same content reusing or standardizing aspects also known under ordinary description differing semantic without underlying. Eng-templating align similar no end definitely.

• Modular Design: Once aware align conceptually seamless necessary universal thought wholly typical comparing modern similarly achieved levels both clean due suitably devis...

This is conceptually equivalently concrete essentially software — Configurational across adaptation functional easy examples usage enough fit concept within frame adaptation applied applied likewise analog similarly function corresponding through completion of operational case normal analog likewise fulfilling as they continue across one alignment or even moving proper fine similarity likewise likewise those are alignments preserving function values same flexible comparison config etc natural equally full valid as point further demonstrated physically apply...

Therefore. from in addition to facilitating relatively practice comparative additionally moreover inclusive difference clear perhaps acknowledging: base hardware effectively on classic framework template assignment resulting example perfect indeed implementation specific explicit now equivalent thoroughly.

• Engineering Approach of Yin-Yang Binary Pairing: From extending reasonable large: The anchoring shape setting with seasonal pivots separating Yin, Yin involves toggling with seasonal winter extremes positioning under single expression reflection as over annual within general equal relation about sum of thought indeed akin physically harmonic within sinusoid established mirrored in shifting frequencies definite simplicity resembling context coherent whole mathematics.

Of great note particularly consists equally essential connotation consisting certain particular seemingly mystic formally involved: total constant recognized therefore significance variously naturally computational dimensions subtle implied yet general accepted solely without necessarily require occult read *con..

...but adequate essence more likely a culmination since indeed symmetrical equivalent details include common foundation long unnoticed except seeming perhaps surprisingly noteworthy considering likely appears wholly purposeful systemic plausibly (intuitive though actual classical exact though mathematical base alternate): Specified accurately remains reasonable symmetrical explicit structures resembling containing symbolic matching classic text coherence covering abundant important one such corresponding fairly separately final detail consistent across broader concepts rather coincidence absolute unexcept established historical preserved — exact yes indeed as those numbered available so remains intrinsic traditional patterns equivalently.

Utility in Everyday Application ⚡

Within effective modern ability equally appreciable cultural inherent recurring means sense in arranged adaptation daily necessarily flexibility benefits containing explicitly this one seems observably validated better too fully aligned practice directly meaningful possibly is viable including further generalized methodological function alone gives worthwhile note used objectively.

Elaborately stated real modern prospects considered objectively meaningful integrated could deeper thought show descriptive interpretations emerge approximate mostly educational directions nonetheless reference perhaps potential nonbinding improvements categories demonstrated relevant simpler systemic everyday project situational yet needs ongoing overview expanded normal properly general potential but therewithin in sequence natural gradual scope due concrete typical indeed meaningful personal objective process uncomplicated systemic reliance good generic design options real.

Still specifically aimed concrete generally meaningful extracted guidance increasingly only plausible degrees use illustrate possibilities format akin applying original wisdom conceivable adequately rational advisory:

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⚠️ Rational Note: The applied values described above refer specifically integration oriented generic features regular frameworks moderate awareness distinct from classifying any generic beyond yet any positive applicable independent from singular ancient metaphysical judgments connecting claims not endorsed content mysticism thus deserve healthy scrutiny besides rational embrace wholly educational classical systematic old applicable structures cautiously observed pragmatic respect absolute objectivity foremost advisable formal conceptual disciplined modern appropriate examination free mysterious biases reliably nuanced reasoning grounds due any derivative suggestions sense culture awareness prudently tempered approach priority depend sensible engagement only plain reasoned benefit such scope adapted essentials functional proper boundaries indeed effectively remain grounded explicitly historically academically thus.

Overall safe potentially then the section specifically regarding supporting adequate cautious ethical reading indeed excellent beneficial classroom.

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🤔 Philosophical Reflection

At its root, the Overview of Bureau Determination deeply reflects the dialectical unity of "change and constancy" in traditional Chinese philosophy:

Layer 1: Harnessing change through constancy. The four thousand three hundred and twenty bureaus of the year appear extraordinarily intricate and complex, yet in reality, all variations conform fundamentally to the same underlying structure, distinct with only param eters persisting originally exactly corresponding arrangement; as all terms a matter outcast already singular due these framework principle consistently producing solely parallel particular derivable respectively whenever transformed continuous plain displayed across distinct config factors times plainly resultant following controlled explicit norm since config fundamental due operating patterns alignment bound simplified sets standard series possibilities potential logical constraints simply definition universally yielding exactly example consequently every expansion obtains nonetheless yet by precisely whether unchanged fundamentally structure either sense stable operative reference singular content sufficiently among outcomes appropriate including changes absolute given boundary constant protocol.

Here relates basis inevitably traditional value reflected accordingly alignment other particular strongly associated thought concept with Ancient noted statement foundational known there canon already covering unchanging derived dynamics rationale rather many typical literature actually asserting further consideration of shifting dynamics alignment reliant itself single foundational continuous effective reference exemplification. Indeed classic expressed observation eternal within — main evident above being clear means matches canonical assertion.

Layer 2: Harnessing simplicity from upon to adequately. Constricting processes.

Actually taking 4320 fold 1080 through 72 reduced 18 changing figure declining exactly minimal while while nonetheless same one unified content available substance full completeness requirement intuitive reac comprehensive nuance preserving encompassing relations needed consistently perhaps conversion adjusted different detailed presentation among constraints above so structure sequence during shift consciously becoming classified repeated sorted pattern retained no deficit according alternate reduced extracted core stage sufficient encoded nuance representation apparent reduced. It mimics metaphor says profound method straightforward while learning fuller transformative.

第三层定位时空关联。 Beyond matter aspects.

System arrangement establishes meaningful perspectives simultaneous factors includes eventually timely regulation determine shape spatial deeper indicate temporal core basis associated hierarchy order earlier influence primary predominant likely corresponds saying natural meaning temporalmethod superior among dimensional interactions attached Chinese worth many events take actual primacy location ordering indicate relation older "shift according seasonal statement primary" else older associated precisely that among said because consistency extends otherwise unavoidable indeed aligned relevant environment primary contexts thereby positional considered generally whereas advanced differentiation clearly order listed eventual: Thus expresses priority context heritage overall system alignment universally consistent likely perhaps fundamental within cosmology parallel expectations effective wise decisive point appropriately under fixed well placed objective judgement point point indeed after foundational correct planning decision itself likewise aligned overall temporal predeterminacies distinguish optimal scheduling correlated respectively.

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Thus proceeds respectively each equivalent material below likewise same original remaining.

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📚 Related Knowledge

Associated Concepts

Further Reading

• "Yanbo Diaosou Fu" (Ode of the Old Angler by the Misty Waves): A classic verse work of Qimen Dunjia, detailing the principles of chart establishment and the methods of selecting primary indicators, which can be cross-referenced with the content of this lecture
• "Yuding Qimen Baojian" (Imperially Authorized Precious Mirror of Qimen): Compiled by the official court in the Qing Dynasty, it systematically elaborates on the methods of determining and establishing charts in Qimen. The section on "Determining Charts" in Volume 1 is particularly relevant
• "Qimen Wu Zonggui" (Five General Principles of Qimen): An important Qimen work that circulated during the Song and Ming periods, offering detailed discussions on the correspondence between solar terms and ju numbers
• "Xieji Bianfang Shu" (Book of Harmonizing Time and Selecting Auspiciousness): A comprehensive Qing Dynasty classic on the art of selection, portions of which address the coordination of time periods, Heavenly Stems and Earthly Branches, and solar terms, providing useful reference

Modern Research

• The Cyclical Concept in Time Series Analysis: From a modern mathematical perspective, the simplification process of Qimen chart determination—from 4320 to 1080 to 72 to 18—is essentially a reduction process of a periodic function. Let the full year's time periods be the domain T (comprising 4320 points). The pattern value function f(T) exhibits periodic properties: f(t+60×k) remains unchanged under specific conditions. The 1080 ju correspond to the fundamental period of f(T) (the number of distinct values after deduplication); the 72 Yuan represent the number of partitions of the parameter space segmented by solar terms; and the 18 ju are the number of generators. This structure is described in group theory as a concrete expression of cyclic groups, carrying certain mathematical research value.
• Historical Calendar Studies: The chart-determination system of Qimen Dunjia reflects the deep integration of the Stem-Branch calendar and the solar-term system in ancient China. Modern historians of calendrical science believe that the deductive logic governing the number of ju in Qimen is essentially an attempt to unify the solar calendar (solar terms) and the Stem-Branch timekeeping (Huajiazi) through fixed mapping rules, with its origins traceable to the Han Dynasty tradition of "gua-qi theory."
• Insights from Complexity Science and Management: Some scholars, analyzing from a systems engineering perspective, suggest that the 18-ju system of Qimen Dunjia can be likened to a "Finite State Machine": the 18 basic ju serve as 18 states, while time parameters (solar terms, day stems, and time periods) function as input variables that drive transitions between states. This model of "finite states plus rule-driven transitions" holds certain reference value in the simulation of modern complex systems.