A Comprehensive Survey of the Fengshui Principle-and-Qi School
From historical origins, theoretical foundations, and the compass as core instrument, to the doctrines of Eight Mansions, Sanhe, Xuankong Flying Star, and other major schools—along with comparative case studies and inter-school debates—a panoramic survey of the principle-and-qi (liqi) tradition for advanced readers.

Chapter 1: Introduction — What Is Principle-and-Qi
1.1 Fengshui's Two Great Traditions: The Divide between Form and Principle-and-Qi
The classic statement of fengshui's (also called kanyu, dili, or the art of siting houses and graves) traditional internal division comes from the early-Ming scholar Wang Yi, in his Qingyan Conglu. He wrote that later exponents of the art of siting (dili) generally fall into two lineages: one takes form (xingshi) as its master principle—"tracing where a dragon mountain range arises to where it comes to rest, and thereby fixing position and facing, with sole attention to the mutual configuration of dragon, lair, sand, and water"—and because it originated with Yang Yunsong's lineage in Ganzhou, it came to be known as the Jiangxi method, what later generations call the Form School (also known as the luantou school or xingfa school). The other lineage "takes the stars and trigrams as its master principle, matching yang mountains to yang facings and yin mountains to yin facings, relying purely on the Five Stars and Eight Trigrams to determine the principle of generation and overcoming"; it arose in central Fujian and flourished widely under Wang Ji in the Song dynasty, and came to be known as the method of houses and dwellings, or the Fujian method—this is the protagonist of the present article, the principle-and-qi (liqi) school.
This binary division is, of course, a simplification. In actual practice, masters who look only at mountain form and water configuration and never touch a compass are exceedingly rare, and masters who do nothing but cast star charts while ignoring the surrounding landscape are equally rare; the great majority of schools combine form and principle-and-qi in some ratio, differing only in emphasis. But as a way of classifying types of knowledge, this distinction remains extremely useful, because the two traditions genuinely differ in what they treat as their object and in the methods they use:
The Form School works with what can be seen. The dragon (the configuration of mountain ranges), the lair (the point of gathering), the sand (the hills surrounding the lair), the water (rivers and their outlets), and the bright hall (the space in front of the lair)—all of these are landforms visible to the naked eye and describable in ordinary language. The Form School's judgments resemble a kind of empirical geomancy: mountains should have "sentiment," water should embrace the site, and qi should be sheltered from wind and gathered together; contrary configurations (a reflex bow, a direct thrust, a broken or crowding form) are taken as inauspicious. Its classics include the works attributed to Yang Yunsong, the Canglong Jing (Classic of Fathoming the Dragon) and Yilong Jing (Classic of Doubting the Dragon), Cai Yuanding's Fawei Lun, and works such as the Xu brothers' Dili Renzi Xuzhi (What the Descendants Must Know of Dili).
The Principle-and-Qi School works with qi, which cannot be seen. It posits that between Heaven and Earth there exists a kind of qi that determines fortune and misfortune, and that the distribution of this qi cannot (or cannot solely) be observed with the eye, but must instead be calculated through a system of symbols: marking directions with the trigrams and the stems and branches, discussing their nature through the generation and overcoming of the Five Phases, discussing their combinations through the numerology of the River Chart and Luo Writing, and discussing their period of efficacy through the cycling of the periods (yun). The operative core of the principle-and-qi school is the compass (luopan)—it divides space into the Twenty-Four Mountains (or finer subdivisions still), measures the sitting and facing of a house or grave and the directions of the surrounding sand and water, and then substitutes these into the school's own computational model to arrive at a judgment of fortune, misfortune, and its expected timing.
An easy way to remember the contrast: the question the Form School answers is "is this place well formed," while the question the Principle-and-Qi School answers is "does this place, at this time, facing this direction, harmonize with the flow of qi and fortune." The former is like reading a face; the latter is like casting a horoscope.
1.2 The Core Propositions of Principle-and-Qi: Direction, Time, and the Configuration of Qi
If one abstracts the doctrines of the various principle-and-qi schools down to their greatest common denominator, they can be reduced to three shared propositions.
First, qi is distributed by direction, and direction is marked by a system of symbols. The principle-and-qi school divides the horizontal plane equally into the Twenty-Four Mountains (each spanning fifteen degrees), or subdivides it further into sixty dragons, seventy-two dragons, one hundred twenty fen jin ("parting the gold"), or even the sixty-four hexagrams and three hundred eighty-four lines. Every unit of division is assigned a fixed set of symbolic attributes—a Phase, a yin or yang polarity, a trigram image, a star—so that "direction" ceases to be a neutral geometric concept and becomes instead a variable carrying information about fortune and misfortune. Two facings that are both, loosely, "south-facing" are, in the eyes of a principle-and-qi master, three quite distinct objects if they are Wu, Bing, or Ding facings—and even within a single Wu facing, three degrees toward Bing and three degrees toward Ding may yield sharply different judgments.
Second, sitting-and-facing is the "fate" of a house or grave. Nearly every principle-and-qi school treats the sitting-and-facing (the direction the building's back is set against is its "sitting" or "mountain"; the direction it looks out onto is its "facing") as the single most crucial input variable. A building's sitting-and-facing is to the principle-and-qi school what a person's birth moment is to fate calculation: it is the starting point of the entire computation, determining what kind of qi the building takes in. This is why the first step in principle-and-qi practice is always "fixing the facing" or "gauging the dragon to fix the direction"—using the compass to measure the sitting-and-facing precisely, since an error of even one or two degrees can place the reading in a different subdivision and yield an entirely different conclusion. This is also why the principle-and-qi school treats compass precision and the placement of the needle with an almost ritual exactitude.
Third, qi cycles with time, and fortune and misfortune have their season. This is the deepest point of divergence between the principle-and-qi school and the Form School. In the eyes of the Form School, a good mountain and good water are, on the whole, timeless—if the dragon is true and the lair is sound, it was auspicious a hundred years ago and remains auspicious a hundred years hence. The principle-and-qi school, however—especially the Three-Cycles Xuankong lineage—introduces the concept of cyclical periods (yun): a great cycle of one hundred eighty years (the Three Cycles, sanyuan) is divided into nine periods (jiuyun) of twenty years each; the direction visited by the star currently in power is flourishing, while the direction visited by a star that has fallen out of power is in decline. One and the same house may be a supremely auspicious configuration of "flourishing mountain, flourishing facing" during Period Seven, only to see its qi "recede" upon entering Period Eight, and even turn inauspicious by Period Nine. Fortune and misfortune are not an inherent property of space, but the intersection of a function of space and time. Not every principle-and-qi school accepts the doctrine of cyclical periods (the Eight Mansions school and the traditional Sanhe school largely do not use it), but whether and how the "temporal dimension" is handled is precisely one of the most important yardsticks for distinguishing among the schools.
It is worth noting, in passing, a formal characteristic of principle-and-qi reasoning, since it helps explain a phenomenon that will recur repeatedly in later chapters. Principle-and-qi reasoning is thoroughly rule-governed: given the inputs (sitting-and-facing, water outlet, year, life-gua), the rules are applied mechanically, and any practitioner following them arrives at the same result—a sharp contrast with the Form School's reliance on the eye, on experience, and on the artisanal judgment of "reading the qi" by feel. This rule-governed character gives the principle-and-qi school two family traits. On one hand, it is teachable, transmissible, and testable, which makes it easy to turn into a textbook subject, easy to teach by correspondence course, and easy to expand within a publishing market (the commercial success of Eight Mansions and of the Dili Wujue both stem from this). On the other hand, its rules can be endlessly supplemented—whenever a judgment fails to be borne out, this can always be attributed to "one more rule not yet applied," so exception clauses, remedial techniques, and ever finer subdivisions pile up layer upon layer, and the model only ever grows, never shrinks. The elaborate, ramified appearance of the principle-and-qi schools today is the natural outcome of centuries of this combination of "rule-governance plus unfalsifiability" evolving unchecked.
Beneath these three shared propositions, what the various schools disagree about is: which symbolic system to use in assigning attributes to direction (the Earlier Heaven trigrams or the Later Heaven trigrams$1 na-jia or Three-Cycles dragons$2); which rules to use in computing their configuration (generation and overcoming$3 he-shi pairing$4 flying distribution$5 gua-flipping$6); and which cycle to use in handling time (Three Cycles and Nine Periods$7 two cycles and eight periods$8 or no temporal handling at all$9). One might say that every dispute among the schools within the principle-and-qi tradition is, at bottom, a dispute about modeling—all share the premise that "qi can be computed through a symbolic system," but each holds its own position on which variables the model should select and by which rules it should operate.
1.3 Distinguishing "Schools": Why the Principle-and-Qi Tradition Has So Many Branches
Within the Form School, although there are also differences of transmission and teacher, the vocabulary is on the whole shared and conclusions can generally corroborate one another; the principle-and-qi school, by contrast, has splintered into more than a dozen operative systems—Eight Mansions, Sanhe, gua-flipping, Xuankong Flying Star, Xuankong Great Gua, the Six Methods, Jinsuo Yuguan, and others—whose conclusions are frequently incommensurable with one another. This article attributes the causes of this state of affairs to five factors, which also serve as a key for understanding the chapters that follow.
The institution of secret transmission. The learning of principle-and-qi has traditionally been passed down chiefly by oral instruction from master to disciple, with its core formulas (such as the Xuankong school's ai xing jue, the "star-shifting formula") kept secret for long stretches of time. Secret transmission has two consequences: first, doctrines from a single origin mutate independently along different lines of transmission, with no way to cross-check them against one another; second, the "true formula" becomes a scarce resource, and possessing (or claiming to possess) it becomes itself a form of market competitiveness—which incentivizes fragmentation rather than consolidation.
Deliberately cryptic classics. The core classics jointly revered by the principle-and-qi schools—the Qingnang Jing, the Qingnang Aoyu, the Tianyu Jing, and the Ducian Baozhao Jing—are all texts deliberately written in cryptic language. A line of scripture such as "the trigram of Jiangdong has always been auspicious; the eight spirits are but four" does not, on its face, constitute any directly executable operation; it can only be put to use with the aid of commentary. The history of annotating these classics thus became the history of founding schools: Jiang Daihong's commentary on the Tianyu Jing gave rise to Xuankong; Zhang Xinyan's sub-commentary on the Dili Bianzheng gave rise to the Sixty-Four Hexagram system; every school can read its own system out of the very same passage of scripture, while declaring that the other schools have misread it.
The tradition of false attribution. Principle-and-qi literature is heavily attributed to ancient sages and worthies who did not in fact write it: attributed to Huang Shigong, to Guo Pu, to Yang Yunsong, to Wu Jingluan, to Liu Bingzhong. False attribution makes a text's true date and authorship impossible to verify, and it also makes "authorization by a patriarch" cheap to obtain—any new doctrine can gain legitimacy simply by being falsely attributed to "the authentic transmission of Master Yang," so that schools can proliferate without limit.
Regional differentiation. The ancestral-temple methods of Fujian, the transmission of Master Yang at Sanliao in Jiangxi, the Wuchang school of Wuxi, the Dian-nan (southern Yunnan) school of Yunnan, the Jinsuo Yuguan of northern Jiangsu, and the Qiankun Guobao and Three-Cycles qi-intake methods popular in Taiwan—the principle-and-qi schools each carry a clear regional label. In an age when travel and publishing were undeveloped, regional isolation was itself a boundary between schools.
The difficulty of verification. Fengshui's claims of verified outcomes inherently lack the conditions for controlled experiment: the cycle over which fortune or misfortune is said to be borne out is measured in years or generations, variables cannot be isolated, and the selection and interpretation of cases both rest in the hands of the practitioner. No matter how arbitrary a model may be, it is very difficult to falsify it cleanly; the mechanism of elimination by which weaker models are weeded out therefore fails, and a variety of models are able to coexist over long periods. This point will be revisited from a contemporary perspective in Chapter Thirteen.
1.4 The Scope, Format, and Terminology of This Article
Scope. This article takes as its main thread the principle-and-qi doctrines concerning yang dwellings (residences, shops, offices, and other habitations of the living), while also touching on yin dwellings (graves)—because most principle-and-qi systems are, in fact, applicable to both yin and yang dwellings alike, and the Sanhe school's water methods in particular take the yin dwelling as their home ground, so that avoiding yin dwellings altogether would make it impossible to explain the doctrine clearly; but the case studies and discussion of application will focus on yang dwellings. The art of selecting auspicious dates (zeri) is closely related to principle-and-qi; this article devotes only a brief section to it in Chapter Nine, without expanding on it further.
Format. The chapters on individual schools generally proceed in the order "origins and transmission—core model—operative method—example—brief assessment." The brief-assessment sections gather together the criticisms commonly raised both within and outside a given school, representing "where the controversy lies"—they do not represent a verdict by this article that the school in question is invalid.
Terminological conventions. To avoid ambiguity, this article follows these conventions throughout:
- Sitting (zuo), facing (xiang): the direction a building's back is set against is its "sitting" (also called its "mountain," shan); the direction it looks out onto is its "facing." "Zi mountain, Wu facing" means sitting north (zi) and facing south (wu).
- The Twenty-Four Mountains: the compass divides the full three hundred sixty degrees equally into twenty-four sectors of fifteen degrees each, each bearing its own proper name (detailed in Chapter Three).
- Palace (gong): the Later Heaven trigrams divide the plane into eight palaces (Kan-north, Li-south, Zhen-east, Dui-west, Qian-northwest, Xun-southeast, Gen-northeast, Kun-southwest), each palace governing three mountains.
- Cyclical periods (yuanyun): the temporal system of the Three Cycles and Nine Periods (detailed in Chapter Three). Where the text refers to "Period Nine," it means the twenty years from 2024 to 2043 in the Gregorian calendar.
- Flying (fei), shifting (ai): "flying distribution" refers to the sequential placement of the Nine Stars across the nine palaces along the trajectory of the Luo Writing; "star-shifting" (aixing) is a technical term specific to the Xuankong school, referring to the determination, by a particular formula, of the starting point and the clockwise-or-counterclockwise direction of the stars' distribution.
- When quoting scripture, any text of false attribution is uniformly referred to as "traditionally attributed to so-and-so," rather than stated flatly as "Yang Yunsong said."
With this, we turn to the substance of the matter, beginning with the two-thousand-year path by which the principle-and-qi school came to be.