BaZi method and sources

The chapter On Changes in the Useful Influence in Zi Ping Zhen Quan begins by explaining that although the useful influence belongs to the month command, a month can contain several hidden influences and therefore undergo changes; except for Zi, Wu, Mao, and You, the other branches contain such alternatives, not only the four storage branches. For structure selection, we therefore omit residual qi in those four cardinal branches: Zi supplies Gui, Mao Yi, You Xin, and Wu both Ji and Ding. Wu's Ji is intermediate rather than residual qi; the chapter On Purity and Mixture explicitly uses Gui born in Wu month with Ding and Ji both revealed, so Ji remains. This and the seasonal qi schedule answer different questions. The schedule asks how many days an influence governs: Ren governs the first ten days of Zi month and still contributes to strength scoring. The hidden-stem rule asks which influences the month contains for structure selection. We explain the distinction on the chart so the two displays do not appear contradictory. Zi Ping Zhen Quan identifies which branches have residual qi but does not enumerate every hidden stem. That full list comes from the Hidden Stems Verse in Yuan Hai Zi Ping: Zi contains Gui; Chou Gui, Xin, and Ji; Yin Jia, Bing, and Wu; Mao Yi; Chen Yi, Wu, and Gui; Si Geng, Bing, and Wu; Wu Ding and Ji; Wei Yi, Ji, and Ding; Shen Geng, Ren, and Wu; You Xin; Xu Xin, Ding, and Wu; and Hai Ren and Jia. We use that verse. Together, the two sources remove only five seasonal entries: Ren in Zi, Jia in Mao, Bing in Wu, and Geng in You are excluded by the first; Wu in Hai is absent from the second. The result matches the conventional hidden-stem table already shown under the Four Pillars, avoiding two competing lists on one page. San Ming Tong Hui's chapter on governing human elements gives five days of Wu in Hai, but explicitly concerns days of governance, matching our strength-scoring schedule rather than contradicting the structural list. Yuan Hai Zi Ping itself prints both the seasonal-governance verse and the hidden-stem verse with different contents, directly supporting this distinction. A decisive cardinal-branch example appears in On Stem Combinations That Do and Do Not Combine: Grand Commandant Gao's pillars, Geng-Wu, Yi-You, Jia-Zi, and Yi-Hai, are read as combining away Seven Killings and retaining Direct Officer. Geng is You's residual seasonal influence, not its structural hidden stem, so it is the mixed Killings influence removed by Yi; Xin remains the month-command Officer defining the structure. Including Geng as a structural month influence would instead yield Seven Killings, contrary to the example. Elsewhere the text consistently calls Jia in You month and Bing in Zi month month-command Officer configurations, irrespective of whether Geng or Ren is revealed.

On Changes in the Useful Influence states that multiple month-command influences occur beyond the four storage branches. The branch-combination rule discussed in On Mixed Qi concerns only Chen, Xu, Chou, and Wei, but this chapter supplies a general rule. Its example is Ding born in Hai month: initially Direct Officer, but with Mao and Wei completing the Wood combination, the structure becomes Resource. Hai is not a storage branch; restricting combinations to storage months would incorrectly return to Ren and Direct Officer. Another example has Bing in Yin month, originally Resource, changing to Monthly Rob Wealth when Jia is not revealed but Wu or Xu forms Fire. If the combination's element matches the Day Master, we therefore use Monthly Rob Wealth rather than reverting to the principal qi. The chapter also resolves priority: with Bing in Yin, a Fire combination and revealed Jia still retain Resource without breaking the structure, so revealed stems take precedence. We do not implement the four cardinal branches as a separate exception. Their combination element already matches their principal qi, such as Gui for Zi's Water combination and Ding for Wu's Fire combination, so the same rule naturally leaves the result unchanged. The chapter's concurrent-structure and displacement rules are discussed next.

The same chapter explicitly names concurrent structures in two examples: Xin in Yin month with Bing and Jia revealed forms Direct Wealth, with Direct Officer concurrent; Yi in Shen with Ren and Wu revealed forms Direct Officer, with Resource concurrent. Yin contains principal Jia, intermediate Bing, and residual Wu. For Xin, Jia is Direct Wealth and Bing Direct Officer; when both appear, principal qi takes precedence, but the text retains Officer as a concurrent structure. We show this on the chart because it explains a revealed month-command stem that does not receive the main structure marker. Our criterion is the single influence that previously held the defining position but was displaced or controlled. It is not every revealed, non-peer hidden stem: in the second example, Wu is also revealed and is Direct Wealth, yet the text names only Resource as concurrent and gives Wealth the functional role of supporting Officer. A controlled and displaced influence still counts, as Ren does in that example. An influence of the same element as the main structure is not a second structure; the chapter's cardinal-branch exception treats same-element qi as one substance. The text supplies no three-revealed-stem example establishing a third concurrent structure, so we take the narrower approach, naming at most one and explaining why another has no such label. We display its name and whether it functions as support, protection/transformation, or adversity to the principal structure. It does not receive a second formation assessment, quality ranking, or score: this section of the source concerns retaining the original structure, and its Ten God has already entered that assessment. In our actual-chart sample, about fourteen percent have a concurrent structure.

The chapter's example of Yi born in Shen has Ren revealed as Resource, then Wu revealed as Wealth. Wealth supports Officer while controlling Resource, so Ren can no longer represent the month command and the structure returns to principal Geng, Direct Officer. Two other examples follow the same route: Bing in Shen with Ren and Wu revealed returns to Wealth because Eating God controls Killings and generates Wealth; Bing in Yin with a Fire combination returns to Resource when Ren controls the combined Fire. Thus a combination-derived influence can also be displaced. The source imposes two limits. First, only nonprincipal qi is displaced: principal qi is the month command itself. Second, the result returns to principal qi rather than continuing down the priority list. In the first example, choosing the next revealed stem would select Wu and Direct Wealth, but the text explicitly chooses Officer even though Geng is not revealed. The controlling influence admits three readings because the examples give it additional roles. We adopt the broadest: any controlling year, month, or hour stem qualifies, affecting 16.08% of sampled charts. Requiring the controller also to be hidden in the month is contradicted by Ren in Yin in the third example. Requiring it also to generate principal qi would never trigger in the four storage months, despite the chapter's explicit scope beyond them, so we do not adopt that restriction. The Day Master is excluded as a controller because it defines the Ten Gods reference frame; including it would automatically displace every Wealth structure.

On Selecting the Useful Influence in Mixed Qi explains that the four storage branches contain several hidden influences and that revealed stems and branch combinations identify what to use. In Chen, Xu, Chou, and Wei months, we therefore check both revelation and three-harmony combinations. A combination selects the element stored in that branch, as in Jia born in Chen with Shen and Zi forming Water Resource. A half-combination also qualifies: the source's wording says either Si or You can form Metal, requiring one rather than both. The same passage says revealed Yi can establish Monthly Rob Wealth, so revealed peer qi in mixed-qi months is not skipped in favor of unrevealed principal qi. That specific peer rule occurs only in the mixed-qi chapter and remains restricted to storage months; the broader branch-combination rule is explained separately. The stored element is derived from the three-harmony cycle rather than copied from another table: Chen stores Water in Shen–Zi–Chen, with Gui as its intermediate qi.

The chapter says to use a single revealed influence alone, multiple revealed influences together, and revelation together with combination when both occur. Cooperation that supports the configuration is favorable; opposition that undermines it is not. It explicitly allows two controlling relationships: control of peer qi, illustrated by Monthly Rob Wealth using Officer, and Eating God controlling Seven Killings. We treat these as instances of the next general rule, since the source's explanation identifies which influence is being controlled. In this chapter, presence is recognized by element rather than exact stem: Ren and Gui are both named as Resource. We restrict that element-level recognition to the four storage months; the other eight use exact stems, consistently with structure selection. We do not adopt the chapter's closing claim that an Xu–Chen clash prevents a Resource structure. The following dedicated chapter on storage clashes says such clashes activate rather than destructively control Earth. Where the passages differ, we follow the dedicated treatment and do not let storage-branch clashes break the structure, avoiding contradictory answers on one page.

On Purity and Mixture of the Useful Influence explains that changes produce pure and mixed configurations. Unlike the preceding mixed-qi discussion, it applies across all twelve months; its six examples include Yin, Shen, and Wu. We reduce four explicit judgments to one rule: purity or mixture depends on whether the receiving influence belongs to the favorable or adverse group. Generating a favorable recipient is mutually helpful, as Wealth generating Officer; generating an adverse recipient adds a burden, as Wealth generating Killings. Controlling an adverse recipient is appropriate, as Eating God controlling Killings; controlling a favorable recipient is incompatible, as Hurting Officer controlling Officer. The actor's own category is not decisive: Hurting Officer controlling Officer and Wealth controlling Resource receive the same judgment despite different actor categories. Storage months and the other eight months share this rule while citing their respective chapters. The favorable/adverse distinction follows the text's supportive versus restraining approaches; our adopted reading includes Indirect Resource in the favorable Resource group, as explained separately. This layer evaluates only the multiple useful influences arising from the month command. It does not extend to all Ten Gods, weigh their strength, or override structure formation.

On Rigid Attachment to Structures says to seek the useful influence in the month command first and to consider external structures only if it supplies none: the month is fundamental and external structures secondary. We therefore do not establish labels such as Exclusive Eating God, Day Prosperity Returning to the Hour, Six Yin Facing the Sun, Hour Seven Killings, Punishment Combination, Arching Prosperity or Nobility, Six Yi Rat Nobility, or Combined Prosperity. This follows the source's explicit criticism rather than an omission for convenience. The chapter gives eight contrasts between a correct ordinary reading and an incorrect external label; the next adds two full charts, Ren-Shen/Gui-Chou/Ji-Chou/Jia-Xu and Ji-Wei/Ren-Shen/Wu-Zi/Geng-Shen. Our engine can evaluate eight of the ten and matches every stated ordinary reading. Wu in Jia-Yin month with Geng-Shen hour gives Seven Killings, matching visible Killings under control. Bing in Zi month with Si hour gives Direct Officer with returned Prosperity supporting the self. Gui in winter with revealed Wu seated on Xu gives Established Prosperity in Zi month or Monthly Rob Wealth in Hai month, matching the text's two named possibilities. Yi in Yin month with Bing-Zi hour gives Hurting Officer, corresponding to bright Wood and Fire. The two complete charts give Indirect Wealth generating Officer and Eating God generating Wealth. The remaining Facing the Sun and Hour Seven Killings examples omit the month, supplying only Day Master and hour. Since our method requires the month, they cannot be reconstructed and are explicitly excluded from the all-matched count.

On Differences Between Stems and Branches explains that visible stems are active while branches remain still until brought into use, and that a stem represents one influence while a branch contains several. The same Ten God therefore acts differently when revealed versus hidden. Its examples say that Jia using You Officer has mixed Officer and Killings with visible Geng and Xin, but not merely Shen and You branches; repeated Xin stems count as excessive Officer, repeated You branches do not; revealed Ding harms Officer, while Wu branch alone does not because Ding is still and Ji is also hidden there. The text explicitly generalizes from these examples. In formation assessment, we therefore exclude inactive hidden influences from supporting, adverse, and rescue roles, labeling them Hidden, inactive rather than Absent because they remain visible in the pillar table. The chapter provides one exception: a branch participating in a three-harmony combination, including a half-combination, activates the combination's element. The participants may not have two pillars between them, so the year–hour pair is excluded. This is the same distance limit used for stem combinations. Only the combination element activates; other hidden stems stay inactive. In our sample, nearly eighty percent of charts have a supporting or adverse influence present only as hidden qi. Applying this distinction changes formation judgments in about sixty percent and raises the failure rate from roughly 21% to 40%. Xu Le Wu's commentary additionally says clashes activate branches, but the original passage says activation requires combination and never mentions clashes, so we record but do not adopt that extension. This rule does not remove the defining influence selected from the month command; that belongs to the earlier structure-selection layer.

The chapters on favorable gods breaking structures and adverse gods forming them explicitly reject a universal good/bad classification. Three of the four favorable-god counterexamples concern visible-stem configurations: Eating God with Killings and revealed Wealth, Killings controlled by Eating God with revealed Resource, and strong Wealth generating Officer with revealed Eating God. We require both named conditions to be revealed. The remaining spring-Wood example with strong Fire and an unfavorable Officer depends on climate: the climate chapter supplies the conditions and this chapter supplies the failure judgment, implemented together as described below. The four converse examples, Resource accepting Killings, Wealth accepting Hurting Officer, Officer accepting Owl, and Killings accepting Blade, already follow our generation cycle without additional rules.

On the Order of Generation and Control explains that identical relationships can produce different conclusions when their order changes. Our earlier formation logic checked only the presence and visibility of Ten Gods, so rearranging the same stems produced identical wording. The chapter gives four paired examples: Direct Officer with Wealth and Hurting Officer, Resource damaged by Wealth, Eating God with Wealth and Owl, and Seven Killings with Wealth and Eating God. In each pair the earlier influence is adverse and the later one favorable, whether support, rescue, or the defining Resource itself. Adversity first yields a later resolution; the reverse order does not. We implement this as follows: among the year, month, and hour stems in chronological order, when both adverse and favorable influences are revealed, the later one determines the concluding tendency. Both sides are derived from the existing relational cycle. For structures requiring restraint, we do not include the defining adverse influence itself on the favorable side, because the source's sole such example compares support with adversity, not Killings itself. This layer answers which influence has the final position; it does not change formation, quality, or scores. The source explicitly distinguishes eventual resolution from high status, showing they are separate questions. Two limits remain explicit. The examples concern stems, not branch order. The chapter's later examples also discuss intervening stems: we already implement the combination case, corroborating the separate stem-combination chapter, while the two control cases are treated next. About 23% of sampled charts reveal both sides with an assessable order; in nearly half, the adverse side comes later.

Two later examples in the same chapter isolate the effect of an intervening stem. Bing in Xin-You month with Gui in the year and Ji in the hour retains some quality because intervening Wealth channels Hurting Officer into generating Officer; placing Gui and Ji adjacent instead breaks the structure. Xin in Shen month with Ren in the year, Wu in the month, and Bing Officer in the hour is protected because Wu controls the attacking Ren; rearranging the attackers into adjacency removes that protection. Both original arrangements have the same year–hour separation, so distance alone is not the distinction: the middle stem either mediates generation or controls the attacker. We therefore use three cases: adjacent control acts; separated control fails when the intervening stem mediates or restrains the attacker; separated control with an inactive middle stem is weakened. The last case is not stated here and is explicitly borrowed from the stem-combination chapter's account of distant effects retaining only two or three tenths of their force. This completes the rule that an injured supporting influence immediately breaks the structure. Previously we recognized support bound by combination but not support directly controlled. The criterion is not merely whether a potentially controlling Ten God is revealed, which would affect about forty percent of charts, but whether a particular adjacent stem actually controls it. The same rule narrows two favorable-god counterexamples: simultaneous revelation without effective control does not automatically break the structure. About 8.6% of sampled charts have support removed by adjacent control, increasing the overall failure rate from roughly 41% to 46%. This applies only to stems and excludes the Day Master as either party. Since Wealth is defined as what the Day Master controls, including it would automatically invalidate every structure supported by Wealth.

Zi Ping Zhen Quan first states a general distinction: support Wealth, Officer, Resource, and Eating God; restrain Killings, Hurting Officer, Rob Wealth, and Blade. Our Ten Gods cycle derives a general supporting influence for each structure: what generates its defining influence for supported structures, or what controls it for restrained structures. It also derives protective/transforming and adverse roles. Books III and IV then devote eight chapters to individual structures, dividing each into several configurations and identifying what that particular configuration relies on. The names reveal the differences. Wealth has nine configurations: strong Wealth generating Officer relies on Officer/Killings, normally a protective role, while Wealth nourished by Eating God follows the general support rule. Resource has eight configurations; Resource encountering Wealth relies on the very Wealth normally labeled adverse. Seven Killings using Wealth is similar: Wealth usually reinforces Killings, but in this configuration it removes Resource and preserves Eating God, forming a valued structure. These are not contradictions; the general rule and the configuration-specific rule answer different levels. We display both the general supporter and the influence this chart actually relies on, explicitly saying whether they match. A specific configuration is identified in about 97% of sampled charts, and in 52% of those its relied-upon influence differs from the general one. Established Prosperity and Monthly Rob Wealth are especially clear: lacking their own useful influence, they must borrow Wealth, Officer, Killings, or Eating God from visible stems, so the configuration-level answer always differs. Formation and quality assessments retain their established framework because the eight dedicated chapters already supply their own overrides; applying the same passage again through the general supporter would duplicate it. A further deduction concerns the four restrained structures: the general transforming influence always controls the supporter in the element cycle, making that label misleading. The source supplies examples in Seven Killings fearing Resource's removal of Eating God, Hurting Officer finding Wealth phases adverse in a particular configuration, and Yang Blade disliking control of its restraining influence. Yet other configurations explicitly use Resource for Killings or Wealth for Hurting Officer, so the general rule cannot classify that influence consistently. We therefore do not simply rename it. Family-role cards for the spouse palace, spouse star, hour stem, and year stem, and individual luck-cycle judgments, use the relevant chapter and configuration instead. Yang Blade makes the difference especially visible: the source favors Wealth and Resource and rejects control of the influence restraining the Blade. General roles would instead call Resource adverse, Output transformative, and Wealth irrelevant. Among over eleven thousand family-role positions, about eighteen percent change judgment, affecting at least one position in nearly forty percent of charts. Resource, Hurting Officer, Established Prosperity/Monthly Rob Wealth, and Yang Blade account for most changes; Direct Officer has none. The luck-cycle chapter defines favorable and adverse influences in terms of what the actual natal chart favors, not an abstract structure rule. We had already used the chart-specific supporter while still using the generic adverse influence, mixing sources. Correcting this changes the role of slightly more than one eighth of over twenty-five thousand cycle characters, reverses the favorable/adverse direction of over 2,300, and affects at least one character in nearly one quarter of charts. Yang Blade, Hurting Officer, and Resource account for most changes; Direct Officer again has none. Whenever specific and general roles differ, the card names the relevant chapter and displays both readings rather than silently forcing agreement.

On the Quality of Useful Influences and Structures asks which of the eight structures lacks either high or low examples, then identifies cooperation and strength as the main criteria. Formation and quality are therefore separate: a formed structure can be described as exceptionally distinguished, while Resource using Seven Killings can become isolated and poor when the self and Resource are already too strong. We assess the two axes separately. Strength considers the self, defining influence, and supporter, the same three parties explicitly counted in the text. Cooperation asks whether adversity is combined away, the strongest form; controlled, a lesser form, illustrated by control through Gui being inferior to combination through Ren; or whether support has no useful task, as when a strong self needs no further Resource or strong Resource needs no Killings. Four source judgments yield four broad quality levels: highest, distinguished, high but secondary, and low or ineffective. The source gives qualitative strength terms without numerical thresholds, so our scores borrow the strength model and use measured population baselines. Month-derived defining influences average 40.1% of chart strength, while supporters average only 14.6%; one common baseline would be inappropriate. The chapter itself warns that one character can carry immense force or a small detail spoil the whole, so these levels remain broad approximations. We explicitly omit two examples requiring methods we do not support: a shared month root expressed through Twelve Growth Phases, where Yin-stem conventions differ, and the rooting strength of an individual stem combining away adversity, since we assess roots only for the Day Master.

On Matching the Useful Influence to Climate says that the month-command influence remains primary while climate must also be considered. We therefore treat season as a second axis: whether this particular structure expresses refinement in its season. It does not change structure selection, quality rank, individual luck-cycle judgments, or family-role readings. The eleven source statements concern degrees of distinction and refinement rather than formation itself, using phrases such as not necessarily distinguished, a hundredfold more refined, modest wealth without much distinction, and distinguished but less refined. We implement ten. The remaining Metal–Water Hurting Officer exception is already handled at the formation layer under the Book I rule for non-Metal–Water configurations encountering Officer, so it is not counted twice. Only one climate case affects formation: spring Wood with Fire is unfavorable to Officer. The actual failure judgment comes from On Favorable Gods Breaking Structures, which requires strong Fire, not merely any Fire. We use that chapter's stricter condition and Direct Officer alone, not the entire Officer/Killings category. The passages have different scopes, which we disclose: Book I grants the Metal–Water exception without asking the season, whereas the climate explanation invokes cold weather. About twenty percent of Metal Day Master Hurting Officer charts in our sample are outside winter and still receive the exception although the climate rationale does not apply. We do not silently add a seasonal condition absent from Book I. The chapter ends by saying that many further cases cannot all be described. We implement only the Day Master–season combinations it explicitly states, without extending its sentence patterns into new rules. Qiong Tong Bao Jian offers another climate tradition, with a complete ten-Day-Master by twelve-month table and climate as the primary basis for choosing useful influences. It often gives different answers. We follow Zi Ping Zhen Quan here and do not mix the two approaches.

On Hidden Favorable and Adverse Influences Becoming Clear in Luck Cycles explains how previously still branch influences become active. We follow both routes described: a cycle stem exactly matching a natal hidden stem, and a cycle branch forming a three-harmony combination with a natal branch. The text also ranks positions: the year is strongest, the day next, and the hour slower and less urgent. This layer does not itself judge fortune or alter natal formation and quality. The source explicitly says the natal assessment remains fixed while an activated influence can operate within that five-year period, and every activation card prints that boundary. Month-command influences are excluded here because the passage assigns them to the preceding chapter on cycles completing or changing structures, which our separate layer handles. The source's five years refers to stem and branch halves of a luck decade; our interface still uses one ten-year step without splitting it, a limitation we disclose. The chapter also independently supports our root classification: for Jia, Yin, Hai, Wei, and Mao are all roots, corresponding to Prosperity, Birth, Storage, and Blade. Those categories had already been derived from Prosperity positions and three-harmony groups, independently of this passage.

On Luck Cycles says that reading cycles and reading the natal chart use the same method: relate each cycle character to the favorable and adverse influences of the whole birth chart. Since our natal method begins with month-command structure, each ten-year cycle and annual influence is assessed by what it does to that chart's support and adversity. Supporting the helper or restraining adversity is favorable; damaging support or strengthening adversity is unfavorable. We derive the sequence from those two definitions and reconstruct the source's fifteen examples rather than introduce another lookup table. Pure Day Master balancing is retained only where the source explicitly permits it. Two of its seven favorable examples specify a weak self and favor support, so Resource and peer cycles can first support a weaker Day Master; otherwise structure governs. The distinction matters: Resource is unfavorable when it removes Eating God controlling Killings, but favorable in the explicitly weak-self version. Stem and branch receive separate judgments, following the text's separate treatments. A cycle stem combining with a natal stem is assessed by the combination, but natal distance limits are not transferred to cycles: the distance chapter concerns positions within the Four Pillars, and the cycle chapter imposes no such limit. Unsupported cases are stated on the same card: cycle–natal branch clashes with their separate urgency and severity conditions, cycle branch combinations, and cases such as Wealth without revealed Eating God encountering Killings. That last example depends on distinguishing Officer from Killings, which our five-category grouping cannot express, so we disclose the limit rather than force a judgment.

The general cycle chapter explicitly refers detailed rules to the chapters for each structure. Those eight chapters contain 44 configuration-specific statements, of which we implement the conditions our engine can assess. They can reverse the general direction rather than merely add detail. Strong Wealth generating Officer favors a strong self and Resource, though the general cycle might treat Resource as feeding peers that attack Wealth. Direct Officer accompanied by Killings can tolerate Output, normally its adverse category. Resource encountering Wealth favors Rob Wealth. Yang Blade using deeply rooted Officer can favor Resource and peers, normally classified as adversity and the defining influence itself. Whenever a specific rule applies, the cycle card prints its configuration, chapter, and passage. The formation card still shows the general roles, and we do not conceal disagreements between the two levels. Priority is: support a weak Day Master where the source explicitly says so; then apply a configuration-specific rule; then fall back to the general rule. About 63% of sampled luck steps belong to a configuration with such a rule, and about 17% of those change judgment, with all six possible direction changes represented. This is not a blanket blessing or condemnation of a Ten God. We also implement fifteen conditional statements whose premises concern Day Master strength, strength of a Ten Gods category, or revelation in a stem. Strength uses the existing five-level scale and the measured average share for that category's role in the structure, the same baseline as the three-party quality assessment. These conditions can narrow an earlier statement: Resource using Output initially favors Wealth, but the next sentence reverses that when Resource is weak; Direct Officer wearing Resource initially favors Wealth phases, but heavy Officer with a weak self instead favors strengthening the self and does not require Wealth. The card prints the qualifying passage, the chart's matching conditions, and the category whose earlier judgment is narrowed. About 7.8% of sampled charts activate such a condition, changing about two percent of luck steps. Unimplemented statements are listed individually: those depending on the number of repeated influences, Officer versus Killings within our grouped category, finer configurations we do not distinguish, rooting depth, or ambiguous wording about supporting Eating God or Killings that could mean either that category's own cycle or a cycle that generates it. We do not choose between those unstated meanings.

On Luck Cycles Completing or Changing Structures says that although the natal structure is established by the birth chart, cycles can complete or transform it, with consequences distinct from ordinary favorable/adverse roles. We insert the cycle stem and branch into the existing month-command selection sequence and compare the before-and-after structures. A changed name is a transformation. An unchanged name whose defining influence becomes revealed, or whose branch combination appears or becomes complete, is completion. This reuses the same selection rules and cannot contradict the chart's selection table. About nine percent of sampled luck steps change structure and six percent complete one; roughly one third of charts have at least one change across their cycles. We report the structural change without assigning a new fortune verdict. Unlike the preceding chapter's favorable/unfavorable conclusions, this chapter names completion and transformation and explicitly gives counterexamples of unwelcome completion and acceptable transformation. It does not instruct readers to recalculate the entire cycle judgment under the new structure, so we do not invent that rule. Cards state that their favorable/adverse assessment still uses the natal structure. Two limits are disclosed. The source's unwelcome-completion example, Ren in Wu month with cycle Ji and natal Jia/Yi, is already resolved by our displacement rule: Jia controls the newly revealed intermediate Ji, so the structure never completes. The chapters thereby corroborate each other. Its third transformation example changes Established Prosperity to Hurting Officer through a branch combination. Our selection prioritizes Prosperity/Blade before the hidden-stem sequence, so that route is unavailable. We identify this methodological difference and measure its scope at about one percent of luck steps.

On the Importance of the Supporting Influence defines it as the particular character on which the whole structure relies, not a fixed position in a table. Its five examples place that support differently. The chapter says damage to support is more serious than damage to the defining influence and immediately breaks the structure. We therefore distinguish combining away adversity, which preserves the structure and can make the combining stem its supporter, from combining away support, which breaks it. We assess binding and loss of function, not transformation into a different element, and use only the year, month, and hour stems, excluding the Day Master. Two stems competing for one partner do not complete a combination; we describe the competition without inventing a score or verdict. The positional condition for genuine competition is explained next.

On the Nature of Stem Combinations states a general rule in both directions. For Jia, Xin Officer bound by Bing is no longer available as Officer; Gui Resource bound by Wu, Ji Wealth bound by another Jia, and Bing Eating God bound by Xin likewise lose their favorable function. Conversely, Geng Killings bound by Yi no longer attacks the self, with analogous adverse examples. Since the four favorable examples concern the month-command influence itself, we add a third assessment alongside support and adversity: if a defining stem revealed in the year, month, or hour is fully bound away, the structure fails. A weak half-combination does not qualify. The source says the influence loses its function, not that a different structure should be selected, so the structure name remains. This also narrows the rescue rule: combining away adversity preserves the structure only if its defining influence remains available. In the three rescue examples, a third stem performs the combination. If the defining influence itself is bound in doing so, we do not count a rescue or call it its own supporter. The chapter introduces the five elemental transformations, derived from Earth and the generation sequence, but its eight examples all concern binding rather than transformation, matching our implementation. It also lists Owl among adverse influences, unlike the useful-influence chapter's grouping of Resource as favorable. We follow the latter, which has a Resource chapter but no separate Owl structure chapter, and explicitly record the disagreement.

The chapter extends binding to traditional family symbolism, saying a wife's Wealth star or husband's Officer star combined by another stem is not close to the native. Our relationship section therefore asks not only how strong the spouse star is but whether it remains available to the Day Master. The source explicitly gives both year-Ji/month-Jia and year-Jia/month-Ji arrangements and says the Day Master has no share in the bound Wealth. This distinguishes a spouse star bound by another stem from the Day Master combining with its own spouse star, and independently supports our exclusion of the day stem from this mechanism. We apply four limits. First, we use Direct Wealth for the wife and Direct Officer for the husband, excluding Indirect Wealth and Killings; this direct/indirect distinction comes from broader Zi Ping convention, not the quoted sentence alone. Second, only adjacent full combinations count; the distant year–hour half-combination retains too little force to remove the star, though it is still noted. Third, if multiple spouse stars exist and only one is bound, the source's complete-removal examples do not establish a judgment, so we make none. Fourth, the source says only reduced closeness, not marriage failure or a good/bad outcome, and we do not extend it or change structure formation. Elemental transformation and branch combinations are also outside this assessment.

On Stem Combinations That Do and Do Not Combine supplies two rules we use. An intervening stem controlling either partner can prevent the combination, as Geng between Jia and Ji prevents Jia from reaching Ji. A year–hour pairing is too distant for full combination and retains only a weak half-combination, described as two or three tenths of the force. Since our partners are limited to year, month, and hour stems, source examples fix all three relationships: year–month is adjacent; month–hour is also treated as adjacent, as shown by the Resource combination in the supporting-influence chapter even though the intervening Day Master would control one partner; year–hour is distant. Thus the Day Master is not the intervening third party in this mechanism. Half-combinations remain displayed but do not have enough force to turn formation into failure or vice versa. Two further rules follow automatically: each stem participates in at most one pair, allowing one to combine while another remains, and the Day Master's own combination is excluded. Competition is narrowed by the source's statement that a distant rival does not create rivalry. Grand Commandant Gao's Geng-Wu/Yi-You/Jia-Zi/Yi-Hai chart demonstrates that exception. These rules apply only to stem combinations, not branch combinations; the chapter explicitly rejects treating relationships such as Chen–You or Mao–Xu as though they were stem combinations removing Officer.

On Stems Being Neither Necessarily Strong in Season nor Weak Out of Season quotes the familiar seasonal rule and calls its rigid application inadequate. Our seasonal statement therefore describes season only, while overall strength uses all four pillars. We combine them through the chapter's four possibilities: in season and strong, in season but not strong, out of season but not weak, and out of season and weak. The two counterintuitive cases make up about seventeen percent of actual charts; presenting season and strength independently could otherwise seem contradictory. Root grades follow the chapter's distinction between strong Birth/Prosperity/Peak roots and light Storage/residual roots, based on the Day Master's relation to a branch rather than the seasonal schedule's principal/intermediate/residual segments. Eleven of 33 entries differ; Jia hidden as intermediate qi in Hai is nevertheless at its Birth position. Root presence generally follows hidden-stem presence, as the source excludes Yi in Xu and Ding in Chou because those branches contain no Wood or Fire. The same chapter also grants light roots to Yin stems at their own Birth positions, discussed next. We do not turn its three comparisons between visible peer stems and branch roots into numerical weights: satisfying all three would require one branch to exceed a stem's weight by more than thirteenfold, while the same work makes revealed stems decisive in structure and support. We retain the chapter's grades but use governing seasonal days for weights, explicitly acknowledging that the two measures are not interchangeable.

The Twelve Growth Phases shown in the pillar table follow On Yin and Yang Birth and Death: Yang gathers and advances, so its phases move forward; Yin disperses and advances by retreat, so its phases move backward. Where Yang is born, Yin dies, and vice versa. Thus Jia begins at Hai and dies at Wu, while Yi begins at Wu and dies at Hai. We do not adopt the alternative school in which Yin and Yang share forward-moving Birth positions, because it would discard that explicit principle. Our table is derived from the ten stems' Prosperity positions, not copied: Yang Birth is three places before Prosperity, and Yin Birth is the corresponding Yang stem's Death position. Every entry matches the San Ming Tong Hui mnemonic. The chapter also distinguishes Yin roots: Yin Birth has limited but real strength, while Yin Storage is ineffective. Yi-Wu, Ding-You, Ji-You, Xin-Zi, and Gui-Mao therefore count as light roots, at the residual-qi grade specified in the strength chapter. Yi-Xu, Ding-Chou, Xin-Chen, and Gui-Wei do not; those branches already lack a hidden stem of the same element. Ji-Chou is the one exception because Chou's principal qi is Ji itself, while the opening chapter assigns Earth to all four seasonal transitions. We follow that earlier principle rather than declare a stem unrooted in its own principal seasonal position, and disclose the exception. The two chapters' exclusions concern different things: Xu and Chou are Yi's and Ding's Storage positions; Wu and You are their Birth positions. Our earlier reading considered only the later chapter and wrongly treated the statements as contradictory, omitting Yin Birth roots. About fifteen percent of actual charts contain such a root, and about 2.5% had previously been labeled rootless across all four branches. These roots occupy no segment in the seasonal qi schedule, so only the label and interpretation change; scores remain identical.

On Errors Repeated in Contemporary Sayings criticizes making support of weakness and restraint of strength the sole rule without considering favorable and adverse structural roles. Element balancing is not an arithmetic error; treating it as the only answer is the problem. The two axes ask different questions: whether the Day Master has enough strength, and what the structure requires. They can disagree, and do in about seventy percent of actual charts. About 38% place the structure's supporter in the balancing method's adverse elements, while about 52% place structural adversity among balancing-favorable elements. We show both and follow the source's priority: support a weak self first, as explicitly stated in two cycle examples where that support would otherwise be structurally adverse; otherwise use the structure. This was already the cycle method and is now shared by the favorable-elements card, keeping both displays consistent. The two balancing element sets themselves are unchanged because they also feed date selection, compatibility, and other services. The source rejects treating balancing as universal, not its calculation itself.

The summary's three extra stem–branch pairs do not enter strength, structure selection, formation, quality, or luck-cycle judgments. Because we display them, we explain their calculations. The Conception Origin follows Yuan Hai Zi Ping, Book I, Calculating the Conception Origin. Its example starts from Ji-Si month, advances to the fourth branch position Shen, steps back to Wei, places Ji there, and advances to Geng-Shen. This is the familiar month stem plus one and month branch plus three, implemented through the source's two steps. The Life Palace follows San Ming Tong Hui, Book II, On the Seated Life Palace: place the first month at Zi and count months backward through the branches; place the birth hour on the resulting month position and count hours forward until Mao, which identifies the palace. Its Jia-Zi-year, third-month, Xu-hour example reaches Mao, then obtains Ding-Mao by deriving the palace stem from the birth-year stem through the same Five Tigers rule used for month stems. The Body Palace mnemonic reverses each operation: count months forward from Zi, hours backward, and stop at You. We have not found it in the cited Yuan Hai Zi Ping or San Ming Tong Hui chapters, so we label it a commonly transmitted mnemonic rather than give it a false book citation. Its rule is to place the first month at Zi, advance to the birth month, place the birth hour there, and count backward to You. These Zi Ping Life and Body Palaces are two-character stem–branch pairs, not the identically named palaces on a Zi Wei chart; the two systems are not interchangeable.

Common Life Palace formulas add month and hour indices, then subtract from fourteen or twenty-six; Body Palace formulas add them and reduce modulo twelve. Their hour indices start at different branches, Yin in one and Zi in the other, which can look like unrelated rules. The source construction explains the apparent discrepancy: both rotate a heavenly plate over a fixed twelve-branch earthly plate. Beginning the first month at Zi, place the birth month, then place the birth-hour branch there and count through the hours. Life Palace counts months backward and hours forward, locating Mao; Body Palace counts months forward and hours backward, locating You. The constructions are symmetrical opposites. The familiar formulas are algebraic simplifications that shift the month and hour origins. We implement the original construction, retain the common formulas as an independent test, and compare with a third-party chart package; all three agree chart by chart. Mao and You symbolize sunrise in the east and sunset in the west.

San Ming Tong Hui's monthly table refers to the birth month. We interpret it as the Four Pillars month branch, with the first month beginning at Start of Spring, matching common Hong Kong and Taiwan calculators. Another school advances the month at the principal solar term, placing the first interval from Great Cold to Rain Water and the next from Rain Water to Spring Equinox. It reads the accompanying heavenly-wheel/earthly-wheel imagery as the Liu Ren month-general method, which changes at principal terms. The methods agree between the opening and principal terms, then differ by one palace afterward; about half of actual births fall in the differing half, explaining many one-palace discrepancies between calculators. We retain the opening-term method for three reasons: the work gives a complete literal month table, while the wheel phrase is imagery; its example says only third month and never mentions a principal term; and these fields are display-only, so changing them would alter no judgments while diverging from common calculators. San Ming Tong Hui's separate Conception Origin chapter also proposes searching roughly three hundred days before birth for a day with the same stem–branch pair. That seeks a conception date rather than a month pair and cannot be derived from the Four Pillars alone. We explicitly do not adopt it or pretend the two books give the same method.

On Matching Palace Positions and Useful Influences to Family Relations uses two axes. The year, month, day, and hour positions correspond to ancestors, parents, spouse, and children. The star axis is derived through relationships rather than a bare list: Direct Resource represents the mother as what generates the self; Indirect Wealth represents the father as the mother's proper husband, the stem for which the mother's stem is Direct Wealth; Direct Wealth represents the wife; Officer/Killings represents children as what Wealth generates; and Friend represents siblings. We calculate these assignments from the stated relationships and verify all ten stems rather than copy a table. The chapter's third step is decisive: whether those relationships help or hinder depends on their favorable or adverse roles in this specific structure. Neither position nor star alone supplies the judgment.

On Wife and Children says that a spouse palace containing Wealth or Officer can be unfavorable, while Hurting Officer or Blade can be helpful, depending on the month-command structure. It gives five counterexamples to blanket rules: Wealth in the spouse palace can harm Resource; Officer can trouble Hurting Officer; Hurting Officer can generate Wealth or control Killings; and Blade can support an otherwise formed chart with a very weak self. The first four require no separate rules: the day branch's Ten Gods category already has a supporting, protective/transforming, or adverse role in the structure. The fifth invokes the same weak-self priority used in the cycle chapter, providing independent support for that exception. We previously assessed the spouse palace by whether its element was favorable under Day Master balancing, but this chapter explicitly uses structure. The two axes differ in direction for about 45% of actual charts, and the corrected structural answer differs from the popular blanket rule for about 21%. Whenever they disagree, the card says so instead of leaving two unexplained conclusions on the page. If the day branch is Resource with no defined structural role, neither the popular four-category statement nor the structural rule supplies an answer. We make no judgment in that case, about sixteen percent of charts.

The same chapter says to examine both the spouse palace and the visible Wealth star. If Wealth helps form the structure, such as Officer with revealed Wealth, abundant Resource meeting Wealth, or Output using Wealth, it signifies support even if the palace is unhelpful. If it damages the structure, such as weak Resource with revealed Wealth or Output with Killings further fed by Wealth, the warning remains even with a helpful palace. The text explicitly gives this star-level judgment priority. Four of its five examples follow our existing roles; abundant Resource meeting Wealth initially did not, because the generic cycle labels Wealth adverse to Resource regardless of quantity. We initially left that case unjudged rather than borrow the unrelated Day Master balancing axis. Implementing Book III's Resource chapter supplied the appropriate structural measure: the defining Resource's strength, already used in the quality card. Heavy Resource encountering Wealth is therefore supportive; light Resource is vulnerable. The text gives only those extremes, so the middle range remains unjudged. The card marks the change of assessment axis because the general roles table still calls Wealth adverse. We also record the source's statements about multiple direct and indirect Wealth stars and about a helpful spouse indication accompanied by clash or punishment to the spouse palace. This chapter's wife-star category includes Indirect Wealth, unlike the separate binding rule, which uses Direct Wealth for wife and Direct Officer for husband. Each display states its scope. The chapter does not supply an equivalent husband-star passage; we explicitly supplement it with the same work's statement that Officer represents the husband. We do not generalize its multiple-Wealth wording to women's charts. Mixed Officer and Killings is a separate topic already diagnosed in Direct Officer structures without a formation verdict; its relationship-specific treatment remains unimplemented.

For children, the chapter says to examine the hour position and the visible child-related influence using reasoning similar to the spouse reading. It then fixes the Growth Phase reference to the Yang stem of the element controlling the Day Master, regardless of the native's stem polarity or sex: for either Jia or Yi Wood, Geng represents sons and Xin daughters, rather than mechanically equating Officer and Killings with those roles. We first locate the hour branch in that Yang child star's Twelve Growth Phases and consult the traditional Birth-and-Bathing verse, then assess whether the hour stem is useful to the structure. The text defines usefulness through examples such as Wealth structure with Eating God in the hour and Officer structure with Wealth in the hour. Combining the two axes yields four historical judgments: useful hour stem with Death/Extinction suggests distinguished but few children; usefulness with Birth/Prosperity suggests abundance; an adverse hour stem despite Birth/Prosperity is unfavorable; and adversity with Death/Extinction gives no hopeful indication in the source's framework. The source names only the thriving and depleted groups. Five phases, Bathing, Decline, Sickness, Embryo, and Nurture, belong to neither specified set, and an hour stem with no structural role is neither explicitly useful nor adverse. We do not fill those gaps, so about two thirds of charts receive none of the four judgments, a coverage limit printed on the chart. The verse's middle-decan qualification is also omitted because its method is unspecified. The chapter itself distinguishes claimed reliability: spouse, children, and parents are closer to the native, while ancestors and siblings are described as less reliable. For the latter, we show only positions and stars. We also disclose a difference from our Ten Gods glossary: that glossary follows the common convention of Officer/Killings for children in men's charts and Output in women's, whereas this chapter uses the controlling element for both, differentiating sons and daughters by polarity.

On Symbolic Stars Being Unrelated to Structure argues that auspicious or inauspicious star labels cannot perform elemental generation or control and therefore cannot determine structural success or rank. Our selection, formation, quality, and support layers read neither symbolic stars nor Na Yin. Na Yin, Growth Phases, and Void entries remain chart data, with that limit explicitly stated. Our sample supports the distinction within this engine: about 45% of charts contain Heavenly Nobleman, yet their structure-failure rate is 45.6%, versus 46.0% without it, a difference below half a percentage point. The source does not dismiss all symbolic-star use. It allows supplementary enhancement, while noting that an already successful Wealth/Officer structure needs no such label, and rescue from danger through the two Virtues. It nevertheless says these do not determine the structure's rank. We use symbolic stars only in timing-related annual and date-selection work, not as an overriding answer to structural quality on the same page.

The chapter clarifies three expressions important when reading older texts. The phrase about Direct Wealth obtaining wounded nobility refers to Hurting Officer, which generates Wealth, not a Nobleman star. Obtaining prosperity and then withdrawing from office refers to obtaining Officer, not the Prosperity position, which would make the surrounding passage incoherent. The phrase about many noble influences in a woman's chart refers to repeated Officer, traditionally the husband symbol, rather than multiple celestial Noblemen. We follow those lexical readings when citing the passages. For the third, we adopt the word explanation without reproducing the source's degrading personal verdict or turning a philological example into a rule about women. Mixed Officer and Killings is a separate topic: Direct Officer structure cards diagnose mixture and clarification without changing formation, while the relationship-specific question remains unimplemented. Using this sentence to settle that other question would impose a stance the passage does not establish.

On Adopting or Discarding External Structures defines them as expedients when the month command supplies no useful influence, not an equal alternative to month-based selection. It explicitly rejects seeking one when the month already supplies a defining influence. Our engine has always selected from the month and has never established external labels such as elemental images, Wealth-by-clash, Prosperity-by-combination, Punishment Combination, Remote Reception, Well Enclosure, or Facing the Sun. The phrase no month-command use has a specific scope: spring Wood, winter Water, or Earth in seasonal Earth months, where the month and Day Master share an element and produce peer qi. These correspond to Established Prosperity, Yang Blade, and Monthly Rob Wealth, about 21% of actual charts. The source then directs attention to revealed Wealth, Officer, and Killings in the year, month, and hour stems; our structure card identifies them. It also warns that a broken useful influence is not the same as having no month-command influence. Our selection layer does not read the later formation verdict, so a broken chart retains its original structure. The general generation cycle previously recognized only one of the three alternative uses given for these peer-based structures. The dedicated Book IV chapters on Established Prosperity/Monthly Rob Wealth and Yang Blade now implement their specific methods, so all three have a dedicated treatment and no longer display the earlier unimplemented notice.

On Established Prosperity and Monthly Rob Wealth says these peer-based structures must borrow a useful influence through revealed stems and branch combinations. They have no separate defining Ten God from the month: visible Officer, Wealth, Killings, or Output supplies the working method. We therefore identify what is borrowed and use the same existing structure-use rules, rather than create a second table. The source's four discussions align with this: using Officer requires Wealth or Resource support and rejects revealed Output; using Wealth requires Output to mediate between month-command peers and Wealth; using Killings requires control by Output; and using Output without Wealth or Officer drains the excessive self. In that last case, peer strength is already built into the month-based structure, so external support is unnecessary. The source especially praises spring Wood and autumn Metal; we display that distinction without equating rank with formation. If Officer and Killings both appear, the text requires clarification through combination or control that removes Killings and retains Officer; competing Officers use the same mechanism. We change formation only where the text explicitly says formation or failure, not where it merely says lower rank or limited prosperity. One fallback permits Wealth without revealed Output if a single unmixed Wealth stem has many branch roots; we do not assess root depth and therefore explain that only part of the condition can be evaluated. Established Prosperity and Monthly Rob Wealth together make up about sixteen percent of sampled charts, with Wealth-use configurations about 35% of that group. Implementing this chapter changes formation in roughly six percent of all charts. Yang Blade shares the peer-based starting point but has its own chapter, discussed next.

On Yang Blade says the Blade should be restrained by Officer or Killings, with Wealth and Resource supporting that arrangement. It explains why this reverses the usual treatment of Killings: here Killings is needed to control the Blade, so Wealth and Resource are welcome and control of Killings is not. The relied-upon influence is therefore Officer/Killings, not the Blade being restrained. Wealth generates it, Resource protects it, and Output controls it. Reading the existing generation cycle from that position reconstructs the formation rule of revealed Officer/Killings and Wealth/Resource without Hurting Officer, rather than requiring another arbitrary table. Another apparently special rule follows from stem arithmetic: revealed Rob Wealth does not obstruct a Yang Blade structure using Direct Officer, but can bind Seven Killings. For a Yang Day Master, Rob Wealth and Killings are always five stem positions apart and combine; Rob Wealth and Direct Officer are six apart and cannot. Once bound, Killings ceases to restrain the Blade. The source's exceptions allowing Output, through Resource protection, reducing excessively strong Killings, or clarifying mixed Officer/Killings, also follow the combination relationships: Indirect Resource can bind Hurting Officer, and Eating God can bind Direct Officer while leaving Killings. We disclose disagreement with the general-role framework still shown in other chart sections: the general Yang Blade roles identify Officer/Killings as support and Resource as adversity, whereas this dedicated formation chapter reverses the Resource and Output directions. We display the source of each assessment rather than silently unify them. Root-depth conditions and the separate cycle chapter's unimplemented portions are also identified. Yang Blade accounts for about 4.3% of charts, and this chapter changes formation in roughly 53% of that group, in both directions: Resource-supported cases can improve, while Output-damaged cases can fail.

Zi Ping Zhen Quan, ‘Direct Officer’, says: ‘If punishments, clashes, breaks and harms are unwelcome, what generates and protects it is welcome.’ Wealth generates Officer, Resource protects it, and Hurting Officer controls it. These match the supporting, protective and adverse roles derived from our Ten Gods generating cycle, making Direct Officer the most straightforward of the eight structures for the general rule. This chapter completes that rule in three ways. First, Wealth and Resource can interfere with each other: ‘When both are revealed, great distinction depends on their not obstructing each other.’ Having both is genuine support only when they neither combine with nor control each other. One example has adjacent Wealth and Resource combining as Ding–Ren, leaving ‘a solitary Officer without support’, whose official rank therefore does not exceed the seventh grade. Another has a character between them: ‘Water and Earth do not interfere’, permitting great distinction. That intervening character is the Day Stem. This conflicts with our stem-combination distance rule, taken from ‘Stems That Combine and Do Not Combine’, where the Day Stem does not count as a separator. Each chapter supplies its own explicit example, so we follow the combination chapter for combinations and this chapter for control, marking the distinction in both places. Here the separation always works: Wealth is, by definition, what the Day Master controls, and the Day Stem always separates the Month and Hour pillars. Wealth therefore cannot control Resource across the Day Pillar. Interfering control is possible only between the adjacent Year and Month pillars, as chart checks confirm. Second, mixed Officer and Seven Killings need clarification: ‘When Killings is mixed in, clearing the mixture is valued.’ The example combines Killings away, retaining Officer. Our general cycle groups both as Officer/Killings, making Seven Killings invisible as a separate issue for Direct Officer; this layer was previously missing entirely. However, the chapter praises clearing the mixture without saying an uncleared mixture necessarily breaks the structure. We therefore display the mixture and its resolution as diagnostics without changing formation or failure. Its example uses branches—You as Officer and a revealed Year Geng as Killings—whereas ‘Different Preferences in Stems and Branches’ explicitly excludes Shen and You from this treatment. We follow the latter and count only revealed stem Killings. Third, a supporting role can undermine the solution: ‘When a Direct Officer structure reveals Hurting Officer and uses Resource, Wealth becomes unwelcome: it removes Resource before generating Officer and instead protects Hurting Officer.’ If Wealth can control the Resource restraining Hurting Officer, it removes the rescuer and is too occupied to generate Officer. This is the chapter’s only explicit reference to breaking the structure—‘Would revealing Ren not break it?’—and thus our only rule here that changes formation or failure. The text immediately gives a rescue: combine Wealth away while another Resource remains, ‘Ding combines Ren to remove Wealth; Bing restrains Hurting Officer to clear Officer’. We apply the same condition. Wealth’s role here contradicts the general cycle, where it supports Officer. Other panels still use that cycle; we do not silently reconcile the two, and label the difference. In chart checks, Direct Officer accounts for about 10% of charts; about 43% of these encounter Hurting Officer and about 38% mix in Killings. The one conclusion-changing rule is rare, around one in a thousand, because the separation rule restricts it to adjacent Year–Month positions. We document, but do not evaluate, the chapter on Direct Officer luck cycles.

Zi Ping Zhen Quan, ‘Wealth’, opens: ‘Wealth is what I control, something at my disposal; its ability to generate Officer makes it desirable.’ It then lists seven favorable configurations: strong Wealth generating Officer; Wealth using Eating God’s generation; Wealth accompanied by Resource; Eating God and Resource used together; Wealth using Hurting Officer; Wealth accompanied by Seven Killings; and Wealth using Killings and Resource. Wealth is the most common structure in chart checks, about 20%, roughly twice the share of Direct Officer, so this chapter covers more ground than the preceding ones. It adds three distinctions the general Ten Gods cycle cannot make. First, the cycle groups Eating God and Hurting Officer together, while the first configuration depends precisely on separating them. Strong Wealth generating Officer requires ‘a strong self, no revealed Hurting Officer and no mixed Seven Killings’; Hurting Officer is disruptive, yet the very next favorable configuration is Wealth using Eating God. Within one category, one member helps and the other harms. Second, revealed Seven Killings: ‘Formation, Failure and Rescue of the Useful God’ gives Wealth’s failure conditions as ‘light Wealth with heavy Peers’ and ‘Wealth revealing Seven Killings’. The cycle recognizes only Peers as adverse to Wealth, so it handles the first and misses the second entirely. This chapter supplies three resolutions: bind Killings through a stem combination, restrain it through Output, or channel it through Resource toward the Day Master. We therefore mark failure when active Seven Killings has none of these three resolutions; any one prevents this particular failure. Third, mutual interference matters: Wealth controls Resource—‘Wealth and Resource should not stand together … Yi and Ji cannot accommodate each other; even with advantages, only modest wealth results’—and Resource controls Eating God—‘Eating God and Resource must not interfere’. If the Month Command also contains Officer, removing Eating God can instead protect Officer. These use the same mechanism as the Direct Officer chapter, including the exemption when the Day Stem separates them. Only two rules override formation or failure: unresolved Seven Killings, and ‘When Officer is revealed and the self is weak, the structure breaks’, the chapter’s only failure statement explicitly naming the structure. Statements such as ‘only modest wealth’, ‘reduced blessings’, ‘instead unfavorable’ and ‘neither distinction nor wealth’ concern degree, not formation. We display them as diagnostics and do not change either the conclusion or the separate structure-quality grade governed by another chapter. ‘Hidden Officer’ simply means Officer contained in the Month Command without a revealed stem, our existing ‘hidden in a branch and inactive’ tier. Other panels—the supporting/adverse roles, three strengths in the quality panel, individual luck-cycle judgments and family relationships—still use the cycle: Output supports Wealth, Officer/Killings protects it, and Peers oppose it. This chapter differs over Hurting Officer and Seven Killings; we label the disagreement rather than silently resolve it. About 34% of Wealth structures in chart checks contain Seven Killings. Adding this chapter raised the overall failed-structure rate from 46.6% to 48.9%. We document but do not evaluate the Wealth luck-cycle chapter: it contradicts the cycle in several places, and even the original annotations leave three questions unanswered.

Zi Ping Zhen Quan, ‘Resource’, opens: ‘Resource is valued for generating the self; Direct and Indirect are both favorable structures.’ We therefore treat both as one structure. The seven configuration names come from the following luck-cycle chapter: Resource using Officer; Officer with Output; Resource using Output; Resource using Seven Killings; Killings with Output; Resource encountering Wealth; and Officer and Killings both revealed in a Resource structure. ‘Formation, Failure and Rescue’ gives four formation clauses and two failure clauses for Resource. Our general cycle—Officer/Killings supports Resource, Peers protect it, Wealth opposes it—answers only two of the six. First, Output is absent from all three roles, although two favorable configurations depend on it: Resource using Output ‘to release the self as expressive refinement’, and Killings used alongside Output. Second, Wealth is always adverse in the cycle, yet the text explicitly permits ‘abundant Resource and a strong self, with revealed Wealth restraining the excess’. Third, Seven Killings always helps Resource in the cycle, while Volume One explicitly names ‘a strong self and heavy Resource revealing Killings’ as failure. We therefore apply three rules: (1) revealed Killings with both a strong Day Master and strong Resource fails if Output neither restrains Killings nor releases the self, and Killings is not bound—the chapter says ‘if both self and Resource are heavy and Seven Killings is used, isolation or poverty follows’; (2) light Resource with revealed Wealth and no Peer rescue fails, the condition called ‘pursuing Wealth and breaking Resource’; (3) heavy Resource, a strong self and revealed Wealth forms the structure. This was the only rule among these five structures that moved toward formation; allowing overrides only toward failure would omit it altogether. We measure Resource strength with the existing structure-quality panel’s structure-god strength, since Resource is the structure god here. A reading of ‘heavy Resource’ therefore agrees with the strong side of that panel. Of three similarly worded closing judgments, only two enter evaluation: ‘isolation or poverty’ and ‘a poor and lowly configuration’ match explicit failure clauses in Volume One. ‘Shallow Resource and a light self using repeated Output produce cold poverty’ has no matching clause there, so remains diagnostic. Inclusion depends on agreement between passages, not rhetorical severity. The Wealth remedy also has a root-depth condition on which two source editions directly disagree: one says Wealth should not have deep roots, the other says it should. Root depth is outside our formation assessment, so neither reading is evaluated; the chart states this. Other panels—supporting/adverse roles, the three strengths and individual luck-cycle judgments—still use the general cycle, which differs here over Output and Wealth. We label the distinction. The source implementation notes report Resource at about 19% of charts and 112 changed charts, with 76 transitions toward formation and 51 toward failure; those reported counts do not reconcile. The overall failed-structure rate moved only from 48.9% to 49.1%, despite the underlying changes. The family panel also became evaluable: ‘Wives and Children’ calls abundant Resource encountering Wealth a formed configuration, and light Resource with exposed Wealth a failed one. Previously we lacked the Resource-strength measure and evaluated neither; now both extremes follow the text, while the unaddressed middle remains unevaluated. We document but do not evaluate the Resource luck-cycle chapter.

Zi Ping Zhen Quan, ‘Eating God’, opens: ‘Eating God releases qi; it is welcomed because it can generate Wealth.’ It drains the Day Master by being its product, and is valued for passing that generation onward to Wealth. Five configuration names come from the following luck-cycle chapter: Eating God generating Wealth; Eating God using Killings and Resource; Eating God accompanied by Killings; Eating God accompanied by Resource with revealed Wealth as a remedy; and the Resource route. Two further names—Officer and Killings appearing together, and Eating God used alone—come from this chapter itself. ‘Formation, Failure and Rescue’ supplies three formation clauses and two failure clauses. Our cycle—Peers support Eating God, Wealth protects it, Resource opposes it—answers only two. All three missing clauses concern Seven Killings, two generating steps away: Eating God generates Wealth, which generates Officer/Killings. Killings is therefore neither helper, protector nor adversary in that cycle. Crucially, the missing clauses point in opposite directions. Without Wealth, Killings can form a favorable configuration: ‘Eating God with Killings and no Wealth’ or ‘abandon Eating God for Killings and reveal Resource’. With Wealth, ‘generating Wealth and exposing Killings’ is a failure. The role depends on another god’s presence, which the cycle never asks about. We apply three rules: (1) active Killings and Wealth fail unless Killings is bound or the text’s sequence is available—Wealth first, Killings later, Eating God between them; (2) Killings and Resource together without active Wealth form the structure, described as ‘most conspicuous in authority’; (3) revealed Killings without either Resource or Wealth also forms it: ‘provided there is no Wealth, it is a distinguished structure’. These partition the charts with active Killings; none applies when Killings is inactive. The remaining two clauses already match the cycle: Eating God meeting Owl Resource is the adverse Resource role, and revealing Wealth to resolve it is an existing rescue. We add no duplicate rule, only a guard ensuring agreement. Two statements concern seasonal conditions—summer Wood using Wealth amid hot Fire and dry Earth, and summer Fire scorching Wood so revealed Resource does not obstruct. These belong to the separate seasonal-conditioning chapter and are marked outside this chapter’s evaluation. ‘Eating God dislikes Officer, except in Metal–Water’ also remains diagnostic: Volume One never names Direct Officer as an Eating God failure, so we have no rule requiring that exception. The luck-cycle chapter calls the Resource route ‘overstrong Eating God accompanied by Resource’. We do not measure that excess in formation assessment, which asks whether a god is active rather than how much exists. We therefore use this chapter’s name, ‘Resource takes away Eating God’, instead of naming a route with an unevaluated quantity. Other panels retain the cycle, which differs here over the whole Seven Killings category; the chart labels this. Eating God accounts for about 8.5% of checked charts. This chapter changed 59 conclusions in both directions, while the overall failure rate remained 49.1% at the reported precision. Almost every chart failing this new rule already failed another layer; the main change was which reason took precedence. We document but do not evaluate the luck-cycle chapter. Two editions give opposite judgments for one sentence: one says Officer or Killings cycles are favorable, while another adds ‘not’. The textual reading must be settled before that judgment can be implemented.

Zi Ping Zhen Quan, ‘Indirect Officer’, opens: ‘Killings attacks the self and seems undesirable, yet many highly distinguished structures contain Seven Killings.’ The six configuration names come from the following luck-cycle chapter: Killings restrained by Eating God; Killings using Resource; Killings using Hurting Officer; Seven Killings using Wealth; Killings accompanied by Direct Officer; and Killings using Blade without Eating God’s restraint. The seventh, ‘Killings encountering Wealth without restraint’, comes from the failure clause in ‘Formation, Failure and Rescue’. Our formation assessment previously recorded an unresolved disagreement: ‘The Useful God’ says Killings dislikes Wealth and Resource feeding it, making Resource adverse, while ‘Formation, Failure and Rescue’ names only unrestrained Killings encountering Wealth as failure. We followed the latter, treating Resource as a channel, and explicitly recorded the disagreement. This chapter resolves it contextually: both statements can hold, depending on what the chart uses. In a configuration where Eating God restrains Killings, Resource removes Eating God—‘Resource removes Eating God and protects Killings’—and strong Killings with light Eating God and revealed Resource ‘breaks the configuration’. When the configuration uses Resource, however, Resource itself is useful: ‘Killings and Resource in a sympathetic relationship form a distinguished structure.’ The same god’s role within the same structure depends on another god’s presence, which the general cycle cannot assess. We apply seven rules, six toward formation and one toward failure: (1) Killings and Resource both connected to the Month Command form the structure; (2) heavy Killings and a light Day Master turning to Resource form it, though the text limits the degree of distinction; (3) Output, Resource and Wealth together form it when Wealth restrains Resource and restores Output; (4) a strong Day Master and light Killings using Wealth to clarify the structure form it; (5) Wealth positioned before Output forms it—Wealth generates Killings and the later Output restrains it; (6) Resource positioned before overly strong Output forms it by restraining that Output; (7) strong Killings, light Output and revealed Resource break it. We include judgments where the text explicitly addresses formation or failure of a structure or configuration. Statements only about degree—‘the highest distinction’, ‘especially great distinction’, ‘though not great’ and ‘distinction is still possible’—remain diagnostic. We measure ‘strong Killings’, ‘light Eating God’ and ‘a light self’ using the structure-quality panel’s existing three strengths. Seven Killings is the structure god and Output the supporting god. The chapter’s opening condition, ‘strong Killings, strong Eating God and a healthy self’, names precisely the same three parties as the quality chapter’s strength axis. A strong-Killings statement therefore agrees with that panel. Another limitation is explicit: the general formation clause says ‘a strong self with Seven Killings restrained’, but our cycle previously evaluated restraint only, never the strong-self condition. In chart checks, 90% of the charts the cycle marks formed do not have the Day Master on the strong side. We show all three strengths without automatically changing them to failure: the text provides the weak self with another route through Resource and does not call it failure. Permitting only downward overrides would rewrite the text. Two cross-chapter disagreements are also explicit. Here a Zi–Wu clash clears Killings to retain Officer, treating the clash favorably; elsewhere our dedicated clash-resolution layer marks an unresolved clash to the Month Command as failure. We follow that dedicated chapter. Also, one edition reads ‘use Blade’ and another ‘use Resource’. We choose Blade because this chapter already has a full Resource section, and the cited chart has inactive hidden Resource but two revealed Peers. Its final line sends ‘abandoning the self to follow Killings’ to the external-structures chapter, addressed next. We still select every structure from the Month Command and never establish a following structure; when its shape matches, we display that reading alongside ours. Seven Killings accounts for about 11% of checked charts. This chapter changed 75 conclusions—69 toward formation and 6 toward failure—and lowered the overall failure rate from 49.1% to 48.1%, the first overall decrease among these seven structure-specific layers. We document but do not evaluate its luck-cycle chapter, whose conditions compare quantities throughout: heavy Killings versus light Eating God, balanced Killings and Eating God, or already sufficient Wealth.

Zi Ping Zhen Quan, ‘Hurting Officer’, opens: ‘Though not an auspicious god, Hurting Officer is expressive refinement; many scholars belong to this structure.’ It is produced by the Day Master and controls Officer, hence its traditional adverse classification, while also representing visible talent. Six configuration names come from the following luck-cycle chapter: Hurting Officer using Wealth; accompanied by Resource; using both Wealth and Resource; using Killings and Resource; accompanied by Killings; and using Officer. The seventh, Officer and Killings both revealed, comes from this chapter’s final section. Of the eight structures, this has the longest treatment in ‘Formation, Failure and Rescue’: three formation clauses and three failure clauses. The general cycle correctly handles only two. The first formation clause, ‘Hurting Officer generates Wealth’, is marked failed by the cycle: Wealth is a channel, which that formation logic never checks, while a structure requiring restraint fails if no supporting role is found. The final formation clause, strong Hurting Officer with a weak self and revealed Killings and Resource, is judged ‘formation with failure within it’. The final failure clause, Resource accompanying light Hurting Officer and a strong self, is judged formed. All three run the wrong way. We therefore apply four overrides: (1) revealed Wealth with a Day Master able to stand forms the structure—‘a strong self and rooted Wealth make a distinguished structure’; (2) revealed Killings without active Wealth forms it—Hurting Officer restrains Killings and both find their proper use, provided there is no Wealth. With Resource, Killings generates Resource to support the self; without it, Hurting Officer restrains Killings directly. (3) Active Killings and Wealth together fail, matching ‘generating Wealth while accompanied by Killings’, since Wealth feeds Killings. (4) Revealed Resource with light Hurting Officer and a heavy Day Master fails, matching ‘Resource accompanying light Hurting Officer and a strong self’. Inclusion follows the same standard as earlier chapters: formation or failure must be explicit. The first two rules use this chapter’s ‘distinguished structure’; the last two use the failure chapter. Statements merely describing degree—examples include ‘a hundredfold refinement’, ‘first-rank distinction’, ‘limited prosperity’, ‘instead unrefined’ and ‘a configuration of poverty’—remain diagnostic. Hurting Officer is the only structure whose adverse category is explicitly overridden outside the general cycle. The stated reason names Direct Officer—‘Hurting Officer meets Officer’—but the actual setting includes both Officer and Killings. This chapter calls both Killings configurations distinguished, so the two members of that category have opposite roles here. We retain the existing setting, which also feeds the role overview, luck cycles and family readings, and supplement it with these rules; every relevant chart labels the disagreement. Another exception is answered upstream: ‘Turning Hurting Officer into Wealth means it is no longer acting as Hurting Officer; read strong Wealth generating Officer, not Hurting Officer meeting Officer.’ All three historical examples—Luo the top examination graduate, Chancellor Zheng and Chancellor Zhang—select Wealth in our calculation, two by revealed stems and one by branch assembly. Hurting Officer never becomes the structure god, so no extra exception is needed. Mutual noninterference uses the same mechanism as Direct Officer. This chapter supplies a second example: in ‘Ding and Ren separated by Wu and Ji do not interfere’, Wu is that chart’s Day Stem. Seasonal conditioning is handled separately, despite the chapter’s opening instruction to examine climate; root depth (‘Wealth has roots’, ‘Resource needs deep roots’) and the number of repeated Direct/Indirect gods are not evaluated here. Hurting Officer accounts for about 10% of checked charts. This chapter changed 42 conclusions—30 toward formation and 12 toward failure—reducing the overall failure rate from 48.1% to 47.8%, a second consecutive decrease. We document but do not evaluate the Hurting Officer luck-cycle chapter.

Zi Ping Zhen Quan’s final chapter, ‘Miscellaneous Structures’, opens with eligibility for external structures: ‘Broadly, no Officer or Killings should be revealed in the stems. If either is present, it already provides the useful role, so an external structure is unnecessary. Revealed Wealth may still permit one, unless Wealth has deep roots or appears in two stems; then Wealth takes precedence.’ This fills a gap in Volume Two’s ‘Accepting or Rejecting External Structures’. That chapter asks, ‘With Wealth already revealed, why clash Wealth out? With Officer revealed, why combine Prosperity?’ We previously read this as a universal rejection whenever Wealth was revealed. Those sentences actually address particular structures: existing Wealth removes the need for the clash-for-Wealth structure, and existing Officer removes the need for the combine-for-Prosperity structure. The general rule is in the final chapter and distinguishes Wealth from Officer/Killings. Revealed Officer or Killings rules out the detour immediately; revealed Wealth can still permit it unless deeply rooted or occupying two stems. In chart checks, just over one seventh have revealed Wealth but no Officer/Killings. About two thirds of those remain excluded by the final chapter, while approximately 2.3% of all charts fall within its ‘may still permit’ allowance. Our conclusion remains unchanged—we establish no external structures—but the textual reason changes. The chapter lists eleven: concentrated refinement of one element, following transformation, reverse clash, facing the Sun, combined Prosperity, abandoning the self to follow Wealth, abandoning the self to follow Killings, well railing, punishment-combination, distant combination, and Jia–Zi remotely reaching Si, which the author himself says may be discarded. We reproduce their passages and examples without adopting any. The same chapter rejects another fifteen by name: Gonglu (arched Prosperity), Gonggui (arched Noble), Qugan (approaching Qian), Guilu (returning Prosperity), Jiaxu (flanking Xu), Shugui (Rat Noble), Qilong (riding the Dragon), Ride (Day Virtue), Rigui (Day Noble), Fude (Blessing Virtue), Kuigang, Eating God’s Hour Tomb, two unmixed stems, stems and branches of one qi, and all five elements complete. It calls these unreasonable structures to set aside, forced accommodations that mislead later students. Together with the eight rejected in Volume Two and eight in Chapter 29, they never appear in our structure-selection layer. Two limitations are explicit. First, following Wealth and following Killings have clear conditions: the pillars consist of Wealth or Killings, the self has no qi or the Day Master has no roots; revealed Resource prevents following, Officer/Killings prevents following Wealth, and Output prevents following Killings. We detect the shape without adopting the structure. The text favors Wealth/Officer cycles and rejects a strong self in these cases, directly opposing this page’s strength-balancing approach, whose favorable elements are shared upstream by all four services. Matching charts—about two in a 3,000-chart check—show both readings side by side without changing any conclusion here. Second, the cited following-Wealth example, Geng–Shen / Yi–You / Bing–Shen / Ji–Chou, violates its own condition: Month Stem Yi is Direct Resource for Bing, while the passage explicitly says revealed Resource prevents following. We reproduce the source without relaxing the rule. We also recalculated thirteen examples using our Five Tigers and Five Rats stem sequences. Twelve are internally consistent. The punishment-combination example, Yi–Wei / Gui–Mao / Gui–Mao / Jia–Yin, has an inconsistent Year–Month sequence: Mao in a Yi year must be Ji–Mao, while Gui–Mao occurs only in Ding or Ren years. Yi–Wei may be a copying error for Ding–Wei. We preserve the source and record the issue. Finally, the chapter itself rejects a popular reading of ‘Hurting Officer completely expressed’. Reading it as ‘Officer should not appear’ is acceptable. The claim that Officer must be attacked until it has nowhere to remain, followed by more Hurting Officer luck to produce wealth and distinction, is rejected: the author says his checks found poverty and low status instead. Our adverse Direct Officer role follows the permitted first reading; we never implement the second.

The chart’s personality card and all ten Day Master pages use imagery: Jia as a towering tree, Yi as flowers and vines, Bing as the Sun’s fire. This comes from Yuan Hai Zi Ping, ‘Forms and Images of the Ten Stems’. Our assessment layers—structure selection, formation, quality, supporting roles and luck cycles—follow Zi Ping Zhen Quan, which explicitly rejects this approach twice. Volume One criticizes popular books for calling Jia a great forest that should be cut and Yi a delicate seedling that must not be harmed, saying this misunderstands yin and yang. Volume Three, Chapter 30, again lists treating the popular ‘Song of Forms and Images’ as definitive as the first of four errors. Its account of the stems concerns qi and substance: ‘Jia is Yi’s qi; Yi is Jia’s substance … in qi Jia is stronger, in substance Yi is firmer.’ It does not make one intrinsically strong and the other weak, unlike the imagery of robust Jia and fragile Yi. We display both approaches with separate roles: imagery helps beginners recognize the stems, while scoring and structure assessment never use it. Jia and Yi are both Wood with the same weight; a Yi Day Master loses no points for being depicted as a vine. This table was previously labeled ‘classical Zi Ping symbolism’, attaching one book’s imagery to a title that explicitly rejects it. That label has been corrected.