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Relations · Heavenly Stem Combination

Heavenly Stem Combination: every pair, derived

The heavenly stem combination is the only pairing among the ten stems: five pairs, each five seats apart, same polarity, transforming when supported. This page lists all five pairs with the transformation conditions and the combine-without-transforming divergence.

Computed facts (engine-verified + build-time assertions)

This page is generated from engine vv0.14.0; the pairs follow convention R35 on the methodology page, and the generator refuses to render if any cross-check fails. Audit item by item.

Pairs5 (out of 45 unordered stem pairs)
Transforming elementsEarth, Metal, Water, Wood, Fire once each — a full permutation of the five elements (build-time assertion)
Geometryfive seats apart (i and i+5), same polarity
SourceSTEM_COMBINE / STEM_COMBINE_ELEMENT (engine constants, verbatim)

The complete table

One row per pair or group: members, nature and a one-step derivation. Nothing omitted — the table is the full set.

PairTransforms toOne-step derivation
Jia · JiEarthfive seats apart in the stem cycle (0 → 5), same polarity — the only same-polarity counterpart on the ten-stem wheel
Yi · GengMetalfive seats apart in the stem cycle (1 → 6), same polarity — the only same-polarity counterpart on the ten-stem wheel
Bing · XinWaterfive seats apart in the stem cycle (2 → 7), same polarity — the only same-polarity counterpart on the ten-stem wheel
Ding · RenWoodfive seats apart in the stem cycle (3 → 8), same polarity — the only same-polarity counterpart on the ten-stem wheel
Wu · GuiFirefive seats apart in the stem cycle (4 → 9), same polarity — the only same-polarity counterpart on the ten-stem wheel

School differences (printed openly)

Combine without transforming: the mainstream requires the month command and the whole chart to support the transformation (for example, Jia-Ji to Earth wants an Earth-strong month); otherwise the pair is read as a mere combine, or even as mutual binding. This page lists what the pair transforms to if it transforms; whether it truly transforms is a whole-chart question. The divergence is public, not silently resolved.

Scan your own four pillars

Enter your birth moment (time optional). The page finds every hit of this relation among the six pairwise combinations of your four pillars.

A note on what this page deliberately does not do: the popular versions of this material assign a fixed personality to each term — one character per branch, one destiny per stage. This site rejects that framing. What is published here is a structural position: which element sits where, on what kind of ground, with which tenants inside. The same term reads differently under a different month command, and no meaningful judgement exists without the other characters of the chart. Where the tradition offers a reading it is labelled as the tradition's; this site's own contribution is that every number and term on this page is computed, versioned and checkable against the methodology page.

Frequently asked

What does the stem combination transform mean?
When supported by the month command and the chart, a combined pair transforms into a specific element: Jia-Ji to Earth, Yi-Geng to Metal, Bing-Xin to Water, Ding-Ren to Wood, Wu-Gui to Fire. The transforming elements form a full permutation of the five elements (build-time assertion) — not a hand-waved assignment.
What if the pair combines but does not transform?
The mainstream requires the month command; without support the pair is read as a mere combine, and the classics even speak of mutual binding. This page lists what the pair becomes if it transforms; whether it truly does is a whole-chart question. Both readings are in the school section.
Combine and clash are both five seats apart — why opposite effects?
The divide is the element relation, not the distance: combines share polarity and transform, while the four clash pairs control each other (Metal over Wood, Water over Fire). Same distance, opposite relation — a contrast worth auditing in itself.

The other seven relation pages

Heavenly Stem Clash →  ·  Six Harmony (Liu He) →  ·  Six Clash (Liu Chong) →  ·  Six Harm (Liu Hai) →  ·  Three Harmony (San He) →  ·  Punishment (Xing) →  ·  Half Combination (Ban He) →

Reference index

Every enumerable component of ba zi has its own page here. Each page is computed by the same engine and can be checked item by item — none of it is a personality table.