How do I remember the six transformations?

Each pair carries its element: Zi-Chou Earth, Yin-Hai Wood, Mao-Xu Fire, Chen-You Metal, Si-Shen Water, Wu-Wei Earth. Earth appearing twice is a build-time verified fact; no mnemonic needed — the table is the complete set.

Does Wu-Wei transform or not?

There is a divergence: the mainstream marks Earth, while some schools read the Sun-Moon harmony as non-transforming and a few read Fire. This site follows the engine constant (Earth) and records the divergence — both readings are checkable.

How do I use the harmonies in a chart?

This page gives the truth table; the scanner lists harmony hits among your four pillars. Whether a harmony transforms, and what a landing in the year-month versus day-hour means, are whole-chart judgments — the compatibility and favorable-element tools' job.

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Relations · Six Harmony (Liu He)

Six Harmony (Liu He): every pair, derived

The six harmonies pair the twelve branches: six pairs, each with a transforming element. This page lists all six and plugs into the derivation chain that produces the harms.

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.

Pairs	6 (out of 66 unordered branch pairs)
Transforming elements	Earth twice (Zi-Chou, Wu-Wei), Wood/Fire/Metal/Water once each — build-time assertion
Relation to the harms	each branch's harm partner is the clash of its harmony partner (see the harm page, verified 12/12)
Source	BRANCH_SIX_HE / SIX_HE_ELEMENT (engine constants)

The complete table

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

Pair	Transforms to	One-step derivation
子 Zi · 丑 Chou	Earth	harmony partner from the engine table; transforming element per pair (whether Wu-Wei transforms is a school question — see below)
寅 Yin · 亥 Hai	Wood	harmony partner from the engine table; transforming element per pair (whether Wu-Wei transforms is a school question — see below)
卯 Mao · 戌 Xu	Fire	harmony partner from the engine table; transforming element per pair (whether Wu-Wei transforms is a school question — see below)
辰 Chen · 酉 You	Metal	harmony partner from the engine table; transforming element per pair (whether Wu-Wei transforms is a school question — see below)
巳 Si · 申 Shen	Water	harmony partner from the engine table; transforming element per pair (whether Wu-Wei transforms is a school question — see below)

School differences (printed openly)

Wu-Wei: the mainstream lists Wu-Wei as the sixth harmony and marks it Earth, but some schools call it the harmony of Sun and Moon that does not transform, and a few read Fire instead. This site follows the engine constant (Earth) and records the divergence here — both readings are checkable.

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.

Birth date Birth time (optional)

Enter a date between 1900 and 2100.

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

How do I remember the six transformations?: Each pair carries its element: Zi-Chou Earth, Yin-Hai Wood, Mao-Xu Fire, Chen-You Metal, Si-Shen Water, Wu-Wei Earth. Earth appearing twice is a build-time verified fact; no mnemonic needed — the table is the complete set.
Does Wu-Wei transform or not?: There is a divergence: the mainstream marks Earth, while some schools read the Sun-Moon harmony as non-transforming and a few read Fire. This site follows the engine constant (Earth) and records the divergence — both readings are checkable.
How do I use the harmonies in a chart?: This page gives the truth table; the scanner lists harmony hits among your four pillars. Whether a harmony transforms, and what a landing in the year-month versus day-hour means, are whole-chart judgments — the compatibility and favorable-element tools' job.

The other seven relation pages

Heavenly Stem Combination → · Heavenly Stem Clash → · 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.

Chinese zodiac · 27 pages
Sixty day pillars · 60 pages
The twelve branches · 12 pages
The twelve stages · 12 pages
Ten gods by position · 30 pages
The 64 hexagrams · 64 pages
The 36 shen sha · 36 pages
The 30 scenario pages · 30 pages
The ten day masters · 10 pages
The 8 stem & branch relations · 8 pages
The five elements · 5 pages