A half combination takes two branches from a trine: 4 trines × 3 picks = 12 combinations — 8 hold the cardinal middle god (mainstream half combinations), 4 are bow pairs (a school divergence). This page lists all 12 with their classification.
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.
| Combinations | 12 = 4 trines × 3 two-branch picks each (C(3,2)=3) |
|---|---|
| With the middle god | 8 — read as half combinations by the mainstream, weaker than a full trine |
| Bow pairs | 4 (growth + tomb, middle seat empty) — whether they count is a school divergence, printed openly |
| Source | derived on the spot from BRANCH_TRINE, no second hand copy |
One row per pair or group: members, nature and a one-step derivation. Nothing omitted — the table is the full set.
| Pair | Type | One-step derivation |
|---|---|---|
| 申 Shen · 子 Zi | half combination (holds the middle) | from the Water trine, middle god present |
| 子 Zi · 辰 Chen | half combination (holds the middle) | from the Water trine, middle god present |
| 申 Shen · 辰 Chen | bow pair (empty middle) | from the Water trine — middle god absent: not a combination for the mainstream, a bow pair for some schools |
| 亥 Hai · 卯 Mao | half combination (holds the middle) | from the Wood trine, middle god present |
| 卯 Mao · 未 Wei | half combination (holds the middle) | from the Wood trine, middle god present |
| 亥 Hai · 未 Wei | bow pair (empty middle) | from the Wood trine — middle god absent: not a combination for the mainstream, a bow pair for some schools |
| 寅 Yin · 午 Wu | half combination (holds the middle) | from the Fire trine, middle god present |
| 午 Wu · 戌 Xu | half combination (holds the middle) | from the Fire trine, middle god present |
| 寅 Yin · 戌 Xu | bow pair (empty middle) | from the Fire trine — middle god absent: not a combination for the mainstream, a bow pair for some schools |
| 巳 Si · 酉 You | half combination (holds the middle) | from the Metal trine, middle god present |
| 酉 You · 丑 Chou | half combination (holds the middle) | from the Metal trine, middle god present |
| 巳 Si · 丑 Chou | bow pair (empty middle) | from the Metal trine — middle god absent: not a combination for the mainstream, a bow pair for some schools |
The bow-pair dispute: of the 12 two-branch pairs, 4 lack the cardinal middle god (growth + tomb, such as Shen-Chen bowing to Zi). The mainstream does not count them — no middle, no frame; another school reads them as bow pairs with a vacancy awaiting the middle. This page separates the 8 half combinations from the 4 bow pairs so you can see which reading you are using.
Enter your birth moment (time optional). The page finds every hit of this relation among the six pairwise combinations of your four pillars.
Heavenly Stem Combination → · Heavenly Stem Clash → · Six Harmony (Liu He) → · Six Clash (Liu Chong) → · Six Harm (Liu Hai) → · Three Harmony (San He) → · Punishment (Xing) →
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.