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Heavenly Stem Combinations: From Hetu-Luoshu to Astronomical Conjectures

Heavenly Stem Five Combinations are one of the most foundational yet enigmatic doctrines in Chinese metaphysics. This article takes readers through the math of Hetu, the astronomical correspondences, and various schools’ conjectures to show how the doctrine reflects a cosmic rhythm.

January 28, 2026 7 min read PDF Markdown
Heavenly Stem Combinations: From Hetu-Luoshu to Astronomical Conjectures

Chapter 1: Manifestation and Definition of the Five Combinations

First, what are the Five Combinations$4 Among the ten Heavenly Stems (Jia, Yi, Bing, Ding, Wu, Ji, Geng, Xin, Ren, Gui), every fifth stem pairs with another to form a “combination.”

  1. Jia-Ji combine to transform into Earth (Yang wood + Yin Earth, central harmony)
  2. Yi-Geng combine to transform into Metal (Yin wood + Yang metal, benevolent union)
  3. Bing-Xin combine to transform into Water (Yang fire + Yin metal, forceful union)
  4. Ding-Ren combine to transform into Wood (Yin fire + Yang water, furtive union)
  5. Wu-Gui combine to transform into Fire (Yang earth + Yin water, heartless pact)

This “combination” is not a mechanical pairing but a qualitative transformation that reflects yin-yang complementarity and the idea that opposites attract. Each Yang stem pairs with a Yin stem like a marital couple—an image echoed in the phrase “Mandarin duck union.” The real puzzle is the direction of the transformation.

According to the Five Phases, Jia Wood overcomes Ji Earth—why then do they combine to yield Earth (Jia submitting to Ji)$5 Yi Wood is subdued by Geng Metal; why does their combination yield Metal$6 Bing Fire overcomes Xin Metal, yet their union brings Water, a full new phase.

Clearly simple overcoming cannot explain this. We must dive into deeper numerology.