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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.

When Dragons Appear, Transformation Happens
Qi Men uses a rule called “dragon presence leads to the transformation” (“feng long ze hua”). The month or hour must trigger the “transforming spirit.”
- Jia-Ji combinations are activated in the months/hours of Chen, Xu, Chou, Wei—especially Chen (Dragon).
- The “Five Tiger Run” formula further explains:
- Jia-Ji year begins with Bing Yin; March lands on Wu Chen, so Chen carries Wu Earth and Jia-Ji become Earth.
- Yi-Geng year begins with Wu Yin; March lands on Geng Chen, so Chen carries Geng Metal and Yi-Geng become Metal.
- Bing-Xin begins with Geng Yin; March lands on Ren Chen, so Chen carries Ren Water and Bing-Xin become Water.
- Ding-Ren begins with Ren Yin; March lands on Jia Chen, giving Jia Wood, so Ding-Ren become Wood.
- Wu-Gui begins with Jia Yin; March lands on Bing Chen, so Bing Fire resides in Chen and Wu-Gui become Fire.
The rule is chillingly exact: the resulting element always matches the element of the stem that sits in the Chen position during that cycle. Chen, associated with the Azure Dragon and a storied “water storage,” is the pivotal node where transformation occurs.