Heavenly Stem 09 of 10 · 天干
壬
Ren
rén
Ren is the yang expression of the Water phase. In a pillar it supplies phase and polarity; the Earthly Branch beside it supplies the animal and the twelve-position time coordinate.

One sign, one fixed coordinate
What stays fixed for Ren
Wherever 壬 appears—year, month, day or hour—it remains Yang Water. Its position in a chart changes; these identities and stem-to-stem partners do not.
- Sequence position
- 9 of 10
After 辛 Xin; before 癸 Gui.
Six meetings in sixty positions
Every Ren pillar in the cycle
The ten stems and twelve branches advance together. 壬 therefore meets six branches before the sixty-position sequence returns to its opening pair.
Inside the Earthly Branches · 藏干
Where 壬 is carried as a hidden stem
Branches contain one to three interior stems in a fixed order. 壬 appears inside 2 branches; its primary, middle or residual role stays attached to each occurrence.
- 01
申
Monkey · Shen
Metal branch
middleThe second stem in the branch’s interior order
- 02
亥
Pig · Hai
Water branch
primaryThe branch’s principal interior stem
When 壬 is the Day Master · 日主
How Ren names all ten stem relationships
As the day stem, 壬 becomes the comparison point. The target stem's phase selects one of five relationship pairs, then its polarity selects the named member of that pair.
- 01甲JiaYang WoodDay Master generates it · same polarity食神Eating Godshí shén
- 02乙YiYin WoodDay Master generates it · different polarity伤官Hurting Officershāng guān
- 03丙BingYang FireDay Master controls it · same polarity偏财Indirect Wealthpiān cái
- 04丁DingYin FireDay Master controls it · different polarity正财Direct Wealthzhèng cái
- 05戊WuYang EarthIt controls the Day Master · same polarity七杀Seven Killingsqī shā
- 06己JiYin EarthIt controls the Day Master · different polarity正官Direct Officerzhèng guān
- 07庚GengYang MetalIt generates the Day Master · same polarity偏印Indirect Resourcepiān yìn
- 08辛XinYin MetalIt generates the Day Master · different polarity正印Direct Resourcezhèng yìn
- 09壬RenYang WaterSame phase · same polarity比肩Friendbǐ jiān
- 10癸GuiYin WaterSame phase · different polarity劫财Rob Wealthjié cái