Seeking Truth Through Science, Empirical Evidence Through Data

Presenter: Tian Xingjian

Input parameters of I Ching Six Lines calculation:
Monthly Branch (12) * Daily Branch (12) = Total 144 Month-Day combinations

Primary Hexagram (64) * Resulting Hexagram (64) = 4096+
Primary Hexagram Static Hexagram * No Resulting Hexagram = 64 = Total 4160

Total I Ching Six Lines calculation parameters:
144 * 4160 = Total 599,040

Total possible I Ching Six Lines hexagram images: fewer than 600,000

Calculation methods for moving line probabilities are detailed in other materials.
Static Hexagram 17.80%
One Moving Line 35.60%
Two Moving Lines 29.66%
Three Moving Lines 13.18%
Four Moving Lines 3.30%
Five Moving Lines 0.44%
Six Moving Lines 0.02%


From the above data, the total probability of Static Hexagram + One Moving Line + Two Moving Lines = 83.06%

We only need to study the three scenarios of Static Hexagram, One Moving Line, and Two Moving Lines to cover 83% of hexagrams.

Static Hexagram: 64

One Moving Line: 64 * 6 = 384

Two Moving Lines: 64 * 15 = 960

Total Simple Hexagrams: 64 + 384 + 960 = 1,408

This accounts for 83% of the total hexagram probabilities.

That is, when we cast the lots, there is an 83% probability of obtaining a Simple Hexagram.


Therefore, we can completely focus our research on Simple Hexagrams.

Static Hexagram: 64
Combinations with Month-Day: 64 * 144 = 9,216
Key Line without Month-Day relationship total: 51
Key Line with Month-Day relationship total: 13

One Moving Line: 384
Combinations with Month-Day: 384 * 144 = 55,296
Key Line without Month-Day relationship total: 307
Key Line with Month-Day relationship total: 77

Two Moving Lines: 960
Combinations with Month-Day: 960 * 144 = 138,240
Key Line without Month-Day relationship total: 768
Key Line with Month-Day relationship total: 192

From the above data, if we only study one moving line without Month-Day relationships, the actual workload is 307 possibilities. If considering the flourishing or declining status, the workload becomes 307 * 2 = 614.

Static Hexagram: 64
Total for Key Line without Month-Day relationship, considering flourishing/declining: 51 * 2
Total for Key Line with Month-Day relationship, considering flourishing/declining: 13 * 2


One Moving Line: 384
Total for Key Line without Month-Day relationship, considering flourishing/declining: 307 * 2
Total for Key Line with Month-Day relationship, considering flourishing/declining: 77 * 2

One Moving Line, combinations based on Earthly Branches: Total 12 * 12 = 144 combinations

Two Moving Lines: 960
Total for Key Line without Month-Day relationship, considering flourishing/declining: 768 * 2
Total for Key Line with Month-Day relationship, considering flourishing/declining: 192 * 2

I Ching Six Lines emphasizes calculations centered on the Key Line
i.e., the Active Spirit (Yong Shen) or the moving line, which has relationships with the Month and Day, or special conditions like Emptiness (Xun Kong).

Probability of Key Line being Flourishing or Declining: approx. 50%
Probability of Month+Day+Key Line having no Clash, Combination, or Tomb relationship: approx. 80%
Probability of Month+Day+Key Line having Clash, Combination, or Tomb relationship: approx. 20%
Probability of Key Line Holding the World (Chi Shi): approx. 20%
Probability of Key Line being Activated (Fa Dong): approx. 20%
Probability of Key Line being Empty (Xun Kong): approx. 20%
Probability of Key Line being Clashed by Month (Yue Po): approx. 8.33%
Probability of Key Line being Combined by Month: approx. 8.33%
Probability of Key Line being Clashed by Day: approx. 8.33%
Probability of Key Line being Combined by Day: approx. 8.33%
Probability of Key Line being Entombed by Day: approx. 8.33%
Probability of Key Line being Hidden (Fu Zang): approx. 8.33%

Static Hexagram
- Six Kinship Holding the World (Chi Shi)
- Key Line Flourishing
- Presence or absence of Month-Day relationships
- Presence or absence of special characteristics

- Key Line Declining
- Presence or absence of Month-Day relationships
- Presence or absence of special characteristics

One Moving Line
- Six Kinship Activated (Fa Dong)
- Key Line Flourishing
- Presence or absence of Month-Day relationships
- Possesses special characteristics

- Key Line Declining
- Presence or absence of Month-Day relationships
- Presence or absence of special characteristics

Static Hexagram
- Wife Wealth (Qi Cai) Flourishing and Strong
- Wife Wealth Holding the World (Chi Shi)
- Wife Wealth Empty (Xun Kong)
- Wife Wealth Broken by Month (Yue Po)
- Wife Wealth Combined by Day
- Wife Wealth Combined by Month
- Wife Wealth Hidden (Fu Zang)
- Wife Wealth corresponding to Month or Day

- Wife Wealth Weakened or Declining
- Wife Wealth Holding the World (Chi Shi)
- Presence or absence of Month-Day relationships
- Presence or absence of special characteristics
One Moving Line
- Wife Wealth Flourishing and Strong
- Wife Wealth Holding the World (Chi Shi)
- Father (Fu Mu) Activated (Fa Dong)
- Father Empty (Xun Kong)

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