The Numerical Calculation Method
Last updated 5/21/2026
The numerical calculation method is the cleanest training form of Plum Blossom.
You choose or receive two numbers. One gives the upper trigram. One gives the lower trigram. A third operation gives the changing line.
It is simple enough to practice, but it still needs discipline.
When to Use It
Use this method when:
- A number appears clearly in the moment.
- You need a training exercise without calendar conversion.
- A client gives a number, date, page, receipt, room, address, or count.
- You want to learn the trigram and remainder rules by hand.
Do not use it when the number has no real tie to the question.
Basic Formula
| Step | Operation |
|---|---|
| Upper trigram | first number divided by 8 |
| Lower trigram | second number divided by 8 |
| Moving line | first number + second number, divided by 6 |
Remainder 0 means 8 for trigrams and 6 for lines.
The key value is the remainder, not the quotient. If 41 divided by 8 gives quotient 5 and remainder 1, the trigram is Qian from remainder 1. The quotient is just how many full cycles have passed.
Example
Question: โShould I keep developing this article?โ
Numbers:
- First number: 765.
- Second number: 432.
Calculation:
| Step | Math | Result |
|---|---|---|
| Upper trigram | 765 divided by 8 leaves 5 | Xun, Wind |
| Lower trigram | 432 divided by 8 leaves 0 | Kun, Earth |
| Moving line | 765 + 432 = 1197; divided by 6 leaves 3 | line 3 |
Primary hexagram: Wind over Earth, Hexagram 20, Contemplation.
Changed hexagram: line 3 changes, producing Wind over Mountain, Hexagram 53, Gradual Progress.
Interpretive start:
- Wind over Earth: influence moving across a field.
- Line 3: the question turns at the threshold between inner and outer action.
- Wind over Mountain: gradual development, not immediate publication.
Testable reading:
Keep developing it, but do not rush release. The article needs observation, structure, and gradual refinement before it can stand.
A Note on Original Numbers vs Remainders
Some learners calculate the changing line from the remainders. Others calculate from the original numbers. Both appear in modern teaching streams.
This course uses the original numbers unless the lesson says otherwise, because it preserves the full weight of the input.
The practical rule is not โonly one school exists.โ The practical rule is: choose one method, state it, and do not change it after seeing the hexagram.
This is also why the direct-number method is a good classroom drill. Mistakes are visible: another person can check the arithmetic, the remainder, the moving line, and the final hexagram without accepting any private intuition.
Course Case Revisited
For the workshop proposal:
- First number: 3.
- Second number: 41.
| Step | Math | Result |
|---|---|---|
| Upper trigram | 3 divided by 8 | Li, Fire |
| Lower trigram | 41 divided by 8 leaves 1 | Qian, Heaven |
| Moving line | 3 + 41 = 44; divided by 6 leaves 2 | line 2 |
The result remains Fire over Heaven changing at line 2.
The method is now reproducible. Anyone can check the arithmetic.
Practice Drill
Use three pairs of numbers:
- A page number and a line number.
- A receipt total and the number of items.
- A clock time split into hour and minute.
For each:
- Calculate the upper and lower trigrams.
- Find the moving line.
- Name the primary and changed hexagrams.
- Write one sentence using Ti/Yong and Five Phases.
Do not interpret at length yet. Build accuracy first.
Next, learn how the asking moment can become the input. Continue to The Horary Method.