Plum Blossom arithmetic is simple. The discipline is not in the math. The discipline is in choosing the input honestly and keeping the rule stable.

Most practical versions use two constants:

  • Divide by 8 to find a trigram.
  • Divide by 6 to find a changing line.

When the division leaves no remainder, use the final position: remainder 0 means 8 for trigrams and 6 for lines.

Trigram Numbers

This course uses the common Early Heaven number order:

RemainderTrigramImagePhase
1Qian โ˜ฐHeavenMetal
2Dui โ˜ฑLakeMetal
3Li โ˜ฒFireFire
4Zhen โ˜ณThunderWood
5Xun โ˜ดWindWood
6Kan โ˜ตWaterWater
7Gen โ˜ถMountainEarth
0 or 8Kun โ˜ทEarthEarth

Use this as a conversion table, not as a generic trigram ranking. Do not substitute Later Heaven, palace, or personal mnemonic numbers into these calculations unless a specific lineage lesson tells you to do so. If the number table changes, the method changes.

The trigram number is not a score. It is a conversion key. A count of 13 does not mean โ€œstronger than 5.โ€ It means 13 divided by 8 leaves 5, so the trigram is Xun.

Five Phase Numbers Are Different

Some Plum Blossom presentations also use Five Phase number correspondences. Keep them separate from trigram remainders.

NumberPhase
1Water
2Fire
3Wood
4Metal
5Earth

These are not a replacement for the Early Heaven trigram table. They belong to a different layer of correspondence. The beginner mistake is to see โ€œ1โ€ and forget to ask: is this number being used for a trigram, a phase, a branch, a calendar value, or a raw count?

Moving Line Numbers

Lines are counted from the bottom.

RemainderMoving line
1First line
2Second line
3Third line
4Fourth line
5Fifth line
0 or 6Sixth line

The changing line marks the pressure point. It shows where the moment turns, not where the whole answer hides.

The Ninth Point

The eight trigrams describe the patterned field. Some Shao Yong-influenced teaching streams also speak of a center, return, or ninth point: the undivided source from which the eight directions emerge.

Do not put that into the arithmetic. It is a philosophical reminder that the calculation points back to a whole moment, not just to a mechanical remainder.

Sources of Numbers

Good inputs are recordable:

Input typeExampleUse with care
Time14:27, hour branch, lunar dayDecide whether you are using raw clock numbers or a traditional calendar conversion.
Event countThree knocks, five calls, two people enteringUse the event that actually caught attention.
Spatial cueEast-facing door, object above or belowDecide the direction or placement rule before calculating.
Tactile countRice grains, beads, page numberCount after the action, not before.
Sudden numberReceipt total, room number, repeated digitUse it only when it belongs to the moment.

Do not keep fishing for a better number. The first honest cue is usually cleaner than the tenth refined one.

The Course Case

The workshop proposal question has two cues:

  • Three messages arrive.
  • The clock reads 14:27.

One stable rule:

StepCalculationResult
Upper trigram3 divided by 8Remainder 3, Li
Lower trigram14 + 27 = 41; 41 divided by 8Remainder 1, Qian
Moving line3 + 41 = 44; 44 divided by 6Remainder 2, line 2

Primary hexagram: Li over Qian, Hexagram 14, Great Possession.

Changed hexagram: line 2 changes, producing Li over Li, Hexagram 30, Clarity.

Now the reading has a structure:

  • Fire above Heaven: visibility over strength.
  • Line 2: the matter turns at the level of practical support, not public display.
  • Changed Fire over Fire: the movement increases dependence on clarity, presentation, and correct attachment.

The arithmetic did not interpret the answer by itself. It created the object to interpret.

Quality Control

Before trusting a Plum Blossom calculation, ask:

  1. Did I record the cue before interpreting?
  2. Did I choose the conversion rule before seeing the result?
  3. Can another person reproduce my calculation?
  4. Did I avoid changing methods midstream?
  5. Did I use the remainder, not the quotient?
  6. Can I state the reading in ordinary language?

If the answer to any of these is no, the reading may still be interesting, but it is not clean enough to teach from.

Next, learn how calendar numbers enter the method. Continue to Time and Calendar.