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Classical method · 18 operations

Yarrow Stalk Method Math

A clear explanation of the yarrow stalk method, the eighteen operations behind a hexagram, and why its line distribution differs from the coin method.

CHAPTER 01

The yarrow method is not just a slower coin method.

The classical procedure begins with fifty stalks, sets one aside, and works with forty-nine. Divide, hang one, count by fours, gather the remainder; repeat three operations to form one line.

50 - 1 = 49
3 operations = 1 line
18 operations = 6 lines = 1 hexagram
CHAPTER 02

It favors young yin and makes old yin rarer.

The yarrow distribution is not 1/8, 3/8, 3/8, 1/8. Its classical line distribution is 1/16, 5/16, 7/16, 3/16.

6 old yin1/166.25%
7 young yang5/1631.25%
8 young yin7/1643.75%
9 old yang3/1618.75%
CHAPTER 03

The difference comes from the procedure itself.

The coin method samples three independent binary outcomes. The yarrow method samples three staged remainder operations. Different procedure, different probability space. Hexagram Cast keeps the trace visible line by line.

Cast with the yarrow method

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