How Hatcher's Word Chain Works

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A simple guide to the linked chain system in Bradford Hatcher's I Ching word-by-word translation.

Think of each Chinese character as a bead on a string. When the same character appears in different hexagrams, Hatcher threads them together into a chain. Each entry points to the next place where the same character appears.

This lets you read how one character's meaning changes across the entire I Ching.

The Data Table

Each character entry in Hatcher's matrix has columns for:

ColumnMeaning
PinyinThe pronunciation (e.g. yuan2)
HanziThe character (e.g. 元)
MathewsDictionary number (e.g. 7707)
StatsHow many times it appears: Lines + Hexagram Texts
ReferenceWhere to find the definition of this character
GlossThe meaning in this context
NextWhere to find the next occurrence in the chain

The First Witness

Every character has a First Witness — the first place it appears in the text. This entry is special:

  • It has the stats field filled in (other entries leave it blank)
  • It is the start of the chain
  • It is marked with a star (*) in the original text

For (yuan2), the First Witness is at Hexagram 01, Gua Ci (01.0):

Yuan at 01.0 — the First Witness with stats 10+2

Here we can see:

  • Stats: 10+2 means 元 appears 10 times in line texts and 2 times in hexagram texts
  • Reference: 02.0 — the definition lives at Hexagram 2, Gua Ci
  • Next: 19.0 — the next occurrence is at Hexagram 19, Gua Ci

Following the Chain

From the First Witness, we follow the chain:

Step 1: 01.0 → 02.0

Yuan at 02.0

At Hexagram 02, Gua Ci, we see 元 again. The reference column says 01.0 — this points back to the First Witness (where the core definition is). The next column says 02.5.

Step 2: 02.0 → 02.5

Yuan at 02.5

At Hexagram 02, Line 5. Notice that 02.5x (the Xiao Xiang for this line) also contains 元 — but it is a subsidiary entry (marked "S"), not part of the main chain.

Step 3: 02.5 → 03.0

Yuan at 03.0

At Hexagram 03, Gua Ci, 元 appears again in the "yuan heng li zhen" formula. The chain continues to 06.5.

Step 4: 03.0 → 06.5

Yuan at 06.5

At Hexagram 06, Line 5, the gloss is "(is) most, supremely, extremely". Next stop: 08.0.

Step 5: 06.5 → 08.0

Yuan at 08.0

At Hexagram 08, Gua Ci. Notice another character: (yuan2, Mathews 7725) with stats 27+8 and reference HL. This is a different character — same pronunciation but different Mathews number. HL means Hapax Legomenon: it appears only once in the entire text.

Three Types of Entries

TypeExampleIn Chain?Description
Main01.0, 02.0✅ YesPart of the reference chain
Subsidiary02.5x, 10.6x❌ NoXiao Xiang commentary, attached to a main line
Commentary01.T, 02.T❌ NoTuan Zhuan or Xiang Zhuan entries

Subsidiary and commentary entries point back to the First Witness directly. They are attached to their parent entries, not independent stops on the chain.

How It Looks on This Site

On our Word Index pages, we display this chain structure visually:

  • Chain mode: Words with a reference chain show entries in Hatcher's linked order, with the First Witness marked ★
  • Flat mode: Words without a reference chain (like 水 "water") show entries in natural order

Subsidiary entries (Xiao Xiang) are indented below their parent line entry.

Try it yourself: see 元 (yuan2) in action at yuan2_7707.

Summary

The chain system lets you:

  1. Find where a character first appears (First Witness)
  2. Follow its journey through the entire I Ching
  3. Compare how its meaning changes in different contexts
  4. See which entries are main stops vs. commentary

This is what makes Hatcher's work unique: every character is connected to every other instance of itself. The entire text becomes a web of meaning.

Explore the Word Index

See the chain system in action. Browse every character in Hatcher's translation with linked concordances.