Skip to content

I Ching Birth Hexagram · Hexagram 31 of 64

Hexagram 31, 咸 Xián: the lake on the mountain, two moved at once

咸 Xián is hexagram 31 of the Zhouyi, which sets the lake on the mountain: the hill that holds the water and the water that softens the hill. The character means to feel or to move another, and it opens the second part of the received text; it is also where the Plum Blossom book's first cast ends.

Is this your birth hexagram?

Draw your free chart: I Ching birth hexagram No email needed
Hexagram 31, 咸 Xián, drawn as six lines numbered from the bottom: broken, broken, whole, whole, whole, broken. The lower, inner trigram is 艮 Gèn, Mountain; the upper, outer trigram is 兌 Duì, Lake. 1 2 3 4 5 6 Upper, outer 兌 Duì, Lake Lower, inner 艮 Gèn, Mountain 31 咸 Xián Lines numbered from the bottom
The figure of 咸 from the bottom line up: Mountain inside, Lake outside. Three broken lines, three whole.

Facts

Number
31 of 64, in the received order
Character and pinyin
咸 Xián ䷞
Our title
Mutual Influence
Lines, bottom to top
yin, yin, yang, yang, yang, yin
Lower trigram (inner)
☶ 艮 Gèn, Mountain
Upper trigram (outer)
☱ 兌 Duì, Lake
Within (nuclear)
44 姤 Gòu, Encounter
King Wen pair
32 恆 Héng, Constancy
Legge's name (1882)
Hsien
Part of the text
The second part (下經), 31 to 64

Meaning

The youngest son, the mountain, stands below the youngest daughter, the lake: stillness under gladness, and the two answering each other. 咸 means all, together, and in this hexagram to feel or to influence, and the tradition reads it as the attraction between two that begins the second half of the book, as heaven and earth begin the first. The Judgment promises success, and compares the firmness it asks for to the firmness proper to taking a young wife.

The Image draws a lesson about receptivity: the superior man keeps his mind empty of preoccupation so that others can reach it. In our own reading, 咸 is influence that is felt before it is understood, and that is deepest when it is least contrived.

The lines

The lines follow feeling up the body, one part at a time: the first is "one moving his great toes", in Legge's English, then come the calves, then the thighs, which cling too closely to what they follow. The fourth has no body part, only the counsel of firmness and the warning that restless coming and going draws only friends of one's own mind; the fifth moves the flesh of the back, and the top line moves the jaws and tongue, influence that has become talk.

In the plum blossom story

The Plum Blossom book's first case ends here. In its telling, Shao Yong counted the year, month, day and hour of the moment he saw two sparrows fall from a branch, found 革, hexagram 49, with its first line moving, and so came to 咸. The story is the book's own, and the book was compiled in the Ming period under his name.

Its pair is 恆, hexagram 32, the figure turned over; within 咸 lies 姤, hexagram 44.

In the birth cast

The time cast arrives at 咸 when the year, month and day leave 2 on eight, which puts 兌 lake above, and the same total with the hour added leaves 7, which puts 艮 mountain below. Which line moves depends on what the whole total leaves on six, and each line turns the figure into a different hexagram:

  • Line 1 (初六) moving: becomes 49 革 Gé, Changing the Hide
  • Line 2 (六二) moving: becomes 28 大過 Dà Guò, Great Excess
  • Line 3 (九三) moving: becomes 45 萃 Cuì, Gathering
  • Line 4 (九四) moving: becomes 39 蹇 Jiǎn, Obstruction
  • Line 5 (九五) moving: becomes 62 小過 Xiǎo Guò, Small Excess
  • Line 6 (上六) moving: becomes 33 遯 Dùn, Retreat

Lines 2 to 5 give the hexagram within, 44 姤 Gòu, Encounter. Everyone born in the same lunar day and double hour has the same cast, so the figure describes a moment, not a person.

Correspondences

Each item with how it stands: “sourced” is in the work cited, “our construction” is EsoTerrier’s own, and “disputed” means the sources disagree.

Trigram virtues (Shuogua, chapter 7)
艮 stopping, at rest below; 兌 pleased, open above, in our English sourced
Trigram family places (Shuogua)
youngest son below, youngest daughter above sourced
Trigram body and animal images (Shuogua)
hands and dog below; mouth and sheep above sourced
Trigram phases (a classical correspondence: the Plum Blossom text's table)
Earth below, Metal above. The Han assignment of 梅花易數, book 1, also used by Jing Fang; not stated as such in the Zhouyi sourced
Inverse and opposite
Upside down: 32 恆 Héng, Constancy; every line flipped: 41 損 Sǔn, Decrease sourced
Human Design gate
Gate 31, from 122° to 127.625° of the tropical zodiac on Ra Uru Hu's wheel (1987): a modern placing, not the I Ching's sourced
Our English title
Mutual Influence: EsoTerrier's own, from the sense of 咸 our construction

How the schools read it

The Zhouyi, in Legge's translation (1882)
“Its advantageousness will depend on the being firm and correct, (as) in marrying a young lady. There will be good fortune.”
The Image (大象), one of the Wings, in our paraphrase
A marsh above a mountain; the superior man keeps his mind free of preoccupation and open to others.
The Plum Blossom method (Ming)
A figure reached by numbers: 兌 above when the year, month and day leave 2 on eight, 艮 below when the same total with the hour leaves 7.
Human Design (Ra Uru Hu, 1987)
Takes the number for its gate 31 and puts it on the zodiac; its own reading, which we do not quote.
EsoTerrier
A lake on the mountain: an influence felt before it is understood, two moved at once; receive others with an open, empty heart rather than restless coming and going.

Claims about it

  • Gate 31 of Human Design, at 122° to 127.625° of the zodiac, is where the I Ching itself places hexagram 31.

    false

    What the record shows: The wheel is Shao Yong's circle rotated by Ra Uru Hu in 1987 to 1989 so that hexagram 41 starts at 2° Aquarius. No Chinese source we found puts the hexagrams on degrees of the zodiac.

  • Being born under 咸 Xián fixes a person's character.

    unverified

    What the record shows: A modern reading with no source in the tradition. The Zhouyi has no birth hexagram; the cast reads a figure, not a person, and everyone born in the same lunar day and double hour shares it.

  • Shao Yong invented the time method on the day his cast gave 49 革 becoming 31 咸.

    told as lore

    What the record shows: That cast is the Plum Blossom book's own opening story. The book was compiled in the Ming period under Shao Yong's name; no Song source tells the story.

Elsewhere on EsoTerrier

Sources

Primary texts (6)
  1. James Legge (trans.), The Yî King, Sacred Books of the East XVI. Oxford: Clarendon Press, 1882. Public domain; quoted briefly and credited. en.wikisource.org/wiki/Sacred_Books_of_the_East/Volume_16
  2. 梅花易數 (Meihua yishu, the Plum Blossom method), attributed to Shao Yong, book 1: the time rule, the trigram numbers and phases, and the casts of the plum blossom and the peonies. zh.wikisource.org/wiki/梅花易數/卷一
  3. 周易 (Zhouyi), the received Chinese text of the hexagram and line statements with the Ten Wings. ctext.org/book-of-changes
  4. The same, the 1882 Oxford edition scanned (archive.org), for hexagrams 33 to 64 and the appendices. archive.org/details/sacredbooksofchi16conf
  5. The Unicode Standard, Yijing Hexagram Symbols, U+4DC0 to U+4DFF. unicode.org/charts/PDF/U4DC0.pdf
  6. 京氏易傳 (Jingshi yizhuan), attributed to Jing Fang, three books. zh.wikisource.org/wiki/京氏易傳
Studies and other sources (3)
  1. "King Wen sequence", Wikipedia. en.wikipedia.org/wiki/King_Wen_sequence
  2. Jovian Archive, "Gates and hexagrams in Human Design" (cited for the wheel's origin only). jovianarchive.com/pages/gates-and-hexagrams-in-human-design
  3. "Hexagram (I Ching)", Wikipedia. en.wikipedia.org/wiki/Hexagram_(I_Ching)
Our own research (5)
  1. EsoTerrier, I Ching research, 10 to 14 October 2026: the method, the validation (61 births), the variants and the lists.
  2. EsoTerrier calculation engine, the I Ching service and its reference tables (titles, glosses and readings our own).
  3. EsoTerrier, Gene Keys research, 9 October 2026: the legal and trade-mark report, on which hexagram names are free to use.
  4. EsoTerrier, Human Design research, 9 October 2026: the wheel, gate 41 at 2° Aquarius, 5.625° per gate.
  5. EsoTerrier, engine audit of 14 October 2026: the reworded titles, readings and trigram qualities, with the passages each rests on.

Your I Ching reading, $4.99. Includes this system's raw data. Written for you by AI. Read a sample. Charts and the written text are free in every account.

By EsoTerrier. Written with AI assistance from our research and checked against its sources; last revised 19 October 2026. How we write these pages.

First published ; last revised . Corrections: support@esoterrier.com.