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I Ching Birth Hexagram · Hexagram 15 of 64

Hexagram 15, 謙 Qiān: the mountain that stands under the ground

謙 Qiān is hexagram 15 of the Zhouyi, which places a mountain beneath the earth, a high thing content to stand under the low. The character means modesty, and the tradition treats the hexagram with unusual warmth: its Judgment promises a good end to the humble, and none of its six line texts is unfavourable.

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Hexagram 15, 謙 Qiān, drawn as six lines numbered from the bottom: broken, broken, whole, broken, broken, broken. The lower, inner trigram is 艮 Gèn, Mountain; the upper, outer trigram is 坤 Kūn, Earth. 1 2 3 4 5 6 Upper, outer 坤 Kūn, Earth Lower, inner 艮 Gèn, Mountain 15 謙 Qiān Lines numbered from the bottom
The figure of 謙 from the bottom line up: Mountain inside, Earth outside. Five broken lines, one whole.

Facts

Number
15 of 64, in the received order
Character and pinyin
謙 Qiān ䷎
Our title
Modesty
Lines, bottom to top
yin, yin, yang, yin, yin, yin
Lower trigram (inner)
☶ 艮 Gèn, Mountain
Upper trigram (outer)
☷ 坤 Kūn, Earth
Within (nuclear)
40 解 Xiè, Release
King Wen pair
16 豫 Yù, Readiness
Legge's name (1882)
Khien
Part of the text
The first part (上經), 1 to 30

Meaning

A mountain is the highest thing on the earth; here it is set beneath it. The figure has one whole line, in the third place at the top of the lower trigram, under five broken ones: strength that does not push upward. 謙 means modesty, and the Judgment is brief and favourable: progress, and a good end to what the humble undertake. Legge's romanisation for it, Khien, is spelt the same as his name for hexagram 1, a collision that tone marks avoid: 乾 is qián, 謙 is qiān.

The Image reads the mountain within the earth as a lesson in levelling: the superior man takes from what has too much and adds to what has too little, and so balances things out. In our own words, modesty here is not self-effacement but a kind of accuracy about one's own size, and the tradition sees it as the quality that lets anything be finished.

The lines

The lines are unusual for being favourable throughout. The first is humility added to humility, and with it even the great stream can be crossed; the second is humility that others have come to recognise. The third, the hexagram's only whole line, is "the superior man of (acknowledged) merit", in Legge's words, who keeps his success to the end. The fourth goes on stirring up its humility; the fifth, without being rich, can rally its neighbours. The top line repeats the recognised humility of the second and turns it to setting its own house in order.

Its pair is 豫, hexagram 16, the same lines upside down; within it lies 解, hexagram 40.

In the birth cast

The time cast arrives at 謙 when the year, month and day leave 0, counted as 8 on eight, which puts 坤 earth 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 36 明夷 Míng Yí, Brightness Wounded
  • Line 2 (六二) moving: becomes 46 升 Shēng, Ascent
  • Line 3 (九三) moving: becomes 2 坤 Kūn, Earth's Yielding
  • Line 4 (六四) moving: becomes 62 小過 Xiǎo Guò, Small Excess
  • Line 5 (六五) moving: becomes 39 蹇 Jiǎn, Obstruction
  • Line 6 (上六) moving: becomes 52 艮 Gèn, Stopping

Lines 2 to 5 give the hexagram within, 40 解 Xiè, Release. 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; 坤 yielding, compliant above, in our English sourced
Trigram family places (Shuogua)
youngest son below, mother above sourced
Trigram body and animal images (Shuogua)
hands and dog below; belly and ox above sourced
Trigram phases (a classical correspondence: the Plum Blossom text's table)
Earth below, Earth 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: 16 豫 Yù, Readiness; every line flipped: 10 履 Lǚ, Treading sourced
Human Design gate
Gate 15, from 88.25° to 93.875° of the tropical zodiac on Ra Uru Hu's wheel (1987): a modern placing, not the I Ching's sourced
Our English title
Modesty: EsoTerrier's own, from the sense of 謙 our construction

How the schools read it

The Zhouyi, in Legge's translation (1882)
“Khien indicates progress and success. The superior man, (being humble as it implies), will have a (good) issue (to his undertakings).”
The Image (大象), one of the Wings, in our paraphrase
A mountain in the midst of the earth; the superior man reduces what is excessive and adds where there is lack, to bring about balance.
The Plum Blossom method (Ming)
A figure reached by numbers: 坤 above when the year, month and day leave 0 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 15 and puts it on the zodiac; its own reading, which we do not quote.
EsoTerrier
A mountain hidden within the earth: the high brought low and the low raised up; weighing things and sharing them out evenly, modesty carries an undertaking to its end.

Claims about it

  • Gate 15 of Human Design, at 88.25° to 93.875° of the zodiac, is where the I Ching itself places hexagram 15.

    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 謙 Qiān 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.

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.

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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.