Editing King Wen sequence

{{Short description|Traditional arrangement of I Ching hexagrams}}
{{Distinguish|Wenwanggua}}
'''The King Wen sequence''' ({{zh|c=文王卦序}}) is an arrangement of the sixty-four divination figures in the ''[[I Ching]]'' (often translated as the ''Book of Changes''). They are called ''[[Hexagram (I Ching)|hexagrams]]'' in English because each figure is composed of six 爻 yáo—broken or unbroken lines, that represent [[Yin and yang|yin or yang]] respectively.

The King Wen sequence is also known as the "received" or "classical" sequence because it is the oldest surviving arrangement of the hexagrams. Its true age and authorship are unknown. Traditionally, it is said that [[King Wen of Zhou]]  arranged the hexagrams in this sequence while imprisoned by [[King Zhou of Shang]] in the 12th century&nbsp;BC. A different arrangement, the "binary sequence" named in honor of the mythic [[culture hero]] [[Fu Xi]], originated in the [[Song dynasty]]. It is believed to be the work of scholar [[Shao Yong]] (1011–1077&nbsp;AD). As mirrored by the [[Bagua#Fu Xi's "Earlier Heaven"|先天 Earlier Heaven]] and [[Bagua#King Wen's "Later Heaven"|後天 Later Heaven]] arrangements of the eight trigrams, or [[bagua]], it was customary to attribute authorship to these legendary figures. Of the two hexagram arrangements, the King Wen sequence is, however, of much greater antiquity than the Fu Xi sequence.<ref name=biroco>Marshall, Steve [http://www.biroco.com/yijing/sequence.htm Yijing hexagram sequences]</ref>

== Structure of the sequence ==
The 64 hexagrams are grouped into 32 pairs. For 28 of the pairs, the second hexagram is created by turning the first upside down (i.e. 180° rotation). The exception to this rule is for the 8 symmetrical hexagrams that are the same after rotation (1 & 2, 27 & 28, 29 & 30, 61 & 62). Partners for these are given by inverting each line: solid becomes broken and broken becomes solid. These are indicated with icons in the table below.

Given the mathematical constraints of these simple rules, the number of lines that change within pair partners will always be even (either 2, 4, or 6). Whereas the number of lines that change between pairs depends on how the pairs are arranged, and the King Wen sequence has notable characteristics in this regard. Of the 64 transitions, exactly 48 of them are even changes (32 within-pairs plus 16 between-pairs) and 16 are odd changes (all between-pairs). This is a precise 3 to 1 ratio of even to odd transitions. Of the odd transitions, 14 are changes of three lines and 2 are changes of one line. Changes of five are absent. Each transition within a pair appears to be the correlating opposite of the other transition within the pair.

{| border="0" cellpadding="3" style="font-size:80%; text-align:center; width: 100%; "
|+
|-
| title="U+4DC0 (䷀), U+4DC1 (䷁)" | [[Image:Iching-hexagram-01.svg|17px]]{{nbsp}}[[Image:Iching-hexagram-02.svg|17px]]
| title="U+4DC2 (䷂), U+4DC3 (䷃)" | [[Image:Iching-hexagram-03.svg|17px]]{{nbsp}}[[Image:Iching-hexagram-04.svg|17px]]
| title="U+4DC4 (䷄), U+4DC5 (䷅)" | [[Image:Iching-hexagram-05.svg|17px]]{{nbsp}}[[Image:Iching-hexagram-06.svg|17px]]
| title="U+4DC6 (䷆), U+4DC7 (䷇)" | [[Image:Iching-hexagram-07.svg|17px]]{{nbsp}}[[Image:Iching-hexagram-08.svg|17px]]
| title="U+4DC8 (䷈), U+4DC9 (䷉)" | [[Image:Iching-hexagram-09.svg|17px]]{{nbsp}}[[Image:Iching-hexagram-10.svg|17px]]
| title="U+4DCA (䷊), U+4DCB (䷋)" | [[Image:Iching-hexagram-11.svg|17px]]{{nbsp}}[[Image:Iching-hexagram-12.svg|17px]]
| title="U+4DCC (䷌), U+4DCD (䷍)" | [[Image:Iching-hexagram-13.svg|17px]]{{nbsp}}[[Image:Iching-hexagram-14.svg|17px]]
| title="U+4DCE (䷎), U+4DCF (䷏)" | [[Image:Iching-hexagram-15.svg|17px]]{{nbsp}}[[Image:Iching-hexagram-16.svg|17px]]
|-
| '''''[[I Ching hexagram 01|1]]&nbsp;&nbsp;↕&nbsp;&nbsp;[[I Ching hexagram 02|2]]'''''
| [[I Ching hexagram 03|3]]&nbsp;&nbsp;~&nbsp;&nbsp;[[I Ching hexagram 04|4]]
| [[I Ching hexagram 05|5]]&nbsp;&nbsp;~&nbsp;&nbsp;[[I Ching hexagram 06|6]]
| [[I Ching hexagram 07|7]]&nbsp;&nbsp;~&nbsp;&nbsp;[[I Ching hexagram 08|8]]
| [[I Ching hexagram 09|9]]&nbsp;&nbsp;~&nbsp;[[I Ching hexagram 10|10]]
| [[I Ching hexagram 11|11]]&nbsp;~&nbsp;[[I Ching hexagram 12|12]]
| [[I Ching hexagram 13|13]]&nbsp;~&nbsp;[[I Ching hexagram 14|14]]
| [[I Ching hexagram 15|15]]&nbsp;~&nbsp;[[I Ching hexagram 16|16]]
|-
| colspan="4" style="height:0.3em;" |
|-
| title="U+4DD0 (䷐), U+4DD1 (䷑)" | [[Image:Iching-hexagram-17.svg|17px]]{{nbsp}}[[Image:Iching-hexagram-18.svg|17px]]
| title="U+4DD2 (䷒), U+4DD3 (䷓)" | [[Image:Iching-hexagram-19.svg|17px]]{{nbsp}}[[Image:Iching-hexagram-20.svg|17px]]
| title="U+4DD4 (䷔), U+4DD5 (䷕)" | [[Image:Iching-hexagram-21.svg|17px]]{{nbsp}}[[Image:Iching-hexagram-22.svg|17px]]
| title="U+4DD6 (䷖), U+4DD7 (䷗)" | [[Image:Iching-hexagram-23.svg|17px]]{{nbsp}}[[Image:Iching-hexagram-24.svg|17px]]
| title="U+4DD8 (䷘), U+4DD9 (䷙)" | [[Image:Iching-hexagram-25.svg|17px]]{{nbsp}}[[Image:Iching-hexagram-26.svg|17px]]
| title="U+4DDA (䷚), U+4DDB (䷛)" | [[Image:Iching-hexagram-27.svg|17px]]{{nbsp}}[[Image:Iching-hexagram-28.svg|17px]]
| title="U+4DDC (䷜), U+4DDD (䷝)" | [[Image:Iching-hexagram-29.svg|17px]]{{nbsp}}[[Image:Iching-hexagram-30.svg|17px]]
| title="U+4DDE (䷞), U+4DDF (䷟)" | [[Image:Iching-hexagram-31.svg|17px]]{{nbsp}}[[Image:Iching-hexagram-32.svg|17px]]
|-
| [[I Ching hexagram 17|17]]&nbsp;~&nbsp;[[I Ching hexagram 18|18]]
| [[I Ching hexagram 19|19]]&nbsp;~&nbsp;[[I Ching hexagram 20|20]]
| [[I Ching hexagram 21|21]]&nbsp;~&nbsp;[[I Ching hexagram 22|22]]
| [[I Ching hexagram 23|23]]&nbsp;~&nbsp;[[I Ching hexagram 24|24]]
| [[I Ching hexagram 25|25]]&nbsp;~&nbsp;[[I Ching hexagram 26|26]]
| '''''[[I Ching hexagram 27|27]]&nbsp;↕&nbsp;[[I Ching hexagram 28|28]]'''''
| '''''[[I Ching hexagram 29|29]]&nbsp;↕&nbsp;[[I Ching hexagram 30|30]]'''''
| [[I Ching hexagram 31|31]]&nbsp;~&nbsp;[[I Ching hexagram 32|32]]
|-
| colspan="4" style="height:0.3em;" |
|-
| title="U+4DE0 (䷠), U+4DE1 (䷡)" | [[Image:Iching-hexagram-33.svg|17px]]{{nbsp}}[[Image:Iching-hexagram-34.svg|17px]]
| title="U+4DE2 (䷢), U+4DE3 (䷣)" | [[Image:Iching-hexagram-35.svg|17px]]{{nbsp}}[[Image:Iching-hexagram-36.svg|17px]]
| title="U+4DE4 (䷤), U+4DE5 (䷥)" | [[Image:Iching-hexagram-37.svg|17px]]{{nbsp}}[[Image:Iching-hexagram-38.svg|17px]]
| title="U+4DE6 (䷦), U+4DE7 (䷧)" | [[Image:Iching-hexagram-39.svg|17px]]{{nbsp}}[[Image:Iching-hexagram-40.svg|17px]]
| title="U+4DE8 (䷨), U+4DE9 (䷩)" | [[Image:Iching-hexagram-41.svg|17px]]{{nbsp}}[[Image:Iching-hexagram-42.svg|17px]]
| title="U+4DEA (䷪), U+4DEB (䷫)" | [[Image:Iching-hexagram-43.svg|17px]]{{nbsp}}[[Image:Iching-hexagram-44.svg|17px]]
| title="U+4DEC (䷬), U+4DED (䷭)" | [[Image:Iching-hexagram-45.svg|17px]]{{nbsp}}[[Image:Iching-hexagram-46.svg|17px]]
| title="U+4DEE (䷮), U+4DEF (䷯)" | [[Image:Iching-hexagram-47.svg|17px]]{{nbsp}}[[Image:Iching-hexagram-48.svg|17px]]
|-
| [[I Ching hexagram 33|33]]&nbsp;~&nbsp;[[I Ching hexagram 34|34]]
| [[I Ching hexagram 35|35]]&nbsp;~&nbsp;[[I Ching hexagram 36|36]]
| [[I Ching hexagram 37|37]]&nbsp;~&nbsp;[[I Ching hexagram 38|38]]
| [[I Ching hexagram 39|39]]&nbsp;~&nbsp;[[I Ching hexagram 40|40]]
| [[I Ching hexagram 41|41]]&nbsp;~&nbsp;[[I Ching hexagram 42|42]]
| [[I Ching hexagram 43|43]]&nbsp;~&nbsp;[[I Ching hexagram 44|44]]
| [[I Ching hexagram 45|45]]&nbsp;~&nbsp;[[I Ching hexagram 46|46]]
| [[I Ching hexagram 47|47]]&nbsp;~&nbsp;[[I Ching hexagram 48|48]]
|-
| colspan="4" style="height:0.3em;" |
|-
| title="U+4DF0 (䷰), U+4DF1 (䷱)" | [[Image:Iching-hexagram-49.svg|17px]]{{nbsp}}[[Image:Iching-hexagram-50.svg|17px]]
| title="U+4DF2 (䷲), U+4DF3 (䷳)" | [[Image:Iching-hexagram-51.svg|17px]]{{nbsp}}[[Image:Iching-hexagram-52.svg|17px]]
| title="U+4DF4 (䷴), U+4DF5 (䷵)" | [[Image:Iching-hexagram-53.svg|17px]]{{nbsp}}[[Image:Iching-hexagram-54.svg|17px]]
| title="U+4DF6 (䷶), U+4DF7 (䷷)" | [[Image:Iching-hexagram-55.svg|17px]]{{nbsp}}[[Image:Iching-hexagram-56.svg|17px]]
| title="U+4DF8 (䷸), U+4DF9 (䷹)" | [[Image:Iching-hexagram-57.svg|17px]]{{nbsp}}[[Image:Iching-hexagram-58.svg|17px]]
| title="U+4DFA (䷺), U+4DFB (䷻)" | [[Image:Iching-hexagram-59.svg|17px]]{{nbsp}}[[Image:Iching-hexagram-60.svg|17px]]
| title="U+4DFC (䷼), U+4DFD (䷽)" | [[Image:Iching-hexagram-61.svg|17px]]{{nbsp}}[[Image:Iching-hexagram-62.svg|17px]]
| title="U+4DFE (䷾), U+4DFF (䷿)" | [[Image:Iching-hexagram-63.svg|17px]]{{nbsp}}[[Image:Iching-hexagram-64.svg|17px]]
|-
| [[I Ching hexagram 49|49]]&nbsp;~&nbsp;[[I Ching hexagram 50|50]]
| '''[[I Ching hexagram 51|51]]&nbsp;~&nbsp;[[I Ching hexagram 52|52]]'''
| [[I Ching hexagram 53|53]]&nbsp;~&nbsp;[[I Ching hexagram 54|54]]
| [[I Ching hexagram 55|55]]&nbsp;~&nbsp;[[I Ching hexagram 56|56]]
| '''[[I Ching hexagram 57|57]]&nbsp;~&nbsp;[[I Ching hexagram 58|58]]'''
| [[I Ching hexagram 59|59]]&nbsp;~&nbsp;[[I Ching hexagram 60|60]]
| '''''[[I Ching hexagram 61|61]]&nbsp;↕&nbsp;[[I Ching hexagram 62|62]]'''''
| [[I Ching hexagram 63|63]]&nbsp;~&nbsp;[[I Ching hexagram 64|64]]
|}

=== Dual hexagrams ===
The I Ching book was traditionally split up in two parts with the first part covering the first 30 hexagrams of the King Wen sequence and the second part with the remaining 34.<ref name="HackerMoore2003">{{cite journal |last1=Hacker |first1=Edward A. |last2=Moore |first2=Steve |date= 6 May 2003 |title=A brief note on the two–part division of the received order of the hexagrams in the ''Zhouyi'' |journal=Journal of Chinese Philosophy |volume=30 |issue=2 |pages=219–221 |doi=10.1111/1540-6253.00115 |url=http://www.biroco.com/yijing/Hacker_Moore_Note_on_two_part_division.pdf |accessdate=31 May 2010 }}</ref><ref name="Nielsen2003">{{cite book|author=Bent Nielsen|title=A companion to Yi jing numerology and cosmology: Chinese studies of images and numbers from Han (202 BCE-220 CE) to Song (960-1279 CE)|url=https://books.google.com/books?id=mQ4im_ICmbYC&pg=PA83|accessdate=31 May 2010|year=2003|publisher=Routledge|isbn=978-0-7007-1608-1|page=83}}</ref> The reason for this was not mentioned in the classic commentaries but was explained in later [[Yuan dynasty]] commentaries: 8 hexagrams are the same when turned upside down and the other 56 present a different hexagram if inverted. This allows the hexagrams to be displayed succinctly in two equal columns or rows of 18 unique hexagrams each; half of the 56 invertible hexagrams plus the 8 non-invertible.<ref name=cook/><ref name=dual>{{cite web|url=http://www.biroco.com/yijing/scan.htm |title=Yijing Dao - Archive of Yijing-related scans from Chinese and other sources |date=20 February 2010 |accessdate=19 May 2010}}</ref>

{| style="width:47em; float:left;line-height:1.75em;"
|-
| style="width:20em;" | ䷀&nbsp;&nbsp;乾 ''qián''<br /><small>[[I Ching hexagram 01|The Creative, Heaven]]</small>
| style="width:3em;" | &nbsp;1&nbsp;→&nbsp;
| style="width:1em;font-size:300%;" | {{Nowrap|1=<nowiki>||||||</nowiki>}}
| style="width:3em;" | || style="width:20em;" | 
|-
| ䷁&nbsp;&nbsp;坤 ''kūn''<br /><small>[[I Ching hexagram 02|The Receptive, Earth]]</small>
| &nbsp;2&nbsp;→&nbsp; || style="font-size:300%;" | {{nowrap|¦¦¦¦¦¦}}
|-
| ䷂&nbsp;&nbsp;&nbsp;屯 ''chún''<br /><small>[[I Ching hexagram 03|Difficulty At The Beginning]]</small>
| &nbsp;3&nbsp;→&nbsp; || style="font-size:300%;" | {{Nowrap|1=<nowiki>|¦¦¦|¦</nowiki>}}
| &nbsp;&nbsp;←&nbsp;4&nbsp;
| ䷃&nbsp;&nbsp;蒙 ''méng''<br /><small>[[I Ching hexagram 04|Youthful Folly]]</small>
|-
| ䷄&nbsp;&nbsp;需 ''xū''<br /><small>[[I Ching hexagram 05|Waiting]]</small>
| &nbsp;5&nbsp;→&nbsp; || style="font-size:300%;" | {{Nowrap|1=<nowiki>|||¦|¦</nowiki>}}
| &nbsp;&nbsp;←&nbsp;6&nbsp;
| ䷅&nbsp;&nbsp;訟 ''sòng''<br /><small>[[I Ching hexagram 06|Conflict]]</small>
|-
| ䷆&nbsp;&nbsp;師 ''shī''<br /><small>[[I Ching hexagram 07|The Army]]</small>
| &nbsp;7&nbsp;→&nbsp; || style="font-size:300%;" | {{Nowrap|1=<nowiki>¦|¦¦¦¦</nowiki>}}
| &nbsp;&nbsp;←&nbsp;8&nbsp;
| ䷇&nbsp;&nbsp;比 ''bǐ''<br /><small>[[I Ching hexagram 08|Holding Together]]</small>
|-
| ䷈&nbsp;&nbsp;小畜 ''xiǎo chù''<br /><small>[[I Ching hexagram 09|The Taming Power of the Small]]</small>
| &nbsp;9&nbsp;→&nbsp; || style="font-size:300%;" | {{Nowrap|1=<nowiki>|||¦||</nowiki>}}
| &nbsp;←&nbsp;10&nbsp;
| ䷉&nbsp;&nbsp;履 ''lǚ''<br /><small>[[I Ching hexagram 10|Treading (Conduct)]]</small>
|-
| ䷊&nbsp;&nbsp;泰 ''tài''<br /><small>[[I Ching hexagram 11|Peace]]</small>
| 11&nbsp;→&nbsp; || style="font-size:300%;" | {{Nowrap|1=<nowiki>|||¦¦¦</nowiki>}}
| &nbsp;←&nbsp;12&nbsp;
| ䷋&nbsp;&nbsp;否 ''pǐ''<br /><small>[[I Ching hexagram 12|Standstill (Stagnation)]]</small>
|-
| ䷌&nbsp;&nbsp;同人 ''tóng rén''<br /><small>[[I Ching hexagram 13|Fellowship with Men]]</small>
| 13&nbsp;→&nbsp; || style="font-size:300%;" | {{Nowrap|1=<nowiki>|¦||||</nowiki>}}
| &nbsp;←&nbsp;14&nbsp;
| ䷍&nbsp;&nbsp;大有 ''dà yǒu''<br /><small>[[I Ching hexagram 14|Possession in Great Measure]]</small>
|-
| ䷎&nbsp;&nbsp;謙 ''qiān''<br /><small>[[I Ching hexagram 15|Modesty]]</small>
| 15&nbsp;→&nbsp; || style="font-size:300%;" | {{Nowrap|1=<nowiki>¦¦|¦¦¦</nowiki>}}
| &nbsp;←&nbsp;16&nbsp;
| ䷏&nbsp;&nbsp;豫 ''yù''<br /><small>[[I Ching hexagram 16|Enthusiasm]]</small>
|-
| ䷐&nbsp;&nbsp;隨 ''suí''<br /><small>[[I Ching hexagram 17|Following]]</small>
| 17&nbsp;→&nbsp; || style="font-size:300%;" | {{Nowrap|1=<nowiki>|¦¦||¦</nowiki>}}
| &nbsp;←&nbsp;18&nbsp;
| ䷑&nbsp;&nbsp;蠱 ''gŭ''<br /><small>[[I Ching hexagram 18|Work On What Has Been Spoiled (Decay)]]</small>
|-
| ䷒&nbsp;&nbsp;臨 ''lín''<br /><small>[[I Ching hexagram 19|Approach]]</small>
| 19&nbsp;→&nbsp; || style="font-size:300%;" | {{Nowrap|1=<nowiki>||¦¦¦¦</nowiki>}}
| &nbsp;←&nbsp;20&nbsp;
| ䷓&nbsp;&nbsp;觀 ''guān''<br /><small>[[I Ching hexagram 20|Contemplation (View)]]</small>
|-
| ䷔&nbsp;&nbsp;噬嗑 ''shì kè''<br /><small>[[I Ching hexagram 21|Biting Through]]</small>
| 21&nbsp;→&nbsp; || style="font-size:300%;" | {{Nowrap|1=<nowiki>|¦¦|¦|</nowiki>}}
| &nbsp;←&nbsp;22&nbsp;
| ䷕&nbsp;&nbsp;賁 ''bì''<br /><small>[[I Ching hexagram 22|Grace]]</small>
|-
| ䷖&nbsp;&nbsp;剝 ''bō''<br /><small>[[I Ching hexagram 23|Splitting Apart]]</small>
| 23&nbsp;→&nbsp; || style="font-size:300%;" | {{Nowrap|1=<nowiki>¦¦¦¦¦|</nowiki>}}
| &nbsp;←&nbsp;24&nbsp;
| ䷗&nbsp;&nbsp;復 ''fù''<br /><small>[[I Ching hexagram 24|Return (The Turning Point)]]</small>
|-
| ䷘&nbsp;&nbsp;无妄 ''wú wàng''<br /><small>[[I Ching hexagram 25|Innocence (The Unexpected)]]</small>
| 25&nbsp;→&nbsp; || style="font-size:300%;" | {{Nowrap|1=<nowiki>|¦¦|||</nowiki>}}
| &nbsp;←&nbsp;26&nbsp;
| ䷙&nbsp;&nbsp;大畜 ''dà chù''<br /><small>[[I Ching hexagram 26|The Taming Power of the Great]]</small>
|-
| ䷚&nbsp;&nbsp;頤 ''yí''<br /><small style="white-space:nowrap;">[[I Ching hexagram 27|The Corners of the Mouth (Providing Nourishment)]]</small>
| 27&nbsp;→&nbsp; || style="font-size:300%;" | {{Nowrap|1=<nowiki>|¦¦¦¦|</nowiki>}}
|
|
|-
| ䷛&nbsp;&nbsp;大過 ''dà guò''<br /><small>[[I Ching hexagram 28|Preponderance Of The Great]]</small>
| 28&nbsp;→&nbsp; || style="font-size:300%;" |{{Nowrap|1=<nowiki> ¦||||¦</nowiki>}}
|-
| ䷜&nbsp;&nbsp;坎 ''kǎn''<br /><small>[[I Ching hexagram 29|The Abysmal (Water)]]</small>
| 29&nbsp;→&nbsp; || style="font-size:300%;" | {{Nowrap|1=<nowiki>¦|¦¦|¦</nowiki>}}
|
|
|-
| ䷝&nbsp;&nbsp;離 ''lí''<br /><small>[[I Ching hexagram 30|The Clinging, Fire]]</small>
| 30&nbsp;→&nbsp; || style="font-size:300%;" | {{Nowrap|1=<nowiki>|¦||¦|</nowiki>}}
|}

{| style="width:41em;line-height:1.75em;"
|-
| style="width:17em;" | ䷞&nbsp;&nbsp;咸 ''xián''<br /><small>[[I Ching hexagram 31|Influence (Wooing)]]</small>
| style="width:3em;" | 31&nbsp;→
| style="width:1em;font-size:300%;" | {{Nowrap|1=<nowiki>¦¦|||¦</nowiki>}}
| style="width:3em;" | ←&nbsp;32
| style="width:17em;" | ䷟&nbsp;&nbsp;恆 ''héng''<br /><small>[[I Ching hexagram 32|Duration]]</small>
|-
| ䷠&nbsp;&nbsp;遯 ''dùn''<br /><small>[[I Ching hexagram 33|Retreat]]</small>
| 33&nbsp;→&nbsp; || style="font-size:300%;" | {{Nowrap|1=<nowiki>¦¦||||</nowiki>}}
| &nbsp;←&nbsp;34&nbsp;
| ䷡&nbsp;&nbsp;大壯 ''dà zhuàng''<br /><small>[[I Ching hexagram 34|The Power of the Great]]</small>
|-
| ䷢&nbsp;&nbsp;晉 ''jìn''<br /><small>[[I Ching hexagram 35|Progress]]</small>
| 35&nbsp;→&nbsp; || style="font-size:300%;" | {{Nowrap|1=<nowiki>¦¦¦|¦|</nowiki>}}
| &nbsp;←&nbsp;36&nbsp;
| ䷣&nbsp;&nbsp;明夷 ''míng yí''<br /><small>[[I Ching hexagram 36|Brilliance Injured]]</small>
|-
| ䷤&nbsp;&nbsp;家人 ''jiā rén''<br /><small>[[I Ching hexagram 37|The Family (The Clan)]]</small>
| 37&nbsp;→&nbsp; || style="font-size:300%;" | {{Nowrap|1=<nowiki>|¦|¦||</nowiki>}}
| &nbsp;←&nbsp;38&nbsp;
| ䷥&nbsp;&nbsp;睽 ''kuí''<br /><small>[[I Ching hexagram 38|Opposition]]</small>
|-
| ䷦&nbsp;&nbsp;蹇 ''jiǎn''<br /><small>[[I Ching hexagram 39|Obstruction]]</small>
| 39&nbsp;→&nbsp; || style="font-size:300%;" | {{Nowrap|1=<nowiki>¦¦|¦|¦</nowiki>}}
| &nbsp;←&nbsp;40&nbsp;
| ䷧&nbsp;&nbsp;解 ''xiè''<br /><small>[[I Ching hexagram 40|Deliverance]]</small>
|-
| ䷨&nbsp;&nbsp;損 ''sǔn''<br /><small>[[I Ching hexagram 41|Decrease]]</small>
| 41&nbsp;→&nbsp; || style="font-size:300%;" | {{Nowrap|1=<nowiki>||¦¦¦|</nowiki>}}
| &nbsp;←&nbsp;42&nbsp;
| ䷩&nbsp;&nbsp;益 ''yì''<br /><small>[[I Ching hexagram 42|Increase]]</small>
|-
| ䷪&nbsp;&nbsp;夬 ''guài''<br /><small>[[I Ching hexagram 43|Break-Through (Resoluteness)]]</small>
| 43&nbsp;→&nbsp; || style="font-size:300%;" | {{Nowrap|1=<nowiki>|||||¦</nowiki>}}
| &nbsp;←&nbsp;44&nbsp;
| ䷫&nbsp;&nbsp;姤 ''gòu''<br /><small>[[I Ching hexagram 44|Coming To Meet]]</small>
|-
| ䷬&nbsp;&nbsp;萃 ''cuì''<br /><small>[[I Ching hexagram 45|Gathering Together (Massing)]]</small>
| 45&nbsp;→&nbsp; || style="font-size:300%;" | {{Nowrap|1=<nowiki>¦¦¦||¦</nowiki>}}
| &nbsp;←&nbsp;46&nbsp;
| ䷭&nbsp;&nbsp;升 ''shēng''<br /><small>[[I Ching hexagram 46|Pushing Upward]]</small>
|-
| ䷮&nbsp;&nbsp;困 ''kùn''<br /><small>[[I Ching hexagram 47|Oppression (Exhaustion)]]</small>
| 47&nbsp;→&nbsp; || style="font-size:300%;" | {{Nowrap|1=<nowiki>¦|¦||¦</nowiki>}}
| &nbsp;←&nbsp;48&nbsp;
| ䷯&nbsp;&nbsp;井 ''jǐng''<br /><small>[[I Ching hexagram 48|The Well]]</small>
|-
| ䷰&nbsp;&nbsp;革 ''gé''<br /><small>[[I Ching hexagram 49|Revolution (Molting)]]</small>
| 49&nbsp;→&nbsp; || style="font-size:300%;" | {{Nowrap|1=<nowiki>|¦|||¦</nowiki>}}
| &nbsp;←&nbsp;50&nbsp;
| ䷱&nbsp;&nbsp;鼎 ''dǐng''<br /><small>[[I Ching hexagram 50|The Cauldron]]</small>
|-
| ䷲&nbsp;&nbsp;震 ''zhèn''<br /><small>[[I Ching hexagram 51|The Arousing (Shock, Thunder)]]</small>
| 51&nbsp;→&nbsp; || style="font-size:300%;" | {{Nowrap|1=<nowiki>|¦¦|¦¦</nowiki>}}
| &nbsp;←&nbsp;52&nbsp;
| ䷳&nbsp;&nbsp;艮 ''gèn''<br /><small>[[I Ching hexagram 52|Keeping Still, Mountain]]</small>
|-
| ䷴&nbsp;&nbsp;漸 ''jiàn''<br /><small>[[I Ching hexagram 53|Development (Gradual Progress)]]</small>
| 53&nbsp;→&nbsp; || style="font-size:300%;" | {{Nowrap|1=<nowiki>¦¦|¦||</nowiki>}}
| &nbsp;←&nbsp;54&nbsp;
| ䷵&nbsp;&nbsp;歸妹 ''guī mèi''<br /><small>[[I Ching hexagram 54|The Marrying Maiden]]</small>
|-
| ䷶&nbsp;&nbsp;豐 ''fēng''<br /><small>[[I Ching hexagram 55|Abundance]]</small>
| 55&nbsp;→&nbsp; || style="font-size:300%;" | {{Nowrap|1=<nowiki>|¦||¦¦</nowiki>}}
| &nbsp;←&nbsp;56&nbsp;
| ䷷&nbsp;&nbsp;旅 ''lǚ''<br /><small>[[I Ching hexagram 56|The Wanderer]]</small>
|-
| ䷸&nbsp;&nbsp;巽 ''xùn''<br /><small>[[I Ching hexagram 57|The Gentle (The Penetrating, Wind)]]</small>
| 57&nbsp;→&nbsp; || style="font-size:300%;" | {{Nowrap|1=<nowiki>¦||¦||</nowiki>}}
| &nbsp;←&nbsp;58&nbsp;
| ䷹&nbsp;&nbsp;兌 ''duì''<br /><small>[[I Ching hexagram 58|The Joyous, Lake]]</small>
|-
| ䷺&nbsp;&nbsp;渙 ''huàn''<br /><small>[[I Ching hexagram 59|Dispersion (Dissolution)]]</small>
| 59&nbsp;→&nbsp; || style="font-size:300%;" | {{Nowrap|1=<nowiki>¦|¦¦||</nowiki>}}
| &nbsp;←&nbsp;60&nbsp;
| ䷻&nbsp;&nbsp;節 ''jié''<br /><small>[[I Ching hexagram 60|Limitation]]</small>
|-
| ䷼&nbsp;&nbsp;中孚 ''zhōng fú''<br /><small>[[I Ching hexagram 61|Inner Truth]]</small>
| 61&nbsp;→&nbsp; || style="font-size:300%;" | {{Nowrap|1=<nowiki>||¦¦||</nowiki>}}
|
| 
|-
| ䷽&nbsp;&nbsp;小過 ''xiǎo guò''<br /><small>[[I Ching hexagram 62|Preponderance of the Small]]</small>
| 62&nbsp;→&nbsp; || style="font-size:300%;" | {{Nowrap|1=<nowiki>¦¦||¦¦</nowiki>}}
|-
| ䷾&nbsp;&nbsp;既濟 ''jì jì''<br /><small>[[I Ching hexagram 63|After Completion]]</small>
| 63&nbsp;→&nbsp; || style="font-size:300%;" | {{Nowrap|1=<nowiki>|¦|¦|¦</nowiki>}}
| &nbsp;←&nbsp;64&nbsp;
| ䷿&nbsp;&nbsp;未濟 ''wèi jì''<br /><small>[[I Ching hexagram 64|Before Completion]]</small>
|}
{{clear left}}

== Explanation ==
Over the centuries there were many attempts to explain this sequence. Some basic elements are obvious: each symbol is paired with an "upside-down" neighbor, except for 1, 27, 29, and 61 which are "vertically" symmetrical and paired with "inversed" neighbors.

There have been recent attempts to apply [[Combinatorics|mathematical combinatorics]] in explaining the logic behind the King Wen sequence, for example Richard S. Cook's proposal.<ref name=cook>{{cite web|url=http://www.biroco.com/yijing/images/kwscook.jpg |author=Cook, Richard S. |title=《周易》卦序詮解 (Zhou yi guaxu quanjie)|format=JPEG Image, 1024x793 |year=2006 |accessdate=22 May 2010 }} STEDT Monograph 5: ''[http://stedt.berkeley.edu/html/publications.html#mng5 Classical Chinese Combinatorics]: Derivation of the Book of Changes Hexagram Sequence.'' 660 pages. {{ISBN|0-944613-44-6}}. OCLC 77009740.</ref>

== Other hexagram sequences ==
*[[Bagua#Fuxi's "Earlier Heaven"|Binary sequence]], also known as [[Fu Xi]] sequence or [[Shao Yong]] sequence
*[[Mawangdui]] sequence<ref name=biroco />
*[[Wenwanggua#Eight houses / Eight Palaces of trigrams|Eight Palaces]] sequence (attributed to [[Jing Fang]]).

== See also ==

* [[Terrence McKenna]]
* [[Wenwanggua]]

== References ==
<references/>

== External links ==
* {{OEIS el|sequencenumber=A102241|name=Hexagrams of the Yi Jing interpreted in base 10|formalname=Hexagrams of the Yi Jing [or I Ching] interpreted in base 10, with the top line = 2^5 (most significant bit) and the bottom line as 2^0 (least significant bit)}}
* [https://web.archive.org/web/20080125095543/http://www.levity.com/eschaton/waveexplain.html 'Derivation of the Timewave from the King Wen Sequence of Hexagrams'] -([https://web.archive.org/web/20080125095543/http://www.levity.com/eschaton/waveexplain.html Archive link])
* [https://www.saxofoon-studio.nl/yijing-modes/wp-content/uploads/2022/06/The-King-Wen-Sequence.pdf 'A numerological interpretation of the King Wen sequence ']

{{DEFAULTSORT:King Wen Sequence}}
[[Category:Chinese philosophy]]
[[Category:I Ching]]
[[Category:Taoist cosmology]]