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The Twelve Sovereign Hexagrams: How the I Ching Maps the Twelve Months

Fu, Lin, Tai, Dazhuang, Guai, Qian, Gou, Dun, Pi, Guan, Bo and Kun: twelve hexagrams that trace the waxing and waning of yin and yang through the twelve months. With the month and solar term of each, and their place in the Han and Tang hexagram calendar.

What they are

The twelve sovereign hexagrams are twelve of the sixty-four, arranged in a circle by their number of yang and yin lines and matched to the twelve months of the year. Starting from Fu, with a single yang line at the bottom, yang grows by one line a month until Qian, all yang. Then from Gou, with a single yin line at the bottom, yin grows by one line a month until Kun, all yin, and the circle returns to Fu.

Their Chinese name, xiaoxi, means waning and waxing: yang growing is waxing, yang retreating is waning. They are also called the sovereign hexagrams (bi gua), each being the ruling hexagram of its month. The scheme belongs to the hexagram calendar of the Han-dynasty scholars Meng Xi and Jing Fang.

The twelve hexagrams and the twelve months

MonthHexagramLinesSolar term
11th24 Fuone yang belowWinter Solstice
12th19 Lintwo yang belowMajor Cold
1st11 Taithree yang below, three yin aboveRain Water
2nd34 Dazhuangfour yang belowSpring Equinox
3rd43 Guaifive yang below, one yin aboveGrain Rain
4th1 Qianall six yangGrain Fills
5th44 Gouone yin belowSummer Solstice
6th33 Duntwo yin belowMajor Heat
7th12 Pithree yin below, three yang aboveEnd of Heat
8th20 Guanfour yin belowAutumn Equinox
9th23 Bofive yin below, one yang aboveFrost Falls
10th2 Kunall six yinMinor Snow

The months are those of the traditional Chinese calendar, whose first month begins around the Start of Spring; strictly, the hexagram calendar divides its months by the solar terms. The twelve in order: Fu, Lin, Tai, Dazhuang, Guai, Qian, Gou, Dun, Pi, Guan, Bo, Kun.

How to read the circle

In the first six, yang waxes and yin wanes: yang grows up from the bottom line, one line a month, as yin retreats. In the last six it is the other way round. Laid side by side, the twelve figures show yin and yang rising and falling like a tide.

There is a turning point at each end. In the eleventh month, which holds the winter solstice, yin has reached its limit and one yang line returns: that is Fu, Return. In the fifth month, which holds the summer solstice, yang has reached its limit and one yin line appears: that is Gou. The judgment of Fu reads:

Success. Going out and coming in without harm. Friends come, no blame. Turning back along the way, in seven days comes the return. It is favorable to have somewhere to go.

“In seven days comes the return” has long been read in terms of this coming and going of yin and yang.

Tai and Pi, in the middle, mirror each other. Tai, the first month, has heaven below and earth above, and the Tuan commentary says of it that “heaven and earth meet and all things go through”. Pi, the seventh month, has earth below and heaven above: heaven and earth do not meet. The two moments of the year when yin and yang are in balance are one of flow and one of blockage.

Their place in the hexagram calendar

The hexagram calendar assigns sixty hexagrams to the seventy-two five-day pentads of the year (see solar terms and pentads), and the twelve sovereign hexagrams are its framework. In the table of the Tang monk Yixing’s Dayan calendar, the second pentad of each mid-month solar term belongs to a sovereign hexagram: the second pentad of the Winter Solstice, for example, belongs to Fu, and that of the Autumn Equinox to Guan. The other forty-eight hexagrams share the remaining pentads by rank, and Kan, Li, Zhen and Dui govern the twenty-four solar terms with their twenty-four lines.

What they have to do with casting

The sovereign hexagrams record the rise and fall of yin and yang through the year. They mark the season, not fortune. This site reads a cast only from the primary and resulting hexagrams the coins give (see changing lines); which month it is, or which sovereign hexagram rules it, does not change how a cast is read.