Xiangshu, the symbol-number reading

What symbol-number means

Xiangshu is a compound of two words: xiang, the images or symbols, and shu, the numbers. Together they name a way of reading the Book of Changes in which the figures are not primarily literature but apparatus. A hexagram is a position in several systems at once, and the reader's task is to work out what those systems say about a given moment.

The approach dominated the Han dynasty and it was not a fringe pursuit. The Changes had been made a state classic, chairs were established at the imperial academy for competing lineages of interpretation, and the scholars who held them advised the throne on portents. Getting the calendar right and getting the cosmos right were understood to be the same problem, and a man who could do both was useful to an emperor.

The state and the classic

It matters that this happened under the Han rather than anywhere else. Emperor Wu had established the Five Classics as the basis of official learning, and appointment to an academic chair meant that a particular reading of a particular text became, in effect, government doctrine. Meng Xi, Jing Fang and their rivals were not private scholars circulating manuscripts; they were competing for institutional recognition.

That competition rewarded systems that produced answers. A reading of the Changes that could tell you which hexagram governed the third week of the second month, and what that implied about a drought or a succession dispute, was more valuable at court than one that offered moral reflection. The pressure ran toward technical elaboration, and the school elaborated.

How the machinery works

The founding move is Meng Xi's, and it is disarmingly simple: distribute sixty of the hexagrams evenly across the solar year, holding back Kan, Li, Zhen and Dui to govern the four seasonal turning points. Each remaining figure now occupies a little under a week. A date implies a hexagram, a hexagram implies a stretch of the year, and the text has acquired a clock.

Jing Fang then added the second layer. His Na Jia attaches the ten Heavenly Stems and twelve Earthly Branches to individual lines. This sounds like bookkeeping and is in fact the decisive step, because a branch carries a great deal with it. Once a line holds a branch it holds one of the Five Phases, a compass direction, a season, a double hour and one of the twelve animals. A bare line has become an object with properties.

His eight palaces regroup all sixty-four into families of eight, each generated from a doubled trigram by changing its lines in a fixed order: first line, then second, then third, and so on, with the last two members produced by a different rule. Within each family one line is marked as the shi, the world or self line standing for whoever is asking, and another as the ying, the response line standing for the matter enquired about.

At that point the reading has become a calculation. You are no longer only asking what the Judgment says. You are asking whether the phase carried by your line is generated or overcome by the phases around it, whether the season is feeding it or draining it, and what the hidden line beneath it is doing.

The apparatus multiplies

Later Han and Wei scholars kept adding. Zheng Xuan preferred Yao Chen, a different distribution of the branches, and it competed with Na Jia for centuries. Xun Shuang read hexagrams through the ascent of Qian's lines and the descent of Kun's, giving the figures an internal dynamic. Fei Fu held that every hexagram conceals lines borrowed from the head of its palace, so what you see is only half the information.

Alongside the technical work ran the apocrypha, the Yi wei, which took the hexagram-calendar as a key to political prophecy. These texts were enormously influential and eventually alarming enough that successive dynasties banned them, beginning in earnest in the fifth century. They survive mostly as quotations in works that were arguing against them.

The overreach and the reaction

The system's weakness is the one that afflicts every sufficiently rich interpretive apparatus: with enough devices, any conclusion can be justified. Yu Fan is the limit case. His Gua Bian derives figures from one another by prescribed line movements, and he supplemented it with half-images and further correspondences until practically any commentary could be grounded in something.

Wang Bi's response in the third century was to throw nearly all of it out. His formulation, that one grasps the meaning and forgets the symbols, gave the Yili school its founding slogan and set the terms of a rivalry that has run ever since. It was an argument about method, not about whether the Changes mattered, and it won comprehensively. Han commentaries stopped being copied, and most of them were lost inside two or three centuries.

Recovery, twice

Symbol-number came back twice, in quite different modes.

The Song revival went through the diagrams: the Yellow River Chart and the Luo River Writing, numerical arrangements claimed as the origin of the trigrams themselves. Chen Tuan transmitted them out of a Daoist milieu and Shao Yong built a full cosmology on the ordering that follows from them, including a cyclical chronology of the universe measured in units of nearly a hundred and thirty thousand years. That current is philosophical rather than divinatory, and it produced the arrangement Leibniz would later read as binary arithmetic.

The Qing revival was scholarly and sceptical. Hui Dong and the evidential researchers held that the Song diagrams were a late invention dressed as antiquity, and that the real Han learning had to be dug back out of the record. Their method was philological: sift quotations from Tang and Song compilations, attribute them, and reassemble commentaries that no longer existed as books. Zhang Huiyan's reconstruction of Yu Fan, decades of work on an author whose original text was gone, is the model of that effort and is still the edition scholars use.

Where it survives

The living form is Wen Wang Gua, named for King Wen and built directly on Jing Fang's apparatus. A diviner casts three coins six times, identifies the hexagram's palace, assigns branches and phases to the lines, marks the world and response lines, notes the hidden lines, and reads the outcome from how those elements support or attack one another and how the current season weights them.

It is worth being clear about the lineage, because translations obscure it. The technique most professional Chinese diviners use today is not the Judgment-and-Image reading familiar from Wilhelm or Legge. It is the calculating method a Han official developed for forecasting affairs of state, and it has been in continuous use since the first century BCE. A reader who knows only the Western-language Changes and then watches a working diviner in Taipei or Hong Kong will recognise the hexagrams and almost nothing else.