Today

Your figure for today

The two ways of casting do not agree

Engraved instrument plate: a six-line hexagram, some lines solid and some broken in the middle, with three cast coins stacked at the left and one of them inked vermilion.
Why the short way is not the long way sped up

People usually assume the short way is just the long way sped up. It is not: the two produce different odds, and have done for as long as both have existed.

What one line comes out as, per throw
ThrowThe line Three coinsFifty stalks
6Old yin — broken, and moving to solid 1/8 12.5%1/16 6.25%
7Young yang — solid, staying put 3/8 37.5%5/16 31.25%
8Young yin — broken, staying put 3/8 37.5%7/16 43.75%
9Old yang — solid, and moving to broken 1/8 12.5%3/16 18.75%

Look at what the two columns agree on. Both give a solid line exactly half the time. Both move an average of one and a half lines out of six. The whole difference sits in which line moves: with coins, solid and broken are equally likely to be the one that changes. With stalks, a solid line is three times more likely to move than a broken one.

Which means the same question, cast both ways, will often land on the same figure and then turn into a different second one.

Where the numbers in that table come from

The page does not read numbers off that table — it throws the three coins, or runs the stalk division, and the table is what that comes out to.

How often is “often”?

Where this number comes from

That last sentence is the honest version of what every book on the subject says, and it stops one word short. The table it sits under already contains everything needed to finish it, so here is the number — for the figure you have.

Where a cast can land

Keep going inwards

All sixty-four

The standard lookup table, and the reason every printed edition has one on the inside cover: find the lower three lines down the side, the upper three across the top, and the square where they meet is your figure. Tap any of them to read it without casting.

Where this text comes from

Seven notes on the text, the translation and the randomness
  1. The Chinese is the original, not a modern edition. The judgment, the image and all 384 line texts are taken from the 周易 pages at Chinese Wikisource. The book is pre-Qin — roughly three thousand years old — and has been out of copyright since before copyright existed.
  2. The English is ours, written for this page. That is a deliberate choice and it costs us something. The translation everybody quotes is Wilhelm–Baynes, published in 1950 and still under copyright, so it cannot go on a page like this no matter how many repositories have copied it. The Victorian alternatives are free but read like Victorian alternatives.
  3. So the English stays close to the literal and stops there. The text is short, concrete, and mostly about weather, animals, farming and war. Where it is plain we say it plainly: frost, a horse, a pit, a cup of wine. Where the commentators have argued for two thousand years about what a line means, we give you the line and not the argument.
  4. One sentence per figure is openly ours. Each hexagram has a short note saying what it is about, written for someone who has never opened this book. It is marked as ours because it is not in the original and we are not going to pretend otherwise.
  5. The randomness is your browser's. It comes from crypto.getRandomValues, the same source used for cryptographic keys, and nothing about the cast is sent anywhere. The cast number seeds everything after it, so the same number always gives back the same six lines.
  6. The stalk method is simulated, not faked. Fifty stalks, one set aside, the remaining forty-nine divided into two heaps, one stalk taken from the right heap, both heaps counted off in fours — three rounds of that per line, exactly as described. The odds in the table above are what falls out of the procedure. They hold as long as the heap is divided without bias, which is the same assumption every book on the subject quietly makes.
  7. What this is. The I Ching is a way of putting a question in front of yourself and getting something back that you did not choose. The figure does not know anything about you and this page does not either. It throws honestly, prints what it threw, and shows you the rule it used to decide which part of the book answers. The rest is yours.

Elsewhere on the table