How is a biorhythm calculated?
Three sine waves and a day count — that really is all of it. So we counted a whole cycle to see what the arithmetic actually says.
The short answer
Count the whole days between the date you were born and the date you are looking at. Feed that one number into three sine waves: one that comes back round every 23 days, one every 28, one every 33. Multiply each result by 100, round it to a whole number, and you have the three values on the screen, each somewhere between −100 and +100. That is the entire calculation and there is nothing else in it. Nothing is drawn, no table is consulted, your birth time is not used, and the same birth date read on the same day will always give the same three numbers to everybody. The three curves are traditionally labelled physical, emotional and intellectual, and Bokki turns each number into one short sentence by asking which of four bands it fell into.
This is the one screen here that is not a tradition
Every other calculation on Bokki traces back to a documented lineage we can check ourselves against, and where the schools disagree we say which one we followed. Biorhythm has no such lineage, and we would rather say that at the top than let it sit quietly among the others. It is a late-nineteenth and twentieth-century idea, attached to Wilhelm Fliess and Hermann Swoboda and later to Alfred Teltscher, and it became popular in the 1970s. Controlled studies have looked for predictive validity and repeatedly failed to find any; it is generally regarded as pseudoscience. Our own source file states all of that in a comment above the first line of code, so that nobody maintaining it can mistake what it is. We keep the screen because a three-number daily mirror can be a pleasant nudge to notice how you actually feel, and we label it as a modern model wherever it appears. But it does leave us in an unusual position for this site: the only thing here we can be accurate about is the arithmetic itself. So we went and counted it.
The four bands are not four quarters
Bokki sorts each value into one of four bands and prints a sentence for it: high, good, turning point, low. The cut-offs are +60, +15 and −15 on a scale that runs from −100 to +100, which means high needs a value of sixty or more, while low is everything from −15 all the way down. Written out as slices of the scale that is 40 points wide for high, 45 for good, 30 for the turning point and 85 for low — the negative half is almost entirely one band. So we ran the actual code across a whole cycle, 21,252 days, and counted where the days landed. The physical curve came back low on 9,240 of them, which is 43.5%, and high on 6,468, which is 30.4%. The emotional curve was low on 46.4% of days and high on 32.1%. The intellectual curve was low on 45.5% and high on 30.3%. Almost half of your days come back labelled low on any given curve. Taking all three at once, 9.2% of days have every curve in the low band and only 3.0% have every curve high. We want to be careful about the cause: the slices of the scale above are not the same thing as the share of days, because a sine wave lingers near its extremes and hurries through the middle. But the direction is the same, and the point stands. If your chart tells you most days that you are running low, that is a fact about where three lines were drawn, not a fact about you.
It does repeat, and there is one day it all goes flat
Because 23, 28 and 33 share no factor between them, the three curves cannot come back into the same alignment until 23 × 28 × 33 days have passed. That is 21,252 days, about 58.2 years. We did not want to take that on faith, so we took 400 consecutive days and compared each one against the same day exactly one cycle later: all 400 matched to the number. There is also exactly one day inside a lifetime when all three curves read zero at the same moment, and it is your 10,626th day, which arrives at roughly twenty-nine years and one month. We ran it and got 0, 0, 0; the day before reads −27, +22 and −19. One more thing came out of the counting that we did not expect. The emotional curve is coarser than the other two. Twenty-eight is even and the other two lengths are odd, and a sine wave read on whole days is mirror-symmetric, so an even cycle makes the back half repeat the numbers of the front half. Over its twenty-eight days the emotional curve prints only fifteen different numbers, while the physical curve prints twenty-three in twenty-three days and the intellectual thirty-three in thirty-three. It also sits on exactly zero twice per cycle where the other two do it once.
What we don't calculate
We do not predict anything from this, and there is no code here that could. Nothing is called a critical day or a dangerous day; no value is read as a warning about your body, your driving, your training or your money; and we do not put two people's curves side by side and call the result compatibility. The chart is three numbers and one short sentence each, and the sentence is an invitation to check in with yourself rather than a forecast. We do not use your birth time, so the calculation cannot be made more precise by giving us one — only the date counts, and two people born twenty minutes apart across midnight will be one day apart for the rest of their lives. We do not weight the three curves against each other or combine them into a single score. And we do not present any of it as a tradition. If you want the part of this site with a lineage behind it, the four pillars are next door.
Read next
See your own three curves for today
What is 사주 (saju)? — the part of this site with a lineage behind it
How do I read my Saju reading? — the seam between what never changes and today
How a life path number is calculated — the other arithmetic-only screen
What is 삼재 (Samjae)? — a three-year cycle that is a tradition