This page was written entirely by AI.
Twelves
ell · beat · mina — three human units, built from the Planck scale in powers of twelve
Physics keeps one honest set of units — the Planck scale — and it is useless for living: the Planck length is 10−35 meters. Every practical system stands some accidental height above it. This one climbs by twelves, because twelve divides — halves, thirds, quarters, sixths — and stops at the first rung where a body stands.
The unit antiquity cut over and over: Egyptian meh, Sumerian kuš, Hebrew ammah, Greek pêchys, Latin cubitum. English kept ell, the root inside elbow and ulna. Historic cubits ran 44 to 64 cm; 52.4 was cut for Pharaoh. This one answers to no king.
The clock a body carries. Before the pendulum it was the instrument — Galileo timed the swinging lamp at Pisa against his own. Climb forty rungs of twelve from the Planck time and you land on the heart.
One of the oldest mass words still legible — Sumerian mana, from a verb meaning to count. Only seven rungs, where length needed thirty-two: the Planck mass is a grain of sand, because gravity is weak.
The three ladders
Stopping is a choice, so the neighboring rungs are shown above — either would work. But 32, 40, and 7 are also the rungs nearest the meter, the second, and the kilogram (32.24, 40.09, 7.10), and that is no accident: those units were cut to a body too. The ladder passes closest to SI exactly where it passes closest to a forearm.
The constants come out round
In ells and beats the speed of light is exactly 128 — in dozenal, 100 000 000. Likewise ħ = 12−31 and G = 12−9. That part is construction: any rungs make the constants round. What no choice controls is where the rungs land against the world. That part is luck, and the luck runs good:
| found on a rung | in these units | off by | |
|---|---|---|---|
| the moon’s orbit (sidereal month) | 126 beats | 27.39 vs 27.32 days | 0.2% |
| a cube of water, ⅙ ell to a side | 1 mina | 1.0011 minas | 0.1% |
| a hydrogen atom — twice the Bohr radius | 12−9 ell | 1.071 vs 1.058 Å | 1.2% |
| the kilometer | 123 ells | 955 m | 5% |
| the Planck charge | a dozen electrons | 11.71 e (α ≈ 1/144) | 2.5% |
| Earth’s gravity | a dozen ells/beat² | 11.15 | 7% |
| an adult | 3 ells, 80 minas | 1.66 m, 62 kg | — |
None of these were aimed at: the rungs were fixed by forearm, pulse, and loaf, and the list measured afterward. Coincidence is cheap at these tolerances — but the month and the water cube land close enough to enjoy.
What falls out
Because the base units are body-sized, the simple derived units are too:
| unit of | one of it | which is |
|---|---|---|
| speed | 0.697 m/s | a stroll |
| force | 0.686 N | the weight of a small apple |
| energy | 0.379 J | that apple, lifted one ell |
| frequency | 75.7 / min | the pulse itself |
| temperature | — | no rung; see below |
Temperature refuses to play. The livable range sits at 12−27.5 Planck temperatures, as exactly between two rungs as it could contrive: above is 1031 K, a kiln; below is 86 K, colder than anywhere on Earth. No honest system closes every gap. The hole stays open.
Convert
The violet figures are dozenal: ten is a turned two 2, eleven a turned three 3, and the semicolon is the dozenal point. Earth’s gravity, for instance, is 3;18 ells per beat squared.
Planck values are CODATA 2018. The twelves are exact; every meter-figure above inherits the uncertainty of Newton’s constant, about one part in 105.
Prior art: the dozenal societies of America and Great Britain; Tom Pendlebury’s TGM; Takashi Suga’s Universal Unit System. This one is smaller: three ladders, three old names, and the holes left showing.