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Decimal time

Ten hours in a day, a hundred minutes in an hour, a hundred seconds in a minute — the metric clock, live.

9:23:01
22:09:08 on the ordinary clock

Sat, 15 Aug 2026 · UTC

10 × 100 × 100 1 decimal hour = 2 h 24 m 1 decimal minute = 1 min 26.4 s 1 decimal second = 0.864 s

Reading it

The decimal clock says how far through the day you are, in tenths, hundredths and hundred-thousandths. Midday is 5:00 exactly. Anything before 5 is morning, anything after is afternoon, and there is no am or pm to get wrong.

Through the day
92.30%since midnight
Same instant in beats
@964Internet Time

Convert

Ordinary time → decimal
Decimal → ordinary time

Decimal time is a way of counting the local day, so this conversion holds in every zone at once.

Hour by hour

Ordinary12-hourDecimal
00:00 12:00 am 0:00
01:00 1:00 am 0:41
02:00 2:00 am 0:83
03:00 3:00 am 1:25
04:00 4:00 am 1:66
05:00 5:00 am 2:08
06:00 6:00 am 2:50
07:00 7:00 am 2:91
08:00 8:00 am 3:33
09:00 9:00 am 3:75
10:00 10:00 am 4:16
11:00 11:00 am 4:58
12:00 12:00 pm 5:00
13:00 1:00 pm 5:41
14:00 2:00 pm 5:83
15:00 3:00 pm 6:25
16:00 4:00 pm 6:66
17:00 5:00 pm 7:08
18:00 6:00 pm 7:50
19:00 7:00 pm 7:91
20:00 8:00 pm 8:33
21:00 9:00 pm 8:75
22:00 10:00 pm 9:16
23:00 11:00 pm 9:58
Decimal hourOrdinary12-hour
0:00 00:00 12:00 am
1:00 02:24 2:24 am
2:00 04:48 4:48 am
3:00 07:12 7:12 am
4:00 09:36 9:36 am
5:00 12:00 12:00 pm
6:00 14:24 2:24 pm
7:00 16:48 4:48 pm
8:00 19:12 7:12 pm
9:00 21:36 9:36 pm

The seventeen months it was the law

Revolutionary France metricated everything it could reach — length, weight, the calendar — and the day was an obvious target. A day divided by ten, then by a hundred, then by a hundred again gives 100,000 decimal seconds, every unit a round fraction of the whole. Decimal time became official on 24 November 1793 and was suspended on 7 April 1795.

It failed for the reason metric time keeps failing: the day is the only unit anybody was arguing about, and replacing it means replacing every clock in the country at once. Watchmakers hedged by building dials with both scales, decimal on the inside ring and the old twelve hours on the outside; a few of those survive in museums and they are the most legible argument against the whole project.

Doing it by hand is easy in one direction and annoying in the other. Ordinary to decimal: seconds since midnight, divided by 0.864. Decimal to ordinary: multiply by 0.864 and turn the result back into hours, minutes and seconds. Midday, 43,200 seconds in, lands on exactly 5:00.

The idea keeps coming back under the name metric time, and it is worth knowing that the metric system itself never adopted it: SI kept the second and built everything on top of that instead, which is why a metre-kilogram-second world still tells the time in sixties.

Other ways to cut up a day

A decimal minute and a .beat are the same 86.4 seconds. The difference is where they start counting: your local midnight, or midnight in Biel.

Questions people ask

What is the decimal time right now?

9:23:01 in UTC — 9 decimal hours, 23 decimal minutes and 01 decimal seconds since midnight. On an ordinary clock that is 22:09:08, or 92.30% of the way through the day.

How does decimal time divide the day?

Ten hours in a day, a hundred minutes in an hour, a hundred seconds in a minute — so a day is 100,000 decimal seconds instead of 86,400 ordinary ones. Every unit is a round fraction of the day, which is the whole argument for it.

How long is a decimal hour, minute and second?

A decimal hour is 2 hours 24 minutes. A decimal minute is 1 minute 26.4 seconds. A decimal second is 0.864 of an ordinary second, so it is slightly faster than the tick you are used to.

Is decimal time the same as metric time?

They are the same idea and usually the same clock. "Metric time" is the general name for measuring the day in powers of ten; the 10/100/100 clock on this page is the French Revolutionary version, the only one that was ever a country's legal time.

Was decimal time ever actually used?

Yes, briefly. Revolutionary France made it official on 24 November 1793 and suspended it on 7 April 1795 — about seventeen months. Clockmakers built dials with both scales on them, a few of which survive, and the idea has been proposed again roughly every generation since.

Does decimal time change with daylight saving?

It follows whatever the local clock does, because it is a way of counting the same day. When a zone puts its clocks forward, its decimal time jumps with them; the two scales stay locked to each other, not to each other's history.