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French Decimal Time Converter

Convert a normal time (HH:MM:SS) into French revolutionary decimal time, where the day has 10 hours of 100 minutes of 100 seconds each, and back. A curiosity from the 1793 French Revolution.

Result

A hora decimal revolucionária

Em 1793, a Revolução Francesa tentou decimalizar o tempo: o dia passaria a ter 10 horas, cada hora 100 minutos e cada minuto 100 segundos. Assim, meio-dia vira 5h00 decimais. O sistema durou pouco — era incompatível com os relógios existentes — mas continua sendo uma curiosidade fascinante da história da medição.

French decimal time: the 10-hour day

Along with the metre and the kilogram, revolutionary France decimalised time: a decree of October 1793 divided the day into ten hours, each of a hundred minutes of a hundred seconds. That gives a hundred thousand decimal seconds a day, against 86400 in the sexagesimal system. The decimal hour runs 2 hours 24 ordinary minutes, the decimal minute 86.4 seconds and the decimal second 0.864 of a second.

It did not last. It became optional in April 1795, under two years later, and fell out of use — the only piece of the metric system to fail outright. The reason is mundane and instructive: replacing rulers and scales is cheap, replacing every clock in a nation is not. The few surviving dual dials, ten hours on the outside and twelve within, now fetch a fortune at auction.

What remains is a lesson in why some units resist decimalisation. Length and mass are private quantities: you measure alone and the result depends on nobody. Time is coordination — it only works if everyone agrees, and the cost of switching grows with the number of people involved. It is the same reason the Swatch beat, which in 1998 tried the same thing with a unit of exactly 86.4 seconds, also failed.

Frequently asked questions

Is midnight zero or ten o'clock?
Zero. The count runs from 0 to 9 decimal hours, and the rollover falls at midnight, as on a 24-hour clock. Noon is exactly 5 decimal hours, which is the system's greatest practical advantage: half the day is a round number rather than twelve.
Did the Republican calendar use decimal time?
They are two separate decrees, though of the same period and the same spirit. The calendar, with its thirty-day months, applied from 1792 to 1805; decimal time was compulsory for a few months across 1794 and 1795. Anyone reading documents of the period finds Republican dates with ordinary hours without any contradiction.
Did anything inherit the idea?
The decimal day survives in science under another name: astronomy and geodesy record fractions of a day in decimal, and the Julian day does exactly that. The difference is that nobody tries to read the value off a clock — it is a number for calculation, and that is where decimalising time genuinely won.

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