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The LibraryODERSA publishing house
An ODERSA resource · Knowledge programmeA book only goes online once it is whole and read by someone else.

Chapter 2 of 16 · The great periods of history

Chapter 1. Counting time

The units that measure time, the way to write a century, the point from which years are counted, and why the calendar has already been corrected.

Two different questions

Measuring a duration and placing a date are two distinct operations, and confusing them is the first source of error. Measuring a duration means answering "how long". Placing a date means answering "from when do we start counting". The first question is settled with units; the second with a starting point chosen by convention.

The official history syllabus of the French state school system, published in 2026, devotes an introductory theme to these two questions, placed at the head of the last year of the course it describes. It asks that pupils know the division of time into second, minute, hour, day, week, month, year, century and millennium, and that they know the instruments for measuring time. That is the right order: you place nothing as long as you do not know in what unit you are counting.

This chapter installs both. It gives the units, the way to write a century, the way to find the century of a year, the notation of dates before and after the starting point, and the useful reminder that the calendar in use today has itself been corrected, on a known date, for a precise reason.

The units for measuring time. Column 1: the name of the unit. Column 2: its value, expressed in a smaller unit from the table. Column 3: the kind of fact it is used to measure.
UnitWhat it is worthWhat it measures
The secondThe base unit of timeA gesture, a heartbeat, a flash of lightning
The minute60 secondsA cooking time, a walk down a street
The hour60 minutesA lesson, a meal, a short journey
The day24 hoursOne turn of the Earth on itself
The week7 daysA work rhythm, a market cycle
The month28 to 31 daysA harvest season, a rent, a moon
The year12 months, that is 365 or 366 daysOne turn of the Earth around the Sun
The decade10 yearsA generation of equipment, a fashion
The century100 yearsThree to four human generations
The millennium1,000 years, that is 10 centuriesThe rise and then the fall of an empire

Why the large units are the ones history uses

An event is told in hours: a battle lasts a day, a speech lasts an hour. A history, on the other hand, is told in centuries. This is not a stylistic preference, it is a consequence of the sources: a text from the past rarely gives the hour, often the year, and sometimes only the decade. An object taken out of the ground almost never gives better than an interval of several dozen years.

The reading rule that follows from this is useful everywhere. The further back you go, the larger the unit used, and this does not mean that the people of the time lived more slowly: it means that what is left of them is less precise. A prehistoric date given to within a thousand years and a battle date given to the day are not two different levels of care, they are two different natures of source.

The year is the hinge unit. Below it, you are in the event; above it, in the period. It is also the unit that serves as the basis for the two other units of history, the century and the millennium, which are only packets of one hundred and one thousand years.

Four words that come back everywhere

These four words are used in all the following chapters. Confusing them makes a timeline unreadable.

A decade
Ten consecutive years. "The 1960s" designates the decade running from 1960 to 1969: in this case, and unlike the century, counting starts from the year ending in zero.
A century
One hundred consecutive years. The first century contains the years 1 to 100, the second the years 101 to 200, and so on. In the French convention a century is numbered in Roman numerals.
A millennium
One thousand consecutive years, that is ten centuries. The first millennium CE contains the years 1 to 1000. Millennia are used above all for ancient periods, where the exact year is unknown.
An era
A run of years counted from a chosen starting point. The word says nothing about duration: it says from what the counting starts. Several eras coexist in the world today, with different starting points.

Writing a century

In the French convention a century is written in Roman numerals. This is explicitly required by the French official syllabus, which counts writing centuries in Roman characters among the expected skills. It has a practical use: on seeing a Roman numeral in a text, you know at once that it is a century and not a year. English-language books usually write centuries in words or in ordinary figures instead; this book keeps the Roman numeral in the table below, because that is the form the convention it describes uses.

Roman numerals are written with seven letters, of which three are enough for every century known: I is one, V is five, X is ten. Letters written from left to right in decreasing order are added, and a smaller letter placed before a larger one is subtracted. So VII is seven, IX is nine, XIV is fourteen and XIX is nineteen.

The trap is not in the writing, it is in the passage from the year to the century. The number of the century is almost never the number of hundreds in the year: 1789 belongs to the eighteenth century, and not to the seventeenth nor to the nineteenth. The reason is mechanical, and the table that follows makes it visible at a glance.

Ten centuries of the Common Era, chosen between the first and the twenty-first because a year used in this book falls in each of them. Column 1: the century in Roman numerals, as the French convention writes it. Column 2: the first and the last year it contains. Column 3: a landmark year that falls in this century.
CenturyYears it containsA year from this century
I1 to 10079
V401 to 500476
VIII701 to 800800
XI1001 to 11001066
XV1401 to 15001492
XVI1501 to 16001582
XVIII1701 to 18001789
XIX1801 to 19001848
XX1901 to 20001945
XXI2001 to 21002026

Finding the century of a year, in three moves

The method holds for any year of the Common Era. It is done in your head, with nothing written down.

  1. Look at whether the year ends in two zeros
    If it does, the century is the number of hundreds itself. The year 800 is in the eighth century, the year 1500 in the fifteenth, the year 2000 in the twentieth. These are the only years where the count falls exactly right.
  2. Otherwise, take the number of hundreds and add one
    The year 1789 has 17 hundreds: 17 plus 1 gives 18, so the eighteenth century. The year 476 has 4 hundreds: 4 plus 1 gives 5, so the fifth century. The year 2026 has 20 hundreds: 20 plus 1 gives 21, so the twenty-first century.
  3. Check by writing out the limits of the century you found
    The eighteenth century contains the years 1701 to 1800. The year 1789 does fall between the two. This check takes five seconds and catches every single error in this calculation.

The cause of the shift is that there is no year zero in the historians' counting. You go straight from the year 1 BCE to the year 1 CE. The first century therefore begins at the year 1 and not at the year 0, and every century after it inherits that shift of one unit. It is also the reason why calculating a duration that crosses the starting point requires subtracting one year: from the year 5 BCE to the year 5 CE, nine years go by and not ten. Astronomers, for their part, have used another notation since the eighteenth century, described by the Institut de mécanique céleste: they call year 0 what historians call 1 BCE, and they count earlier years as negative. Both notations are correct, they do not number the same years, and you have to know which one you are reading.

Before the Common Era, Common Era

The counting of years used in the greater part of the world has a dated origin. The Institut de mécanique céleste et de calcul des éphémérides writes it thus: the use of the Christian era was introduced in 532 on a proposal by the monk Dionysius Exiguus. The same institute states that this monk had submitted to the pope, in 525, the Latin formula that names this era, and that the usage would spread first in liturgical texts: it would take several centuries, in the institute's words, for it to become common in society. This starting point then imposed itself far beyond Christendom, because trade, administration and science needed a shared count.

Two ways of naming this starting point coexist, and they designate exactly the same thing. The first says "before Christ" and "anno Domini", usually abbreviated to BC and AD. The second says "before the Common Era" and "Common Era", abbreviated to BCE and CE. No date changes between the two notations: 476 BC and 476 BCE are the same year.

This book uses the second notation, BCE and CE, and it uses it everywhere without ever mixing the two. The reason is that this book is translated and read in countries where the first assumes a religion the reader does not necessarily hold. The French edition makes the same choice for the same reason, and the French official syllabus likewise uses the secular form in its landmarks, alongside the traditional one. Both are met everywhere, and you have to be able to read both.

The two notations, word for word

What the two notations share

  • The same starting point, to the year.
  • The same direction of counting: numbers grow towards the past before the starting point, towards the present after it.
  • The absence of a year zero, in both cases.
  • The same numerical value: 3300 BCE and 3300 BC designate the same year.
  • The same use of centuries in Roman numerals, wherever that convention applies.

What separates them

  • One names a person and a religion, the other does not.
  • One is dominant in older French school publishing, the other in scientific and international publishing.
  • The abbreviations differ, which misleads a quick reader: BC and AD on one side, BCE and CE on the other.
  • Nothing else. In particular, no date, no duration and no calculation changes.

The calendar itself has been corrected

A year is not a whole number of days. The Institut de mécanique céleste et de calcul des éphémérides, at the Observatoire de Paris, gives the value of the tropical year, that is the interval between two passages of the Sun at the spring equinox: 365.242190 days. The Julian calendar, which Europe began to abandon in 1582, country by country, counts 365.25 days per year: its year is therefore slightly LONGER than the tropical year, and it falls behind the Sun. That is the word the institute uses, writing that the reform of 1582 came to correct the lag that the Julian calendar was building up against the Sun.

The gap looks minute, and it is. The institute puts a figure on it: with a mean Julian year of 365.25 days, the dates of the seasons shift by about 3 days every 400 years, that is by a month every 4000 years. Accumulated, it becomes visible. In 1582 the gap had reached ten days, and the spring equinox fell ten days before the date the calendar assigned to it. The reform known as Gregorian corrected the shift in one stroke: the day after Thursday 4 October 1582 (Julian) was Friday 15 October 1582 (Gregorian).

So that the gap would not build up again, the rule for leap years was modified. The institute puts it thus: leap years are the same as those of the Julian calendar (a year whose number is divisible by 4) except three secular years out of four, those whose number is a multiple of 100 without being a multiple of 400. The year 1900 was therefore not a leap year, and the year 2000 was one.

The reform was not applied everywhere at the same time, and the same institute gives the detail. It was adopted as early as 1582 in Italy, in Spain, in Portugal and in the Catholic Netherlands. In France it was applied in December of the same year, Monday 20 December following Sunday 9 December: the ten days suppressed there are therefore not those of October. In Great Britain it took until 1752, where 14 September followed 2 September. This has a direct consequence for anyone reading an old document: one and the same day may carry two different dates depending on the country where the document was written.

What the reform of 1582 teaches

A calendar is a tool, not a law of nature

It was designed by people, it was found to be wrong, it was corrected by other people on a known date. What holds for the calendar holds for the division into periods: these are conventions, and a convention can be revised.

Ten days were suppressed, none was lived

Between 4 and 15 October 1582 nothing happened in Italy, in Spain or in Portugal, because those days did not exist in the calendar. A date missing from a register is therefore not always an archivist's oversight.

One and the same day can carry two dates

As long as all countries had not adopted the reform, a letter leaving Rome and received in London changed date on the way. Historians signal this by writing both, or by stating which style is being used.

Other calendars exist, and they work

The Institut de mécanique céleste also describes the Muslim, Hebrew and French republican calendars and other systems. They have other starting points and other rules. None of them is an approximate version of the Gregorian calendar.

The instruments for measuring time named by the French official history syllabus, in the order in which it names them. Column 1: the instrument. Column 2: the physical principle it uses. Column 3: what it cannot do.
InstrumentWhat it rests onIts limit
The sundialThe shadow cast by the Sun, which turns over the course of the dayIt works neither at night nor in cloudy weather
The water clockThe steady flow of water from one vessel into anotherWater freezes, evaporates, and the flow varies with the level
The hourglassThe flow of sand, indifferent to coldIt measures a fixed duration, it does not give the time of day
The mechanical clockA weight or a spring unwinding, held back by an escapementIt drifts, and it has to be reset against an outside reference
The quartz clockThe very regular vibration of a crystal under an electric currentIts frequency depends slightly on temperature
The atomic clockThe proper frequency of the radiation emitted by an atomIt requires a laboratory, and it is useless for reading the time of an appointment

What this chapter leaves in hand

Three moves are acquired from here on, and the following chapters assume them. The first is naming the right unit: a duration counted in centuries is not told in years, and the reverse is true too. The second is going from a year to its century, in both directions, checking by the limits. The third is reading a date in both notations without getting the direction wrong.

A fourth acquisition is less technical and more important. The calendar in use today is the result of a dated correction, decided for a measurable reason, applied on different dates depending on the country. It did not fall from the sky, and it is not the only way of counting years. This idea comes back in the next chapter, then in the chapter on the five periods, where it becomes central.