How the Enoch clock works

The 364-day mystery

A solar year lasts about 365.24 days, so a calendar that wants to stay with the seasons has to account for the extra quarter day. The Gregorian calendar, the one we all use, does it by adding: a leap day every four years, with further rules at the century marks, so that over long spans the calendar and the sun stay together.

The Enoch calendar adds nothing. Its year is 364 days, exactly 52 weeks, and it never changes. That is the mystery: how can a year that is fixed, and 1.24 days shorter than the sun’s, stay with the seasons?

Adding or removing days is strictly forbidden

One principle of the Enoch clock is not negotiable: days are never added and never removed.

Scholars have long tried to reconcile that with the sun anyway, proposing intercalations, which are days or weeks inserted to pull a calendar back into line. Enoch forbids that road, and asks for something else:

And the sun and the stars bring in all the years exactly, so that they do not advance or delay their position by a single day unto eternity; but complete the years with perfect justice in 364 days.

1 Enoch 74:12

Left alone, a 364-day calendar moves away from the seasons by 1.24 days every year, until at year 147 it is half a year out and the clock says summer while the sky says winter. After about 294 years it has been all the way round. That is the number the Qumran scrolls give for the cycle (4Q319: “the year completes its cycle”), a clue to what the calendar is doing. The arithmetic is striking: 294 years of 364 days is 107,016 days, and that equals 293 solar years to within 55 minutes.

The shift: the calendar turns one day against the sun, every 294 days

Every 294 days, which is 42 weeks, the calendar turns one day against the sun. Start a year on the equinox and see what that does.

A year is 364 days and the shift comes every 294, so most years carry one shift and about one in four carries two.

The shift is not an intercalation. When the calendar drifts from the sun, every 294 days, it is turned back into alignment, and nothing is interrupted: the days, weeks, months and years continue as before. Every other calendar answers drift by changing the count, adding or dropping days, or by aligning through observation. Scholars have called the Enoch calendar “hopelessly primitive” and “astronomically unworkable” (Stern 2001). Enoch forbids changing the count. Here the calendar is left unchanged and turned against the sun instead. Of every known calendar that keeps pace with the seasons, none does it this way.

The Evidence page measures how well this holds across 30,000 years.

Sunrise starts the day, spring starts the year

Now that you know why the clock turns, let’s learn to read it.

The Gregorian calendar starts its day in the middle of the night and its year in the middle of winter. The Enoch clock starts its day at sunrise and its year in spring, at the equinox.

In this way he rises in the first month in the great portal, which is the fourth.

1 Enoch 72:6

Press 1 for the Sky to watch that sunrise.

The pendulum swing of the sun

Hold the time at the first part of the day, the sunrise, and step through the days. The sun never rises in the same place twice.

Its rising point swings along the horizon like a pendulum: north toward summer, back through due east at the equinox, south toward winter, and back again. Like a pendulum, it moves fastest through the middle and slows at each end, where it turns around. The turning points are the solstices.

You can make the same swing visible in the app. Choose Day in the playback bar, hold the time at the first part of the day, and press the right arrow or play.

What are the portals?

The portals are the measure the sun makes, with the months as the dividers.

The sun’s rising point moves a little each morning, and the month borders cut its path into portals. The months divide the horizon, and they size the portals: some are larger and some smaller.

The pendulum explains the sizes. Where the sun moves fastest, through the middle, a month covers a wide stretch of horizon, so those portals are large. Where it slows toward the ends, a month covers a narrow stretch, so those portals are small.

That gives us a ruler for measuring the rising and setting of the planets and stars along the sun’s path, the ecliptic, as seen from the Earth. A planet that rises in the second portal and later in the third has moved a measurable distance against a ruler everyone shares, and that is what makes the calendar an observatory: detailed celestial measurements, recorded and compared.

The film follows the sun through the portals, month by month.

Try it in the Sky: click a planet or a star, and the app shows where it rises and sets against the portals.

Day and night

The portals also tell you how long the day is.

The day, from sunrise to sunrise, is divided into eighteen parts, and the portals carry a rule for how those parts are shared between light and dark. At the equinox, day and night are equal, nine parts each. As the sun moves north toward summer, the day grows until it is double the night, twelve parts to six. Toward winter it reverses: six parts of day to twelve of night.

The rule is not exact, since where you stand on the Earth decides the true ratio, but it describes how day and night behave through the year. The Evidence page shows where on Earth the text’s 2:1 is exact: between 47° and 50° N.

On the Dial, the ring of the 18 parts turns as the day goes by, so you can read the share of light and dark at any moment.

Cycles inside of cycles

The clock is cycles inside of cycles, and each one fits the next exactly.

Read each row from left to right. The weeks build the seasons and the year. The 24 priestly courses build six years, and 49 of those make 294 years. The correction is 294 days, which is 42 weeks, and the priests’ great cycle is 294 years: the same 294.

On the Dial, the ring of the 24 courses shows each one as a week, with its seven days as the inner cells.

Where the 294 day shifts occur

Now you have everything you need to read the clock itself, and the Dial is where it all comes together.

On the Dial, every ring is turned so that its current value sits on the Sun’s line, which stays fixed. That is the rotation from section 3, made visible: the rings turn, and the Sun’s line reads each exact value.

The Correction ring counts the 294 days. 294 is 7 × 42, and 42 is 7 × 6, so the ring is built from weeks. A silver triangle marks the day each cycle opens, the day of the shift. Press 2 for the Dial, choose Day in the playback bar, and watch for the triangle: that is where a shift occurs. Some years show it twice.

Then press 1 to go back to the Sky and look at the same morning from the ground: the sun rising in its portal, and the planets and stars rising and setting beside it. Finding a rise or a setting in one view, and then in the other, is how you learn the clock.

Where you stand, and when

The portals are read at one place on the Earth. Move the place, and the portals and the parts of the day move with it.

Press 4 for Atlas, or tap the place at the top of the screen. Atlas shows the same instant from outside the Earth: the half in daylight, the points where the sun and moon stand overhead, and the stars and planets behind. Drag the globe to move the place under the crosshair. While you drag, Atlas reads what a year there would show: how wide the portals swing and how long the longest and shortest days are. Let go, and the year is calculated there.

Near the equator the portals are narrow and day and night stay close to equal. Further north they widen, until a red line: beyond it the sun does not rise on some day of the year, and there is no Enoch day to count. That line moves with the tilt of the Earth’s axis. Oulu, in Finland, has a year today and none around 7500 BCE.

In Atlas’s details, When chooses the date: Gregorian with BCE and CE, or Enoch, and the time of day on the same bar as The Day, with the sun’s and the moon’s risings and settings as stops. Moments holds a hundred chosen places, from Qumran to Newgrange. ☆ Save, on every view, keeps the place and the instant you are looking at, with a name and a note. Moments stay on your device, and each one is a link you can send.