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Unequal hours

Unequal hours is a science topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Unequal hours rather than just read about it. In short: Unequal hours are the division of the daytime and the nighttime into 12 sections each, whatever the season. They are also called temporal hours, seasonal hours, biblical or Jewish hours, as well as ancient or Roman hours (Latin: horae temporales).

Unequal hours — main illustration
Unequal hours — illustration

Key takeaways

  • Unequal hours belongs to science; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Unequal hours to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Unequal hours from memory before moving on to harder problems.

Reference excerpt

Unequal hours are the division of the daytime and the nighttime into 12 sections each, whatever the season. They are also called temporal hours, seasonal hours, biblical or Jewish hours, as well as ancient or Roman hours (Latin: horae temporales). They are unequal duration periods of time because days are longer and nights shorter in summer than in winter. Their use in everyday life was replaced in the late Middle Ages by the now common ones of equal duration. The first temporal hour of daylight begins at sunrise, the first of night at sunset. For example, if daylight and night are each divided into twelve temporal hours, midday and midnight are each the beginning of the seventh hour. A clock that displays the temporal hours is called a temporal clock.

Astronomical basics To the concept of light day corresponds the astronomical concept Day arc of the Sun. With the exception of the equator, the duration of daylight depends on the latitude and the season. At 49° north/south latitude (e.g., in Karlsruhe), it varies between 16 equinoctal hours in summer and 8 equinoctial hours in winter. Due to the continuous change of the duration of daylight over the course of the year, the duration of the day division, i.e. the temporal day hours and the temporal night hours, also changes over the year. The temporal hours of day and night are equal only at the spring and autumn equinoxes. From 66.5° north/south latitude (polar circles) the sun no longer sets (the horizon) every day in summer and rises every day in winter. Day does not occur.

History Temporal hours were common in many cultures. A division of day and night into twelve hours each was first recorded in Ancient Egypt. A similar division of day and night was later made in the Mediterranean basin from about Classical Greek Antiquity into twelve temporal hours each (Ancient Greek: ὥραι καιρικαί, romanized: horai kairikai). In Western culture they were adopted from the Roman calendar and were adopted in the European Medieval era. They had particular relevance in the fixed daily schedule of the monastic orders. This division of time allowed the work of the day -such as eating, praying, or working -to always be performed at the same (temporal) hour, regardless of season (Prayer of the Hours). This chronology is used by Jewish religious law (Halacha), hence the Jewish Halachic division of hours. Mechanical clocks encouraged the adoption of equinoctial hours.

Temporal time

For the display of temporal hours almost exclusively the sundial with Nodus as hand was once used. The position of the Sun, which varied throughout the year, served as a parameter on which the varying duration of the temporal hours during the year depended. Many astronomical clocks created during the transition to the equal-duration equinoctial hours display temporal hours in addition to the new equal-duration hours. Even where temporal hours continued to be used (especially in monasteries), the mechanical clock was used. This required two different settings for the day and for the night, or one clock each for the day and the night. For the latter, the speed of the verge escapement (Waag) was changed, for example, in 26 steps (i.e., half the numerical value of 52 weeks). In the weeks of the equinox, both clocks could be operated with the middle weight position on the balance.

See also Twilight Terminator (solar) Diurnal climate (in German) Time perception Civil time equinoctial hours equal hours Danna Julian day Chronobiology Ancient Egyptian day

Bibliography Karlheinz Deußer: Temporaluhren: Die Suche nach mechanischen Uhren, die mit Temporalstunden liefen. In: Jahresschrift der deutschen Gesellschaft für Chronometrie. Band 51, 2012, S. 143–160. Jürgen Osing: Hieratische Papyri aus Tebtunis I (Carsten Niebuhr Institute of Ancient Eastern Studies Copenhagen). Museum Tusculanum Press, Copenhagen 1998, ISBN 8-7728-9280-3. Rudolf Wendorff: Zeit und Kultur. Geschichte des Zeitbewusstseins in Europa. Westdeutscher Vlg, Wiesbaden 1980, ISBN 3-531-11515-4.

References

External links Die Temporalstunden

Illustrations

Unequal hours: Dial of a wall-mounted sundial [de] for the simultaneous display of temporal (black) and equinoctial (red) daylight hours with a dot-shaped shadow (Nodus [de]).

The equinoctial hours are equal to the temporal hours at the equinoxes; the lines of both types of hours intersect.
Dial of a wall-mounted sundial [de] for the simultaneous display of temporal (black) and equinoctial (red) daylight hours with a dot-shaped shadow (Nodus [de]). The equinoctial hours are equal to the temporal hours at the equinoxes; the lines of both types of hours intersect.
Unequal hours: The astronomical clock of the Zytglogge in Bern shows the temporal hours on curved golden lines: respective end of the hour indicated with a black number.
The astronomical clock of the Zytglogge in Bern shows the temporal hours on curved golden lines: respective end of the hour indicated with a black number.

Worked examples

Example 1 — a first encounter with Unequal hours

Start with the simplest possible case. Write down what Unequal hours claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In science, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Unequal hours before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Unequal hours ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Unequal hours

In research
Unequal hours appears in science research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Unequal hours in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Unequal hours is common in secondary-school and first-year university syllabi. It links to neighbouring topics History of timekeeping, Jewish law, Timekeeping, so understanding it makes those chapters shorter.
In everyday life
Look for Unequal hours outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.
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How to study Unequal hours in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Unequal hours means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Unequal hours out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Unequal hours in simple terms?

Unequal hours are the division of the daytime and the nighttime into 12 sections each, whatever the season. They are also called temporal hours, seasonal hours, biblical or Jewish hours, as well as ancient or Roman hours (Latin: horae temporales).

Why does Unequal hours matter?

Because it connects several science ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Unequal hours?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Unequal hours.

Tags

  • History of timekeeping
  • Jewish law
  • Timekeeping

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