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Sothic cycle

Sothic cycle 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 Sothic cycle rather than just read about it. In short: The Sothic cycle or Canicular period (Ancient Egyptian: spdt or Sopdet, 'Triangle'; Ancient Greek: Σῶθις, Sō̂this) is a period of 1,461 Egyptian civil years of 365 days each or 1,460 Julian years averaging 365+1⁄4 days each. During a Sothic cycle, the 365-day year loses enough time that the start of its year once again coincides with the heliacal rising of the star Sirius on 19 July in the Julian calendar.

Sothic cycle — main illustration
Sothic cycle — illustration

Key takeaways

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

Reference excerpt

The Sothic cycle or Canicular period (Ancient Egyptian: spdt or Sopdet, 'Triangle'; Ancient Greek: Σῶθις, Sō̂this) is a period of 1,461 Egyptian civil years of 365 days each or 1,460 Julian years averaging 365+1⁄4 days each. During a Sothic cycle, the 365-day year loses enough time that the start of its year once again coincides with the heliacal rising of the star Sirius on 19 July in the Julian calendar. It is an important aspect of Egyptology, particularly with regard to reconstructions of the Egyptian calendar and its history. Astronomical records of this displacement may have been responsible for the later establishment of the more accurate Julian and Alexandrian calendars.

Mechanics The ancient Egyptian civil year, its holidays, and religious records reflect its apparent establishment at a point when the return of the bright star Sirius to the night sky was considered to herald the annual flooding of the Nile. However, because the civil calendar was exactly 365 days long and did not incorporate leap years until 22 BCE, its months "wandered" backwards through the solar year at the rate of about one day in every four years. This almost exactly corresponded to its displacement against the Sothic year as well. (The Sothic year is about a minute longer than a Julian year.) The sidereal year of 365.25636 days is valid only for stars on the ecliptic (the apparent path of the Sun across the sky) and having no proper motion, whereas Sirius's displacement ~40° below the ecliptic, its proper motion, and the wobbling of the celestial equator cause the period between its heliacal risings to be almost exactly 365.25 days long instead. This steady loss of one relative day every four years over the course of the 365-day calendar meant that the "wandering" day would return to its original place relative to the solar and Sothic year after precisely 1461 Egyptian civil years or 1460 Julian years.

Discovery This calendar cycle was well known in antiquity. Censorinus described it in his book De Die Natale, in CE 238, and stated that the cycle had renewed 100 years earlier on the 12th of August. In the ninth century, Syncellus epitomized the Sothic Cycle in the "Old Egyptian Chronicle." Isaac Cullimore, an early Egyptologist and member of the Royal Society, published a discourse on it in 1833 in which he was the first to suggest that Censorinus had fudged the terminus date, and that it was more likely to fall in CE 136. He also computed the likely date of its invention as being around 1600 BCE. In 1904, seven decades after Cullimore, Eduard Meyer carefully combed known Egyptian inscriptions and written materials to find any mention of the calendar dates when Sirius rose at dawn. He found six of them, on which the dates of much of conventional Egyptian chronology are based. A heliacal rise of Sirius was recorded by Censorinus as having happened on the Egyptian New Year's Day between 139 CE and 142 CE. The record itself actually refers to 21 July 140 CE, but astronomical calculation definitely dates the heliacal rising at 20 July 139 CE, Julian. This correlates the Egyptian calendar to the Julian calendar. A Julian leap day occurs in 140 CE, and so the new year on 1 Thoth is 20 July in 139 CE but it is 19 July for 140–142 CE. Thus Meyer was able to compare the Egyptian civil calendar date on which Sirius was observed rising heliacally to the Julian calendar date on which Sirius ought to have risen, count the number of intercalary days needed, and determine how many years were between the beginning of a cycle and the observation. To calculate a date astronomically, one also needs to know the place of observation, since the latitude of the observation changes the day when the heliacal rising of Sirius can be seen, and mislocating an observation can potentially throw off the resulting chronology by several decades. Official observations are known to have been made at Heliopolis (or Memphis, near Cairo), Thebes, and Elephantine (near Aswan), with the rising of Sirius observed at Cairo about 8 days after it is seen at Aswan. Meyer concluded that the Egyptian civil calendar was created in 4241 BCE. Recent scholarship, however, has discredited that claim. Most scholars either move the observation upon which he based this forward by one cycle of Sirius, to 19 July 2781 BCE, or reject the assumption that the document on which Meyer relied indicates a rise of Sirius at all.

Chronological interpretation Three specific observations of the heliacal rise of Sirius are extremely important for Egyptian chronology. The first is the aforementioned ivory tablet from the reign of Djer which supposedly indicates the beginning of a Sothic cycle, the rising of Sirius on the same day as the new year. If this does indicate the beginning of a Sothic cycle, it must date to about 17 July 2773 BCE. However, this date is too late for Djer's reign, so many scholars believe that it indicates a correlation between the rising of Sirius and the Egyptian lunar calendar, instead of the solar Egyptian civil calendar, which would render the tablet essentially devoid of chronological value. Gautschy et al. (2017) claimed that a newly discovered Sothis date from the Old Kingdom and a subsequent astronomic study confirms the Sothic cycle model. The second observation is clearly a reference to a heliacal rising, and is believed to date to the seventh year of Senusret III. This observation was almost certainly made at Itj-Tawy, the Twelfth Dynasty capital, which would date the Twelfth Dynasty from 1963 to 1786 BCE. The Ramses or Turin Papyrus Canon says 213 years (1991–1778 BCE), Parker reduces it to 206 years (1991–1785 BCE), based on 17 July 1872 BCE as the Sothic date (120th year of 12th dynasty, a drift of 30 leap days). Prior to Parker's investigation of lunar dates, the 12th dynasty was placed as 213 years of 2007–1794 BCE interpreting the date 21 July 1888 BCE as the 120th year, and then for 2003–1790 BCE interpreting the date 20 July 1884 BCE as the 120th year. The third observation was in the reign of Amenhotep I, and, assuming it was made in Thebes, dates his reign between 1525 and 1504 BCE. If made in Memphis, Heliopolis, or some other Delta site instead, as a minority of scholars still argue, the entire chronology of the 18th Dynasty needs to be extended some 20 years.

… excerpt ends here. Continue reading the full article.

Illustrations

Sothic cycle: Sirius (bottom) and Orion (right). The Winter Triangle is formed from the three brightest stars in the northern winter sky: Sirius, Betelgeuse (top right), and Procyon (top left).
Sirius (bottom) and Orion (right). The Winter Triangle is formed from the three brightest stars in the northern winter sky: Sirius, Betelgeuse (top right), and Procyon (top left).
Sothic cycle: Sirius as the brightest star in the constellation Canis Major as observed from the Earth (lines added for clarity).
Sirius as the brightest star in the constellation Canis Major as observed from the Earth (lines added for clarity).

Worked examples

Example 1 — a first encounter with Sothic cycle

Start with the simplest possible case. Write down what Sothic cycle 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 Sothic cycle 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 Sothic cycle 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 Sothic cycle

In research
Sothic cycle 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 Sothic cycle 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
Sothic cycle is common in secondary-school and first-year university syllabi. It links to neighbouring topics Chronology, Egyptian calendar, Egyptology, so understanding it makes those chapters shorter.
In everyday life
Look for Sothic cycle 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 Sothic cycle in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Sothic cycle 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 Sothic cycle out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Sothic cycle in simple terms?

The Sothic cycle or Canicular period (Ancient Egyptian: spdt or Sopdet, 'Triangle'; Ancient Greek: Σῶθις, Sō̂this) is a period of 1,461 Egyptian civil years of 365 days each or 1,460 Julian years averaging 365+1⁄4 days each. During a Sothic cycle, the 365-day year loses enough time that the start o…

Why does Sothic cycle 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 Sothic cycle?

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 Sothic cycle.

Tags

  • Chronology
  • Egyptian calendar
  • Egyptology
  • Sirius
  • Units of time

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