# Egyptian calendar

The ancient Egyptian calendar – a civil calendar – was a solar calendar with a 365-day year. The year consisted of three seasons of 120 days each, plus an intercalary month of five epagomenal days treated as outside of the year proper. Each season was divided into four months of 30 days. These twelve months were initially numbered within each season but came to also be known by the names of their principal festivals. Each month was divided into three 10-day periods known as decans or decades. It has been suggested that during the Nineteenth Dynasty and the Twentieth Dynasty the last two days of each decan were usually treated as a kind of weekend for the royal craftsmen, with royal artisans free from work.
Because this calendrical year was nearly a quarter of a day shorter than the solar year, the Egyptian calendar lost about one day every four years relative to the Gregorian calendar. It is therefore sometimes referred to as the wandering year (Latin: annus vagus), as its months rotated about one day through the solar year every four years. Ptolemy III's Canopus Decree attempted to correct this through the introduction of a sixth epagomenal day every four years but the proposal was resisted by the Egyptian priests and people and abandoned until the establishment of the Alexandrian or Coptic calendar by Augustus. The introduction of a leap day to the Egyptian calendar made it equivalent to the reformed Julian calendar, although by extension it continues to diverge from the Gregorian calendar at the turn of most centuries.
This civil calendar ran concurrently with an Egyptian lunar calendar which was used for some religious rituals and festivals. Some Egyptologists have described it as lunisolar, with an intercalary month supposedly added every two or three years to maintain its consistency with the solar year, but no evidence of such intercalation before the 4th century BC has yet been discovered.

## History
### Prehistory

   Setting a calendar by the Nile flood would be about as vague a business as if we set our calendar by the return of the Spring violets.
Current understanding of the earliest development of the Egyptian calendar remains speculative. A tablet from the reign of the First Dynasty pharaoh Djer (c. 3000 BC) was once thought to indicate that the Egyptians had already established a link between the heliacal rising of Sirius (Ancient Egyptian: Spdt or Sopdet, "Triangle"; Ancient Greek: Σῶθις, Sôthis) and the beginning of their year, but more recent analysis has questioned whether the tablet's picture refers to Sirius at all. Similarly, based on the Palermo Stone, Alexander Scharff proposed that the Old Kingdom observed a 320-day year, but his theory has not been widely accepted. Some evidence suggests the early civil calendar had 360 days, although it might merely reflect the unusual status of the five epagomenal days as days "added on" to the proper year.
With its interior effectively rainless for thousands of years, ancient Egypt was "a gift of the river" Nile, whose annual flooding organized the natural year into three broad natural seasons known to the Egyptians as:
* Inundation or Flood (Ancient Egyptian: Ꜣḫt, sometimes anglicized as Akhet): roughly from September to January.
* Emergence or Winter (Prt, sometimes anglicized as Peret): roughly from January to May.
* Low Water or Harvest or Summer (Šmw, sometimes anglicized as Shemu): roughly from May to September.
As early as the reign of Djer (c. 3000 BC, Dynasty I), yearly records were being kept of the flood's high-water mark. Otto E. Neugebauer noted that a 365-day year can be established by averaging a few decades of accurate observations of the Nile flood without any need for astronomical observations, although the great irregularity of the flood from year to year and the difficulty of maintaining a sufficiently accurate Nilometer and record in prehistoric Egypt has caused other scholars to doubt that it formed the basis for the Egyptian calendar. Note that the names of the three natural seasons were incorporated into the Civil calendar year (see below), but as this calendar year is a wandering year, the seasons of this calendar slowly rotate through the natural solar year, meaning that Civil season Akhet/Inundation only occasionally coincided with the Nile inundation.

### Lunar calendar

The Egyptians appear to have used a purely lunar calendar prior to the establishment of the solar civil calendar in which each month began on the morning when the waning crescent moon could no longer be seen. Until the closing of Egypt's polytheist temples under the Byzantines, the lunar calendar continued to be used as the liturgical year of various cults. The lunar calendar divided the month into four weeks, reflecting each quarter of the lunar phases. Because the exact time of morning considered to begin the Egyptian day remains uncertain and there is no evidence that any method other than observation was used to determine the beginnings of the lunar months prior to the 4th century BC, there is no sure way to reconstruct exact dates in the lunar calendar from its known dates. The difference between beginning the day at the first light of dawn or at sunrise accounts for an 11–14 year shift in dated observations of the lunar cycle. It remains unknown how the Egyptians dealt with obscurement by clouds when they occurred and the best current algorithms have been shown to differ from actual observation of the waning crescent moon in about one-in-five cases.
Parker and others have argued for its development into an observational and then calculated lunisolar calendar which used a 30 day intercalary month every two to three years to accommodate the lunar year's loss of about 11 days a year relative to the solar year and to maintain the placement of the heliacal rising of Sirius within its twelfth month. No evidence for such a month, however, exists in the present historical record.
Temple Month Ꜣbd n ḥwt-nṯr in hieroglyphs :
A second lunar calendar is attested by a demotic astronomical papyrus dating to sometime after 144 AD which outlines a lunisolar calendar operating in accordance with the Egyptian civil calendar according to a 25 year cycle. The calendar seems to show its month beginning with the first visibility of the waxing crescent moon, but Parker displayed an error in the cycle of about a day in 500 years, using it to show the cycle was developed to correspond with the new moon around 357 BC. This date places it prior to the Ptolemaic period and within the native Egyptian Dynasty XXX. Egypt's 1st Persian occupation, however, seems likely to have been its inspiration. This lunisolar calendar's calculations apparently continued to be used without correction into the Roman period, even when they no longer precisely matched the observable lunar phases.
The days of the lunar month — known to the Egyptians as a "temple month" — were individually named and celebrated as stages in the life of the moon god, variously Thoth in the Middle Kingdom or Khonsu in the Ptolemaic era: "He ... is conceived ... on Psḏntyw; he is born on Ꜣbd; he grows old after Smdt".
Days of the lunar month :
| Day | Name | Name | Name |
| Day | Egyptian | Egyptian | Meaning (if known) |
| 1 | | Psḏtyw | Literal meaning unknown but possibly related to the Ennead; the day of the New Moon. |
| 2 | | Tp Ꜣbd Ꜣbd | "Beginning the Month" or "The Month"; the beginning of the Crescent Moon. |
| 3 | | Mspr | "Arrival" |
| 4 | | Prt Sm | "The Going Forth of the Sm", a kind of priest |
| 5 | | I͗ḫt Ḥr Ḫꜣwt | "Offerings upon the Altar" |
| 6 | | Snt | "The Sixth" |
| 7 | | Dnı͗t | "Partial"; the first-quarter day. |
| 8 | | Tp | Unknown |
| 9 | | Kꜣp | Unknown |
| 10 | | Sı͗f | Unknown |
| 11 | | Stt | Unknown |
| 12 | | Unknown | "Partial" the second-quarter day. |
| 13 | | Mꜣꜣ Sṯy | Unknown |
| 14 | | Sı͗ꜣw | Unknown |
| 15 | | Smdt Tp Smdt | Literal meaning uncertain; the day of the Full Moon. |
| 16 | | Mspr Sn Nw Ḥbs Tp | "Second Arrival" "Covering the Head" |
| 17 | | Sı͗ꜣw | Second Quarter Day |
| 18 | | I͗ꜥḥ | "Day of the Moon" |
| 19 | | Sḏm Mdwf | Unknown |
| 20 | | Stp | Unknown |
| 21 | | Ꜥprw | Unknown |
| 22 | | Pḥ Spdt | Unknown |
| 23 | | Dnı͗t | "Partial"; the third-quarter day. |
| 24 | | Knḥw | Unknown |
| 25 | | Stt | Unknown |
| 26 | | Prt | "The Going Forth" |
| 27 | | Wšb | Unknown |
| 28 | | Ḥb Sd Nwt | "The Jubilee of Nut" |
| 29 | | Ꜥḥꜥ | Unknown |
| 30 | | Prt Mn | "The Going Forth of Min" |

### Civil calendar

The civil calendar was established at some early date in or before the Old Kingdom, with probable evidence of its use early in the reign of Shepseskaf (c. 2510 BC, Dynasty IV) and certain attestation during the reign of Neferirkare (mid-25th century BC, Dynasty V). It was probably based upon astronomical observations of Sirius whose reappearance in the sky closely corresponded to the average onset of the Nile flood through the 5th and 4th millennium BC. A recent development is the discovery that the 30-day month of the Mesopotamian calendar dates as late as the Jemdet Nasr Period (late 4th-millennium BC), a time Egyptian culture was borrowing various objects and cultural features from the Fertile Crescent, leaving open the possibility that the main features of the calendar were borrowed in one direction or the other as well.
The civil year comprised exactly 365 days, divided into 12 months of 30 days each and an intercalary month of five days, which were celebrated as the birthdays of the gods Osiris, Horus, Set, Isis, and Nephthys. The regular months were grouped into Egypt's three seasons, which gave them their original names, and divided into three 10-day periods known as decans or decades. In later sources, these were distinguished as "first", "middle", and "last". It has been suggested that during the Nineteenth Dynasty and the Twentieth Dynasty the last two days of each decan were usually treated as a kind of weekend for the royal craftsmen, with royal artisans free from work. Dates were typically expressed in a YMD format, with a pharaoh's regnal year followed by the month followed by the day of the month. For example, the New Year occurred on I Akhet 1.
Lord of Years Nb Rnpt in hieroglyphs :
The importance of the calendar to Egyptian religion is reflected in the use of the title "Lord of Years" (Nb Rnpt) for its various creator gods. Time was also considered an integral aspect of Maat, the cosmic order which opposed chaos, lies, and violence.
The civil calendar was apparently established in a year when Sirius rose on its New Year (I Akhet 1) but, because of its lack of leap years, it began to slowly cycle backwards through the solar year. Sirius itself, about 40° below the ecliptic, follows a Sothic year almost exactly matching that of the Sun, with its reappearance now occurring at the latitude of Cairo (ancient Heliopolis and Memphis) on 19 July (Julian), only two or three days later than its occurrence in early antiquity.
Following Censorinus and Meyer, the standard understanding was that, four years from the calendar's inception, Sirius would have no longer reappeared on the Egyptian New Year but on the next day (I Akhet 2); four years later, it would have reappeared on the day after that; and so on through the entire calendar until its rise finally returned to I Akhet 1 1460 years after the calendar's inception, an event known as "apocatastasis". Owing to the event's extreme regularity, Egyptian recordings of the calendrical date of the rise of Sirius have been used by Egyptologists to fix its calendar and other events dated to it, at least to the level of the four-Egyptian-year periods which share the same date for Sirius's return, known as "tetraëterides" or "quadrennia". For example, an account that Sothis rose on III Peret 1—the 181st day of the year—should show that somewhere 720, 721, 722, or 723 years have passed since the last apocatastasis. Following such a scheme, the record of Sirius rising on II Shemu 1 in 239 BC implies apocatastases on 1319 and 2779 BC ±3 years. Censorinus's placement of an apocatastasis on 21 July AD 139 permitted the calculation of its predecessors to 1322, 2782, and 4242 BC. The last is sometimes described as "the first exactly dated year in history" but, since the calendar is attested before Dynasty XVIII and the last date is now known to far predate early Egyptian civilization, it is typically credited to Dynasty II around the middle date.
Heliacal rising of Sirius at Heliopolis :
| Year | Date | Date | Date |
| Year | Egyptian | Julian | Gregorian |
| 3500 BC | III Peret 3 | July 16 | June 18 |
| 3000 BC | III Shemu 8 | July 16 | June 22 |
| 2500 BC | III Akhet 8 | July 16 | June 26 |
| 2000 BC | III Peret 14 | July 17 | June 30 |
| 1500 BC | III Shemu 19 | July 17 | July 4 |
| 1000 BC | III Akhet 19 | July 17 | July 8 |
| 500 BC | III Peret 25 | July 18 | July 13 |
| AD 1 | III Shemu 30 | July 18 | July 16 |
| AD 500 | IV Akhet 2 | July 20 | July 22 |
The classic understanding of the Sothic cycle relies, however, on several potentially erroneous assumptions. Following Scaliger, Censorinus's date is usually emended to 20 July but ancient authorities give a variety of 'fixed' dates for the rise of Sirius. His use of the year 139 seems questionable, as 136 seems to have been the start of the tetraëteris and the later date chosen to flatter the birthday of Censorinus's patron. Perfect observation of Sirius's actual behavior during the cycle—including its minor shift relative to the solar year—would produce a period of 1457 years; observational difficulties produce a further margin of error of about two decades. Although it is certain the Egyptian day began in the morning, another four years are shifted depending on whether the precise start occurred at the first light of dawn or at sunrise. It has been noted that there is no recognition in surviving records that Sirius's minor irregularities sometimes produce a triëteris or penteteris (three- or five-year periods of agreement with an Egyptian date) rather than the usual four-year periods and, given that the expected discrepancy is no more than 8 years in 1460, the cycle may have been applied schematically according to the civil years by Egyptians and the Julian year by the Greeks and Romans. The occurrence of the apocatastasis in the 2nd millennium BC so close to the great political and sun-based religious reforms of Amenhotep IV/Akhenaton also leaves open the possibility that the cycle's strict application was occasionally subject to political interference. The record and celebration of Sirius's rising would also vary by several days (equating to decades of the cycle) in eras when the official site of observation was moved from near Cairo. The return of Sirius to the night sky varies by about a day per degree of latitude, causing it to be seen 8–10 days earlier at Aswan than at Alexandria, a difference which causes Rolf Krauss to propose dating much of Egyptian history decades later than the present consensus.

### Ptolemaic calendar

Following Alexander the Great's conquest of the Persian Empire, the Macedonian Ptolemaic Dynasty came to power in Egypt, continuing to use its native calendars with Hellenized names. In 238 BC, Ptolemy III's Canopus Decree ordered that every 4th year should incorporate a sixth day in its intercalary month, honoring him and his wife as gods equivalent to the children of Nut. The reform was resisted by the Egyptian priests and people and was abandoned.

### Coptic calendar

Egyptian scholars were involved with the establishment of Julius Caesar's reform of the Roman calendar, although the Roman priests initially misapplied its formula and—by counting inclusively—added leap days every three years instead of every four. The mistake was corrected by Augustus through omitting leap years for a number of cycles until AD 4. As the personal ruler of Egypt, he also imposed a reform of its calendar in 26 or 25 BC, possibly to correspond with the beginning of a new Callipic cycle, with the first leap day occurring on 6 Epag. in the year 22 BC. This "Alexandrian calendar" corresponds almost exactly to the Julian, causing 1 Thoth to remain at 29 August except during the year before a Julian leap year, when it occurs on 30 August instead. The calendars then resume their correspondence after 4 Phamenoth / 29 February of the next year.

## Months

For much of Egyptian history, the months were not referred to by individual names, but were rather numbered within the three seasons. As early as the Middle Kingdom, however, each month had its own name. These finally evolved into the New Kingdom months, which in turn gave rise to the Hellenized names that were used for chronology by Ptolemy in his Almagest and by others. Copernicus constructed his tables for the motion of the planets based on the Egyptian year because of its mathematical regularity. A convention of modern Egyptologists is to number the months consecutively using Roman numerals.
A persistent problem of Egyptology has been that the festivals which give their names to the months occur in the next month. Alan Gardiner proposed that an original calendar governed by the priests of Ra was supplanted by an improvement developed by the partisans of Thoth. Parker connected the discrepancy to his theories concerning the lunar calendar. Sethe, Weill, and Clagett proposed that the names expressed the idea that each month culminated in the festival beginning the next.
Months :
| Egyptological | English | Egyptian | Egyptian | Egyptian | Greek | Greek | Coptic | Coptic |
| Egyptological | English | Seasonal | Middle Kingdom | New Kingdom |
| I | I Akhet Thoth | 1st Month of Flood 1 Ꜣḫt | Tḫy | Ḏḥwti | Θωθ | Thōth | Ⲑⲱⲟⲩⲧ | Tôut |
| II | II Akhet Phaophi | 2nd Month of Flood 2 Ꜣḫt | Mnht | P(Ꜣ) n-ip.t | Φαωφί | Phaōphí | Ⲡⲁⲱⲡⲉ | Baôba |
| III | III Akhet Athyr | 3rd Month of Flood 3 Ꜣḫt | Ḥwt-ḥwr | Ḥwt-ḥr(w) | Ἀθύρ | Athúr | Ϩⲁⲑⲱⲣ | Hatûr |
| IV | IV Akhet Choiak | 4th Month of Flood 4 Ꜣḫt | KꜢ-ḥr-KꜢ | KꜢ-ḥr-KꜢ | Χοιάκ | Khoiák | Ⲕⲟⲓⲁⲕ Ⲕⲓⲁϩⲕ | Koiak Kiahk |
| V | I Peret Tybi | 1st Month of Growth 1 Prt | Sf-Bdt | TꜢ-ꜥ(Ꜣ)bt | Τυβί | Tubí | Ⲧⲱⲃⲓ | Tôbi |
| VI | II Peret Mechir | 2nd Month of Growth 2 Prt | Rḫ Wr | P(Ꜣ) n-pꜢ-mḫrw | Μεχίρ | Mekhír | Ⲙⲉϣⲓⲣ | Meshir |
| VII | III Peret Phamenoth | 3rd Month of Growth 3 Prt | Rḫ Nds | P(Ꜣ) n-imn-ḥtp | Φαμενώθ | Phamenṓth | Ⲡⲁⲣⲉⲙϩⲁⲧ | Baramhat |
| VIII | IV Peret Pharmuthi | 4th Month of Growth 4 Prt | Rnwt | P(Ꜣ) n-rn(n)-wt(t) | Φαρμουθί | Pharmouthí | Ⲡⲁⲣⲙⲟⲩⲧⲉ | Barmoda |
| IX | I Shemu Pachons | 1st Month of Low Water 1 Šmw | Ḫnsw | P(Ꜣ) n-ḫns.w | Παχών | Pakhṓn | Ⲡⲁϣⲟⲛⲥ | Bashons |
| X | II Shemu Payni | 2nd Month of Low Water 2 Šmw | Hnt-htj | P(Ꜣ) n-in.t | Παϋνί | Paüní | Ⲡⲁⲱⲛⲓ | Baôni |
| XI | III Shemu Epiphi | 3rd Month of Low Water 3 Šmw | Ipt-hmt | Ip(i)-ip(i) | Ἐπιφί | Epiphí | Ⲉⲡⲓⲡ | Apip |
| XII | IV Shemu Mesore | 4th Month of Low Water 4 Šmw | Opening of the Year Wp Rnpt | Mswt Rꜥ "Birth of the Sun" | Μεσορή | Mesorḗ | Ⲙⲉⲥⲱⲣⲓ | Masôri |
| — | Intercalary Month Epagomenal Days | — | | Those upon the Year Hryw Rnpt | ἐπαγόμεναι | epagómenai | Ⲡⲓⲕⲟⲩϫⲓ ⲛ̀ⲁⲃⲟⲧ | Bikudji en abod |

## Lucky and unlucky days

Calendars that have survived from ancient Egypt often characterise the days as either lucky or unlucky. Of the calendars recovered, the Cairo calendar is one of the best examples. Discovered in modern-day Thebes, it dates from the Ramesside Period and acts as a guide to which days were considered lucky or unlucky. Other complete calendars include Papyrus Sallier IV, and the Calendar of Lucky and Unlucky Days (on the back of the Teaching of Amenemope). The earliest calendars appear in the Middle Kingdom, but they do not become codified until the New Kingdom. It is unknown how staunchly these calendars were adhered to, as there are no references to decisions being made based on their horoscopes. Nevertheless, the different copies of the calendars are remarkably consistent with each other, with only 9.2% of the determinations of adversity or fortuitousness being due to a defined textual reason.

### Scientific Basis

The Calendars of Lucky and Unlucky Days seem to be based on scientific observation as well as myths. Periodicity has been established between phases of the moon as well as the brightening and dimming of the three-star system Algol as visible from earth.

### Predictions

The calendars could also be used to predict someone's future depending on the day they were born. This could also be used to predict when or how they would die. For example, people born on the tenth day of the fourth month of Akhet were predicted to die of old age.

### Epagomenal days

The epagomenal days were added to the original 360 day calendar in order to synchronise the calendar with the approximate length of the solar year. Mythologically, these days allowed for the births of five children of Geb and Nut to occur and were considered to be particularly dangerous. In particular, the day Seth was supposed to be born was considered particularly evil.

## Legacy

The reformed Egyptian calendar continues to be used in Egypt as the Coptic calendar of the Egyptian Church and by the Egyptian populace at large, particularly the fellah, to calculate the agricultural seasons. It differs only in its era, which is dated from the ascension of the Roman emperor Diocletian. Contemporary Egyptian farmers, like their ancient predecessors, divide the year into three seasons: winter, summer, and inundation.
The Ethiopian calendar is based on this reformed calendar but uses Amharic names for its months and uses a different era. The French Republican Calendar was similar, but began its year at the autumnal equinox. British orrery maker John Gleave represented the Egyptian calendar in a reconstruction of the Antikythera mechanism.