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Month
View on WikipediaA month is a unit of time, used with calendars, that is approximately as long as a natural phase cycle of the Moon; the words month and Moon are cognates. The traditional concept of months arose with the cycle of Moon phases; such lunar months ("lunations") are synodic months and last approximately 29.53 days, making for roughly 12.37 such months in one Earth year. From excavated tally sticks, researchers have deduced that people counted days in relation to the Moon's phases as early as the Paleolithic age. Synodic months, based on the Moon's orbital period with respect to the Earth–Sun line, are still the basis of many calendars today and are used to divide the year.
Calendars that developed from the Roman calendar system, such as the internationally used Gregorian calendar, divide the year into 12 months, each of which lasts between 28 and 31 days. The names of the months were Anglicized from various Latin names and events important to Rome, except for the months 9–12, which are named after the Latin numerals 7–10 (septem, octo, novem, and decem) because they were originally the seventh through tenth months in the Roman calendar.[1] In the modern Gregorian calendar, the only month with a variable number of days is the second month, February, which has 29 days during a leap year and 28 days otherwise.
Types of months in astronomy
[edit]The following types of months are mainly of significance in astronomy. Most of them (but not the distinction between sidereal and tropical months) were first recognized in Babylonian lunar astronomy.
- The sidereal month is defined as the Moon's orbital period in a non-rotating frame of reference (which on average is equal to its rotation period in the same frame). It is about 27.32166 days (27 days, 7 hours, 43 minutes, 11.6 seconds). It is closely equal to the time it takes the Moon to twice pass a "fixed" star (different stars give different results because all have a very small proper motion and are not really fixed in position).
- A synodic month is the most familiar lunar cycle, defined as the time interval between two consecutive occurrences of a particular phase (such as new moon or full moon) as seen by an observer on Earth. The mean length of the synodic month is 29.53059 days (29 days, 12 hours, 44 minutes, 2.8 seconds). Due to the eccentricity of the lunar orbit around Earth (and to a lesser degree, the Earth's elliptical orbit around the Sun), the length of a synodic month can vary by up to seven hours.
- The tropical month is the average time for the Moon to pass twice through the same equinox point of the sky. It is 27.32158 days, very slightly shorter than the sidereal month (27.32166) days, because of precession of the equinoxes.
- An anomalistic month is the average time the Moon takes to go from perigee to perigee—the point in the Moon's orbit when it is closest to Earth. An anomalistic month is about 27.55455 days on average.
- The draconic month, draconitic month, or nodal month is the period in which the Moon returns to the same node of its orbit; the nodes are the two points where the Moon's orbit crosses the plane of the Earth's orbit. Its duration is about 27.21222 days on average.
A synodic month is longer than a sidereal month because the Earth-Moon system is orbiting the Sun in the same direction as the Moon is orbiting the Earth.[citation needed] The Sun moves eastward with respect to the stars (as does the Moon) and it takes about 2.2 days longer for the Moon to return to the same apparent position with respect to the Sun.
An anomalistic month is longer than a sidereal month because the perigee moves in the same direction as the Moon is orbiting the Earth, one revolution in nine years. Therefore, the Moon takes a little longer to return to perigee than to return to the same star.
A draconic month is shorter than a sidereal month because the nodes move in the opposite direction as the Moon is orbiting the Earth, one revolution in 18.6 years. Therefore, the Moon returns to the same node slightly earlier than it returns to the same star.
Calendrical consequences
[edit]At the simplest level, most well-known lunar calendars are based on the initial approximation that 2 lunations last 59 solar days: a 30-day full month followed by a 29-day hollow month — but this is only roughly accurate and regularly needs intercalation (correction) by a leap day.
Additionally, the synodic month does not fit easily into the solar (or 'tropical') year, which makes accurate, rule-based lunisolar calendars that combine the two cycles complicated. The most common solution to this problem is the Metonic cycle, which takes advantage of the fact that 235 lunations are approximately 19 tropical years (which add up to not quite 6,940 days): 12 years have 12 lunar months, and 7 years are 13 lunar months long. However, a Metonic calendar based year will drift against the seasons by about one day every 2 centuries. Metonic calendars include the calendar used in the Antikythera Mechanism about 21 centuries ago, and the Hebrew calendar.
Alternatively in a pure lunar calendar, years are defined as having always 12 lunations, so a year is 354 or 355 days long: the Islamic calendar is the prime example. Consequently, an Islamic year is about 11 days shorter than a solar year and cycles through the seasons in about 33 solar = 34 lunar years: the Islamic New Year has a different Gregorian calendar date in each (solar) year.
Purely solar calendars often have months which no longer relate to the phase of the Moon, but are based only on the motion of the Sun relative to the equinoxes and solstices, or are purely conventional like in the widely used Gregorian calendar.
The complexity required in an accurate lunisolar calendar may explain why solar calendars have generally replaced lunisolar and lunar calendars for civil use in most societies.
Months in various calendars
[edit]Beginning of the lunar month
[edit]The Hellenic calendars, the Hebrew Lunisolar calendar and the Islamic Lunar calendar started the month with the first appearance of the thin crescent of the new moon.
However, the motion of the Moon in its orbit is very complicated and its period is not constant. The date and time of this actual observation depends on the exact geographical longitude as well as latitude, atmospheric conditions, the visual acuity of the observers, etc. Therefore, the beginning and lengths of months defined by observation cannot be accurately predicted.
While some like orthodox Islam and the Jewish Karaites still rely on actual moon observations, reliance on astronomical calculations and tabular methods is increasingly common in practice.[2][3]
Ahom calendar
[edit]There are 12 months and an additional leap year month in the Ahom sexagenary calendar known as Lak-ni.[4][5] The first month is Duin Shing.[4]
| No. | Name | Ahom script | Gregorian month |
|---|---|---|---|
| 1 | Duin-Shing | 𑜓𑜢𑜤𑜃𑜫 𑜋𑜢𑜂𑜫 | November-December |
| 2 | Duin-Kam | 𑜓𑜢𑜤𑜃𑜫 𑜀𑜪 | December-January |
| 3 | Duin-Tsam | 𑜓𑜢𑜤𑜃𑜫 𑜏𑜪 | January-February |
| 4 | Duin-Shi | 𑜓𑜢𑜤𑜃𑜫 𑜏𑜢 | February-March |
| 5 | Duin-Ha | 𑜓𑜢𑜤𑜃𑜫 𑜑𑜡 | March-April |
| 6 | Duin-Rok | 𑜓𑜢𑜤𑜃𑜫 𑜍𑜤𑜀𑜫 | April-May |
| 7 | Duin-Shit | 𑜓𑜢𑜤𑜃𑜫 𑜋𑜢𑜄𑜫 | May-June |
| 8 | Duin-paet | 𑜓𑜢𑜤𑜃𑜫 𑜆𑜢𑜤𑜄𑜫 | June-July |
| 9 | Duin-kauo | 𑜓𑜢𑜤𑜃𑜫 𑜀𑜰𑜫 | July-August |
| 10 | Duin-sip | 𑜓𑜢𑜤𑜃𑜫 𑜏𑜢𑜆𑜫 | August-September |
| 11 | Duin-tsip-it | 𑜓𑜢𑜤𑜃𑜫 𑜏𑜢𑜆𑜫 𑜒𑜪𑜄𑜫 | September-October |
| 12 | Duin-sip-song | 𑜓𑜢𑜤𑜃𑜫 𑜏𑜢𑜆𑜫 𑜁 | October-November |
Roman calendar
[edit]The Roman calendar was reformed several times, the last three enduring reforms during historical times. The last three reformed Roman calendars are called the Julian, Augustan, and Gregorian; all had the same number of days in their months. Despite other attempts, the names of the months after the Augustan calendar reform have persisted, and the number of days in each month (except February) have remained constant since before the Julian reform. The Gregorian calendar, like the Roman calendars before it, has twelve months, whose Anglicized names are:
Order Name Number
of days1 January 31 2 February 28
29 in leap years3 March 31 4 April 30 5 May 31 6 June 30 7 July
formerly Quinctilis31 8 August
formerly Sextilis31 9 September 30 10 October 31 11 November 30 12 December 31

Between the knuckles (blue): 30 days
February (red) has 28 or 29 days.

The famous mnemonic Thirty days hath September is a common way of teaching the lengths of the months in the English-speaking world. The knuckles of the four fingers of one's hand and the spaces between them can be used to remember the lengths of the months. By making a fist, each month will be listed as one proceeds across the hand. All months landing on a knuckle are 31 days long and those landing between them are 30 days long, with variable February being the remembered exception. When the knuckle of the index finger is reached (July), go over to the first knuckle on the other fist, held next to the first (or go back to the first knuckle) and continue with August. This physical mnemonic has been taught to primary school students for many decades, if not centuries.[6][7]
This cyclical pattern of month lengths matches the musical keyboard alternation of wide white keys (31 days) and narrow black keys (30 days). The note F corresponds to January, the note F♯ corresponds to February, the exceptional 28–29 day month, and so on.
Numerical relations
[edit]The mean month-length in the Gregorian calendar is 30.436875 days.
Any five consecutive months that do not include February contain 153 days.
Calends, nones, and ides
[edit]Months in the pre-Julian Roman calendar included:
- Intercalaris an intercalary month occasionally embedded into February, to realign the calendar.
- Quintilis, later renamed to Julius in honour of Julius Caesar.
- Sextilis, later renamed to Augustus in honour of Augustus.
The Romans divided their months into three parts, which they called the calends, the nones, and the ides. Their system is somewhat intricate. The ides occur on the thirteenth day in eight of the months, but in March, May, July, and October, they occur on the fifteenth. The nones always occur 8 days (one Roman 'week') before the ides, i.e., on the fifth or the seventh. The calends are always the first day of the month,[a] and before Julius Caesar's reform fell sixteen days (two Roman weeks) after the ides (except the ides of February and the intercalary month).
Relations between dates, weekdays, and months in the Gregorian calendar
[edit]Within a month, the following dates fall on the same day of the week:
- 01, 08, 15, 22, and 29 (e.g., in January 2022, all these dates fell on a Saturday)
- 02, 09, 16, 23, and 30 (e.g., in January 2022, all these dates fell on a Sunday)
- 03, 10, 17, 24, and 31 (e.g., in January 2022, all these dates fell on a Monday)
- 04, 11, 18, and 25 (e.g., in January 2022, all these dates fell on a Tuesday)
- 05, 12, 19, and 26 (e.g., in January 2022, all these dates fell on a Wednesday)
- 06, 13, 20, and 27 (e.g., in January 2022, all these dates fell on a Thursday)
- 07, 14, 21, and 28 (e.g., in January 2022, all these dates fell on a Friday)
Some months have the same date/weekday structure.
In a non-leap year:
- January/October (e.g., in 2022, they began on a Saturday)
- February/March/November (e.g., in 2022, they began on a Tuesday)
- April/July (e.g., in 2022, they began on a Friday)
- September/December (e.g., in 2022, they began on a Thursday)
- 1 January and 31 December fall on the same weekday (e.g. in 2022 on a Saturday)
In a leap year:
- February/August (e.g., in 2020, they began on a Saturday)
- March/November (e.g., in 2020, they began on a Sunday)
- January/April/July (e.g., in 2020, they began on a Wednesday)
- September/December (e.g., in 2020, they began on a Tuesday)
- 29 February (the leap day) falls on the same weekday like 1, 8, 15, 22 February and 1 August (see above; e.g. in 2020 on a Saturday)
Hebrew calendar
[edit]The Hebrew calendar has 12 or 13 months.
- Nisan, 30 days ניסן
- Iyar, 30 days אייר
- Sivan, 30 days סיון
- Tammuz, 29 days תמוז
- Av, 30 days אב
- Elul, 29 days אלול
- Tishri, 30 days תשרי
- Marcheshvan, 29/30 days מַרְחֶשְׁוָן
- Kislev, 30/29 days כסלו
- Tevet, 29 days טבת
- Shevat, 30 days שבט
- Adar 1, 30 days, intercalary month אדר א
- Adar 2, 29 days אדר ב
Adar 1 is only added 7 times in 19 years. In ordinary years, Adar 2 is simply called Adar.
Islamic calendar
[edit]There are also twelve months in the Islamic calendar. They are named as follows:
- Muharram (Restricted/sacred) محرّم
- Safar (Empty/Yellow) صفر
- Rabī' al-Awwal/Rabi' I (First Spring) ربيع الأول
- Rabī' ath-Thānī/Rabi' al-Aakhir/Rabi' II (Second spring or Last spring) ربيع الآخر أو ربيع الثاني
- Jumada al-Awwal/Jumaada I (First Freeze) جمادى الأول
- Jumada ath-Thānī or Jumādā al-Thānī/Jumādā II (Second Freeze or Last Freeze) جمادى الآخر أو جمادى الثاني
- Rajab (To Respect) رجب
- Sha'bān (To Spread and Distribute) شعبان
- Ramadān (Parched Thirst) رمضان
- Shawwāl (To Be Light and Vigorous) شوّال
- Dhu al-Qi'dah (The Master of Truce) ذو القعدة
- Dhu al-Hijjah (The Possessor of Hajj) ذو الحجة
See Islamic calendar for more information on the Islamic calendar.
Arabic calendar
[edit]| Gregorian month | Arabic month | ||
|---|---|---|---|
| January | يناير | كانون الثاني | Kanun Al-Thani |
| February | فبراير | شباط | Shebat |
| March | مارس | اذار | Adhar |
| April | ابريل | نيسان | Nisan |
| May | مايو | أيّار | Ayyar |
| June | يونيو | حزيران | Ḩazayran |
| July | يوليو | تمّوز | Tammuz |
| August | أغسطس | اَب | ʕAb |
| September | سبتمبر | أيلول | Aylul |
| October | أكتوبر | تشرين الأول | Tishrin Al-Awwal |
| November | نوفمبر | تشرين الثاني | Tishrin Al-Thani |
| December | ديسمبر | كانون الأول | Kanun Al-Awwal |
Hindu calendar
[edit]The Hindu calendar has various systems of naming the months. The months in the lunar calendar are:
| No. | Sanskrit name | Tamil name | Telugu name | Nepali name | Assamese name |
|---|---|---|---|---|---|
| 1 | Vaiśākha (वैशाख) | Vaikasi (வைகாசி) | Vaisaakhamu (వైశాఖము) | Baisakh (बैशाख) | Bahāg (বহাগ) |
| 2 | Jyeṣṭha (ज्येष्ठ) | Aani (ஆனி) | Jyeshttamu (జ్యేష్ఠము) | Jeth (जेष्ठ/जेठ) | Jeth (জেঠ) |
| 3 | Ashadha (आषाढ) | Aadi (ஆடி) | Aashaadhamu (ఆషాఢము) | Asaar (आषाढ/असार) | Āsār/Āhār (আষাঢ়/আহাৰ) |
| 4 | Śrāvaṇa (श्रावण) | Aavani (ஆவணி) | Sraavanamu (శ్రావణము) | Saaoon (श्रावण/साउन) | Sāoon (শাওণ) |
| 5 | Bhadrapada (भाद्रपद) | Purratasi (புரட்டாசி) | Bhaadhrapadamu (భాద్రపదము) | Bhadau (भाद्र|भदौ) | Bhādo (ভাদ) |
| 6 | Āśvina (अश्विन) | Aiypasi (ஐப்பசி) | Aasveeyujamu (ఆశ్వయుజము) | Asoj (आश्विन/असोज) | Āhin (আহিন) |
| 7 | Kārtika (कार्तिक/कात्तिक) | Kaarthigai (கார்த்திகை) | Kaarthikamu (కార్తీకము) | Kaattick(कार्तिक/ कात्तिक) | Kāti (কাতি) |
| 8 | Mārgaśīrṣa (मार्गशीर्ष) | Maargazhi (மார்கழி) | Maargaseershamu (మార్గశిరము) | Mangsir (मार्ग/मंसिर) | Āghun (আঘোণ) |
| 9 | Pauṣa (पौष) | Thai (தை) | Pushyamu (పుష్యము) | Push (पौष/पुष/पूस) | Puh (পুহ) |
| 10 | Māgha (माघ) | Maasi (மாசி) | Maaghamu (మాఘము) | Magh (माघ) | Māgh (মাঘ) |
| 11 | Phālguna (फाल्गुन) | Panguni (பங்குனி) | Phaalgunamu (ఫాల్గుణము) | Faagoon (फाल्गुन/फागुन) | Fāgoon (ফাগুণ) |
| 12 | Chaitra (चैत्र) | Chitirai (சித்திரை) | Chaithramu (చైత్రము) | Chait (चैत्र/चैत) | Chot (চ'ত) |
These are also the names used in the Indian national calendar for the newly redefined months. Purushottam Maas or Adhik Maas (translit. adhika = 'extra', māsa = 'month') is an extra month in the Hindu calendar that is inserted to keep the lunar and solar calendars aligned. "Purushottam" is an epithet of Vishnu, to whom the month is dedicated.
The names in the solar calendar are just the names of the zodiac sign in which the sun travels. They are
Baháʼí calendar
[edit]The Baháʼí calendar is the calendar used by the Baháʼí Faith. It is a solar calendar with regular years of 365 days, and leap years of 366 days. Years are composed of 19 months of 19 days each (361 days), plus an extra period of "Intercalary Days" (4 in regular and 5 in leap years).[8] The months are named after the attributes of God. Days of the year begin and end at sundown.[8]
Iranian calendar (Persian calendar)
[edit]The Iranian / Persian calendar, currently used in Iran, also has 12 months. The Persian names are included in the parentheses. It begins on the northern Spring equinox.
- Farvardin (31 days, فروردین)
- Ordibehesht (31 days, اردیبهشت)
- Khordad (31 days, خرداد)
- Tir (31 days, تیر)
- Mordad (31 days, مرداد)
- Shahrivar (31 days, شهریور)
- Mehr (30 days, مهر)
- Aban (30 days, آبان)
- Azar (30 days, آذر)
- Dey (30 days, دی)
- Bahman (30 days, بهمن)
- Esfand (29 days- 30 days in leap year, اسفند)
Reformed Bengali calendar
[edit]The Bengali calendar, used in Bangladesh, follows solar months and it has six seasons. The months and seasons in the calendar are:
Nanakshahi calendar
[edit]The months in the Nanakshahi calendar are:[9]
| No. | Name | Punjabi | Days | Julian months |
|---|---|---|---|---|
| 1 | Chet | ਚੇਤ | 31 | 14 March – 13 April |
| 2 | Vaisakh | ਵੈਸਾਖ | 31 | 14 April – 14 May |
| 3 | Jeth | ਜੇਠ | 31 | 15 May – 14 June |
| 4 | Harh | ਹਾੜ | 31 | 15 June – 15 July |
| 5 | Sawan | ਸਾਵਣ | 31 | 16 July – 15 August |
| 6 | Bhadon | ਭਾਦੋਂ | 30 | 16 August – 14 September |
| 7 | Assu | ਅੱਸੂ | 30 | 15 September – 14 October |
| 8 | Katak | ਕੱਤਕ | 30 | 15 October – 13 November |
| 9 | Maghar | ਮੱਘਰ | 30 | 14 November – 13 December |
| 10 | Poh | ਪੋਹ | 30 | 14 December – 12 January |
| 11 | Magh | ਮਾਘ | 30 | 13 January – 11 February |
| 12 | Phagun | ਫੱਗਣ | 30/31 | 12 February – 13 March |
Khmer calendar
[edit]Different from the Hindu calendar, the Khmer calendar consists of both a lunar calendar and a solar calendar. The solar is used more commonly than the lunar calendar.
| Gregorian month | Meaning | Zodiac sign | |||
|---|---|---|---|---|---|
| English | Khmer | UNGEGN | ALA-LC | ||
| January | មករា | Môkâréa | Makarā | មករ (UNGEGN: môkâr, ALA-LC: makar); "naga" | Capricorn |
| February | កុម្ភៈ | Kŏmpheă | Kumbhà | ក្អម (UNGEGN: k'âm, ALA-LC: kʿʹam); "clay pitcher" | Aquarius |
| March | មិនា/មីនា | Mĭnéa/Minéa | Minā/Mīnā | ត្រី (UNGEGN: trei, ALA-LC: trī); "fish" or "three/third" | Pisces |
| April | មេសា | Mésa | Mesā | ចៀម (UNGEGN: chiĕm, ALA-LC: ciam); "sheep" | Aries |
| May | ឧសភា | Ŭsâphéa | Usabhā | គោឈ្មោល (UNGEGN: koŭ chhmoŭl, ALA-LC: go jhmol); "bull" | Taurus |
| June | មិថុនា | Mĭthŏnéa | Mithunā | គូ (UNGEGN: ku, ALA-LC: gū); "couple" | Gemini |
| July | កក្កដា | Kâkkâda | Kakkaṭā | ក្ដាម (UNGEGN: kdam, ALA-LC: kṭām); "crab" | Cancer |
| August | សីហា | Seiha | Sīhā | សីហៈ (UNGEGN: seihă, ALA-LC: sīhà); "lion" | Leo |
| September | កញ្ញា | Kânhnhéa | Kaññā | ក្រមុំ (UNGEGN: krâmŭm, ALA-LC: kramuṃ); "maiden" | Virgo |
| October | តុលា | Tŏléa | Tulā | ជញ្ជីង (UNGEGN: chônhching, ALA-LC: jañjīng); "scales" | Libra |
| November | វិច្ឆិកា | Vĭchchhĕka | Vicchikā | ខ្ទួយ (UNGEGN: khtuŏy, ALA-LC: khtuay); "scorpion" | Scorpio |
| December | ធ្នូ | Thnu | Dhnū | ធ្នូ (UNGEGN: thnu, ALA-LC: dhnū); "bow", "arc" | Sagittarius |
The Khmer lunar calendar most often contains 12 months; however, the eighth month is repeated (as a "leap month") every two or three years, making 13 months instead of 12.[10] Each lunar month has 29 or 30 days. The year normally has then 354 or 384 days (when an intercalary month is added), but the calendar follows the rules of the Gregorian calendar to determine leap years and add a lead day to one month, so the Khmer lunar year may have a total of 354, 355, 384 or 385 days.
| No. | Khmer month | ||
|---|---|---|---|
| Khmer | UNGEGN | ALA-LC | |
| 1 | មិគសិរ | Mĭkôsĕr | Migasir |
| 2 | បុស្ស | Bŏss | Puss |
| 3 | មាឃ | Méakh | Māgh |
| 4 | ផល្គុន | Phâlkŭn | Phalgun |
| 5 | ចេត្រ | Chétr | Cetr |
| 6 | វិសាខ/ពិសាខ | Vĭsakh/Pĭsakh | Visākh/Bisākh |
| 7 | ជេស្ឋ | Chésth | Jesṭh |
| 8 (8a, 8b) |
ឤសាឍ (បឋមសាឍ, ទុតិយាសាឍ) |
Asath (Bâthâmôsath, Tŭtĕyéasath) |
ʿʹāsāḍh (Paṭhamasāḍh, Dutiyāsāḍh) |
| 9 | ស្រាពណ៍ | Srapôn | Srābaṇ ̊ |
| 10 | ភទ្របទ | Phôtrôbât | Bhadrapad |
| 11 | អស្សុជ | Âssŏch | ʿʹassuj |
| 12 | កត្តិក | Kâtdĕk | Katṭik |
Thai calendar
[edit]| English name | Thai name | Abbr. | Transcription | Sanskrit word | Zodiac sign |
|---|---|---|---|---|---|
| January | มกราคม | ม.ค. | mokarakhom | makara "sea-monster" | Capricorn |
| February | กุมภาพันธ์ | ก.พ. | kumphaphan | kumbha "pitcher, water-pot" | Aquarius |
| March | มีนาคม | มี.ค. | minakhom | mīna "(a specific kind of) fish" | Pisces |
| April | เมษายน | เม.ย. | mesayon | meṣa "ram" | Aries |
| May | พฤษภาคม | พ.ค. | phruetsaphakhom | vṛṣabha "bull" | Taurus |
| June | มิถุนายน | มิ.ย. | mithunayon | mithuna "a pair" | Gemini |
| July | กรกฎาคม | ก.ค. | karakadakhom | karkaṭa "crab" | Cancer |
| August | สิงหาคม | ส.ค. | singhakhom | siṃha "lion" | Leo |
| September | กันยายน | ก.ย. | kanyayon | kanyā "girl" | Virgo |
| October | ตุลาคม | ต.ค. | tulakhom | tulā "balance" | Libra |
| November | พฤศจิกายน | พ.ย. | phruetsachikayon | vṛścika "scorpion" | Scorpio |
| December | ธันวาคม | ธ.ค. | thanwakhom | dhanu "bow, arc" | Sagittarius |
Tongan calendar
[edit]The Tongan calendar is based on the cycles of the Moon around the Earth in one year. The months are:
- Liha Mu'a
- Liha Mui
- Vai Mu'a
- Vai Mui
- Faka'afu Mo'ui
- Faka'afu Mate
- Hilinga Kelekele
- Hilinga Mea'a
- 'Ao'ao
- Fu'ufu'unekinanga
- 'Uluenga
- Tanumanga
- 'O'oamofanongo
Pingelapese
[edit]Pingelapese, a language from Micronesia, also uses a lunar calendar. There are 12 months associated with their calendar. The Moon first appears in March,[clarification needed] they name this month Kahlek. This system has been used for hundreds of years and throughout many generations. This calendar is cyclical and relies on the position and shape of the Moon.[11]
| Malayalam name | Transliteration | Concurrent Gregorian months | Sanskrit word and meaning | Zodiac sign |
|---|---|---|---|---|
| ചിങ്ങം | chi-ngnga-m | August–September | simha "lion" | Leo |
| കന്നി | ka-nni | September–October | kanyā "girl" | Virgo |
| തുലാം | thu-lā-m | October–November | tulā "balance" | Libra |
| വൃശ്ചികം | vRSh-chi-ka-m | November–December | vṛścika "scorpion" | Scorpio |
| ധനു | dha-nu | December–January | dhanu "bow, arc" | Sagittarius |
| മകരം | ma-ka-ra-m | January–February | mokara "sea-monster" | Capricorn |
| കുംഭം | kum-bha-m | February–March | kumbha "pitcher, water-pot" | Aquarius |
| മീനം | mee-na-m | March–April | mīna "(a specific kind of) fish" | Pisces |
| മേടം | mE-Da-m | April–May | meṣa "ram" | Aries |
| ഇടവം | i-Ta-va-m | May – June | vṛṣabha "bull" | Taurus |
| മിഥുനം | mi-thu-na-m | June–July | mithuna "a pair" | Gemini |
| കർക്കടകം | kar-kka-Ta-ka-m | July–August | karkaṭa "crab" | Cancer |
Sinhalese calendar
[edit]The Sinhalese calendar is the Buddhist calendar in Sri Lanka with Sinhala names. Each full moon Poya day marks the start of a Buddhist lunar month.[12] The first month is Bak.[13]
- Duruthu (දුරුතු)
- Navam (නවම්)
- Mædin (මැදින්)
- Bak (බක්)
- Vesak (වෙසක්)
- Poson (පොසොන්)
- Æsala (ඇසල)
- Nikini (නිකිණි)
- Binara (බිනර)
- Vap (වප්)
- Il (iL) (ඉල්)
- Unduvap (උඳුවප්)
Germanic calendar
[edit]The old Icelandic calendar is not in official use anymore, but some Icelandic holidays and annual feasts are still calculated from it. It has 12 months, broken down into two groups of six often termed "winter months" and "summer months". The calendar is peculiar in that the months always start on the same weekday rather than on the same date. Hence Þorri always starts on a Friday sometime between January 22 and January 28 (Old style: January 9 to January 15), Góa always starts on a Sunday between February 21 and February 27 (Old style: February 8 to February 14).
- Skammdegi ("Short days")
- Gormánuður (mid-October – mid-November, "slaughter month" or "Gór's month")
- Ýlir (mid-November – mid-December, "Yule month")
- Mörsugur (mid-December – mid-January, "fat sucking month")
- Þorri (mid-January – mid-February, "frozen snow month")
- Góa (mid-February – mid-March, "Góa's month, see Nór")
- Einmánuður (mid-March – mid-April, "lone" or "single month")
- Náttleysi ("Nightless days")
- Harpa (mid-April – mid-May, Harpa is a female name, probably a forgotten goddess, first day of Harpa is celebrated as Sumardagurinn fyrsti – first day of summer)
- Skerpla (mid-May – mid-June, another forgotten goddess)
- Sólmánuður (mid-June – mid-July, "sun month")
- Heyannir (mid-July – mid-August, "hay business month")
- Tvímánuður (mid-August – mid-September, "two" or "second month")
- Haustmánuður (mid-September – mid-October, "autumn month")
Old Georgian calendar
[edit]| Month | Georgian month name | Transliteration | Georgian other names | Transliteration |
|---|---|---|---|---|
| January | აპნისი, აპანი | Apnisi, Apani | ||
| February | სურწყუნისი | Surtskunisi | განცხადებისთვე | Gantskhadebistve |
| March | მირკანი | Mirkani | ||
| April | იგრიკა | Igrika | ||
| May | ვარდობისა | Vardobisa | ვარდობისთვე | Vardobistve |
| June | მარიალისა | Marialisa | თიბათვე, ივანობისთვე | Tibatve, Ivanobistve |
| July | თიბისა | Tibisa | მკათათვე, კვირიკობისთვე | Mkatatve, Kvirikobistve |
| August | ქველთობისა | Kveltobisa | მარიამობისთვე | Mariamobistve |
| September | ახალწლისა | Akhaltslisa | ენკენისთვე | Enkenistve |
| October | სთვლისა | Stvlisa | ღვინობისთვე | Gvinobistve |
| November | ტირისკონი | Tiriskoni | გიორგობისთვე, ჭინკობისთვე | Giorgobistve, Chinkobistve |
| December | ტირისდენი | Tirisdeni | ქრისტეშობისთვე | Kristeshobistve |
*NOTE: New Year in ancient Georgia started from September.
Old Swedish calendar
[edit]- Torsmånad (January, 'Torre's month' (ancient god))
- Göjemånad (February, 'Goe's month' (ancient goddess))
- Vårmånad (March, 'Spring month')
- Gräsmånad (April, 'Grass month')
- Blomstermånad (May, 'Bloom month')
- Sommarmånad (June, 'Summer month')
- Hömånad (July, 'Hay month')
- Skördemånad, Rötmånad (August, 'Harvest month' or 'Rot month')
- Höstmånad (September, 'Autumn month')
- Slaktmånad (October, 'Slaughter month')
- Vintermånad (November, 'Winter month')
- Julmånad (December, 'Christmas month')
Old English calendar
[edit]Like the Old Norse calendar, the Anglo-Saxons had their own calendar before they were Christianized which reflected native traditions and deities. These months were attested by Bede in his works On Chronology and The Reckoning of Time written in the 8th century.[14] His Old English month names are probably written as pronounced in Bede's native Northumbrian dialect. The months were named after the Moon; the new moon marking the end of an old month and start of a new month; the full moon occurring in the middle of the month, after which the whole month took its name.
Old English month names from Bede's The Reckoning of Time Year
orderNorthumbrian
Old EnglishModern English
transliterationRoman
equivalent1 Æfterra-ġēola mōnaþ "After-Yule month" January 2 Sol-mōnaþ "Sol month" February 3 Hrēð-mōnaþ "Hreth month" March 4 Ēostur-mōnaþ "Ēostur month"
April 5 Ðrimilce-mōnaþ "Three-milkings month"
May 6 Ærra-Liþa "Ere-Litha"
June 7 Æftera-Liþa "After-Litha"
July 8 Weōd-mōnaþ "Weed month"
August 9 Hāliġ-mōnaþ or
Hærfest-mōnaþ"Holy month" or
"Harvest month"
September 10 Winter-fylleþ "Winter-filleth"
October 11 Blōt-mōnaþ "Blót month"
November 12 Ærra-ġēola mōnaþ "Ere-Yule"
December
When an intercalary month was needed, a third Litha month was inserted in mid-summer.[14]
Old Celtic calendar
[edit]The Coligny calendar (Gaulish/Celtic) is an Iron Age Metonic lunisolar calendar, with 12 lunar months of either 29 or 30 days. The lunar month is calculated to a precision of within 24 hours of the lunar phase, achieved by a particular arrangement of months, and the month of EQUOS having a variable length of 29 or 30 days to adjust for any lunar slippage. This setup means the calendar could stay precisely aligned to its lunar phase indefinitely.
The lunar month is divided into two halves, the first of 15 days and the second of 14 or 15 days. The month is calculated to start at the first quarter moon, with the full moon at the centre of the first half-month and the dark moon at the centre of the second half-month. The calendar does not rely on unreliable visual sightings.
An intercalary lunar month is inserted before every 30 lunar months to keep in sync with the solar year. Every 276 years this adds one day to the solar point, so if for example the calendar was 1,000 years old, it would only have slipped by less than 4 days against the solar year.
| Name | Days | Meaning | Modern months | |
|---|---|---|---|---|
| I-1 | Unknown | 30 | Intercalary One | |
| 1 | Samonios | 30 | summer month | May-June |
| 2 | Dumannios | 29 | June-July | |
| 3 | Rivros | 30 | fat month | July-August |
| 4 | Anagantios | 29 | August-September | |
| 5 | Ogronios | 30 | cold month | September-October |
| 6 | Cutios | 30 | wind month | October-November |
| I-2 | [.]antaran[...] | 30 | Intercalary Two | |
| 7 | Giamonios | 29 | winter month | November-December |
| 8 | Simivisonnios | 30 | December-January | |
| 9 | Equos | 29 or 30 | January-February | |
| 10 | Elembivios | 29 | February-March | |
| 11 | Edrinios | 30 | month of heat | March-April |
| 12 | Cantlos | 29 | month of song | April-May |
Old Hungarian calendar
[edit]Nagyszombati kalendárium (in Latin: Calendarium Tyrnaviense) from 1579. Historically Hungary used a 12-month calendar that appears to have been zodiacal in nature[15] but eventually came to correspond to the Gregorian months as shown below:[16]
- Boldogasszony hava (January, 'month of the happy/blessed lady')
- Böjtelő hava (February, 'month of early fasting/Lent' or 'month before fasting/Lent')
- Böjtmás hava (March, 'second month of fasting/Lent')
- Szent György hava (April, 'Saint George's month')
- Pünkösd hava (May, 'Pentecost month')
- Szent Iván hava (June, 'Saint John [the Baptist]'s month')
- Szent Jakab hava (July, 'Saint James' month')
- Kisasszony hava (August, 'month of the Virgin')
- Szent Mihály hava (September, 'Saint Michael's month')
- Mindszent hava (October, 'all saints' month')
- Szent András hava (November, 'Saint Andrew's month')
- Karácsony hava (December, 'month of Yule/Christmas')
Czech calendar
[edit]- Leden – derives from 'led' (ice)
- Únor – derives from 'nořit' (to dive, referring to the ice sinking into the water due to melting)
- Březen – derives from 'bříza' (birch)
- Duben – derives from 'dub' (oak)
- Květen – derives from 'květ' (flower)
- Červen – derives from 'červená' (red – for the color of apples and tomatoes)
- Červenec – is the second 'červen' (formerly known as 2nd červen)
- Srpen – derives from old Czech word 'sirpsti' (meaning to reflect, referring to the shine on the wheat)
- Září – means 'to shine'
- Říjen – derives from 'jelení říje', which refers to the estrous cycle of female elk
- Listopad – falling leaves
- Prosinec – derives from old Czech 'prosiněti', which means to shine through (refers to the sun light shining through the clouds)[17]
Old Egyptian calendar
[edit]The ancient civil Egyptian calendar had a year that was 365 days long and was divided into 12 months of 30 days each, plus 5 extra days (epagomenes) at the end of the year.[18] The months were divided into 3 "weeks" of ten days each. Because the ancient Egyptian year was almost a quarter of a day shorter than the solar year and stellar events "wandered" through the calendar, it is referred to as Annus Vagus or "Wandering Year".
- Thout
- Paopi
- Hathor
- Koiak
- Tooba
- Emshir
- Paremhat
- Paremoude
- Pashons
- Paoni
- Epip
- Mesori
Nisga'a calendar
[edit]The Nisga'a calendar coincides with the Gregorian calendar with each month referring to the type of harvesting that is done during the month.[19]
- K'aliiyee = Going North – referring to the Sun returning to its usual place in the sky
- Buxwlaks = Needles Blowing About – February is usually a very windy month in the Nass River Valley
- Xsaak = To Eat Oolichans – Oolichans are harvested during this month
- Mmaal = Canoes – The river has defrosted, hence canoes are used once more
- Yansa'alt = Leaves are Blooming – Warm weather has arrived and leaves on the trees begin to bloom
- Miso'o = Sockeye – majority of Sockeye Salmon runs begin this month
- Maa'y = Berries – berry picking season
- Wii Hoon = Great Salmon – referring to the abundance of Salmon that are now running
- Genuugwwikw = Trail of the Marmot – Marmots, Ermines and animals as such are hunted
- Xlaaxw = To Eat Trout – trout are mostly eaten this time of year
- Gwilatkw = To Blanket – The earth is "blanketed" with snow
- Luut'aa = Sit In – the Sun "sits" in one spot for a period of time
French Republican calendar
[edit]This calendar was proposed during the French Revolution, and used by the French government for about twelve years from late 1793. There were twelve months of 30 days each, grouped into three ten-day weeks called décades. The five or six extra days needed to approximate the tropical year were placed after the months at the end of each year. A period of four years ending on a leap day was to be called a Franciade. It began at the autumn equinox:
- Autumn:
- Winter:
- Spring:
- Summer:
Eastern Ojibwe calendar
[edit]Ojibwe month names[b] are based on the key feature of the month. Consequently, months between various regions have different names based on the key feature of each month in their particular region. In the Eastern Ojibwe, this can be seen in when the sucker makes its run, which allows the Ojibwe to fish for them. Additionally, Rhodes[20] also informs of not only the variability in the month names, but how in Eastern Ojibwe these names were originally applied to the lunar months the Ojibwe originally used, which was a lunisolar calendar, fixed by the date of Akiinaaniwan (typically December 27) that marks when sunrise is the latest in the Northern Hemisphere.
Roman
MonthMonth in
Eastern Ojibwe[b]English
translationOriginal order in the Ojibwa year Starting at the first full moon after: January
in those places that have a sucker run during that timen[a]mebin-giizis sucker moon 1Akiinaaniwan on 27 December n[a]meb[i]ni-giizis February [o]naab[a]ni-giizis Crust-on-the-snow moon 225 January March zii[n]z[i]baak[wa]doke-giizis Sugaring moon 326 February April
in those places that have a sucker run during that timen[a]mebin-giizis sucker moon 425 March n[a]meb[i]ni-giizis April
in those places that do not have a sucker run during that timewaawaas[a]gone-giizis Flower moon May
in those places that have an April sucker runMay
in those places that have a January sucker rung[i]tige-giizis Planting moon 524 April June
in those places that have an April sucker runJune
in those places that have a January sucker run[o]deh[i]min-giizis Strawberry moon 623 May July miin-giizis Blueberry moon 722 June August [o]dat[a]gaag[o]min-giizis Blackberry moon 820 July September m[an]daamin-giizis Corn moon 918 August October b[i]naakwe-giizis Leaves-fall moon 1017 September b[i]naakwii-giizis Harvest moon November g[a]shkadin-giizis Freeze-up moon 1116 October December g[i]chi-b[i]boon-giizis Big-winter moon 1215 November January
in those places that do not have a sucker run during that time[o]shki-b[i]boon-gii[zi]soons Little new-winter moon 13
(leap month)only used if the new moon after g[i]chi-b[i]boon-giizis occurs before Akiinaaniwan on 27 December.
See also
[edit]Footnotes
[edit]- ^ More precisely, the calends were when the name of a month first began being used when referring to dates. Instead of counting the number of days elapsed, the Romans used a countdown to number their dates. See the article Roman calendar for a more detailed explanation.
- ^ a b Due to Eastern Ojibwe is a vowel syncope dialect, the elided vowels (and the occasionally elided consonants) have been added back in the table below, shown in brackets.
References
[edit]- ^ Macrobius, Saturnalia, tr. Percival Vaughan Davies (New York: Columbia University Press, 1969), book I, chapters 12–13, pp. 89–95.
- ^ "Calculations or Sighting for starting an Islamic month". www.moonsighting.com. Archived from the original on 8 May 2017. Retrieved 16 April 2017.
- ^ Chraibi, Khalid (9 April 2021). "Le mois islamique est-il universel ou national ?". Oumma (in French).
- ^ a b Phukan Baruah (1964), p. 193.
- ^ Kapoor (2021), p. 668.
- ^ "Days in each month". Mnemonics to Improve Memory. EUdesign. 1997. Retrieved 8 August 2018.
- ^ The Boy Mechanic: A handy calendar. Vol. 1. Project Gutenberg. 1913 – via Full Books.
- ^ a b Esslemont (1980), pp. 178–179.
- ^ "What is the Sikh Nanakshahi calendar". All About Sikhs. Gateway to Sikhism. 2007. Archived from the original on 10 May 2008. Retrieved 9 May 2008.
- ^ "Khmer Chankeate Calendar". Cambodian Coordinating Council. Retrieved 8 August 2018.
- ^ Solomon, Stenson (2009). Pingelap Non-Sacred Knowledge. Historic Preservation Fund Grant Department of Land and Natural Resources.
- ^ "Sri Lanka – Festival Calendar". Premlanka Hotel. Curlew Communications Ltd. Retrieved 8 August 2018.
- ^ "The Significance of Poya". Lanka Library. Retrieved 8 August 2018.
- ^ a b Newton (2000).
- ^ Bodroghy, Gabor Z. (1998). "The Calendar by Marsigli: the ancient Hungarian Calendar". The Ancient Hungarian Rovas. Archived from the original on 29 September 2007. Retrieved 8 August 2018.
- ^ "Hónapok nevei". Free Web (in Hungarian). Archived from the original on 27 February 2008. Retrieved 8 August 2018.
- ^ Kebrle, Vojtěch (1939). "Česká jména měsíců, jejich význam a původ". Naše řeč (in Czech). 23 (3): 65–67. Retrieved 5 May 2021.
- ^ Clagett, Marshall (1995). Ancient Egyptian Science: A Source Book. Philadelphia: American Philosophical Society. p. 28. ISBN 0-87169-214-7.
- ^ Turner, Nancy J.; Reid, Andrea J. (2022). ""When the Wild Roses Bloom": Indigenous Knowledge and Environmental Change in Northwestern North America". GeoHealth. 6 (11) e2022GH000612. Bibcode:2022GHeal...6..612T. doi:10.1029/2022GH000612. ISSN 2471-1403. PMC 9665002. PMID 36398276.
- ^ Rhodes, Richard A., ed. (1993) [1985]. Eastern Ojibwa-Chippewa-Ottawa Dictionary. Trends in Linguistics. Berlin, DE; New York, NY: Walter de Gruyter. ISBN 978-3-11-013749-1.
Sources
[edit]- Kapoor, Ramesh (2021). "Fixing the chronology in Tai-Ahom chronicles by using astronomical references". Journal of Astronomical History and Heritage. 24 (3): 665–687. doi:10.3724/SP.J.1440-2807.2021.03.07.
- Phukan Baruah, B. N.N. (1964). Ahom lexicon. The government of Assam in the department of historical and antiquarian studies.
- Newton, Dr Sam (2000). "The Old English Calendar". Wuffings. Retrieved 8 August 2018.
- Esslemont, J. E. (1980). Bahá'u'lláh and the New Era (5th ed.). Wilmette, Illinois, USA: Baháʼí Publishing Trust. ISBN 0-87743-160-4.
Month
View on GrokipediaAstronomical Months
Synodic Month
The synodic month is the period of time required for the Moon to complete one full cycle of phases as observed from Earth, measured as the interval between successive new moons.[6] This duration represents the Moon's orbital motion relative to the Sun, encompassing the time for the Moon to return to the same elongation angle from the Sun.[7] The mean length of the synodic month is 29.53059 days, equivalent to 29 days, 12 hours, 44 minutes, and 3 seconds.[6] The length of the synodic month arises from the combined effects of the Moon's orbit around Earth and Earth's orbit around the Sun.[6] Specifically, it can be calculated using the formula for the synodic period: , where is the sidereal month (approximately 27.322 days) and is the tropical year (approximately 365.242 days); this yields the Moon's average angular speed relative to the Sun as the difference between the Moon's sidereal angular speed and Earth's orbital angular speed, resulting in about 12.19 degrees per day and thus days. Equivalently, the synodic month equals divided by the Moon's mean angular speed relative to the Sun.[8] Ancient civilizations relied on observations of the synodic month to track lunar phases and structure early calendars.[9] In Mesopotamia, Babylonian astronomers from the 8th century BCE maintained detailed records of lunar cycles, establishing a mean synodic month value of 29;31,50,8,20 days (approximately 29.53059 days) based on systematic observations that informed their lunisolar calendar.[9] Due to the elliptical orbits of both Earth and the Moon, as well as gravitational perturbations, the actual length of the synodic month varies slightly around its mean value.[10] Individual synodic months range from about 29.18 days to 29.93 days, with the long-term average remaining 29.53059 days.[10] Unlike the sidereal month, which is shorter at approximately 27.32 days and measures the Moon's orbit relative to distant stars without solar reference, the synodic month incorporates Earth's annual motion, extending its duration.[11]Sidereal Month
The sidereal month is the time required for the Moon to complete one full revolution around Earth relative to the fixed stars, representing the pure orbital period without reference to the Sun's position.[6] This period is approximately 27.32166 days, or 27 days, 7 hours, 43 minutes, and 12 seconds, as determined from precise astronomical observations.[6] The length of the sidereal month arises from the Moon's mean orbital angular speed relative to the stars, calculated as divided by this speed of about per day.[12] More formally, the period is given by the equation where is the Moon's mean angular velocity in radians per day.[13] This value reflects the Moon's average motion along its orbit, independent of perturbations. The sidereal month is shorter than the synodic month— an adjusted version accounting for solar motion—by about 2.21 days due to Earth's orbital progression around the Sun during the Moon's revolution, which corresponds to the tropical year's influence of roughly 365.242 days.[6] In astronomical practice, the sidereal month underpins sidereal timekeeping systems used in observatories for tracking stellar positions and lunar ephemerides, with modern NASA measurements providing the high-precision data essential for orbital modeling and space mission planning.[6]Draconic Month
The draconic month, also known as the nodical month, is the average period of time for the Moon to complete one revolution around Earth with respect to one of its orbital nodes—the points where the Moon's orbit intersects the ecliptic plane. This duration is approximately 27.21222 days, or 27 days, 5 hours, 5 minutes, and 36 seconds.[14] The ascending node is where the Moon crosses the ecliptic from south to north, and the descending node from north to south; eclipses are possible only near these nodes.[6] The length of the draconic month is derived from the precession (regression) of the lunar nodes, which move westward along the ecliptic due to gravitational perturbations from the Sun, completing one full cycle in approximately 18.6 years.[15] Relative to this nodal motion, the Moon's orbital period shortens; the approximate formula is , where is the draconic month, is the sidereal month (the orbital period relative to fixed stars, approximately 27.32166 days), and is the nodal precession period in days (about 6793 days). This regression increases the Moon's effective angular speed relative to the nodes, resulting in the shorter draconic period compared to the sidereal month. The draconic month plays a crucial role in eclipse prediction, as solar and lunar eclipses occur only when the Moon is at or near a node during syzygy—a straight-line alignment of the Sun, Earth, and Moon at new or full moon.[6] The ancient Babylonians incorporated the draconic month into their eclipse tables via the Saros cycle, a period of 242 draconic months (about 18 years and 11 days) after which eclipse patterns approximately repeat, allowing reliable forecasts of eclipse timing and type.[16] The draconic month's length exhibits minor variations due to ongoing orbital perturbations, including the regression of the nodes and interactions with Earth's oblateness, though the mean value is computed from high-precision ephemerides like those from NASA's Jet Propulsion Laboratory (JPL).[14] These ephemerides account for long-term effects, providing the precise average of 27.21222 days used in modern astronomical calculations.[14]Anomalistic Month
The anomalistic month is the average time interval between successive perigees in the Moon's elliptical orbit around Earth, measuring the period relative to the orbit's closest approach point. This duration averages 27.55455 days (27 days, 13 hours, 18 minutes, 33 seconds) as of 2000 CE.[17][14] The anomalistic month exceeds the sidereal month by about 0.233 days primarily due to apsidal precession, the gradual eastward rotation of the Moon's apsides (perigee and apogee) at a rate driven by solar gravitational perturbations, with additional contributions from Earth's oblateness. The full apsidal precession cycle completes in approximately 8.85 years (3,232 days). The relationship between the anomalistic month , sidereal month , and apsidal period is given by which approximates to for small precession rates, using days. This orbital eccentricity, with perigee at roughly 356,400 km and apogee at 406,700 km from Earth, causes the Moon's distance to vary by up to 14% over each cycle, directly influencing the magnitude of gravitational tidal forces, which scale inversely with the cube of the distance. Tidal amplitudes thus fluctuate, peaking at perigee with forces about 24% stronger than at mean distance, leading to variable durations and strengths of tidal cycles aligned with lunar phases.[6][18] Perigee alignments with syzygies—new or full moons—produce perigean spring tides, enhancing high-water levels by more than 30 cm (1 foot) above standard spring tides globally, and up to 1 meter (3 feet) in high-range areas like Anchorage, Alaska. Full-moon perigee events, termed supermoons, amplify these effects while making the Moon appear 14% larger in angular diameter and 30% brighter.[18][19] Secular variations in the anomalistic month arise from long-term tidal evolution and changes in orbital ellipticity, including influences from Earth's oblateness on precession dynamics; the period is decreasing by about 0.8 seconds per millennium. Modern values from laser ranging and ephemerides are shorter than historical estimates from ancient occultation records, reflecting these gradual shifts.[17]Calendrical Principles
Month Lengths and Variations
In solar calendars, such as the Gregorian calendar, months typically range from 28 to 31 days in length, with four months having 30 days, seven having 31 days, and February having 28 days in common years or 29 in leap years.[20] Over the 400-year Gregorian cycle, the average length of February is 28.2425 days, accounting for the 97 leap years in that period.[21] In contrast, lunar months, based on the synodic month—the time for the Moon to complete one cycle of phases relative to the Sun—average approximately 29.53 days.[2] Variations in month lengths arise primarily from efforts to align calendar years with the solar year of about 365.2425 days, necessitating adjustments like leap years. In the Gregorian calendar, a year is a leap year if divisible by 4, except for century years, which must be divisible by 400 to qualify; this rule adds an extra day to February approximately every four years while skipping some to prevent drift.[22] Such mechanisms ensure that the calendar remains synchronized with the seasons over long periods, though they introduce irregularity in monthly durations. The Metonic cycle provides a key framework for reconciling lunar and solar month variations, consisting of 19 tropical years (approximately 6,939.602 days) that nearly equal 235 synodic months (approximately 6,939.688 days), differing by about 2 hours.[23] This 19-year period allows lunar phases to realign closely with the same calendar dates, influencing lunisolar calendar designs without fully eliminating discrepancies. Historical standardization efforts have proposed reforms to minimize month length variations, such as the International Fixed Calendar, which divides the year into 13 equal months of 28 days each (totaling 364 days), with an extra day added at year-end and a leap day every four years; though advocated in the early 20th century, it was never adopted due to resistance against restructuring the traditional 12-month framework.[24]Intercalation and Synchronization
Intercalation refers to the insertion of additional days or months into a calendar to synchronize it with astronomical cycles, particularly to prevent the gradual drift of calendar dates relative to the seasons. In solar calendars, this typically involves adding a leap day to account for the fractional length of the tropical year, while in lunisolar calendars, an embolismic or intercalary month is inserted to align the shorter lunar year with the solar year. For instance, the Julian calendar adds a leap day every four years, resulting in an average year length of 365.25 days, whereas the Hebrew calendar incorporates a second Adar month in leap years to maintain seasonal alignment.[25][26][27] Two primary methods of intercalation are periodic rules, which apply fixed intervals based on calculations, and observational approaches, which historically relied on direct sightings of celestial events but have largely been replaced by arithmetic systems. The Julian calendar exemplifies a periodic method by designating every fourth year as a leap year without exception, leading to a predictable but slightly overestimate of the year length. In contrast, the Hebrew calendar employs a periodic 19-year Metonic cycle, known as the cycle of golden numbers, in which 7 out of 19 years are leap years (specifically years 3, 6, 8, 11, 14, 17, and 19), adding an extra month to equate approximately 235 lunar months with 19 solar years and thus preventing seasonal shift.[26][27][26] The mathematical basis for intercalation addresses the inherent drift caused by discrepancies between calendar and astronomical year lengths. The annual discrepancy can be expressed as: where the tropical year is approximately 365.2422 days; for the Julian calendar, this yields a drift of about 0.0078 days per year. The Hebrew 19-year cycle formula ensures synchronization by structuring leap years such that the total days approximate 6,939 or 6,940, closely matching 19 tropical years while accommodating 235 synodic months. Variations in month lengths, such as the 29- or 30-day alternations in lunar calendars, contribute to this misalignment and necessitate intercalation.[28][27][29] Without effective intercalation, calendars accumulate errors that disrupt seasonal events; for example, the Julian calendar's overestimate led to a 10-day drift by 1582, shifting the vernal equinox from March 21 to March 11 and prompting the Gregorian reform, which corrected the offset by omitting 10 days in October 1582. This historical adjustment underscores the long-term consequences of uncorrected drift, as the Julian system's error compounded to about 3 days every 400 years.[30][31][28]Civil vs. Astronomical Months
Civil months refer to the standardized, fixed-length periods defined in civil calendars, such as the Gregorian calendar, where durations are set at 28, 30, or 31 days regardless of astronomical events like lunar phases.[23] These months serve administrative and legal functions in most modern societies, providing predictability for scheduling, governance, and commerce by decoupling timekeeping from variable celestial observations.[23] In contrast, astronomical months are determined by precise observations or calculations of celestial cycles, resulting in variable lengths that closely align with natural phenomena, such as the synodic lunar month averaging 29.53 days.[32] For instance, in Saudi Arabia's Umm al-Qura calendar, Islamic months begin based on astronomical computations of the new moon's visibility and typically last 29 or 30 days, varying annually to reflect actual lunar cycles.[33] The distinction carries significant legal implications, as civil months form the basis for contracts, billing cycles, and statutory deadlines in jurisdictions using solar calendars. For example, rental agreements or loan repayments are calculated using fixed civil month durations, ensuring consistent enforcement without reliance on fluctuating astronomical data; a one-month period from January 31 might thus end on February 28, treated as equivalent in length under common legal computations.[34] Historically, attempts to reform civil months for greater rationality, such as the French Revolutionary calendar's twelve 30-day months divided into décades, aimed to impose decimal uniformity but failed due to practical disruptions and were abandoned in 1805 after just over a decade.[35] Modern hybrid systems blend elements of both approaches in certain jurisdictions, where months may start according to astronomical criteria—such as lunar sightings for religious observances—but adhere to fixed civil lengths for secular administration. This occurs, for example, in some implementations of lunisolar calendars where the month's commencement is astronomically determined, yet the duration is standardized at 29 or 30 days to facilitate legal and economic planning.[26] Such adaptations help maintain synchronization with natural cycles while supporting stable civil operations, often referencing intercalation briefly to adjust long-term alignments.[26]Months in Solar Calendars
Gregorian Calendar
The Gregorian calendar is a solar calendar introduced in 1582 by Pope Gregory XIII through the papal bull Inter gravissimas to address the inaccuracies of the preceding Julian calendar, which had caused a drift of approximately 10 days relative to the tropical year by the 16th century.[36] This reform aimed to realign the calendar with the vernal equinox for accurate computation of Easter, skipping 10 days in October 1582 so that October 4 was immediately followed by October 15 in adopting regions.[37] The Julian calendar, its predecessor, had overestimated the year length by about 11 minutes annually, leading to the cumulative error.[38] The calendar divides the year into 12 sequential months with fixed lengths totaling 365 days in a common year and 366 in a leap year, maintaining a close approximation to the solar year's 365.2425 days.[39] The months are as follows:| Month | Days |
|---|---|
| January | 31 |
| February | 28 (29 in leap years) |
| March | 31 |
| April | 30 |
| May | 31 |
| June | 30 |
| July | 31 |
| August | 31 |
| September | 30 |
| October | 31 |
| November | 30 |
| December | 31 |
Julian Calendar
The Julian calendar, introduced in 45 BCE by Julius Caesar with the assistance of the Alexandrian astronomer Sosigenes, established a solar calendar system featuring twelve months with fixed lengths identical to those in the modern Gregorian calendar: January (31 days), February (28 days, or 29 in leap years), March (31), April (30), May (31), June (30), July (31), August (31), September (30), October (31), November (30), and December (31).[43][44] This reform created an average year of 365.25 days by designating every fourth year as a leap year, with the additional day originally inserted after February 23 to approximate the tropical year length.[45][46] The leap year rule simplified intercalation by adding one day every four years without exceptions for century years, aligning the calendar more closely with the seasons compared to prior systems.[46] However, this approximation overestimated the tropical year, which measures approximately 365.2422 days from equinox to equinox, leading to a gradual drift of about one day every 128 years, or roughly three days every 400 years.[28][47] As a foundational solar calendar, the Julian system influenced Western timekeeping for over 1,600 years until the Gregorian reform in 1582 addressed its inaccuracies.[43] Its legacy persists in certain Eastern Orthodox churches, such as those in Russia and Jerusalem, where it remains the basis for determining dates of fixed feasts like Christmas (December 25 Julian, corresponding to January 7 Gregorian).[48] Conversion between Julian and Gregorian dates generally requires adding the accumulated difference—currently 13 days for post-1900 dates—with formulas adjusting for varying leap year applications over time, such as adding 10 days for dates between 1582 and 1700.[46][49]Persian Calendar
The Persian calendar, also known as the Solar Hijri or Iranian calendar, is a solar calendar that aligns closely with the tropical year, beginning each year at the moment of the vernal equinox as determined by astronomical observation in Tehran.[50] This equinox-based start ensures high precision in tracking seasons, with the official variant relying on the exact instant when the Sun's ecliptic longitude reaches 0 degrees, adjusted to local midnight; if the equinox occurs before noon, the year starts that day, otherwise the following day.[51] The calendar divides the year into 12 months with fixed lengths, totaling 365 days in common years and 366 in leap years, without requiring an intercalary month due to its arithmetic structure that approximates the tropical year length of approximately 365.2424 days.[52] The calendar evolved from ancient Zoroastrian traditions, with significant reforms in the 11th century under the Seljuq dynasty, where a team led by the mathematician Omar Khayyam developed the Jalali calendar in 1079 CE to correct seasonal drift by refining leap year rules and equinox alignment.[53] This system was further standardized and adopted as Iran's official civil calendar by parliamentary law on 31 March 1925 (11 Farvardin 1304 Š.), replacing earlier variants and establishing the modern Solar Hijri era starting from the Hijra in 622 CE.[54] The month names derive from Avestan Zoroastrian origins, reflecting concepts like divine essence and righteousness, and have remained consistent since medieval times.[51] The 12 months and their lengths are as follows:| Month | Days | Season | Etymological Meaning |
|---|---|---|---|
| Farvardin | 31 | Spring | Divine essence |
| Ordibehesht | 31 | Spring | Best righteousness |
| Khordad | 31 | Spring | Wholeness, integrity |
| Tir | 31 | Summer | Sirius, rain star |
| Mordad | 31 | Summer | Immortality |
| Shahrivar | 31 | Summer | Good dominion of choice |
| Mehr | 30 | Autumn | Sun, friendship, promise |
| Aban | 30 | Autumn | Water |
| Azar | 30 | Autumn | Fire |
| Dey | 30 | Winter | Creator |
| Bahman | 30 | Winter | Good Mind |
| Esfand | 29/30 | Winter | Holy serenity |
