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Month
Month
from Wikipedia

A 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

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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.

  1. 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).
  2. 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.
  3. 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.
  4. 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.
  5. 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

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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

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Beginning of the lunar month

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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

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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

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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 days
1 January 31
2 February 28
29 in leap years
3 March 31
4 April 30
5 May 31
6 June 30
7 July
formerly Quinctilis
31
8 August
formerly Sextilis
31
9 September 30
10 October 31
11 November 30
12 December 31


On top of the knuckles (yellow): 31 days
Between the knuckles (blue): 30 days
February (red) has 28 or 29 days.
The white keys of the musical keyboard correspond to months with 31 day months. (F corresponds to January.)

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

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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

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Months in the pre-Julian Roman calendar included:

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

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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

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The Hebrew calendar has 12 or 13 months.

  1. Nisan, 30 days ניסן
  2. Iyar, 30 days אייר
  3. Sivan, 30 days סיון
  4. Tammuz, 29 days תמוז
  5. Av, 30 days אב
  6. Elul, 29 days אלול
  7. Tishri, 30 days תשרי
  8. Marcheshvan, 29/30 days מַרְחֶשְׁוָן
  9. Kislev, 30/29 days כסלו
  10. Tevet, 29 days טבת
  11. Shevat, 30 days שבט
  12. Adar 1, 30 days, intercalary month אדר א
  13. 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

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There are also twelve months in the Islamic calendar. They are named as follows:

  1. Muharram (Restricted/sacred) محرّم
  2. Safar (Empty/Yellow) صفر
  3. Rabī' al-Awwal/Rabi' I (First Spring) ربيع الأول
  4. Rabī' ath-Thānī/Rabi' al-Aakhir/Rabi' II (Second spring or Last spring) ربيع الآخر أو ربيع الثاني
  5. Jumada al-Awwal/Jumaada I (First Freeze) جمادى الأول
  6. Jumada ath-Thānī or Jumādā al-Thānī/Jumādā II (Second Freeze or Last Freeze) جمادى الآخر أو جمادى الثاني
  7. Rajab (To Respect) رجب
  8. Sha'bān (To Spread and Distribute) شعبان
  9. Ramadān (Parched Thirst) رمضان
  10. Shawwāl (To Be Light and Vigorous) شوّال
  11. Dhu al-Qi'dah (The Master of Truce) ذو القعدة
  12. Dhu al-Hijjah (The Possessor of Hajj) ذو الحجة

See Islamic calendar for more information on the Islamic calendar.

Arabic calendar

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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

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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

  1. Mesha
  2. Vrishabha
  3. Mithuna
  4. Kataka
  5. Simha
  6. Kanyaa
  7. Tulaa
  8. Vrishcika
  9. Dhanus
  10. Makara
  11. Kumbha
  12. Miina

Baháʼí calendar

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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)

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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.

  1. Farvardin (31 days, فروردین)
  2. Ordibehesht (31 days, اردیبهشت)
  3. Khordad (31 days, خرداد)
  4. Tir (31 days, تیر)
  5. Mordad (31 days, مرداد)
  6. Shahrivar (31 days, شهریور)
  7. Mehr (30 days, مهر)
  8. Aban (30 days, آبان)
  9. Azar (30 days, آذر)
  10. Dey (30 days, دی)
  11. Bahman (30 days, بهمن)
  12. Esfand (29 days- 30 days in leap year, اسفند)

Reformed Bengali calendar

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The Bengali calendar, used in Bangladesh, follows solar months and it has six seasons. The months and seasons in the calendar are:

No. Name (Sadhu bhasha) Name (Eastern) Name (Rohingya) Season Days Roman months
1 Boishakh (বৈশাখ) Boishakh (বৈশাখ) Boicák (বৈশাখ) Grishmo (গ্রীষ্ম) 31 14 April – May
2 Joishtho (জ্যৈষ্ঠ) Zoith (জৈঠ) Zeth (জেঠ) Grishmo (গ্রীষ্ম) 31 May – June
3 Asharh (আষাঢ়) A(sha)ŗ (আ(ষা)ঢ়) Acár (আষাঢ়) Borsha (বর্ষা) 31 June – July
4 Shrabon (শ্রাবণ) (S)haon (শাওণ) Cón (শণ) Borsha (বর্ষা) 31 July – August
5 Bhadro (ভাদ্র) Bhado (ভাদ) Bádo (ভাদ) Shorot (শরৎ) 31 August – September
6 Aashin (আশ্বিন) Ashin (আশিন) Acín (আশিন) Shorot (শরৎ) 30 September – October
7 Kartik (কার্তিক) Kati (কাতি) Hati (হাতি) Hemonto(হেমন্ত) 30 October – November
8 Ogrohayon (অগ্রহায়ণ) Aghon (আঘণ) Óon (অণ) Hemonto(হেমন্ত) 30 November – December
9 Poush (পৌষ) Push (পুষ) Fuc (পুষ) Sheet (শীত) 30 December – January
10 Magh (মাঘ) Magh (মাঘ) Mak (মাক) Sheet (শীত) 30 January – February
11 Phalgun (ফাল্গুন) Fagun (ফাগুন) Fóon (ফঅন) Boshonto (বসন্ত) 30 (31 in leap years) February – March
12 Choitro (চৈত্র) Soit (চৈত) Soit (চৈত) Boshonto (বসন্ত) 30 March – April

Nanakshahi calendar

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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

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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: ); "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:

  1. Liha Mu'a
  2. Liha Mui
  3. Vai Mu'a
  4. Vai Mui
  5. Faka'afu Mo'ui
  6. Faka'afu Mate
  7. Hilinga Kelekele
  8. Hilinga Mea'a
  9. 'Ao'ao
  10. Fu'ufu'unekinanga
  11. 'Uluenga
  12. Tanumanga
  13. '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]

Kollam era (Malayalam) calendar

[edit]
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]

  1. Duruthu (දුරුතු)
  2. Navam (නවම්)
  3. Mædin (මැදින්)
  4. Bak (බක්)
  5. Vesak (වෙසක්)
  6. Poson (පොසොන්)
  7. Æsala (ඇසල)
  8. Nikini (නිකිණි)
  9. Binara (බිනර)
  10. Vap (වප්)
  11. Il (iL) (ඉල්)
  12. 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")
  1. Gormánuður (mid-October – mid-November, "slaughter month" or "Gór's month")
  2. Ýlir (mid-November – mid-December, "Yule month")
  3. Mörsugur (mid-December – mid-January, "fat sucking month")
  4. Þorri (mid-January – mid-February, "frozen snow month")
  5. Góa (mid-February – mid-March, "Góa's month, see Nór")
  6. Einmánuður (mid-March – mid-April, "lone" or "single month")
  • Náttleysi ("Nightless days")
  1. 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)
  2. Skerpla (mid-May – mid-June, another forgotten goddess)
  3. Sólmánuður (mid-June – mid-July, "sun month")
  4. Heyannir (mid-July – mid-August, "hay business month")
  5. Tvímánuður (mid-August – mid-September, "two" or "second month")
  6. 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]
  1. Torsmånad (January, 'Torre's month' (ancient god))
  2. Göjemånad (February, 'Goe's month' (ancient goddess))
  3. Vårmånad (March, 'Spring month')
  4. Gräsmånad (April, 'Grass month')
  5. Blomstermånad (May, 'Bloom month')
  6. Sommarmånad (June, 'Summer month')
  7. Hömånad (July, 'Hay month')
  8. Skördemånad, Rötmånad (August, 'Harvest month' or 'Rot month')
  9. Höstmånad (September, 'Autumn month')
  10. Slaktmånad (October, 'Slaughter month')
  11. Vintermånad (November, 'Winter month')
  12. 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
order
Northumbrian
Old English
Modern English
transliteration
Roman
equivalent
1 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]

  1. Boldogasszony hava (January, 'month of the happy/blessed lady')
  2. Böjtelő hava (February, 'month of early fasting/Lent' or 'month before fasting/Lent')
  3. Böjtmás hava (March, 'second month of fasting/Lent')
  4. Szent György hava (April, 'Saint George's month')
  5. Pünkösd hava (May, 'Pentecost month')
  6. Szent Iván hava (June, 'Saint John [the Baptist]'s month')
  7. Szent Jakab hava (July, 'Saint James' month')
  8. Kisasszony hava (August, 'month of the Virgin')
  9. Szent Mihály hava (September, 'Saint Michael's month')
  10. Mindszent hava (October, 'all saints' month')
  11. Szent András hava (November, 'Saint Andrew's month')
  12. Karácsony hava (December, 'month of Yule/Christmas')

Czech calendar

[edit]
  1. Leden – derives from 'led' (ice)
  2. Únor – derives from 'nořit' (to dive, referring to the ice sinking into the water due to melting)
  3. Březen – derives from 'bříza' (birch)
  4. Duben – derives from 'dub' (oak)
  5. Květen – derives from 'květ' (flower)
  6. Červen – derives from 'červená' (red – for the color of apples and tomatoes)
  7. Červenec – is the second 'červen' (formerly known as 2nd červen)
  8. Srpen – derives from old Czech word 'sirpsti' (meaning to reflect, referring to the shine on the wheat)
  9. Září – means 'to shine'
  10. Říjen – derives from 'jelení říje', which refers to the estrous cycle of female elk
  11. Listopad – falling leaves
  12. 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".

  1. Thout
  2. Paopi
  3. Hathor
  4. Koiak
  5. Tooba
  6. Emshir
  7. Paremhat
  8. Paremoude
  9. Pashons
  10. Paoni
  11. Epip
  12. 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]

  1. K'aliiyee = Going North – referring to the Sun returning to its usual place in the sky
  2. Buxwlaks = Needles Blowing About – February is usually a very windy month in the Nass River Valley
  3. Xsaak = To Eat Oolichans – Oolichans are harvested during this month
  4. Mmaal = Canoes – The river has defrosted, hence canoes are used once more
  5. Yansa'alt = Leaves are Blooming – Warm weather has arrived and leaves on the trees begin to bloom
  6. Miso'o = Sockeye – majority of Sockeye Salmon runs begin this month
  7. Maa'y = Berries – berry picking season
  8. Wii Hoon = Great Salmon – referring to the abundance of Salmon that are now running
  9. Genuugwwikw = Trail of the Marmot – Marmots, Ermines and animals as such are hunted
  10. Xlaaxw = To Eat Trout – trout are mostly eaten this time of year
  11. Gwilatkw = To Blanket – The earth is "blanketed" with snow
  12. 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:
  1. Vendémiaire
  2. Brumaire
  3. Frimaire
  • Winter:
  1. Nivôse
  2. Pluviôse
  3. Ventôse
  • Spring:
  1. Germinal
  2. Floréal
  3. Prairial
  • Summer:
  1. Messidor
  2. Thermidor
  3. Fructidor

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
Month
Month in
Eastern Ojibwe[b]
English
translation
Original order in the Ojibwa year Starting at the first full moon after:
January
in those places that have a sucker run during that time
n[a]mebin-giizis sucker moon
1
Akiinaaniwan on 27 December
n[a]meb[i]ni-giizis
February [o]naab[a]ni-giizis Crust-on-the-snow moon
2
25 January
March zii[n]z[i]baak[wa]doke-giizis Sugaring moon
3
26 February
April
in those places that have a sucker run during that time
n[a]mebin-giizis sucker moon
4
25 March
n[a]meb[i]ni-giizis
April
in those places that do not have a sucker run during that time
waawaas[a]gone-giizis Flower moon
May
in those places that have an April sucker run
May
in those places that have a January sucker run
g[i]tige-giizis Planting moon
5
24 April
June
in those places that have an April sucker run
June
in those places that have a January sucker run
[o]deh[i]min-giizis Strawberry moon
6
23 May
July miin-giizis Blueberry moon
7
22 June
August [o]dat[a]gaag[o]min-giizis Blackberry moon
8
20 July
September m[an]daamin-giizis Corn moon
9
18 August
October b[i]naakwe-giizis Leaves-fall moon
10
17 September
b[i]naakwii-giizis Harvest moon
November g[a]shkadin-giizis Freeze-up moon
11
16 October
December g[i]chi-b[i]boon-giizis Big-winter moon
12
15 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]

References

[edit]

Sources

[edit]
Revisions and contributorsEdit on WikipediaRead on Wikipedia
from Grokipedia
A month is a unit of time historically derived from the Moon's orbital period around Earth, most commonly defined astronomically as the synodic month—the interval from one new moon to the next, averaging 29.530589 days. This lunar basis reflects the Moon's cycle of phases, during which it completes one full revolution relative to the Sun as observed from Earth, though the exact length varies slightly due to the elliptical orbit, ranging from about 29 days and 7 hours at perigee to 29 days and 19 hours at apogee. In modern calendars, months serve as standardized subdivisions of the year, disconnected from precise lunar cycles in solar-based systems like the , where they range from 28 days () to 31 days, totaling 365 or 366 days annually to align with around the Sun. The 12-month structure originated in ancient Roman calendars, which initially had 10 months. King added and around 713 BCE, establishing a framework of roughly one month per lunar cycle. Julius Caesar's reform in 46 BCE restructured the calendar with fixed month lengths and a every four years to synchronize with the seasons. Astronomically, several types of months account for different aspects of the Moon's motion: the sidereal month (27.321662 days), the time for the Moon to return to the same position against the ; the anomalistic month (27.554550 days), from perigee to perigee; the draconic month (27.212221 days), related to eclipses via nodal passages; and the tropical month (27.321582 days), from one lunar to the next. These variations, all between 27 and 29 days, influence diverse calendar systems worldwide, including purely lunar calendars (e.g., Islamic, with 12 synodic months per year), solar calendars (e.g., Gregorian), and lunisolar hybrids (e.g., Chinese and Jewish, which intercalate months to reconcile lunar and solar years).

Astronomical Months

Synodic Month

The synodic month is the period of time required for the to complete one full cycle of phases as observed from , measured as the interval between successive new moons. This duration represents the 's orbital motion relative to the Sun, encompassing the time for the to return to the same elongation angle from the Sun. The mean length of the synodic month is 29.53059 days, equivalent to 29 days, 12 hours, 44 minutes, and 3 seconds. The length of the synodic month arises from the combined effects of the Moon's orbit around and around the Sun. Specifically, it can be calculated using the formula for the synodic period: S=11Pm1PeS = \frac{1}{\left| \frac{1}{P_m} - \frac{1}{P_e} \right|}, where PmP_m is the sidereal month (approximately 27.322 days) and PeP_e is the (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 S29.53S \approx 29.53 days. Equivalently, the synodic month equals 360360^\circ divided by the Moon's mean angular speed relative to the Sun. Ancient civilizations relied on observations of the synodic month to track lunar phases and structure early calendars. 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. 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. Individual synodic months range from about 29.18 days to 29.93 days, with the long-term average remaining 29.53059 days. 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.

Sidereal Month

The sidereal month is the time required for the to complete one full around relative to the , representing the pure without reference to the Sun's position. This period is approximately 27.32166 days, or 27 days, 7 hours, 43 minutes, and 12 seconds, as determined from precise astronomical observations. The length of the sidereal month arises from the Moon's orbital angular speed relative to the stars, calculated as 360360^\circ divided by this speed of about 13.17613.176^\circ per day. More formally, the period TsidT_{\text{sid}} is given by the equation Tsid=2πωmoon,T_{\text{sid}} = \frac{2\pi}{\omega_{\text{moon}}}, where ωmoon\omega_{\text{moon}} is the Moon's in radians per day. This value reflects the Moon's average motion along its , 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. 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.

Draconic Month

The draconic month, also known as the nodical month, is the average period of time for the to complete one revolution around with respect to one of its orbital nodes—the points where the 's orbit intersects the ecliptic plane. This duration is approximately 27.21222 days, or 27 days, 5 hours, 5 minutes, and 36 seconds. The ascending node is where the crosses the ecliptic from south to north, and the descending node from north to south; are possible only near these nodes. The length of the draconic month is derived from the (regression) of the lunar nodes, which move westward along the due to gravitational perturbations from the Sun, completing one full cycle in approximately 18.6 years. Relative to this nodal motion, the Moon's shortens; the approximate formula is DS/(1+SP)D \approx S / \left(1 + \frac{S}{P}\right), where DD is the draconic month, SS is the sidereal month (the relative to , approximately 27.32166 days), and PP is the 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, , and at new or . 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. 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 . These ephemerides account for long-term effects, providing the precise average of 27.21222 days used in modern astronomical calculations.

Anomalistic Month

The anomalistic month is the average time interval between successive perigees in the Moon's elliptical around , 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. The anomalistic month exceeds the sidereal month by about 0.233 days primarily due to , 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 PanomP_{anom}, sidereal month PsP_s, and apsidal period PaP_a is given by 1Panom=1Ps1Pa,\frac{1}{P_{anom}} = \frac{1}{P_s} - \frac{1}{P_a}, which approximates to PanomPs(1+PsPa)P_{anom} \approx P_s \left(1 + \frac{P_s}{P_a}\right) for small precession rates, using Ps27.32166P_s \approx 27.32166 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. 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 . Full-moon perigee events, termed supermoons, amplify these effects while making the appear 14% larger in angular diameter and 30% brighter. Secular variations in the anomalistic month arise from long-term tidal evolution and changes in orbital ellipticity, including influences from Earth's oblateness on dynamics; the period is decreasing by about 0.8 seconds per . Modern values from ranging and ephemerides are shorter than historical estimates from ancient records, reflecting these gradual shifts.

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. Over the 400-year Gregorian cycle, the average length of February is 28.2425 days, accounting for the 97 leap years in that period. 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. Variations in month lengths arise primarily from efforts to align calendar years with the solar year of about 365.2425 days, necessitating adjustments like . In the , a year is a if divisible by 4, except for century years, which must be divisible by to qualify; this rule adds an extra day to approximately every four years while skipping some to prevent drift. Such mechanisms ensure that the calendar remains synchronized with the seasons over long periods, though they introduce irregularity in monthly durations. The 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. This 19-year period allows lunar phases to realign closely with the same calendar dates, influencing designs without fully eliminating discrepancies. Historical standardization efforts have proposed reforms to minimize month length variations, such as the , 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 , it was never adopted due to resistance against restructuring the traditional 12-month framework.

Intercalation and Synchronization

Intercalation refers to the insertion of additional days or months into a 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 , while in lunisolar calendars, an embolismic or intercalary month is inserted to align the shorter lunar year with the solar year. For instance, the adds a leap day every four years, resulting in an average year length of 365.25 days, whereas the incorporates a second month in leap years to maintain seasonal alignment. 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 exemplifies a periodic method by designating every fourth year as a without exception, leading to a predictable but slightly overestimate of the year length. In contrast, the employs a periodic 19-year , known as the cycle of golden numbers, in which 7 out of 19 years are (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. 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: annual discrepancy=(tropical yearcalendar year length)\text{annual discrepancy} = (\text{tropical year} - \text{calendar year length}) 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. Without effective intercalation, calendars accumulate errors that disrupt seasonal events; for example, the Julian calendar's overestimate led to a 10-day drift by , shifting the vernal from to and prompting the , which corrected the offset by omitting 10 days in 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.

Civil vs. Astronomical Months

Civil months refer to the standardized, fixed-length periods defined in civil calendars, such as the , where durations are set at 28, 30, or 31 days regardless of astronomical events like lunar phases. 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. 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 averaging 29.53 days. For instance, in Saudi Arabia's Umm al-Qura , 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. 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 might thus end on , treated as equivalent in length under common legal computations. 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. 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. Such adaptations help maintain synchronization with natural cycles while supporting stable civil operations, often referencing intercalation briefly to adjust long-term alignments.

Months in Solar Calendars

Gregorian Calendar

The is a introduced in 1582 by through the papal bull to address the inaccuracies of the preceding , which had caused a drift of approximately 10 days relative to the by the . This reform aimed to realign the calendar with the vernal equinox for accurate computation of , skipping 10 days in 1582 so that October 4 was immediately followed by October 15 in adopting regions. The , its predecessor, had overestimated the year length by about 11 minutes annually, leading to the cumulative error. The divides the year into 12 sequential months with fixed lengths totaling 365 days in a and 366 in a , maintaining a close approximation to the solar year's 365.2425 days. The months are as follows:
MonthDays
January31
February28 (29 in )
March31
April30
May31
June30
July31
August31
September30
October31
November30
December31
Leap years are determined by a precise rule: a year is a leap year if divisible by 4, except for century years, which must be divisible by 400 to qualify; thus, 2000 was a , while 1900 was not. This adjustment reduces the average year length to 365.2425 days over 400 years, minimizing drift to about one day every 3,300 years. Adoption of the began immediately in 1582 among Catholic states in , , , , and parts of the , expanding to France in the same year and in 1587. Protestant regions resisted longer due to religious and political tensions, with and its colonies switching in 1752 by omitting 11 days, in 1918, and in 1923. By the , it had become the global civil standard for most nations, though exceptions persist, such as , which continues to use its own based on the ancient Coptic system for official purposes.

Julian Calendar

The , introduced in 45 BCE by with the assistance of the Alexandrian Sosigenes, established a system featuring twelve months with fixed lengths identical to those in the modern : January (31 days), February (28 days, or 29 in ), March (31), April (30), May (31), June (30), July (31), August (31), September (30), October (31), November (30), and December (31). This reform created an average year of 365.25 days by designating every fourth year as a , with the additional day originally inserted after February 23 to approximate the length. The 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. However, this approximation overestimated the , which measures approximately 365.2422 days from to , leading to a gradual drift of about one day every 128 years, or roughly three days every 400 years. 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. 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). 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.

Persian Calendar

The Persian calendar, also known as the Solar Hijri or Iranian calendar, is a solar calendar that aligns closely with the , beginning each year at the moment of the vernal as determined by astronomical observation in . This -based start ensures high precision in tracking seasons, with the official variant relying on the exact instant when the Sun's reaches 0 degrees, adjusted to local ; if the equinox occurs before noon, the year starts that day, otherwise the following day. 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 length of approximately 365.2424 days. The calendar evolved from ancient Zoroastrian traditions, with significant reforms in the under the Seljuq dynasty, where a team led by the mathematician developed the in 1079 CE to correct seasonal drift by refining rules and equinox alignment. This system was further standardized and adopted as Iran's official civil calendar by parliamentary law on 31 March 1925 (11 1304 Š.), replacing earlier variants and establishing the modern Solar Hijri era starting from the Hijra in 622 CE. The month names derive from Zoroastrian origins, reflecting concepts like divine essence and righteousness, and have remained consistent since medieval times. The 12 months and their lengths are as follows:
MonthDaysSeasonEtymological Meaning
31SpringDivine essence
Ordibehesht31SpringBest righteousness
Khordad31SpringWholeness, integrity
Tir31SummerSirius, star
Mordad31Summer
Shahrivar31SummerGood dominion of choice
Mehr30AutumnSun, friendship, promise
30Autumn
30Autumn
Dey30WinterCreator
30WinterGood Mind
Esfand29/30WinterHoly serenity
The leap day is added to in . As an arithmetic , it employs a repeating 33-year cycle containing eight —specifically, years where the year number 33 yields remainders of 1, 5, 9, 13, 17, 22, 26, or 30—to achieve its average year length of 365 + 8/33 ≈ 365.2424 days, which exceeds the Gregorian calendar's accuracy over long periods by minimizing errors. While the official Iranian variant is astronomical, calculating the precisely each year via the Institute for at the , an arithmetic variant exists for computational purposes, using fixed rules without annual observations but still following the same cycle for consistency. This precision eliminates the need for intercalation beyond the leap day, ensuring the calendar's vernal alignment persists for millennia without reform.

Months in Lunar and Lunisolar Calendars

Islamic Calendar

The Islamic calendar, known as the Hijri calendar, is a purely lunar system comprising twelve months that follow the cycles of the moon. These months are: 1. Muharram, 2. Safar, 3. Rabi' al-Awwal, 4. Rabi' al-Thani, 5. Jumada al-Ula, 6. Jumada al-Thani, 7. Rajab, 8. Sha'ban, 9. Ramadan, 10. Shawwal, 11. Dhu al-Qadah, and 12. Dhu al-Hijjah. Each month lasts either 29 or 30 days, with the exact length determined by the visibility of the hilal, the thin crescent moon shortly after sunset. The start of each month is traditionally marked by the confirmed sighting of the hilal, after which the new month begins at sunset. This observation-based approach relies on eyewitness reports from reliable sources, often coordinated by religious authorities or committees. In , the Umm al-Qura calendar serves as a fixed, calculated to standardize dates for administrative and religious purposes, though it is not universally adopted. The calendar holds profound religious significance, guiding key Islamic observances. The ninth month, Ramadan, is the period of obligatory fasting from dawn to sunset, commemorating the revelation of the Quran and fostering spiritual discipline and community. The twelfth month, Dhu al-Hijjah, centers on the Hajj pilgrimage to Mecca, one of the Five Pillars of Islam, culminating in Eid al-Adha celebrations of sacrifice and devotion. A standard Hijri year consists of 354 or 355 days, making it approximately 11 days shorter than the solar year, which causes the to drift backward through the seasons by about 10–12 days annually. This drift underscores the 's lunar nature, based on the synodic month of roughly 29.53 days between consecutive new moons. Variations in practice arise from ongoing global debates over moon sighting methods, particularly whether local sightings should apply to specific regions or if a unified global sighting is preferable to avoid discrepancies in timings. Additionally, some Muslim communities employ mathematical predictions centered on the astronomical conjunction—the precise moment of the new moon—to forecast visibility and align observances, especially in areas with poor weather or limited sighting opportunities.

Hebrew Calendar

The Hebrew calendar is a lunisolar system that structures its months around lunar cycles while incorporating intercalation to align with the solar year, ensuring religious observances remain seasonally appropriate. It consists of twelve months in common years and thirteen in , with the civil year beginning in and the religious year in . The months, in order from Tishrei, are: , Cheshvan, Kislev, Tevet, Shevat, Adar (split into Adar I and Adar II during ), , Iyar, Sivan, Tammuz, Av, and Elul. Each month lasts either 29 or 30 days, approximating the synodic lunar month of about 29.53 days, and begins on the day of the molad, the calculated mean time of the new moon's conjunction. The molad serves as the theoretical starting point, though actual month beginnings may be adjusted by postponement rules. Month lengths are fixed for most months but variable for and (29 or 30 days each) and (29 days in common years or Adar II in leap years), resulting in common years of 353, 354, or 355 days and of 383, 384, or 385 days. The molad is calculated arithmetically from a base epoch known as the molad tohu, dated to , 6:00 a.m. in the sixth hour of the day (per Rambam's reckoning), by adding multiples of the mean lunar interval of 29 days, 12 hours, and 793 chalakim (where 1 chelek equals 3⅓ seconds or 1/1080 of an hour). This yields the formula for the nth molad as the base time plus n times the interval, with adjustments for carrying over days, hours, and parts; for example, the molad of 5786 occurred on September 22, 2025, at 12:10 p.m. time, 7 chalakim after noon. To synchronize the with the solar year of approximately 365.25 days, the employs a 19-year , inserting an extra month seven times: in years 3, 6, 8, 11, 14, 17, and 19 of the cycle, by adding II after I (a 30-day month). This adds about 209 days over 19 years, keeping the average year length close to the solar and ensuring in falls in spring, as mandated by biblical requirements for the season. The start of the year, Rosh Hashanah on 1 Tishrei, is subject to four postponement rules (dechiyot) to avoid undesirable weekday alignments and ensure holidays do not cluster too closely: if the molad falls at or after noon, it is postponed one day (molad zakein); Rosh Hashanah cannot fall on Sunday, Wednesday, or Friday (lo ADU Rosh), leading to a one- or two-day delay; in a common year, if the molad is on Tuesday at or after 9:32:43 a.m., it is postponed to Thursday (gatarad); and in a post-leap year, if on Monday at or after 3:11:20 a.m., it is postponed to Tuesday (betutkafot). These rules restrict Rosh Hashanah to Monday, Tuesday, Thursday, or Saturday, balancing ritual and practical considerations. The fixed arithmetic calendar in use today was established in the CE by Hillel II, the Nasi of the , around 358–359 CE, replacing earlier observation-based methods with a perpetual system to unify Jewish communities in the and under Roman persecution. This determines the dates of all major , such as in and , maintaining their lunar timing within a solar framework.

Hindu Calendar

The Hindu calendars comprise diverse lunisolar systems employed across the , featuring regional differences in month nomenclature and the commencement of the new year. These calendars integrate lunar months with solar cycles to align religious observances and agricultural seasons, emphasizing sidereal astronomy over tropical reckoning. Central to their structure are twelve lunar months, sequentially named Chaitra, Vaishakha, Jyeshtha, Ashadha, Shravana, Bhadrapada, Ashvina, Kartika, Margashirsha, Pausha, Magha, and Phalguna. Each month spans approximately 29.5 mean solar days, divided into a bright half (shukla paksha) of 15 waxing days and a dark half (krishna paksha) of 15 waning days. Month reckoning follows two schemes: the amanta tradition, dominant in Gujarat and much of southern and western India, where the month ends on the new moon (amavasya) at the close of the waning phase; and the purnimanta tradition, prevalent in northern India, where the month concludes on the full moon (purnima). These variations influence festival timings, with the year typically beginning in Chaitra under the amanta system in most regions, though historical practices in Gujarat once started in Ashadha. Synchronization between the lunar year of about 354 days and the of roughly 365 days, 6 hours, 12 minutes, and 30 seconds relies on intercalary adjustments. An extra month, adhik masa, is added approximately every 2.5 years—specifically every 32.5 months on average—to compensate for the 11-day annual shortfall, preventing drift from seasonal equinoxes. This process is grounded in the , which tracks the Sun's position relative to , divided into twelve rashis (zodiac signs), each containing two or three of the 27 or 28 nakshatras (lunar mansions or asterisms). Nakshatras serve as reference points for month definitions, with full moons named after the prominent nakshatra at their occurrence, such as Kartika linked to the Krittika asterism. Regional implementations highlight this diversity, with the emerging as a key lunisolar variant established in 57 BCE, widely adopted for Hindu festivals throughout except Bengal and featuring adhik masa insertions for lunar-solar harmony. In contrast, the Samvat, a solar-oriented initiated in 78 CE, aligns months directly with the and was formalized as 's national in 1957 for civil and astronomical purposes. Festivals are deeply intertwined, as exemplified by , which falls in the Kartika month—on the in amanta reckoning or the waning phase's early days in purnimanta—marking the victory of light over darkness through lamps and rituals on the new moon night. Astronomical computations for these calendars employ mean conjunctions of the Sun and , as detailed in the , an ancient treatise on Hindu astronomy. A is defined from one mean conjunction (new moon) to the next, with the Moon's mean daily motion of 790 minutes and 35 seconds relative to the Sun yielding the synodic period. The text specifies intercalary months when two lunar months commence within one solar month, ensuring long-term alignment over cycles like the 4,320,000-year mahayuga, where 53,433,336 synodic months occur alongside adjustments for omitted lunar days. This methodology prioritizes conceptual precision in (lunar day) divisions and positions, underpinning the calendars' enduring astronomical fidelity.

Months in Historical and Regional Calendars

The early , attributed to the legendary founder , consisted of ten months beginning with Martius and ending with , totaling approximately 304 days, during which the winter period of about 61 days remained unmarked and uncounted in the civil year. This structure aligned loosely with agricultural cycles and lunar observations, starting the year in spring to coincide with the rebirth of nature. According to ancient historians like , the second king, (r. 715–673 BCE), reformed the around the 7th century BCE by adding two months—Ianuarius at the beginning and at the end—creating a 12-month lunar year of 355 days to better approximate the . Month lengths were adjusted to alternate mostly between 29 and 30 days, with longer months of 31 days for Martius, , Iulius (originally ), and , reflecting Roman superstition against even numbers, which were considered unlucky except for February's 28 days dedicated to purification rites (februare). The origins of the month names drew from deities and numerical positions: honored , the god of beginnings and transitions; Martius was named for Mars, the war god; possibly derived from or the Latin for "to open" (aperire); for the goddess or the elderly (maiores); Iunius for Juno; while , , , , , and reflected their positions as the fifth through tenth months in the original scheme. , from the purification festival of Februa, closed the year with rituals marking the end of the old and start of the new. To reconcile the shorter lunar year with the solar year of about 365 days, Numa introduced an intercalary month called (or Intercalaris), inserted every other year after the 23rd of , adding 22 or 27 days depending on the adjustment needed. The months were divided into key marker days: the (first day, from which the month was named); the Nones (fifth or seventh day); and the Ides (thirteenth or fifteenth), which served as reference points for dating events and religious observances. Over centuries, the pontifices (priests responsible for the ) frequently manipulated intercalations for political gain, such as extending terms of office or avoiding unfavorable dates, leading to irregular insertions and seasonal drift; by the late Republic, this caused years to extend up to 13 months and misalign the by three months, as noted in Cicero's correspondence around 50 BCE. In 46 BCE, , advised by the Alexandrian astronomer Sosigenes, enacted a comprehensive reform to establish a , retroactively adding 90 days to that year (making it 445 days long) and standardizing the 12 months to total 365 days, with an extra day added to every fourth year (bis sextus). Month lengths were rationalized to a maximum of 31 days, eliminating entirely: (31), (28/29), Martius (31), (30), (31), Iunius (30), Iulius (31, renamed from in honor of Caesar), Sextilis (30, later Augustus), September (30), October (31), November (30), and December (31). This , implemented from 45 BCE, served as the direct successor to the reformed Roman system until further adjustments centuries later.

Egyptian Calendar

The ancient Egyptian was a solar system consisting of 365 days, structured as 12 months of 30 days each, plus five additional epagomenal days added at the year's end to honor the births of deities such as , , , , and . These months were grouped into three seasons, each comprising four months and reflecting the River's annual cycle: Akhet (Inundation), associated with the flooding season from mid-July to mid-November; (Emergence or Growth), covering the sowing and emergence period from mid-November to mid-March; and Shemu ( or Low Water), spanning the dry harvest time from mid-March to mid-July. This division emphasized agricultural rhythms tied to the Nile's inundation, which was crucial for Egypt's fertility. The calendar's origins trace back to at least the early third millennium BCE, likely developing from earlier lunar observations but formalized as a civil solar system by the period around 2500 BCE. It was anchored to the of Sirius (known as in Egyptian), the star's first predawn appearance marking the Nile's flood and the ideal around late June or early July in the . This alignment formed the basis of the , a 1,460-year period during which the civil calendar's realigned with the Sirius rising due to the fixed 365-day year. Lacking leap years, the calendar produced a "wandering year" (annus vagus), drifting backward by approximately one day every four years relative to the true solar year of about 365.25 days. This gradual slippage meant seasons and festivals shifted through the calendar over centuries, completing a full cycle every 1,460 years. In 25 BCE, under Augustus, a introduced a leap day every four years, synchronizing the Egyptian with the Julian system and halting the drift. The ancient profoundly influenced the , still used by the for liturgical purposes, which retains the 12-month structure, epagomenal days, and original month names derived from Egyptian deities and festivals. For example, the first month, (or in Coptic), honors the god of wisdom and writing; the second, Phaophi (or Paopi), relates to the goddess and agricultural rites. This continuity preserved Egyptian temporal traditions into the Christian era.

Chinese Calendar

The traditional Chinese consists of 12 months, each starting on the day of a new and lasting 29 or 30 days. The months are primarily numbered, with the first called zhengyue and the twelfth la yue, but they are also associated with the 12 zodiac animals via the ; for example, the first month corresponds to the (Yin). To align the shorter lunar year of approximately 354 days with the solar year, a leap month—a duplicate of one of the regular months—is inserted about every three years, resulting in seven such leaps over a 19-year ; this leap month is typically placed after the month lacking a principal (zhongqi), and while it can follow the 11th month in some years, its position varies to maintain seasonal accuracy. The calendar year begins near the , specifically with the new moon following (Start of Spring, around ), ensuring the months align with seasonal cycles. Integral to the system are the 24 solar terms (jieqi), which divide the solar year into 24 segments of roughly 15 days based on the sun's position along the , with two terms per lunar month: a minor term (jie) at the month's start and a principal term (zhongqi) near the middle. These terms, such as Yushui (Rain ) and Qingming (Clear and Bright), denote climatic shifts, agricultural milestones, and phenological events, guiding farming and festivals while helping determine leap month placements. The insertion of leap months synchronizes the lunar phases with solar progression, preventing seasonal drift over time. The originated in ancient , with early forms documented in texts like the Xia xiaozheng from the (c. 1046–256 BCE), but it was standardized during the in 104 BCE under Wu's Taichu calendar reform, which formalized the 19-year cycle and integrations for astronomical precision. This system has long structured traditional observances, including the festival, held on the first new moon after to mark spring's renewal. Today, the People's Republic of China employs the Gregorian solar calendar for official civil and business purposes since its adoption in 1912, but the traditional lunisolar calendar persists for cultural, religious, and holiday timings, such as Mid-Autumn Festival and Dragon Boat Festival, with dates computed using the mean sun to approximate true solar motion.

Other Regional Calendars

The Ahom calendar, used by the Tai-Ahom people of , is a traditional lunisolar system featuring 12 lunar months, each approximately 29 or 30 days long, with an occasional intercalary month to align with the solar year. The calendar operates on a and incorporates 7-day weeks, with the year beginning in the month of Choit, marking the around mid-April and coinciding with the festival. Month names are prefixed with "duinq" (month), such as Duinq Ching for the first month, reflecting agricultural and seasonal cycles tied to the region's rice cultivation and festivals. The Khmer calendar, shared with the in , is a lunisolar system where months begin on the day of the waxing moon, combining lunar phases with solar adjustments through intercalation every few years to prevent drift. Traditional Khmer months draw from ancient Indian influences, with names like Phalkuna (corresponding roughly to ) and Visakha (May), each associated with zodiac signs and agricultural activities; for instance, the month of Mésa () hosts the Songkran festival, 's traditional celebrated with water rituals symbolizing renewal. In , the calendar aligns closely with the Khmer structure but integrates Buddhist lunar observances, using numbered months (e.g., เดือนหนึ่ง for the first) alongside Pali-derived names, emphasizing cultural ties to monsoon seasons and royal ceremonies. The , known as the Badíʻ calendar, diverges from lunar or lunisolar models by employing a purely solar structure with 19 months of exactly 19 days each, totaling 361 days, plus 4 or 5 intercalary days () to complete the 365- or 366-day year. Months bear spiritual names such as Bahá (Splendor) for the first and Asmáʼ (Names) for the second, starting on to align with the vernal and the declaration of ; this design promotes equality in month lengths and ties to the faith's emphasis on unity and administrative cycles. The , adopted by in 2003, is a resembling the Gregorian but fixed to the , featuring 12 months of 30 or 31 days, with a leap day added to the last month (Phagun) every four years to align with the . It begins on March 14 with the month of , followed by (April-May) and others like Jeth (May-June), each named after traditional Punjabi lunar months but standardized for consistency in marking Gurpurabs and historical events, such as on April 14. This reform addresses prior discrepancies in Sikh date observances by anchoring to solar precision while preserving cultural nomenclature. The Old Swedish calendar, prevalent until the 18th century, blended Julian solar reckoning with runic notations on wooden staves (primstavs) to track months, saints' days, and agrarian cycles. Months followed the Julian sequence but were inscribed with runes symbolizing lunar phases and golden numbers for Easter calculations, such as the first month (January) marked by runes for Yule remnants; this system incorporated local intercalation via the Julian leap rule until Sweden's 1753 calendar reform. Runic elements highlighted cultural ties to Norse traditions, using symbols for solstices and harvests rather than numerical dates. Other regional calendars exhibit unique adaptations, often with 12 or 13 months reflecting local ecologies and lunar observations. The Pingelapese calendar of features 12 months starting with Kahlaek in , named for seasonal winds and marine activities like Soaunpwonginwehla () for budding plants, emphasizing atoll-specific environmental cues without formal intercalation. Similarly, the calendar of British Columbia's uses 13 lunar months tied to food harvesting, such as Hobiyee (/, meaning "full spoon" for the crescent moon's shape during thaw), with names denoting salmon runs or berry seasons to guide sustainable practices. These systems commonly employ local intercalation—via added days or months—to synchronize with solar events, underscoring deep cultural connections to , , and spiritual observances.

Cultural and Symbolic Significance

Etymology of Month Names

The month names in the modern Gregorian calendar, which forms the basis for many global systems, trace their primary origins to the ancient Roman calendar, where they evolved from a combination of deities, rituals, and numerical designations. January derives from Iānuārius, honoring Janus, the two-faced Roman god of beginnings, transitions, and doorways, who symbolized looking both backward and forward. February stems from Februarius, linked to the Latin verb februare meaning "to cleanse" or "purify," reflecting the month's association with purification rites like the Lupercalia festival. March is named after Martius, dedicated to Mars, the god of war and agriculture, as it traditionally opened the campaigning season in the Roman year. July was originally Quintilis (fifth month) but renamed Iulius in 44 BCE to commemorate Julius Caesar's contributions to calendar reform. Similarly, August, formerly Sextilis (sixth month), was retitled Augustus in 8 BCE to honor Emperor Augustus. September through December preserve their numerical roots from the early Roman ten-month calendar—septem (seven), octo (eight), novem (nine), and decem (ten)—even after the addition of January and February shifted their positions to the ninth through twelfth months. As the spread through conquest and cultural exchange, month names adapted to local languages and traditions, often blending with indigenous terms. In Anglo-Saxon England, the Roman names coexisted with native equivalents tied to and ; for example, was known as Solmonath, from sol meaning "mud" or "mire," describing the thawing, muddy ground typical of the late winter season. The French Revolutionary Calendar (1793–1805) attempted a radical break from Roman influences by devising nature-themed names; , the eleventh month (roughly July–August), combined Greek thermē (heat) with dōron (gift), evoking the "gift of heat" during midsummer. These innovations, however, were short-lived and abandoned after ’s rise, reverting to the Gregorian system. Non-Roman calendars developed independent naming conventions rooted in their cultural and linguistic contexts. In the Islamic lunar calendar, months bear names with descriptive or sacred connotations; , the first month, originates from ḥarām (forbidden or sacred), denoting a period when warfare was prohibited in and later upheld in as one of the four . The , influenced by Babylonian exile in the BCE, uses names like for its first spring month (March–April), derived from Akkadian nīsan meaning "beginning" or "to set out," aligning with themes of renewal and narrative. Similarly, the Persian solar calendar draws from Zoroastrian theology; , the eleventh month (January–February), comes from Vohu Manah (), representing one of the seven divine attributes associated with righteousness and animal husbandry. Linguistic has shaped these names across centuries and languages, with shifts in , and form reflecting phonetic changes and borrowings. For instance, Latin Martius became mars and then English "March," while in Spanish it is marzo and in Italian marzo, preserving the root but adapting to Romance vowel shifts. These adaptations highlight how month names endure as linguistic fossils, bridging ancient etymologies with contemporary usage.

Months in Religion and Folklore

In , the month of holds significant religious importance through the observance of Advent, a four-week period of preparation for the celebrated on , emphasizing themes of anticipation and spiritual reflection. This season typically begins on the fourth before , often falling in late but culminating in with rituals like lighting Advent wreaths to symbolize hope, peace, joy, and love. Similarly, is a 40-day period of fasting, prayer, and penance in the Christian liturgical calendar, generally spanning from in February or early March to Holy Thursday, commemorating Jesus's time in the wilderness and preparing for . In , months in the lunar calendar align with specific festivals, such as , which occurs during the month of Phalguna—typically in March—marking the arrival of spring through rituals of color-throwing, bonfires, and the triumph of good over evil as depicted in myths like the story of and . Folklore traditions often link months to astrological and natural cycles, including zodiac associations where Aries, symbolizing the ram and new beginnings, governs the period from late March to mid-April, influencing personality traits like leadership and initiative in various cultural beliefs. Autumn months, particularly September and October, feature the harvest moon—the full moon closest to the autumnal equinox—which rises earlier and provides extended evening light for agricultural work, inspiring folklore tales of abundance and seasonal gratitude across European and Native traditions. Superstitions tied to specific dates within months persist in Western folklore, notably Friday the 13th, considered unlucky due to origins in Norse mythology where Loki, the 13th guest at a divine banquet, orchestrated chaos, compounded by Christian associations with Judas as the 13th at the Last Supper. Cross-culturally, lunar months play a central role in spiritual practices, as seen in many Native American traditions that follow a 13-moon to track seasonal changes and conduct shamanic ceremonies, with each moon named for natural phenomena like the Wolf Moon in January or the Strawberry Moon in June to foster harmony with the environment. In the , the consists of 19 months of 19 days each, plus intercalary days, designed to promote unity and equality by aligning personal devotion with communal harmony, with months named after virtues like Glory or to inspire spiritual growth. Modern revivals of pagan traditions emphasize the , an eight-spoke cycle of festivals marking solstices and es that intersect with Gregorian months, such as around December 21 for the celebrating light's return or Ostara in for the vernal honoring renewal and fertility. These contemporary practices, rooted in ancient European but adapted in the through Wiccan and neopagan movements, encourage seasonal rituals to reconnect with nature's rhythms and promote ecological awareness.

Modern Usages and Variations

In and , fiscal months often deviate from civil months to facilitate consistent reporting and comparisons. The 4-4-5 calendar structure divides each quarter into three periods of 4 weeks, 4 weeks, and 5 weeks, totaling 13 weeks per quarter and 52 or 53 weeks annually, which standardizes financial periods regardless of calendar irregularities. This approach, widely adopted in retail and corporate , ensures that each fiscal month ends on the same weekday, simplifying budgeting and performance analysis. Some systems incorporate ISO week-date adjustments per the standard, where weeks begin on and fiscal years consist of 52 or 53 full weeks, aiding international alignment in multinational operations. In legal contexts, the term "month" underpins flexible agreements like month-to-month tenancies, which are periodic leases without a fixed end date that automatically renew each month upon rent payment, terminable by either party with notice typically equivalent to one rental period. Age calculations in months provide precision in statutes and contracts; for instance, federal retirement benefits under the are reduced by 5/12 of 1% for each full month a retiree is under the minimum . Reaching 18 years of age equates to 216 months, a benchmark used in eligibility determinations for contracts, benefits, or protections like the Child Status Protection Act, where age is computed to the day but often referenced monthly. Scientific applications treat months as standardized units for temporal and . In , timelines are delineated in months to quantify duration and experience; the mandates at least 36 months of non-overlapping project leadership for PMP certification eligibility among those with a . Climate science relies on monthly aggregations for long-term normals, with the National Centers for Environmental Information computing 30-year averages of variables like temperature and precipitation from station data, updated decennially to reflect climatic baselines. Variations in modern month definitions accommodate diverse needs, particularly in fiscal and digital realms. Fiscal years often commence outside January; in the , the tax year starts on 6 April and ends on 5 April, aligning with historical and administrative conventions to separate financial closings from calendar year-ends. Post-2000 digital innovations, such as apps like CalendarBudget, enable customizable month representations in visual planners, allowing users to overlay fiscal periods or irregular cycles onto interactive grids for personalized budgeting and scheduling. Unlike civil months derived from the Gregorian calendar's solar alignment, these adaptations emphasize utilitarian flexibility in contemporary professional and personal tools.

References

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