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The Hindu calendar, also called (), is one of various lunisolar calendars that are traditionally used in the Indian subcontinent and , with further regional variations for social and religious purposes. They adopt a similar underlying concept for timekeeping based on for and adjustment of lunar cycles in every three years, but differ in their relative emphasis to moon cycle or the sun cycle and the names of months and when they consider the New Year to start. Of the various regional calendars, the most studied and known Hindu calendars are the (Based on the , also the Indian national calendar) found in the of Southern India and the (Bikrami) found in Nepal and the North and Central regions of – both of which emphasize the lunar cycle. Their new year starts in spring. In regions such as Tamil Nadu and Kerala, the solar cycle is emphasized and this is called the (though Tamil Calendar uses month names like in Hindu Calendar) and Malayalam calendar and these have origins in the second half of the 1st millennium CE. A Hindu calendar is sometimes referred to as (पञ्चाङ्गम्), which is also known as in Eastern India.

(2025). 9780791470824, State University of New York Press. .

The ancient Hindu calendar conceptual design is also found in the Babylonian calendar, the , and the , but different from the Gregorian calendar.

(2025). 9780198745570, Oxford University Press. .
Unlike the Gregorian calendar which adds additional days to the month to adjust for the mismatch between twelve lunar cycles (354 lunar days)
(2025). 9780521235945, Cambridge University Press. .
, Quote: "the lunar year consists of 354 days".
and approximately 365 solar days, the Hindu calendar maintains the integrity of the lunar month, but inserts an extra full month, once every 32–33 months, to ensure that the festivals and crop-related rituals fall in the appropriate season.
(2025). 9780691120485, Princeton University Press. .

The Hindu calendars have been in use in the Indian subcontinent since Vedic times, and remain in use by the all over the world, particularly to set Hindu festival dates. Early Buddhist communities of India adopted the ancient Vedic calendar, later Vikrami calendar and then local Buddhist calendars. Buddhist festivals continue to be scheduled according to a lunar system.

(2025). 9781583403754, BRB. .
The Buddhist calendar and the traditional lunisolar calendars of , , , and are also based on an older version of the Hindu calendar. Similarly, the ancient traditions in their calendar have followed the same lunisolar system as the Hindu calendar for festivals, texts and inscriptions. However, the Buddhist and Jain timekeeping systems have attempted to use the Buddha and the Mahavira's lifetimes as their .
(2025). 9780857713926, I.B.Tauris. .
(2025). 9780195132342, Oxford University Press. .
(2025). 9781400848058, Princeton University Press. .

The Hindu calendar is also important to the practice of Hindu astrology and zodiac system. It is also employed for observing the auspicious days of deities and occasions of fasting, such as .


Origins
The developed a sophisticated time keeping methodology and calendars for Vedic rituals, and timekeeping as well as the nature of solar and Moon movements are mentioned in Vedic texts. For example, Kaushitaki chapter 19.3 mentions the shift in the relative location of the Sun towards north for 6 months, and south for 6 months.

Time keeping was important to Vedic rituals, and was the Vedic era field of tracking and predicting the movements of astronomical bodies in order to keep time, in order to fix the day and time of these rituals. This study is one of the six ancient , or ancillary science connected with the .James Lochtefeld (2002), "Jyotisha" in The Illustrated Encyclopedia of Hinduism, Vol. 1: A–M, Rosen Publishing, , pp. 326–327

Yukio Ohashi states that this Vedanga field developed from actual astronomical studies in ancient Vedic Period. The texts of Vedic Jyotisha sciences were translated into the in the 2nd and 3rd centuries CE, and the Rigvedic passages on astronomy are found in the works of Zhu Jiangyan and . According to , the beginning of the Hindu calendar was much earlier. He cites Greek historians describing Maurya kings referring to a calendar which originated in 6676 BCE known as Saptarsi calendar.

The Vikrami calendar is named after king and starts in 57 BCE.

(2025). 9780198745570, Oxford University Press. .


Texts
Hindu scholars kept precise time by observing and calculating the cycles of (the Sun), Moon and the planets. These calculations about the Sun appear in various astronomical texts in , such as the 5th-century Aryabhatiya by , the 6th-century Romaka by Latadeva and Panca Siddhantika by Varahamihira, the 7th-century Khandakhadyaka by Brahmagupta and the 8th-century Sisyadhivrddida by Lalla.
(1989). 9788120806122, Motilal Banarsidass (Reprint), Original: Yale University Press, American Oriental Society. .
These texts present Surya and various planets and estimate the characteristics of the respective planetary motion. Other texts such as Surya Siddhanta dated to have been completed sometime between the 5th century and 10th century present their chapters on various deified planets with stories behind them.

The manuscripts of these texts exist in slightly different versions. They present Surya, planet-based calculations and Surya's relative motion to Earth. These vary in their data, suggesting that the text were open and revised over their lives.

(1994). 9788120605305, Asian Educational Services. .
(1989). 9788120806122, Motilal Banarsidass (Reprint), Original: Yale University Press, American Oriental Society. .
For example, the 1st millennium CE Hindu scholars calculated the sidereal length of a year as follows, from their astronomical studies, with slightly different results:
(1989). 9788120806122, Motilal Banarsidass (Reprint), Original: Yale University Press, American Oriental Society. .

>'''Hindu text''''''Estimated length of the [[sidereal year]]'''
>''[[Surya Siddhanta]]''365 days, 6 hours, 12 minutes, 36.56 seconds
>''Paulica Siddhanta''365 days, 6 hours, 12 minutes, 36 seconds
>''Paracara Siddhanta''365 days, 6 hours, 12 minutes, 31.50 seconds
>''Arya Siddhanta''365 days, 6 hours, 12 minutes, 30.84 seconds
>''Laghu Arya Siddhanta''365 days, 6 hours, 12 minutes, 30 seconds
>''Siddhanta Shiromani''365 days, 6 hours, 12 minutes, 9 seconds

The Hindu texts used the lunar cycle for setting months and days, but the solar cycle to set the complete year. This system is similar to the Jewish and Babylonian ancient calendars, creating the same challenge of accounting for the mismatch between the nearly 354 lunar days in twelve months, versus over 365 solar days in a year. They tracked the solar year by observing the entrance and departure of Surya (sun, at sunrise and sunset) in the constellation formed by stars in the sky, which they divided into 12 intervals of 30 degrees each.

(2025). 9780521885409, Cambridge University Press.
Like other ancient human cultures, Hindus innovated a number of systems of which intercalary months became most used, that is adding another month every 32.5 months on average. As their calendar keeping and astronomical observations became more sophisticated, the Hindu calendar became more sophisticated with complex rules and greater accuracy.
(2025). 9781317439066, Routledge. .
(2025). 9780691120485, Princeton University Press. .

According to Scott Montgomery, the Siddhanta tradition at the foundation of Hindu calendars predate the Christian era, once had 18 texts of which only 5 have survived into the modern era. These texts provide specific information and formulae on motions of Sun, Moon and planets, to predict their future relative positions, equinoxes, rise and set, with corrections for prograde, retrograde motions, as well as parallax. These ancient scholars attempted to calculate their time to the accuracy of a truti (29.63 microseconds). In their pursuit of accurate tracking of relative movements of celestial bodies for their calendar, they had computed the mean diameter of the Earth, which was very close to the actual 12,742 km (7,918 mi).

Hindu calendars were refined during the astronomy by Āryabhaṭa and in the 5th to 6th century. These, in turn, were based in the of , which in the preceding centuries had been standardised in a number of (non-extant) works known as . Regional diversification took place in the medieval period. The astronomical foundations were further developed in the medieval period, notably by Bhāskara II (12th century).


Balinese Hindu calendar
Hinduism and Buddhism were the prominent religions of southeast Asia in the 1st millennium CE, prior to the Islamic conquest that started in the 14th century. The Hindus prevailed in Bali, Indonesia, and they have two types of Hindu calendar. One is a 210-day based which likely is a pre-Hindu system, and another is similar to lunisolar calendar system found in South India and it is called the Balinese saka calendar which uses Hindu methodology. The names of month and festivals of Balinese Hindus, for the most part, are different, though the significance and legends have some overlap.
(2025). 9780521885409, Cambridge University Press. .


Astronomical basis
The Hindu calendar is based on a of the . A large part of this calendar is defined based on the movement of the Sun and the Moon around the Earth (saura māna and cāndra māna respectively). Furthermore, it includes synodic, , and elements. Many variants of the Hindu calendar have been created by including and excluding these elements (solar, lunar, lunisolar etc.) and are in use in different parts of India.

Elements of the Hindu calendar
saura māna rāśi, sauramāsa, varṣa

uttarāyaṇa, dakṣiṇāyana, devayāna, pitṛyāṇa, ṛtu

cāndra māna

tithi, pakṣa, candramāsa, varṣa
nākṣatra māna dina, ghaṭikā (aka nāḍī), vighaṭikā (aka vināḍī), prāṇa (aka asu)
sāvana mānadina


Year: Samvat
Samvat refers to era of the several Hindu calendar systems in and , in a similar manner to the . There are several samvat found in historic Buddhist, Hindu and Jain texts and epigraphy, of which three are most significant: Vikrama era, Old Shaka era and Shaka era of 78 CE.
  • (Bikram Sambat): A northern Indian almanac which started in 57 BCE, and is also called the Vikrama Era. It is related to the , and is apocryphally linked to Vikramaditya. The year starts from the month of Baishakh / . This system is common in epigraphic evidence from northern, western, central and eastern Indian subcontinent, particularly after the early centuries of the 1st millennium CE.
  • : There are two Shaka era systems in scholarly use, one is called Old Shaka Era, whose epoch is uncertain, probably sometime in the 1st millennium BCE because ancient Buddhist, Jain and Hindu inscriptions and texts use it. However, the starting point of Old Shaka Era is a subject of dispute among scholars. The second system is called Saka Era of 78 AD, or simply Saka Era, a system that is common in epigraphic evidence from southern India.
    (1998). 9780195356663, Oxford University Press. .
  • Saka era of : The Hindu calendar system in Indonesia is attributed to the legend of Hindus arriving with a sage Aji Saka in 1st-century , in March 78 CE.
    (2025). 9781920694098, University of Western Australia Press. .
    (2025). 9781598842050, ABC-CLIO. .
    Numerous ancient and medieval era texts and inscriptions found in Indonesian islands use this reference year.
    (2025). 9789794618837, Yayasan Pustaka Obor Indonesia. .
    In mainland southeast Asia, the earliest verifiable use of Hindu Saka methodology in inscriptions is marked Saka 533 in Ankor Borei, which corresponds to 611 CE, while the inscription in Sumatra, containing three dates in Saka 604 (682 CE), is the earliest known use of the Shaka era in the Indonesian islands. However, these inscriptions only set the for the use of the Shaka era in these places, and the Hindu calendar likely existed in southeast Asia before these dates to be used in important monuments. Further, the Hindu calendar system remained popular among the Hindus through to the 15th century, and thereafter in Bali.
    (1978). 9789004057524, BRILL Academic. .
  • Indian national calendar (modern): combines many Hindu calendars into one official standardized one, but old ones remain in use.


Months

Solar month and seasons
The Hindu calendar divides the zodiac into twelve division called rāśi ("group"). The Sun appears to move around the Earth through different divisions/constellations in the sky throughout the year, which in reality is actually caused by the Earth revolving around the Sun. The rāśis have 30° each and are named for constellations found in the zodiac.

The time taken by the Sun to transit through a rāśi is a solar month whose name is identical to the name of the rāśi. In practice, solar months are mostly referred as rāśi (not months).

The solar months are named differently in different regional calendars. While the Malayalam calendar broadly retains the phonetic Sanskrit names, the Bengali and Tamil calendars repurpose the Sanskrit lunar month names (Chaitra, Vaishaka etc.) as follows:

  • The Tamil calendar replaces Mesha, Vrisha etc. with Chithirai, Vaigasi etc.
  • The Bengali calendar is similar to the Tamil calendar except in that it starts the year with Boiśākh (instead of Choitrô), followed by Jyoisthô etc. The Assamese and Odia calendars too are structured the same way.

The solar months ( rāśi) along with their equivalent names in the Bangali, Malayalam and Tamil calendar are given below:

>+ Hindu Solar Zodiac and Months !# !English/LatinSanskrit !Sanskrit meaning ! width="100"Malayalam !width=100Tamil !TuluGregorian
1Meṣaramব’হাগ (Böhag)বৈশাখ (Boiśākh)മേടം (Mēḍaṃ)ବୈଶାଖ (Baiśākha)சித்திரை (Śittirai)PagguApril–May
2Vṛṣabhabullজেঠ (Zeth)জ্যৈষ্ঠ (Jyoisthô)ഇടവം (Iḍavaṃ)ଜ୍ୟେଷ୍ଠ (Jyēṣṭha)வைகாசி (Vaigāsi)May–June
3Mithunatwinsআহাৰ (Ahar)আষাঢ় (Āsādh)മിഥുനം (Mithunaṃ)ଆଷାଢ଼ (Āṣāḍha)ஆனி (Āṉi)June–July
4Karkaṭacrabশাওণ (Xaün)শ্রাবণ (Śrābôṇ)കർക്കടകം (Karkkaṭakam)ଶ୍ରାବଣ (Śrābaṇa)ஆடி (Āḍi)July–August
5Siṃhalionভাদ (Bhado)ভাদ্র (Bhādrô)ചിങ്ങം (Ciṅṅaṃ)ଭାଦ୍ରବ (Bhādraba) or

ଭାଦ୍ର (Bhādra)

ஆவணி (Āvaṇi)August–September
6Kanyāgirlআহিন (Ahin)আশ্বিন (Āśhshin)കന്നി (Kanni)ଆଶ୍ୱିନ (Āśvina)புரட்டாசி (Puraṭṭāsi)September–October
7Tulāscalesকাতি (Kati)কার্তিক (Kārtik)തുലാം (Tulāṃ)କାର୍ତ୍ତିକ (Kārttika)ஐப்பசி (Aippasi)October–November
8Vṛścikascorpionআঘোণ (Aghün)অগ্রহায়ণ (Ôgrôhāyôn)വൃശ്ചികം (Vr̥ścikaṃ)ମାର୍ଗଶିର (Mārgaśira)கார்த்திகை (Kārttigai)November–December
9Dhanusarchery bowপুহ (Puh)পৌষ (Poush)ധനു (Dhanu)ପୌଷ (Pauṣa)மார்கழி (Mārgaḻi)December–January
10Makarasea monsterমাঘ (Magh)মাঘ (Māgh)മകരം (Makaram)ମାଘ (Māgha)தை (Tai)January–February
11Kumbhawater potফাগুন (Phagun)ফাল্গুন/ ফাগুন (Phālgun/Phagun)കുംഭം (Kumbham)ଫାଲ୍‌ଗୁନ (Phālguna) or

ଫଗୁଣ (Phaguṇa)

மாசி (Māsi)February–March
12Mīnafishচ’ত (Söt)চৈত্র (Choitrô)മീനം (Mīnaṃ)ଚୈତ୍ର (Chaitra)பங்குனி (Paṅguṉi)March–April

The solar months ( rāśi) along with the approximate correspondence to Hindu seasons and Gregorian months are:

Mīna Meṣa♓ ♈Mid March– Mid MayVasanta (Spring)वसन्तবসন্ত (Bôsôntô)વસંત ઋતુ (Vasaṃta r̥tu)ವಸಂತ ಋತು (Vasaṃta Ṛtu)سونٛتھ

പൂക്കാലം (Pookkaalam)ବସନ୍ତ (Basanta)இளவேனில் (ilavenil)వసంత ఋతువు (Vasaṃta Ṛtuvu)དཔྱིད་ར་བ་དང་དཔྱིད་བར་མ (shid rawa, thang, shid warma)དཔྱིད་ཀ (shid ka)
Vṛṣabha Mithuna♉ ♊Mid May– Mid July ()ग्रीष्मগ্রীষ্ম (Grishsho)ગ્રીષ્મ ઋતુ (Grīṣma r̥tu)ಗ್ರೀಷ್ಮ ಋತು (Grīṣma Ṛtu)گرٛێشِم

വേനൽ (Venal)ଗ୍ରୀଷ୍ମ (Grīṣma)முதுவேனில் (mudhuvenil)గ్రీష్మ ఋతువు (Grīṣma Ṛtuvu)དཔྱིད་ཐ་མ་དང་དབྱར་ར་བ། (shid dama, thang, yar rawa)སོ་ག(soga)
Karkaṭa Siṃha♋ ♌Mid July– Mid SepVarṣā ()वर्षाবর্ষা (Bôrsha)વર્ષા ઋતુ (Varṣa r̥tu)ವರ್ಷ ಋತು (Varṣa Ṛtu)ؤہراتھ

മഴക്കാലം (Mazhakkalam)ବର୍ଷା (Barṣā)கார் (kaar)వర్ష ఋతువు (Varṣa Ṛtuvu)དབྱར་བར་མ་དང་དབྱར་ཐ་མ (yarwarma, thang, yardama)དབྱར་ག (yarka)
Kanyā Tulā♍ ♎Mid Sep– Mid NovŚarad ()शरद्শরৎ(Shôrôt)શરદ ઋતુ (Śarad r̥tu)ಶರದೃತು (Śaradṛtu)ہَرُد

ഇലപൊഴിയും കാലം (Elapzhiyum kalam)ଶରତ (Śarata)குளிர் (kulir)శరదృతువు (Śaradṛtuvu)སྟོན་ར་བ་དང་སྟོན་བར་མ (ston rawa, thang, ston warma)སྟོན་ཁ (stonka)
Vṛścika Dhanu♏ ♐Mid Nov– Mid JanHemanta (Pre-)हेमन्तহেমন্ত (Hemôntô)હેમંત ઋતુ (Hēmaṃta r̥tu)ಹೇಮಂತ ಋತು (Hēmaṃta Ṛtu)وَنٛدٕ

കുളിർക്കാലം (Kulirkkaalam)ହେମନ୍ତ (Hemanta)முன்பனி (munpani)హేమంత ఋతువు (Hēmaṃta Ṛtuvu)སྟོན་ཐ་མ་དང་དགུན་ར་བ (ston da ma, thang, dgun rawa)དགུན་སྟོད (dgun stod)
Makara Kumbha♑ ♒Mid Jan– Mid MarchŚiśira ()शिशिरশীত (Śeet)શિશિર ઋતુ (Śiśira r̥tu)ಶಿಶಿರ ಋತು (Śiśira Ṛtu)شِشُر

മഞ്ഞുകാലം (Manjnju kaalam)ଶୀତ/ଶିଶିର (Śīta/Śiśira)பின்பனி (pinpani)శిశిర ఋతువు (Śiśira Ṛtuvu)དགུན་བར་མ་དང་དགུན་ཐ་མ (dgun warma, thang, dgun dama)དགུན་སྨད (dgun smad)

The names of the solar months are also used in the for the planet .


Lunar months
Lunar months are defined based on lunar cycles, i.e. the regular occurrence of new moon and full moon and the intervening waxing and waning phases of the moon.


Paksha
A lunar month contains two fortnights called (पक्ष, literally "side"). One fortnight is the bright, waxing half where the moon size grows and it ends in the full moon. This is called "Gaura Paksha" or Shukla Paksha. The other half is the darkening, waning fortnight which ends in the new moon. This is called "Vadhya Paksha" or Krishna Paksha. The Hindu festivals typically are either on or the day after the full moon night or the darkest night ( amavasya, अमावास्या), except for some associated with , or . The lunar months of the hot summer and the busy major cropping-related part of the monsoon season typically do not schedule major festivals.
(2025). 9780691120485, Princeton University Press. .


Amānta and Purnimānta systems
Two traditions have been followed in the Indian subcontinent with respect to lunar months: the amānta tradition, which ends the lunar month on day (similar to the ) and the purnimānta tradition, which ends it on day.
(1993). 9788120810242, Motilal Banarsidass. .
As a consequence, in the amanta tradition, Shukla paksha precedes Krishna paksha in every lunar month, whereas in the purnimānta tradition, Krishna paksha precedes Shukla paksha in every lunar month. As a result, a Shukla paksha will always belong to the same month in both traditions, whereas a Krishna paksha will always be associated with different (but succeeding) months in each tradition.

Variations in the naming of lunar months ! !Krishna Paksha !Shukla Paksha !Krishna Paksha
AmāntaPhālgunaChaitra
PurnimāntaChaitraVaishākha

The amanta (also known as Amāvasyānta or Mukhyamana) tradition is followed by most Indian states that have a peninsular coastline (except , , , and , which use their own ). These states are , , , , and . Nepal and most Indian states north of the Vindhya mountains follow the poornimānta (or Gaunamana) tradition.

The poornimānta tradition was being followed in the . It was replaced with the amanta tradition as the Hindu calendar system prior to the 1st century BCE, but the Poornimanta tradition was restored in 57 BCE by king , who wanted to return to the Vedic roots. The presence of this system is one of the factors considered in dating ancient Indian manuscripts and epigraphical evidence that have survived into the modern era.

(1965). 9788120811669, Motilal Banarsidass. .

The two traditions of Amanta and Purnimanta systems have led to alternate ways of dating any festival or event that occurs in a Krishna paksha in the historic Hindu, Buddhist or Jain literature, and contemporary regional literature or festival calendars. For example, the Hindu festival of Maha Shivaratri falls on the fourteenth lunar day of Magha's Krishna paksha in the Amanta system, while the same exact day is expressed as the fourteenth lunar day of Phalguna's Krishna paksha in the Purnimanta system. Both lunisolar calendar systems are equivalent ways of referring to the same date, and they continue to be in use in different regions, though the Purnimanta system is now typically assumed as implied in modern Indology literature if not otherwise specified.


List
The names of the Hindu months vary by region. Those Hindu calendars which are based on lunar cycle are generally phonetic variants of each other, while the solar cycle are generally variants of each other too, suggesting that the timekeeping knowledge travelled widely across the Indian subcontinent in ancient times.

During each lunar month, the Sun transits into a sign of the zodiac (). The lunar month in which the Sun transits into Mesha is named Chaitra and designated as the first month of the lunar year.

A few major calendars are summarized below:

>+ Lunar calendar month names in different Hindu calendars !style="background: #ffad66;" width=50Sankranti !Bhojpuri !Hindi !Kannada !Kashmiri !Maithili !Marathi !Meitei !Nepali !Punjabi !Sindhi !Telugu !Tulu !Tibetan !Gregorian
Meṣa चैत/चैत्रಚೈತ್ರ (chaitra)ژِتھٕر𑒔𑒻𑒞𑒱 (chait)चैत्र चैत(chait) చైత్రము (chaitramu)suggiནག་པ་ཟླ་བMarch–April
Vṛṣa बैसाख/वैशाखವೈಶಾಖ (vaisākha)وَہؠکھ

or

بیساکھ

𑒥𑒻𑒮𑒰𑒐 (baishakh)वैशाख वैशाख (baishākh) or

వైశాఖము (vaiśākhamu)

pagguས་ག་ཟླ་བApril–May
JyeṣṭhaMithuna जेठ/ज्येष्ठಜ್ಯೇಷ್ಠ (jyeshta)زیٹھ

𑒖𑒹𑒚 (jeth)ज्येष्ठ जेठ(jēṭh) జ్యేష్ఠము(jyēsṭhamu)bēshaསྣྲོན་ཟླ་བMay–June
Karka असाढ़/आषाढಆಷಾಢ (āshāda)ہار

𑒁𑒮𑒰𑒜𑓃 (asadh)आषाढ असार (asār) or

ఆషాఢము (āṣāḍhamu)

kārteཆུ་སྟོད་ཟླ་བJune–July
ŚrāvaṇaSiṃha सावन/श्रावणಶ್ರಾವಣ (shrāvana)شرٛاوُن𑒮𑒰𑒍𑒢 (saon)श्रावण साउन (sāun) శ్రావణము (śrāvaṇamu)aaṭiགྲོ་བཞིན་ཟླ་བJuly–August
BhādrapadaKanyā भादों/भाद्रपदಭಾದ್ರಪದ (bhādrapada)بٲدٕرپؠتھ𑒦𑒰𑒠𑒼 (bhado)भाद्रपद भदौ (bhadau) or

భద్రపదము (bhadrapadamu)

sonaཁྲིམས་སྟོད་ཟླ་བAugust–September
AśvinTulā आसिन/आश्विनಆಶ್ವಯುಜ (āswayuja)ٲشِد

𑒂𑒮𑒱𑒢 (aasin)आश्विन असोज (asoj) ఆశ్వయుజము (āśvayujamu)kanya/nirnālཐ་སྐར་ཟླ་བSeptember–October
KārttikaVṛśchika का(र्)तिकಕಾರ್ತೀಕ (kārtika)کارتِکھ

𑒏𑒰𑒞𑒱𑒏 (katik)कार्तिक कात्तिक (kāttik) కార్తికము (kārtikamu)bontelསྨིན་དྲུག་ཟླ་བOctober–November
Dhanu अघन/अग्रहायण, मँगसिर/मार्गशीर्षಮಾರ್ಗಶಿರ (mārgasira)مَنٛجہۆر𑒁𑒑𑒯𑒢 (agahan)मार्गशीर्ष मंसिर (mangsir) or

మార్గశిరము (mārgaśiramu)

jārdeམགོ་ཟླ་བNovember–December
Makara पूस/पौषಪುಷ್ಯ (pushya)پوہ or پۄہ𑒣𑒴𑒮 (poos)पौष पुष (puṣ) పుష్యము (puṣyamu)perardeརྒྱལ་ཟླ་བDecember–January
MāghaKumbha माघಮಾಘ (magha)ماگ

𑒧𑒰𑒒 (magh)माघ माघ (magh) మాఘము (māghamu)puyintelམཆུ་ཟླ་བJanuary–February
Mīna फा(ल्)गुनಫಾಲ್ಗುಣ (phalguna)پھاگُن

𑒤𑒰𑒑𑒳𑒢 (fagun)फाल्गुण फागुन (phagun) ఫాల్గుణము (phālguṇamu)māyiདབོ་ཟླ་བFebruary–March


Corrections between lunar and solar months
Twelve Hindu mas (māsa, lunar month) are equal to approximately 354 days, while the length of a sidereal (solar) year is about 365 days. This creates a difference of about eleven days, which is offset every (29.53/10.63) = 2.71 years, or approximately every 32.5 months. Purushottam Maas or is an extra month that is inserted to keep the lunar and solar calendars aligned. The twelve months are subdivided into six lunar seasons timed with the agriculture cycles, blooming of natural flowers, fall of leaves, and weather. To account for the mismatch between lunar and solar calendar, the Hindu scholars adopted intercalary months, where a particular month just repeated. The choice of this month was not random, but timed to sync back the two calendars to the cycle of agriculture and nature.

The repetition of a month created the problem of scheduling festivals, weddings and other social events without repetition and confusion. This was resolved by declaring one month as Shudha (pure, clean, regular, proper, also called Deva month) and the other Mala or Adhika (extra, unclean and inauspicious, also called month).

(1991). 9788120605237, Asian Educational Services. .

The Hindu mathematicians who calculated the best way to adjust the two years, over long periods of a yuga (era, tables calculating 1000s of years), they determined that the best means to intercalate the months is to time the intercalary months on a 19-year cycle, similar to the used in the . This intercalation is generally adopted in the 3rd, 5th, 8th, 11th, 14th, 16th and 19th year of this cycle. Further, the complex rules rule out the repetition of (also called Agrahayana), and Magha lunar months. The historic Hindu texts are not consistent on these rules, with competing ideas flourishing in the Hindu culture.


Rare corrections
The Hindu calendar makes further rare adjustments, over a cycle of centuries, where a certain month is considered kshaya month (dropped). This occurs because of the complexity of the relative lunar, solar and earth movements. Underhill (1991) describes this part of Hindu calendar theory: "when the sun is in perigee, and a lunar month being at its longest, if the new moon immediately precedes a , then the first of the two lunar months is deleted (called nija or kshaya)." This, for example, happened in the year 1 BCE, when there was no new moon between Makara sankranti and Kumbha sankranti, and the month of Pausha was dropped.
(1991). 9788120605237, Asian Educational Services. .


Day
Just like months, the Hindu calendar has two measures of a day, one based on the lunar movement and the other on solar. The solar ( ) day or civil day, called divasa (दिवस), has been what most Hindus traditionally use, is easy and empirical to observe, with or without a clock, and it is defined as the period from one sunrise to another. The lunar day is called tithi (तिथि), and this is based on complicated measures of lunar movement. A lunar day or tithi may, for example, begin in the middle of an afternoon and end next afternoon.
(1991). 9788120605237, Asian Educational Services. .
Both these days do not directly correspond to a mathematical measure for a day such as equal 24 hours of a solar year, a fact that the Hindu calendar scholars knew, but the system of divasa was convenient for the general population. The tithi have been the basis for timing rituals and festivals, while divasa for everyday use. The Hindu calendars adjust the mismatch in divasa and tithi, using a methodology similar to the solar and lunar months.
(1991). 9788120605237, Asian Educational Services. .

A tithi is technically defined in Vedic texts, states John E. Cort, as "the time required by the combined motions of the Sun and Moon to increase (in a bright fortnight) or decrease (in a dark fortnight) their relative distance by twelve degrees of the zodiac.

(2025). 9780195132342, Oxford University Press. .
These motions are measured using a fixed map of celestial zodiac as reference, and given the elliptical orbits, a duration of a tithi varies between 21.5 and 26 hours, states Cort. However, in the Indian tradition, the general population's practice has been to treat a tithi as a solar day between one sunrise to next.

A lunar month has 30 tithi. The technical standard makes each tithi contain different number of hours, but helps the overall integrity of the calendar. Given the variation in the length of a solar day with seasons, and the Moon's relative movements, the start and end time for tithi varies over the seasons and over the years, and the tithi adjusted to sync with divasa periodically with intercalation.

(1991). 9788120605237, Asian Educational Services. .


Weekday/Vāsara
Vāsara refers to the weekdays in Sanskrit.Monier Monier-Williams, वासर, Sanskrit-English Dictionary, Oxford University Press, page 948 Also referred to as Vara and used as a suffix.
(2025). 9780791470824, State University of New York Press. .
The correspondence between the names of the week in Hindu and other Indo-European calendars are exact. This alignment of names probably took place sometime during the 3rd century CE. The weekday of a Hindu calendar has been symmetrically divided into 60 ghatika, each ghatika (24 minutes) is divided into 60 pala, each pala (24 seconds) is subdivided into 60 vipala, and so on.

>+ Names of the weekdays in different languages
1Ravivāsara
रविवासर or
vāsara
आदित्य वासर
/dies SolisRavi, Aditya = Dêûbār/Rôbibār
দেওবাৰ/ৰবিবাৰ
Rôbibār
রবিবার

Ravivār
રવિવાર
Ravivār
रविवार
Bhānuvāra
ಭಾನುವಾರ
etār
Njaayar
ഞായർ
Ravidin
𑒩𑒫𑒱𑒠𑒱𑒢
Ravivāra
रविवार
Nongmaijing
ꯅꯣꯡꯃꯥꯏꯖꯤꯡ
Aaitabar
आइतवार
Rabibāra
ରବିବାର
Aitvār
ਐਤਵਾਰ
آچَرُ

or

āru

آرتوارُ

Nyayiru
ஞாயிறு
Ādivāraṁ
ఆదివారం
Itvār
Redite
ᬋᬤᬶᬢᭂ
Adit
2Somavāsara
सोमवासर or
Indu vāsara
इन्दु वासर
/dies Soma (deity), = Xûmbār
সোমবাৰ
Śombār
সোমবার
Somār
Sōmavār
સોમવાર
Somavār
सोमवार
Sōmavāra
ಸೋಮವಾರ
ژٔنٛدرٕوارSomaar
सोमारThinkal
തിങ്കൾ
Somdin
𑒮𑒼𑒧𑒠𑒱𑒢
Somavāra
सोमवार
Ningthoukaba
ꯅꯤꯡꯊꯧꯀꯥꯕ
Sombar
सोमवार
Somabāra
ସୋମବାର
Somavār
ਸੋਮਵਾਰ
سُومَرُThingal
திங்கள்
Sōmavāraṁ
సోమవారం
Somvār

or

Pīr

Soma
ᬲᭀᬫ
Thom
3vāsara
मङ्गलवासर or
Bhaumavāsara
भौम वासर
/dies Martis =
মঙলবাৰ/মঙ্গলবাৰ

মঙ্গলবার


મંગળવાર

मंगलवार

ಮಂಗಳವಾರ
or

Mangala]

بۄنٛوار


मंगळार

ചൊവ്വ

𑒧𑓀𑒑𑒪𑒠𑒱𑒢

मंगळवार
Leipakpokpa
ꯂꯩꯄꯥꯛꯄꯣꯛꯄ

मङ्गलवार

ମଙ୍ଗଳବାର

ਮੰਗਲਵਾਰ
مَنگلُ

or

اَنڱارو


செவ்வாய்

మంగళవారం


ᬳᬂᬕᬭ
4vāsara
बुधवासर or
Saumya vāsara
सौम्य वासर
/dies Mercurii = Mercury
বুধবাৰ

বুধবার

ār
બુધવાર
āra
बुधवार
āra
ಬುಧವಾರ
ār
बुधवार

ബുധൻ

𑒥𑒳𑒡𑒠𑒱𑒢
āra
बुधवार
Yumsakeisa
ꯌꯨꯝꯁꯀꯩꯁ

बुधवार
āra
ବୁଧବାର

ਬੁੱਧਵਾਰ
ٻُڌَرُ

or

اَربع


புதன்
āraṁ
బుధవారం


ᬩᬸᬤ
5vāsara
गुरुवासर
or
Brhaspati vāsara
बृहस्पतिवासर
/dies Iovis/JupiterDeva-Guru Bṛhaspati = Brihôspôtibār
বৃহস্পতিবাৰ
Brihôśpôtibār
বৃহস্পতিবার

ār
ગુરુવાર
ār
गुरुवार or
Brihaspativāra
बृहस्पतिवार
āra
ಗುರುವಾರ
braswaːr برَٛسوار

or

brʲaswaːr برٛؠسوار


बिरेस्तार

വ്യാഴം

𑒥𑒵𑒯𑒮𑓂𑒣𑒞𑒲𑒠𑒱𑒢
āra
गुरुवार
Sagolsen
ꯁꯒꯣꯜꯁꯦꯟ

बिहीवार
āra
ଗୁରୁବାର

ਵੀਰਵਾਰ
Vispati وِسپَتِ

or

Khamīsa

خَميِسَ


வியாழன்

గురువారం, బృహస్పతివారం, లక్ష్మీవారం

or



ᬯ᭄ᬭᭂᬲ᭄ᬧᬢᬶ
6vāsara
शुक्रवासर or bhṛguvāsarah भृगुवासर
/dies Veneris =
শুকুৰবাৰ/শুক্রবাৰ

শুক্রবার


શુક્રવાર

शुक्रवार

ಶುಕ್ರವಾರ
or

Shukra]

جُمعہ


शुक्रार

വെള്ളി

𑒬𑒳𑒏𑓂𑒩𑒠𑒱𑒢

शुक्रवार
Eerai
ꯏꯔꯥꯢ

शुक्रवार

ଶୁକ୍ରବାର

ਸ਼ੁੱਕਰਵਾਰ
شُڪرُ

or

جُمعو


வெள்ளி

శుక్రవారం

or


ᬲᬸᬓ᭄ᬭ
7vāsara
शनिवासर or Sthiravāsarah स्थिरवासर
/dies Saturnis =
শনিবাৰ

শনিবার


શનિવાર

शनिवार

ಶನಿವಾರ

शेनवार

ശനി

𑒬𑒢𑒲𑒠𑒱𑒢

शनिवार
Thangja
ꯊꯥꯡꯖ

शनिवार

ଶନିବାର

ਸ਼ਨੀਵਾਰ or

ਸ਼ਨਿੱਚਰਵਾਰ

or

ਸਨਿੱਚਰਵਾਰ

or

ਸਨੀਵਾਰ

ڇَنڇَرُ

or

شَنسچَرُ


சனி

శనివారం

or


ᬲᬦᬶᬲ᭄ᬘᬭ

The term -vāsara is often realised as vāra or vaar in -derived and influenced languages. There are many variations of the names in the regional languages, mostly using alternate names of the celestial bodies involved.


Five limbs of time
The complete Vedic calendars contain five angas or parts of information: lunar day (tithi), solar day (diwas), asterism (naksatra), planetary joining (yoga) and astronomical period (karanam). This structure gives the calendar the name Panchangam. The first two are discussed above.


Yoga
: See the main article on .

The word Yoga means "union, joining, attachment", but in astronomical context, this word means latitudinal and longitudinal information. The longitude of the Sun and the longitude of the Moon are added, and normalised to a value ranging between 0° to 360° (if greater than 360, one subtracts 360). This sum is divided into 27 parts. Each part will now equal 800' (where ' is the symbol of the which means 1/60 of a degree). These parts are called the yogas. They are labelled:

  1. Viṣkambha
  2. Prīti
  3. Āyuśmān
  4. Saubhāgya
  5. Śobhana
  6. Atigaṇḍa
  7. Sukarma
  8. Śūla
  9. Gaṇḍa
  10. Vṛddhi
  11. Vyāghatā
  12. Harṣaṇa
  13. Vyatipāta
  14. Variyas
  15. Parigha
  16. Śiva
  17. Sādhya
  18. Śubha
  19. Śukla
  20. Māhendra
  21. Vaidhṛti

Again, minor variations may exist. The yoga that is active during sunrise of a day is the prevailing yoga for the day.


Karaṇa
A karaṇa is half of a . To be precise, a karaṇa is the time required for the angular distance between the Sun and the Moon to increase in steps of 6° starting from 0°. (Compare with the definition of a tithi.)

Since the tithis are 30 in number, and since 1 tithi = 2 karaṇas, therefore one would logically expect there to be 60 karaṇas. But there are only 11 such karaṇas which fill up those slots to accommodate for those 30 tithis. There are actually 4 "fixed" (sthira) karaṇas and 7 "repeating" (cara) karaṇas.

The 4 "fixed" karaṇas are:

  1. Śakuni (शकुनि)
  2. Catuṣpāda (चतुष्पाद)
  3. Nāga (नाग)
  4. Kiṃstughna (किंस्तुघ्न)

The 7 "repeating" karaṇas are:

(1989). 9788120806122, Motilal Banarsidass. .
  1. Vava or Bava (बव)
  2. Valava or Bālava (बालव)
  3. Kaulava (कौलव)
  4. Taitila or Taitula (तैतिल)
  5. Gara or Garaja (गरज)
  6. Vaṇija (वणिज)
  7. Viṣṭi (Bhadra) (भद्रा)
  8. Now the first half of the 1st tithi (of Śukla Pakṣa) is always Kiṃtughna karaṇa. Hence this karaṇa is "fixed".
  9. Next, the 7-repeating karaṇas repeat eight times to cover the next 56 half- tithis. Thus these are the "repeating" (cara) karaṇas.
  10. The 3 remaining half- tithis take the remaining "fixed" karaṇas in order. Thus these are also "fixed" (sthira).
  11. Thus one gets 60 karaṇas from those 11 preset karaṇas.

The Vedic day begins at sunrise. The karaṇa at sunrise of a particular day shall be the prevailing karaṇa for the whole day. (citation needed )


Nakshatra
are divisions of ecliptic, each 13° 20', starting from 0° Aries.


Festival calendar: Solar and Lunar dates
Many holidays in the Hindu, Buddhist and Jaina traditions are based on the lunar cycles in the lunisolar timekeeping with foundations in the Hindu calendar system. A few holidays, however, are based on the solar cycle, such as the , Pongal and those associated with .
(2025). 9780415939195, Taylor & Francis. .
The dates of the lunar cycle based festivals vary significantly on the Gregorian calendar and at times by several weeks. The solar cycle based ancient Hindu festivals almost always fall on the same Gregorian date every year and if they vary in an exceptional year, it is by one day.


Regional variants
The Hindu Calendar Reform Committee, appointed in 1952, identified more than thirty well-developed calendars, in use across different parts of India.

Variants include the lunar emphasizing Vikrama, and the Shalivahana calendars, as well as the solar emphasizing and Malayalam calendar. The two calendars most widely used today are the calendar, which is in followed in western and and , the calendar which is followed in the region of India (Comprising present day Indian states of , , , , and ).The Shalivahan Shaka calendar follows the Amant system. The year begins on the first day of the bright fortnight of the month of Chaitra.


Lunar
Calendars based on lunar cycle (lunar months in solar year, lunar phase for religious dates and new year):


Solar
Calendars based on solar cycle (solar months in solar year, lunar phase for religious dates but new year which falls on solar date – South and Southeast Asian solar New Year):


Other related calendars across India and Asia
  • Indian national calendar – used by Indian Government (civil calendar based on solar months)
  • Vira Nirvana Samvat (Lunar) – Jain
  • Buddhist calendar (Lunar) – Buddhist
  • (Lunar) – Tibet, Ladakh, Sikkim, Arunachal Pradesh
  • – Bali
  • Balinese saka calendar (Lunar) – Bali
  • (Lunar) – Chams
  • (Lunar) – Myanmar
  • Thai solar calendar – Thailand
  • Thai lunar calendar – Thailand
  • Khmer calendar (Lunar & Solar) – Cambodia


See also


Bibliography


Further reading
  • Reingold and Dershowitz, Calendrical Calculations, Millennium Edition, Cambridge University Press, latest 2nd edition 3rd printing released November 2004.
  • S. Balachandra Rao, Indian Astronomy: An Introduction, Universities Press, Hyderabad, 2000.
  • Rai Bahadur Pandit Gaurishankar Hirachand Ojha, The Paleography of India, 2 ed., Ajmer, 1918, reprinted Manshuram Manoharlal publishers, 1993.


External links
Shalivahana Hindu calendar, United Kingdom

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