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Most of the festivals in our country are based on the luni-solar (or lunar) calendar. Each of these falls on a particular tithi of a specified Paksha (fortnight) in a particular month or day and a few festivals are based on the nakshatras.  
 
Most of the festivals in our country are based on the luni-solar (or lunar) calendar. Each of these falls on a particular tithi of a specified Paksha (fortnight) in a particular month or day and a few festivals are based on the nakshatras.  
   −
== Contents of a Panchanga ==
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== पञ्चाङ्ग॥ Calculations in Panchanga ==
 +
In our country, based on the siddhantas handed down from generations people have evolved calculation systems of the Panchangas. They are still being followed in lineages of families. One who calculates and gives the Panchanga is called a Panchangakarta. The mathematical calculations involved in making a panchanga primarily follows two systems
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# Purvapaddhati
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# Drkganita paddhati
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The Purvapaddhati (or Older System) is said to be followed when the Panchangakarta uses principles laid down in ancient texts without taking into consideration, the astronomical corrections. Followers of Drkganita (meaning the mathematical calculations based on what is seen in the sky) take into accord the changing time points based on changing planetary motions over large periods of time. For example, based on the planetary descriptions in Mahabharata, Bhishma chose to leave his body with the arrival of Uttarayana. This day is observed as Bhishma Ekadasi, in the present days it is around February or Magha Masa (Lunar Amanta System). So around the time of Mahabharata Uttarayana was in the time of Magha Masa. Varahamihira mentions that during his time Uttarayana and Makara Sankramana came together. It should be noted that Uttarayana or the movement of the Sun towards the Northern hemisphere started with the Makara Sankramana time (in January in current time) is also mentioned in Surya Siddhanta. However, if we see the present day planetary motions, it is observed that the Sun takes the northern path from Dhanus (December 22) itself denoting the start of Uttarayana.
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== पञ्चाङ्ग-विषयाः ॥ Contents of a Panchanga ==
 
A Panchanga typically gives the microcosmic details of five aspects of the day to day time. They are
 
A Panchanga typically gives the microcosmic details of five aspects of the day to day time. They are
# तिथिः ॥ Tithi (Lunar Day)
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# तिथिः॥ Tithi (Lunar Day)
# Vara (Day of the week)
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# वारः॥ Vara (Day of the week)
# Nakshatra (Asterism)
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# नक्षत्रम्॥ Nakshatra (Asterism)
# Yoga  
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# योगः॥ Yoga  
# Karana
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# करणः॥ Karana
 
The coordinates for a day include the tithi present at the time of sunrise, the day of the week, the nakshatra in which the moon is present at the time of sunrise, the yoga and karana at sunrise. Thus the calculations for the day starts with the sunrise. It should be noted that sunrise time changes with the places so the factors become different with change in place.
 
The coordinates for a day include the tithi present at the time of sunrise, the day of the week, the nakshatra in which the moon is present at the time of sunrise, the yoga and karana at sunrise. Thus the calculations for the day starts with the sunrise. It should be noted that sunrise time changes with the places so the factors become different with change in place.
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Apart from the above details, additionally, in a Panchanga one finds the information about the following aspects
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Apart from the above details, additionally, in a Panchanga one finds the information about the following aspects of the usage of a Panchanga. Texts such as jyotisha granthas (phalita) and Muhurta Chintamani elaborate the various ritualistic activities to be undertaken by people during specific days the spiritual gains by performing them.<ref>Panchanga (2020-2021) by Sri. Kuppa Anjaneya Sastry (Siddhanti of Kanchi Kamakoti Peetha)</ref>
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# Systems of calculation involved in constructing a Panchanga
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# Results of the particular year based on planetary configuration on Chaitra Shukla Pratipat (may vary slightly due to regional differences)
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# Navanayakas and Grahachara (movement of grahas)
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# Predicting natural phenomena (rains, heat, tsunamis, natural fires etc) based on planetary positions.
 +
# Predicting country's (thereby people's) results such as rainfall, crop yield, business development, crime, accidents, diseases etc
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# Establishing important festivals and days (according to sampradayas)
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# Everyday Tithis, monthly Sankrantis, Nakshatras, Adhikamasa/Kshayamasa, Vishuvats and Rashi chakras etc
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# Dharmas to be performed
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# Important and significant Yogas specific to that year
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# Auspicious Muhurtas (for marriages, upanayana, choula samskaras, grhapravesha, starting new business etc)
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# Graha shanti vidhis (ex, during birth of a child, or at death, malefic astrological charts, [[Rajodharma (रजोधर्मः)|rajodharma]] etc)
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# A few details from Dharmashastras (ex, Rig Veda Upakarma is different from Yajurveda Upakarma)
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# Annual/monthly horoscope predictions for people belonging to 12 rashis
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# Svapna shastra and interpretation of dreams
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# Samudrika shastra and interpretation of body marks
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# [[Asoucha (आशौचम्)|Asoucha]] Prakarana and Shraddha vidhis
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# Activities to be performed in various tithis, days of the week, nakshatras, yogas and karanas
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# Vaastu Prakarana
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# Vivaha Prakarana
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# Other kinds of panchangas such as Bhaskara panchanga, Gauri Panchanga
    
== तिथिः॥Tithi ==
 
== तिथिः॥Tithi ==
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  '''Purnima occurs when Sun and Moon are on the opposite celestial longitudes (180°)'''
 
  '''Purnima occurs when Sun and Moon are on the opposite celestial longitudes (180°)'''
 
A lunar month can thus be reckoned in two ways both of which are followed in Bharatiya Kalamana, thus we have two calendar systems
 
A lunar month can thus be reckoned in two ways both of which are followed in Bharatiya Kalamana, thus we have two calendar systems
* '''Amanta or Mukhyamana''' - starting from Amavasya (new moon) to the succeeding Amavasya. This system is followed in Karnataka, Andhra Pradesh, Telangana, Maharashtra and Gujarat.
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* '''अमान्त-पद्धतिः ॥ Amanta or Mukhyamana''' - starting from Amavasya (new moon) to the succeeding Amavasya. This system is followed in Karnataka, Andhra Pradesh, Telangana, Maharashtra and Gujarat.
* '''Purnimanta or Gaunamana''' - starting from Purnima (full moon) to the succeeding Purnima. This system is followed in most of the north Indian states of Uttar Pradesh, Bihar, Madhya Pradesh, Rajasthan, Haryana and Kashmir.  
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* '''पूर्णिमान्त-पद्धतिः ॥ Purnimanta or Gaunamana''' - starting from Purnima (full moon) to the succeeding Purnima. This system is followed in most of the north Indian states of Uttar Pradesh, Bihar, Madhya Pradesh, Rajasthan, Haryana and Kashmir.  
    
=== चन्द्रकलाः ॥ Phases of Moon ===
 
=== चन्द्रकलाः ॥ Phases of Moon ===
Phases of the Moon is a term used to describe the course of the Moon during the lunar month. During the course of a lunar month, the size and shape of the moon visible from earth appear to change from day to day. Terms such as new, cresent, half, gibbous, and full and then again in the reverse order, until it is new are used to explain the phases of the moon between two Amavasyas. Fifteen tithis or half of a lunar month is called Paksha (पक्षम्) or a fortnight. The Paksha starting from a new moon to the succeeding full moon is called Shukla Paksha (शक्लपक्षम्) or Bright Fortnight and the other Paksha from the full moon to the next new moon is call Krshna Paksha (कृष्णपक्षम्) or the Dark Fortnight. The names of the tithis remain the same in both pakshas, however, this categorization is significant in determination of the coordinates of a day in a given month. Specific activities are associated with each such tithi in a ritual perspective.  
+
Phases of the Moon is a term used to describe the course of the Moon during the lunar month. During the course of a lunar month, the size and shape of the moon visible from earth appear to change from day to day. Terms such as new, cresent, half, gibbous, and full and then again in the reverse order, until it is new are used to explain the phases of the moon between two Amavasyas. Fifteen tithis or half of a lunar month is called Paksha (पक्षम्) or a fortnight. The Paksha starting from a new moon to the succeeding full moon is called Shukla Paksha (शक्लपक्षम्) or Bright Fortnight and the other Paksha from the full moon to the next new moon is call Krshna Paksha (कृष्णपक्षम्) or the Dark Fortnight. The names of the tithis remain the same in both pakshas, however, this categorization is significant in determination of the coordinates of a day in a given month. Specific activities are associated with each such tithi in a ritual perspective.<ref name=":2" />
    
=== तिथयः ॥ Names of Tithis ===
 
=== तिथयः ॥ Names of Tithis ===
The tithis or lunar days which make a Chandra Masa have the following names. The fifteenth tithi is called Purnima and the thirtieth tithi is Amavasya.  
+
The tithis or lunar days which make a Chandra Masa have the following names. The fifteenth tithi is called Purnima and the thirtieth tithi is Amavasya as per Panchanga notations.  
 +
 
 
{{columns-list|colwidth=15em|style=width: 600px; font-style: normal; color: blue|
 
{{columns-list|colwidth=15em|style=width: 600px; font-style: normal; color: blue|
 
* Day 1 : Pratipat (प्रतिपत्)
 
* Day 1 : Pratipat (प्रतिपत्)
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* Day 15 : Paurnami (पौर्णमी)}}
 
* Day 15 : Paurnami (पौर्णमी)}}
   −
=== Names of Lunar Months ===
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The tithis, however, beginning as they do at any hour of the day, do not exactly coincide with solar days, and this gives rise to some little difficulty. The general rule for civil purposes, as well as for some ordinary religious purposes for which no particular time of day happens to be prescribed, is that the tithi current at sunrise of the savana day gives its name and numeral to that day, and is coupled with its week-day. Thus Bhadrapada sukla chaturdasi Sukravara (Friday the 4th of the first or bright fortnight of Bhadrapada) is that civil day at whose sunrise the tithi called the I4th in the bright half or sukla fortnight is current, and its week-day is Friday.<ref>The Indian Calendar (Page 16)</ref>
It has been previously mentioned that Chandramana is a natural unit of time and so also the naming of lunar months is according to the visible changes in the sky. The name of a lunar month is given based on the nakshatra constellation in which the moon is generally present (there is a slight shift) on the Purnima day (that lies between two Amavasya days in Amamta system). It must be noted that these names have been used since Vedic times for determining the days when Yajnas have to be conducted.  
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 +
=== चान्द्रमासः ॥ Names of Lunar Months ===
 +
It has been previously mentioned that Chandramana is a natural unit of time and so also the naming of lunar months is according to the visible changes in the sky. The name of a lunar month is given based on the nakshatra constellation in which the moon is generally present (or near those nakshatras) on the Purnima day (that lies between two Amavasya days in Amamta system). It must be noted that these names have been used since Vedic times for determining the days when Yajnas have to be conducted.
    
Thus in the month when moon is present in the asterism of Chitta at the time of Purnima, that month starting from the Amavasya preceding Purnima and ending with the successive Amavasya is called Chaitra Masa according to the Chandra Mana. The names of the 12 Lunar months are as follows  
 
Thus in the month when moon is present in the asterism of Chitta at the time of Purnima, that month starting from the Amavasya preceding Purnima and ending with the successive Amavasya is called Chaitra Masa according to the Chandra Mana. The names of the 12 Lunar months are as follows  
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{{columns-list|colwidth=15em|style=width: 600px; font-style: normal; color: blue|* Chaitra (चैत्रमासः)
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{{columns-list|colwidth=20em|style=width: 600px; font-style: normal; color: blue|1=# Chaitra (चैत्रमासः) : Nakshatra = Chitta
* Vaishakha (वैशाखमासः)
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# Vaishakha (वैशाखमासः) : Nakshatra = Vishakha
* Jyestha (ज्येष्टमासः)
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# Jyestha (ज्येष्टमासः) : Nakshatra = Jyestha
* Ashadha (आषाढमासः)
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# Aashadha (आषाढमासः) : Nakshatra = Purva Ashada or Uttara Ashadha
* Shravana (श्रावणमासः)
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# Shraavana (श्रावणमासः) : Nakshatra = Shravana
* Bhadrapada (भाद्रपदमासः)
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# Bhadrapada (भाद्रपदमासः) : Nakshatra = Purvabhadra, Uttarabhadra
* Asveyuja (आश्वेयुजमासः)
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# Asveyuja (आश्वेयुजमासः) : Nakshatra = Ashvini
* Kartika (कर्तिकमासः)
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# Kaartika (कार्तिकमासः) : Nakshatra = Krittika
* Margashira (मार्गशीरमासः)
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# Margashira (मार्गशीरमासः) : Nakshatra = Mrgashira
* Pushya (पुष्यमासः)
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# Pushya (पुष्यमासः) : Nakshatra = Pushyami
* Magha (माघमासः)
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# Magha (माघमासः) : Nakshatra = Magha/Makha
* Phalguna (फाल्गुणमासः)}}  
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# Phalguna (फाल्गुणमासः) : Nakshatra = Purvaphalguni or Uttaraphalguni}}
 +
 
 +
=== Names of Samvatsaras (Lunar Years) ===
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[[File:Names of Samvatsaras.PNG|thumb|400x400px|Names of Samvatsaras (Chandra Mana)]]
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Each Lunar year is called a Samvatsara. A cycle of 60 samvatsaras is followed by the people. This cycle is five times the Barhaspatya Mana of 12 years. They have specific names and the good or bad effects in a particular year are indicated to a certain extent in the names of these sixty years.
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=== Vara - Day of the Week ===
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== वारः ॥ Vara - Day of the Week ==
The weekdays are seven as in common knowledge globally. They are named after their adhipatis or specific planetary rulers as follows
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Vara (वारः) Vasara (वासरः) or weekdays are seven as in common knowledge globally, are based on sunrise. They are named after their adhipatis or specific planetary rulers as follows
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{{columns-list|colwidth=15em|style=width: 600px; font-style: normal; color: blue|
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{{columns-list|colwidth=20em|style=width: 600px; font-style: normal; color: blue|
 
* Ravi vasara : रविवासरः (Sunday) also called Bhanuvasara
 
* Ravi vasara : रविवासरः (Sunday) also called Bhanuvasara
 
* Soma vasara : सोमवासरः (Monday) also called Induvasara
 
* Soma vasara : सोमवासरः (Monday) also called Induvasara
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* Shukra vasara : शुक्रवासरः (Friday) also called Bhrgu vasara
 
* Shukra vasara : शुक्रवासरः (Friday) also called Bhrgu vasara
 
* Shani vasara : शनिवासरः (Saturday)also called Manda vasara
 
* Shani vasara : शनिवासरः (Saturday)also called Manda vasara
   
}}
 
}}
    
Surya Siddhanta (11.78) mentions how the days of the week have specific rulers in the given succession. The Sun who is fourth from Saturn is the ruler of the 1st day; the Moon, who is the fourth from the Sun is the ruler of 2nd day; Mars, the fourth from the Moon is the ruler of the 3rd day and so on.
 
Surya Siddhanta (11.78) mentions how the days of the week have specific rulers in the given succession. The Sun who is fourth from Saturn is the ruler of the 1st day; the Moon, who is the fourth from the Sun is the ruler of 2nd day; Mars, the fourth from the Moon is the ruler of the 3rd day and so on.
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== नक्षत्राणि॥ Nakshatras - Asterism ==
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[[File:Nakshatras and their longitudes.PNG|thumb|486x486px|Nakshatras and their range of nirayana longitudes]]
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[[Nakshatras (नक्षत्राणि)|Nakshatras]] refer to the 27th part of the ecliptic and thus each nakshatra spans '''13°20′.''' The time which the moon (whose motion continually varies in speed) or any other heavenly body requires to travel over the 27th part of the ecliptic is also called a nakshatra.<ref name=":2" />
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'''Extent of Nakshatra = 360°/27 = 13°20′'''
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The current nakshatra of the day is obtained by dividing the nirayana longitude of the Moon M, by '''13°20′ (or 13.3333).''' The moon travels nearly one nakshatra daily, which is given in every panchanga. The 27 nakshatras are
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{{columns-list|colwidth=15em|style=width: 600px; font-style: normal; color: blue|# Asvini (अश्विनी)
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# Bharani (भरणी)
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# Krttika (कृत्तिका)
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# Rohini (रोहिणी)
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# Mrgashirsha (मृगशीर्षा) or Mrigashira
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# Ardra (आद्रा)
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# Punarvasu (पुनर्वसू)
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# Pushya (पुष्यः)
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# Ashlesha (आश्लेषा)
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# Magha (मघा)
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# Purvaphalguni (पूर्वफल्गुनी) or Pubba
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# Uttaraphalguni (उत्तरफल्गुनी) or Uttara
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# Hastha (हस्ता)
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# Chitra (चित्रा)
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# Swati (स्वाती)
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# Vishakha (विशाखा)
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# Anuradha (अनुराधा)
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# Jyeshta (ज्येष्ठा)
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# Moola (मूला)
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# Purvashadha (पूर्वाषाढा)
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# Uttarashadha (उत्तराषाढा)
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# Shravana (श्रवणा)
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# Dhanishta (धनिष्ठा)
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# Shatabhisha (शतभिषम्)
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# Purvabhadra (पूर्वाभाद्रा)
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# Uttarabhadra (उत्तराभाद्रा)
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# Revati (रेवती)}}
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Each nakshatra was named after the most prominently visible star (called yogatara or junction star) contained within its range. Each nakshatra is divided into four equal parts, each part being called Pada (quarter) each of 3'''°'''20'. Thus, totally 108 (27x4) nakshatra padas constitute the rashis (zodiac). These 108 padas are equally distributed into 12 Rashis or Zodiac signs so that each rashi consists of 9 padas.
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== योगः॥ Yoga ==
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The period of time during which the joint motion in longitude or the sum of the motions, of the sun and moon is increased by 13'''°'''20', is called Yoga, or "addition" in this aspect. The sum of the nirayana longitudes of the Sun and Moon divided into 27 equal divisions is called as Yogas. There are 27 yogas.
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{{columns-list|colwidth=15em|style=width: 600px; font-style: normal; color: blue|# Vishkhambha (विष्कम्भः)
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# Priti (प्रीतिः)
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# Ayushman (आयुष्मान्)
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# Saubhagya (सौभाग्यः)
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# Shobhana (शोभनः)
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# Atiganda (अतिगण्डः)
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# Sukarma (सुकर्मा)
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# Dhrti (धृतिः)
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# Shula (शूलः)
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# Ganda (गण्डः)
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# Vrddhi (वृद्धिः)
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# Dhruva (धृवः)
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# Vyaghata (व्याघातः)
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# Harshana (हर्षणः)
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# Vajra (वज्रः)
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# Siddhi (सिद्धिः)
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# Vyatipata (व्यतीपातः)
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# Vareeyan (वरीयान्)
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# Parigha (परिघः)
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# Shiva (शिवः)
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# Siddhi (सिद्धः)
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# Sadhya (साद्ध्यः)
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# Shubha (शुभः)
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# Shukla (शुक्लः)
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# Brahma (ब्रह्मा)
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# Indra (इन्द्रः)
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# Vaidhrti (वैधृतिः)}}
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 +
The sum of the nirayana longitudes of the sun and the moon is converted into minutes and then divided by 800 (when it exceeds 360°, subtract 360° from the sum, convert into minutes and then divide that figure by 800). The quotient represents the number of yogas completed and hence the current yoga running is obtained by adding 1 to the completed number of yogas.<ref name=":2" />
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== करणः ॥ Karana - Half a Tithi ==
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In each tithi (12°), the first half is one karana and the second half is the next karana, so each karana is situated at 6°, of the angular distance between the sun and moon. There are eleven karanas (करणः) of which four are Sthira or immovable and seven are Chara or movable. The names of the Karanas and their nature are as follows:{{columns-list|colwidth=20em|style=width: 600px; font-style: normal; color: blue|
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*Chara-Karanas (चरकरणाः) are repeating karanas starting from Shukla Paksha of Pratipat tithi
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# Bava (बवः)
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# Balava (बालवः)
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# Taitula (तैतिलः)
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# Kaulava (कौलवः)
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# Garaja (गरजः)
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# Vanik (वणिक्)
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# Bhadra (भद्रः)
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* Sthira-Karanas (स्थिरकरणाः) are constant as with the following names
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# Shakuni (शकुनिः) : 2nd half of Krshna Paksha Chaturdasi tithi
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# Chatuspat (चतुष्पात्) : 1st half of Amavasya tithi
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# Naga (नाग) : 2nd half of Amavasya tithi
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# Kimsthugna (किंस्तुघ्नम्) :  : 1st half of Pratipat tithi}}
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== Solar Calendar ==
 +
Among the time measurement systems followed in Bharatavarsha, Saura Mana is followed for many purposes such as determining Ayanas (Uttaraayana and Dakshinaayana), Sankrantis etc. The Saura Samvatsara or Solar (sidereal) Year is the time taken by the Sun to go round the ecliptic once with reference to the fixed stars. The Solar Year starts when the Sun enters Mesha rashi i.e., with the Mesha Sankramana of Sun. In the current period Mesha Sankranti in Gregorian calendar falls around April 14 (13 or 15). The solar year is divided into 12 solar months. The length of any particular saura masa is the duration of the stay of the Sun in a particular rashi (of 30° extent) of the rashi chakra.<ref name=":2" />
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 +
The saura masas are named after the rashis which the Sun occupies during these months, as Mesha, Vrshabha, Mithuna etc. However, in usage, the names of the solar months are the same as those of the lunar months, namely, Chaitra, Vaishaka etc. These names are prefixed with "saura" to denote the difference between solar and lunar calendar months. Thus solar year commences with Saura Vaishaka (April 14) and ends with Saura Chaitra. The lunar year commences with Chaitra masa (varying in March and April) and ends with Phalguna masa. The names of the solar months are ambiguous, followed differently in different regions of India, hence according to some scholars, naming solar months after the rashis occupied by the Sun will provide clarity.<ref name=":2" />
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== Role of Panchanga in Bharatiya Traditions ==
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Apart from using the [[Kalamana (कालमानम्)|Kalamana]] for determining macrocosmic time scales and astrological calculations, mostly Saura and Chandra Manas are used to determine the auspicious times for various rituals, yajnas, vratas and samskaras. Most notably the festivals followed in India are based on luni-solar (or lunar) calendar. Each of the festivals falls on a particular tithi or a specified paksha in a particular lunar month. Across many traditions, people follow both kinds of calendars and follow the rituals accordingly. A few prominent examples of Bharatiya festivals are as follows<ref name=":2" />
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{| class="wikitable"
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!Festival Name
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!Lunar Calendar (Amanta System)
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|-
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|Lunar New Year - Chandramana Yugadi
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|Chaitra Shukla Pratipat
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|-
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|Sri Rama Navami
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|Chaitra Shukla Navami
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|-
 +
|Raksha Bandhan
 +
|Sravana Purnima
 +
|-
 +
|Krishna Janmastami
 +
|Sravana Krshna Ashtami
 +
|-
 +
|Ganesha Chaturthi
 +
|Bhadrapada Shukla Chaturthi
 +
|-
 +
|Mahalaya Amavasya (Pitr Paksha)
 +
|Bhadrapada Amavasya
 +
|-
 +
|Dasara (Dassera or Dusshera) Ten days of Durga Puja, the tenth day called as Vijayadasami
 +
|Asvayuja Shukla Pratipat to Dashami
 +
|-
 +
|Naraka Chaturdasi and Deepavali (Diwali)
 +
|Asvayuja Krshna Chaturdashi and Amavasya
 +
|-
 +
|Kartika Purnima
 +
|Kartika Purnima
 +
|-
 +
|Ratha Saptami
 +
|Magha Shukla Saptami
 +
|-
 +
|Mahashivaratri
 +
|Magha Krshna Chaturdashi
 +
|-
 +
|Holi (Holika Dahana)
 +
|Phalguna Purnima
 +
|-
 +
!Festival Name
 +
!Solar Calendar
 +
|-
 +
|Solar New Year (Assam, Bengal, Odisha, Tamilnadu, Kerala) or Mesha Masa
 +
|Mesha Sankranti (April 14)
 +
|-
 +
|Makara Sankranti or Pongal, Magha Bhihu
 +
|Makara Sankranti (January 14)
 +
|-
 +
!Festival Name
 +
!Nakshatra
 +
|-
 +
|Sri Krshna Jayanti
 +
|Moon in Rohini Nakshatra in Saura Bhadrapada (August 17 - September 16)
 +
|-
 +
|Onam (kerala)
 +
|Moon in Sravana Nakshatra in Saura Bhadrapada (August 17 - September 16)
 +
|}
    
== References ==
 
== References ==
 
[[Category:Vedangas]]
 
[[Category:Vedangas]]
 
<references />
 
<references />
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