The complexity of the Indian calendar system is not just in the plethora of calendars available, but also in the manner in which they link up with one another. A principal point of linkage of most Indian calendars is in their names of the months; as we shall see, the similar sets of month names are used in more than one calendar. In this section, we aim to formulate rules determining the naming of the months. Our motivation is not just taxonomic; month names, we shall see, are critical to understanding the Indian calendar system.
We propose that there are two types of month names:
The set of month names named after nakshatras is used by both solar and lunisolar calendars, adding to seeming complexity of the Indian calendar system. Indeed, as we shall see, this type should actually called months initially named after nakshatras; there has been an infusion of solar rules into an essentially lunar convention.
Let us then, first consider the original rule. Saha and Lahiri mention that pakshas or fortnights were differentiated based on the nakshatra where the Moon is full [16]. That is to say, if a particular full Moon occurs near, say, the lunar asterism, Visakha, the full Moon would be called as Vaisakha Purnimasi, and the month would be Vaisakha. The earliest lunisolar months, then, were purnimanta, that is, the name of the full Moon corresponded to the name of the month. Of course, the full Moon occurs at all nakshatras. Fifteen were taken into account for naming of the month, spaced more or less equally.
We thus have the following set of names along with their respective nakshatras [17]:
| Nakshatra on purnima | Month name |
| Chitra | Chaitra |
| Visakha | Vaisakha |
| Jyestha | Jyaistha |
| (Purva & Uttara) Aashaadha | Aashaadha |
| Sravana | Sraavana |
| (Uttara & Purva) Bhaadrapada | Bhaadrapada |
| Asvini | Asvayuja (Aasvina) |
| Krittika | Kaarthika |
| Mrugasira | Maarghasira |
| Pushyami | Pausa (Pushyam) |
| Maghaa | Maagha |
| (Uttara and Purva) Phalguni | Phalguna |
It may be noted that the months of Aashaadha, Bhadrapada and Phalguna are linked to two nakshatras respectively. Chatterjee and Chakravarthy give the following criteria for choosing nakshatras for month names [18]:
It must be mentioned that this rule now no longer matehes the sky due to Earth's precession; for instance, this year's Chitra Purnimaasi had Swati as its nakshatra. Also, possibly for historical reasons, and allowing for regional variation in pronunciation, the Oriya, Bengali, Assamese, Punjabi and Tamil solar calendars also use the same set of month names. To reconcile all this, we might frame a new rule. The amanta lunar month takes its number from the solar month that starts in it, but its name from the solar month in which it starts, while following the purnimanta months in chronological order. That is to say, since Chitra occurred during the purnima of this year's first purnimanta month, we call this month as ‘Chaitra'. Consequently, the first amanta month would also be ‘Chaitra', which also would be the name of the solar month during which the amanta Chaitra started. However, the number of the solar month (1 in the case of amanta and purnimanta Chaitra) is not quite the same; the solar Chaitra is the last (i.e., 12th) month of the year. The lunisolar Chaitra's number is taken by the solar month that begins in it, namely the solar Vaisakha. All this can be seen in the picture below.
The relationships for all the months may be mapped according to the following table [19]. The Assamese, Punjabi and Tamil versions have been provided to give an idea of the linguistic variation.
| Rasi | Approximate nakshatra on purnima |
Lunar month name | Solar month name | Assamese version | Tamil version | Punjabi version [20] |
| Mesha | Chitra | Chaitra | Vaisakha | Bahag | Chittarai | Vaisakh |
| Vrshava | Visakha | Vaisakha | Jyaistha | Jeth | Vaikasi | Jeth |
| Mithuna | Jyestha | Jaishta | Aashaadha | Ahar | Aani | Harh |
| Karkata | (Purva & Uttara) Aashaadha | Aashaadha | Sraavana | Saon | Aadi | Sawan |
| Simha | Sravana | Sraavana | Bhaadrapada | Bhad | Aavani | Bhadon |
| Kanya | (Purva & Uttara) Bhaadrapada | Bhaadrapada | Asvayuja (Aasvina) | Ahin | Purattaasi | Asu |
| Tula | Asvini | Asvayuja (Aasvina) | Kaarthika | Kati | Arppisi | Katik |
| Vrischika | Krittika | Kaarthika | Maarghasira | Aghon | Karthigai | Maghar |
| Dhanus | Mrugasira | Maarghasira | Pausa (Pushyam) | Puha | Maargali | Poh |
| Makara | Pushyami | Pausa (Pushyam) | Maagha | Magh | Thaai | Magh |
| Kumbha | Maagha | Maagha | Phalguna | Phagun | Maasi | Phagun |
| Mina | (Uttara and Purva) Phalguni | Phalguna | Chaitra | Chait | Panguni | Chet |
Only solar months share their names with rasis. Chatterjee and Chakravarthy give the following names along with the associated rasis [21].
| Raasi | Sanskritised Version | Malayalam Version |
| Mesha | Mesha | Medam |
| Vrshava | Vrshava | Edavam |
| Mithuna | Mithuna | Midhunam |
| Karkata | Karkata | Karitaka |
| Simha | Simha | Chingam |
| Kanya | Kanya | Kanni |
| Tula | Tula | Thulam |
| Vrischika | Vrischika | Vrischikam |
| Dhanus | Dhanus | Dhanu |
| Makara | Makara | Makaram |
| Kumbha | Kumbha | Kumbham |
| Mina | Mina | Minam |
That is to say, the month shares its name with that of its corresponding samkranti. For instance, if Mesha samkranti occurs on a certain day, then the period until the next samkranti would be Mesha masa (Medham masa).
This naming rule is followed primarily in the Malayalam calendar. Abhayankar says that the Oriya calendar also follows this rule [22].
We provide a list of Indian festivals, along with their (Indian) dates and the calendar used to reckon the particular festival. The list of festivals is by no means exhaustive; the entries are mostly public holidays in India.
| Festival [23] | Indian date | Additional rules | Calendar |
| Makara samkranti, Pongal | Makara samkranti | None | Solar |
| Maha Siva Raatri | Magha K 14 | Must cover a nisita | Lunisolar |
| Holi | Phalguna Purnima | Holika Dahana is observed on the night of the Purnima; Holi is observed on the solar day after Holika Dahana | Lunisolar |
| Ugadi, Gudi Padwa | Chaitra S 1 | None | Lunisolar |
| Rama Navami | Chaitra S 9 | Must cover Madyahna | |
| Tamil New Year, Vishu, Bengali New Year | Mesha samkranti | Respective samkranti rules | Solar |
| Ganesh Chaturti | Bhadrapada S 4 | Must cover Madyahna | Lunisolar |
| Buddha Purnima | Vaisakhi Purnima | Lunisolar | |
| Raksha Bandan | Sravana Purnima | Lunisolar | |
| Janmashtami | Sravana K 8 | Lunisolar | |
| Onam | Moon is in Sravana nakshatra in Solar Bhadrapada | Lunisolar and Solar | |
| Mahanavami | Asvayuja S 9 | Mahanavami is reckoned before the other 8 days of Dussehra [24] | Lunisolar |
| Vijayadasami | The tithi after Mahanavami | Must cover a Nisita | Lunisolar |
| Deepavali | Asvayuja Amavasya | Must cover pradosha | Lunisolar |
A bit of explanation is necessary. First, the terms. Nisita is defined to be a time-period measured by two ghatikas (1/60th of a solar day; approximately 20 minutes) stretching on either side of midnight. Pradosha is the time-period stretching for two muhurtas (1/15th of the time between sunrise and sunset; approximately 1 hour 36 minutes) after sunset. Madhyahna is one-third of the time-period between sunrise and sunset. This fraction covers mid-day.
Second, these dates are valid only on non-intercalary tithis for all lunisolar festivals. Both leap days and non-leap days in leap months are deemed unfit for festivals. (Kshaya masas are not an issue here because jugma months are deemed fit for religious observance and in the eastern and northwestern schools, the extra intercalary month is deemed to be normal.)
And finally, if the given tithi doesn't cover the given time, or covers the given time on two solar days, then the second solar day is reckoned to be the festival.
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