Page:Sewell Dikshit The Indian Calendar (1896) proc.djvu/26
movement", including the movement of the ayana points), i.e., a saṅkrânti calculated according to tropical longitude—longitude measured from the vernal equinox, the precession being taken into account. According to the present Sûrya-Siddhânta the sidereal coincided with the tropical signs in K. Y. 3600 expired, Śaka 421 expired, and the annual precession is 54″. By almost all other authorities the coincidence took place in K. Y. 3623 expired, Śaka 444 expired, and the annual precession is (1′) one minute. (The Siddhânta Śiromaṇi, however, fixes this coincidence as in K. Y. 3628). Taking either year as a base, the difference in years between it and the given year, multiplied by the total amount of annual precession, will shew the longitudinal distance by which, in the given year, the first point of the tropical (sâyana) sign precedes the first point of the sidereal (nirayana) sign. Professor Jacobi (Epig. Ind., Vol. 1, p. 422, Art. 39) points out that a calculation should be made "whenever a date coupled with a saṅkrânti does not come out correct in all particulars. For it is possible that a sâyana saṅkrânti may be intended, since these saṅkrântis too are suspicious moments."
We have, however, reason to believe that sâyana saṅkrântis have not been in practical use for the last 1600 years or more. Dates may be tested according to the rule given in Art. 160(a).
It will be seen from cols. 8 to 13 of Table II., Part ii., that there are two distinct sets of names given to the solar months. One set is the set of zodiac-month-names ("Mesha" etc.), the other has the names of the lunar months. The zodiac-sign-names of months evidently belong to a later date than the others, since it is known that the names of the zodiacal signs themselves came into use in India later than the lunar names, "Chaitra" and the rest.[1] Before sign-names came into use the solar months must have been named after the names of the lunar months, and we find that they are so named in Bengal and in the Tamil country at the present day.[2]
24. Length of months. It has been already pointed out that, owing to the fact that the apparent motion of the sun and moon is not always the same, the lengths of the lunar and solar months vary. We give here the lengths of the solar months according to the Sûrya and Ârya-Siddhântas.
| Serial No. | Name of the month. | Duration of each month. | |||||||||||||||
| Sign-name. | Tamil name. | Bengâli name. | By the Ârya-Siddhânta. | By the Sûrya-Siddhânta. | |||||||||||||
| days | gh. | pa. | days | hrs. | mn. | sec. | days | gh. | pa. | days | hrs. | mn. | sec. | ||||
| 1 | Mesha | Śittirai (Chittirai) | Vaiśâkha | 30 | 55 | 30 | 30 | 22 | 12 | 0 | 30 | 56 | 7 | 30 | 22 | 26 | 48 |
| 2 | Vṛishabha | Vaigâśi, or Vaiyâśi | Jyeshṭha | 31 | 24 | 4 | 31 | 9 | 37 | 36 | 31 | 25 | 13 | 31 | 10 | 5 | 12 |
| 3 | Mithuna | Âni | Âshâḍha | 31 | 36 | 26 | 31 | 14 | 34 | 24 | 31 | 38 | 41 | 31 | 15 | 28 | 24 |
| 4 | Karka | Âḍi | Srâvaṇa | 31 | 28 | 4 | 31 | 11 | 13 | 36 | 31 | 28 | 31 | 31 | 11 | 24 | 24 |
| 5 | Siṁha | Âvaṇi | Bhâdrapada | 31 | 2 | 5 | 31 | 0 | 50 | 0 | 31 | 1 | 7 | 31 | 0 | 26 | 48 |
| 6 | Kanyâ | Puraṭṭâdi, or Puraṭṭâśi | Âśvina | 30 | 27 | 24 | 30 | 10 | 57 | 36 | 30 | 26 | 29 | 30 | 10 | 35 | 36 |
| 7 | Tulâ | Aippaśi, or Arppiśi, or Appiśi | Kârttika | 29 | 54 | 12 | 29 | 21 | 40 | 48 | 29 | 53 | 36 | 29 | 21 | 26 | 24 |
| 8 | Vṛiśchika | Kârttigai | Mârgaśîrsha | 29 | 30 | 31 | 29 | 12 | 12 | 24 | 29 | 29 | 25 | 29 | 11 | 46 | 0 |
| 9 | Dhanus | Mârgaḷi | Pausha | 29 | 21 | 2 | 29 | 8 | 24 | 48 | 29 | 19 | 4 | 29 | 7 | 37 | 36 |
| 10 | Makara | Tai | Mâgha | 29 | 27 | 24 | 29 | 10 | 57 | 36 | 29 | 26 | 53 | 29 | 10 | 45 | 12 |
| 11 | Kumbha | Mâśi | Phâlguna | 29 | 48 | 30 | 29 | 19 | 24 | 0 | 29 | 49 | 13 | 29 | 19 | 41 | 12 |
| 12 | Mîna | Paṅguni | Chaitra | 30 | 20 | 19¼ | 30 | 8 | 7 | 42 | 30 | 21 | 12.52 | 30 | 8 | 29 | 0.56 |
| 365 | 15 | 31¼ | 365 | 6 | 12 | 30 | 365 | 15 | 31.52 | 365 | 6 | 12 | 36.56 | ||||
- ↑ My present opinion is that the zodiacal-sign-names, Mesha, etc., began to be used in India between 700 B. C. and 300 B. C., not earlier than the former or later than the latter. [S. B. D.]
- ↑ It will be seen that the Bengal names differ from the Tamil ones. The same solar month Mesha, the first of the year, is