Meanwhile, just after A.D. 900, another development occurred, and there was started a third variety, which is now known as the southern lunisolar variety. The precise year in which this happened depends on the particular authority that we follow. If we take the elements adopted in the Sūrya-Siddhānta as the proper data for that time and for the locality—Western India below the Narbadā—to which the early history of the cycle belongs, the position was as follows. At the Mēsha-saṁkrānti in A.D. 908 there was current, by the mean-sign system, the saṁvatsara No. 2, Vibhava: but No. 4, Pramōda, was current by the same system at the Mēsha-saṁkrānti in A.D. 909; and No. 3, Śukla, began and ended between the two Mēsha-saṁkrāntis. Accordingly, No. 2, Vibhava, was the lunisolar saṁvatsara for the Mēshādi solar year and the Chaitrādi lunar year commencing in A.D. 908; and by the strict lunisolar system, which was adhered to by some people and is now known as the northern lunisolar system, it was followed in A.D. 909 by No. 4, Pramōda, the name of the intermediate saṁvatsara, No. 3, Śukla, being passed over. On the other hand, whether through oversight, or whatever the reason may have been, by other people the name of No. 3, Śukla, was not passed over, but that saṁvatsara was taken as the lunisolar saṁvatsara for the Mēshādi solar year and the Chaitrādi lunar year beginning in A.D. 909, and No. 4, Pramōda, followed it in A.D. 910. On subsequent similar occasions, also, there was, in the same quarters, no passing over of the name of any saṁvatsara. And this practice established itself in Southern India, to the exclusion there of the mean-sign and the northern lunisolar varieties; the discrepancy between the last-mentioned variety and the variety thus set up continuing, of course, to increase by one saṁvatsara after every 85 or 86 years. In this variety, the southern lunisolar variety, all connexion between the saṁvatsaras and the movements of Jupiter has now been lost.
The present position of the 60-years cycle in its three varieties may be illustrated thus. In Northern India, by the mean-sign system the saṁvatsara No. 46, Paridhāvin, began, according to different authorities, in August, September or October, A.D. 1899. Consequently, by the northern or expunging lunisolar system, that same saṁvatsara, No. 46, Paridhāvin, coincided with the Mēshādi civil solar year beginning with or just after 12th April, and with the Chaitrādi lunar year beginning with 31st March, A.D. 1900. But by the southern or non-expunging lunisolar system those same solar and lunar years were No. 34, Śarvarin.
The treatment of the cycles of Jupiter in the Sanskrit books shows that it was primarily from the astrological point of view that they appealed to the Hindus; it was only as a secondary consideration that they acquired anything of a chronological nature. For the practical application of any of them to historical purposes, it is, of course, necessary that, along with the mention of a saṁvatsara, there should always be given the year of some known era, or some other specific guide to the exact period to which that saṁvatsara is to be referred. But it is fortunately the case that the saṁvatsaras have been but rarely cited in the inscriptional records without such a guide, of some kind or another.
The Saptarshi reckoning is used in Kashmīr, and in the Kāṇgra district and some of the Hill states on the south-east of Kashmir; some nine centuries ago it was also in use in the Punjab, and apparently in Sind. In addition to being cited by The Saptarshi reckoning. such expressions as Saptarshi-saṁvat, “the year (so-and-so) of the Saptarshis,” and Śāstra-saṁvatsara, “the year (so-and-so) of the scriptures,” it is found mentioned as Lōkakāla, “the time or era of the people,” and by other terms which mark it as a vulgar reckoning. And it appears that modern popular names for it are Pahāṛī-saṁvat and Kachchā-saṁvat, which we may render by “the Hill era” and “the crude era.” The years of this reckoning are lunar, Chaitrādi; and the months are pūrṇimānta (ending with the full-moon). As matters stand now, the reckoning has a theoretical initial point in 3077 B.C.; and the year 4976, more usually called simply 76, began in A.D. 1900; but there are some indications that the initial point was originally placed one year earlier.
The idea at the bottom of this reckoning is a belief that the Saptarshis, “the Seven Rishis or Saints,” Marīchi and others, were translated to heaven, and became the stars of the constellation Ursa Major, in 3076 B.C. (or 3077); and that these stars possess an independent movement of their own, which, referred to the ecliptic, carries them round at the rate of 100 years for each nakshatra or twenty-seventh division of the circle. Theoretically, therefore, the Saptarshi reckoning consists of cycles of 2700 years; and the numbering of the years should run from 1 to 2700, and then commence afresh. In practice, however, it has been treated quite differently. According to the general custom, which has distinctly prevailed in Kashmīr from the earliest use of the reckoning for chronological purposes, and is illustrated by Kalhaṇa in his history of Kashmīr, the Rājataraṁgiṇī, written in A.D. 1148-1150, the numeration of the years has been centennial; whenever a century has been completed, the numbering has not run on 101, 102, 103, &c., but has begun again with 1, 2, 3, &c. Almanacs, indeed, show both the figures of the century and the full figures of the entire reckoning, which is treated as running from 3076 B. C., not from 376 B.C. as the commencement of a new cycle, the second; thus, an almanac for the year beginning in A.D. 1793 describes that year as “the year 4869 according to the course of the Seven Ṛishis, and similarly the year 69.” And elsewhere sometimes the full. figures are found, sometimes the abbreviated ones; thus, while a manuscript written in A.D. 1648 is dated in “the year 24” (for 4724), another, written in A.D. 1224 is dated in “the year 4300.” But, as in the Rājataraṁgiṇī, so also in inscriptions, which range from A.D. 1204 onwards, only the abbreviated figures have hitherto been found. Essentially, therefore, the Saptarshi reckoning is a centennial reckoning, by suppressed or omitted hundreds, with its earlier centuries commencing in 3076, 2976 B.C., and so on, and its later centuries commencing in A.D. 25, 125, 225, &c.; on precisely the same lines with those according to which we may use, e.g. 98 to mean A.D. 1798, and 57 to mean A.D. 1857, and 9 to mean A.D. 1909. And the practical difficulties attending the use of such a system for chronological purposes are obvious; isolated dates recorded in such a fashion cannot be allocated without some explicit clue to the centuries to which they belong. Fortunately, however, as regards Kashmīr, we have the necessary guide in the facts that Kalhaṇa recorded his own date in the Śaka era as well as in this reckoning, and gave full historical details which enable us to determine unmistakably the equivalent of the first date in this reckoning cited by him, and to arrange with certainty the chronology presented by him from that time.
The belief underlying this reckoning according to the course of the Seven Ṛishis is traced back in India, as an astrological detail, to at least the 6th century A.D. But the reckoning was first adopted for chronological purposes in Kashmīr and at some time about A.D. 800; the first recorded date in it is one of “the year 89,” meaning 3889, = A.D. 813-814, given by Kalhaṇa. It was introduced into India between A.D. 925 and 1025.
The Grahaparivṛitti is a reckoning which is used in the southernmost parts of Madras, particularly in the Madura district. It consists of cycles of 90 Mēshādi solar years, and is said, in conformity with its name, which The Grahaparivṛitti cycle. means “the revolution of planets,” to be made up by the sum of the days in 1 revolution of the sun, 22 of Mercury, 5 of Venus, 15 of Mars, 11 of Jupiter, and 29 of Saturn. The first cycle is held to have commenced in 24 B.C., the second in A.D. 67, and so on; and, in accordance with that view, the year 34, which began in A.D. 1900, was the 34th year of the 22nd cycle.
No inscriptional use of this cycle has come to notice. There seems no substantial reason for believing that the reckoning was really started in 24 B.C. The alleged constitution of the cycle, which appears to be correct within about twelve days, and might possibly be made apparently exact, suggests an astrological origin. And, if a guess may be hazarded, we would conjecture that the reckoning is an offshoot of the southern lunisolar variety of the 60-years cycle of Jupiter, and had its real origin in some year in which a Prabhava samvatsara of that variety commenced, and to which the first year of a Grahaparivṛitti cycle can be referred: that was the case in A.D. 967 and at each subsequent 180th year.
In part of the Gañjām district, Madras, there is a reckoning, known as the Oṅko or Aṅka, i.e. literally “the number or numbers,” consisting of lunar years, each commencing with Bhādrapada śukla 12, which run theoretically The Oṅko cycle. in cycles of 59 years. But the reckoning has the peculiarity that, whether the explanation is to be found in a superstition about certain numbers or in some other reason, the year 6, and any year the number of which ends with 6 or 0 (except the year 10), is omitted from the numbering; so that, for instance, the year 7 follows next after the year 5. The origin of the reckoning is not known. But the use of it seems to be traceable in records of the Gaṅga kings who reigned in that part of the country and in Orissa in the 12th and following centuries. And the initial day, Bhādrapada śukla 12, which figures again in the Vilayāti and Amli reckoning of Orissa (see farther on), is perhaps to be accounted for on the view that this day was the day of the anointment, in the 7th century, of the first Gāṅga king, Rājasiṁha-Indravarman I.
In the Chittagong district, Bengal, there is a solar reckoning, known by the name Maghī, of which the year 1262 either began or ended in A.D. 1900; so that it has an initial point in A.D. 639 or 638. It appears that Chittagong was The Maghī reckoning. conquered by the king of Arakan in the 9th century, and remained usually in the possession of the Maghs—the Arakanese or a class of them—till A.D. 1666, when it was finally annexed to the Mogul empire. In these circumstances it is plain that the Magh reckoning took its name from the Maghs; its year, which is Mēshādi, from Bengal; and its numbering from the Sakkarāj, the ordinary era of Arakan and Burma, which has its initial point in A.D. 638.