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No. 14.]
THE FIRST ARYA-SIDDHANTA : "TRUE" SYSTEM.
101
months were adhered to (Ind. Calendar, $ 28). These remarks apply, of course, to all Tables or ephemeres yet, or to be, published, which can only confine themselves to the actual requirements of the Siddhänta concerned. Such matters are problems of the future, only to be solved after protracted enquiry and investigation. Dewan Bahadur L. D. Swamikannu Pillai gives it as his opinion (Indian Chronology, p. 70, $ 169) that, while the Arya-Siddhanta was used for solar computation, the authors of South Indian pañchångs in some cases carried out their lunar calculations, for the tithi, nakshatra, etc., by Sürya-Siddhānta rule. This remains to be proved.
287. It is easy to understand how dates of documents, the details of which dates depend on the position of sun and moon, must often differ when calculated by different authorities. Taking only the Arya and Surya Siddhantas into consideration, it will be seen by Table A below that in 114 years out of the 850 with which the main Table LXI is concerned there were radical differences. In 66 of these years the samvatsara cycle-name of the whole year was different ; in 33 years the intercalation and suppression of lunar months were different; and the day on which the luni-solar year began was different in 15 years.
Consider the year A.D. 1418-19, for instance, or Saka 1340 expired. This year was, according to the northern system of nomenclature, called" Visvävasu" by the followers of the Arya, but "Krodhin" by those of the Sürya-Siddhānta. In the same year there was, by the AryaSiddhānta, a suppression of the lunar month Magha and an intercalation of Phälguna, while by the Sürya-Siddhānta there was none such; so that a date correctly expressed in Arya-Siddhānta reckoning in that year would seem entirely inaccurate when tested by Surya-Siddhānta Tables.
ARRANGEMENTS OF THE TABLES.
288. The principal working-Tables for computation of dates expressed in First Arya-Sid. dhänta reckoning are Tables LXI to LXXI below. Tables LXI to LXX are disposed so as to correspond in rotation with Tables I to X of the "Indian Calendar," and have been framed in similar manner. This arrangement is adopted for the convenience of those who, during the last twenty years, have become accustomed to the processes of that publication.
Table LXI corresponds to Table I, “Indian Calendar."! , LXII
, II, Part II, "Indian Calendar." , LXIII A
III, Part I, , LXIII B , , , Part II, [This Table is framed in a similar manner to Table XVIII A, "Indian Chronography," which it is intended to supersede.]
Table LXIV corresponds to Table IV, “Indian Calendar." » LXV
V,
» 1 LXVI ,
VI, „ » » LXVII ,
VII, 2 [Tables LXVI A, LXVII A give closer details than do Tables LXVI, LXVII, and are to be used for very accurate calculation in doubtful cases.]
Table LXVIII corresponds to Table VIII, “ Indian Calendar " » LXIX →
X , LXX
→ → X, » »
Because of this intentional correspondence the years of Indian eras quoted in cols. 1 to 4 are concurrent years, as in the "Indian Calendar."