Page:The Burmese & Arakanese calendars (IA burmesearakanese00irwiiala).pdf/34

months of Tagu, Kason, Nayon and First Wazo, and one month for each watat year expired during the cycle, thus:—

In the first watat year of each cycle add		4
In the„ second	at yea„ r of each„ cycle add„	5
In the„ third	at yea„ r of each„ cycle add„	6
In the„ fourth	at yea„ r of each„ cycle add„	7
In the„ fifth	at yea„ r of each„ cycle add„	8
In the„ sixth	at yea„ r of each„ cycle add„	9
In the„ seventh	at yea„ r of each„ cycle add„	10

Multiply the total months by 30 and add 14 didi of Second Wazo. Add this total to the total didi of the completed cycles. The result is the total didi of the whole period from the beginning of the era to the midnight preceding the Labyi of Second Wazo of the given year.

72. To reduce these didi to days, Kaya is the quotient of ${\frac {11D+650}{703}}$ and the remainder is the awaman.

$H=D-Ka.$

Divide H by 7. The remainder indicates the day of the week on which the Labyi of Second Wazo falls.

73. The intercalary day is determined by the changes in the awaman from watat year to watat year. These changes can easily be found without calculating the haragon in full for each watat year. In the arithmetical operation expressed by ${\frac {11D+650}{703}}$ it is obvious that the change in the remainder depends solely on the increment of total didi. When the interval from watat to watat is two years, the increase of total didi is 25 × 30 = 750. Multiply this by 11 and divide by 703; the remainder is 517. Therefore in every case of two years' interval the awaman is found by simply adding 517 to the last preceding awaman and then subtracting 703 if the total is 703 or greater. In like manner in every case of three years' interval the awaman is found by adding 259 and subtracting 703 if the total is 703 or greater.

74. A still easier method of calculating the awaman for a long period is this: the awaman for any watat year is obtained from the awaman for the corresponding year in the last preceding cycle by adding 220, or subtracting 483 if the preceding one is 483 or greater.

75. The kaya found from the equation in paragraph 72 is subtracted from didi. Hence, when the addition of 517 or 259 does not raise the awaman to 703, the increase of the haragon is greater by 1 than when the awaman becomes 703 or more, and has to be reduced by subtracting 703. A little calculation will show that the increase of the haragon in 25 months is 738 when 703 is subtracted and 739 when 703 is not subtracted. The corresponding figures for 37 months are 1092 and 1093.