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Now, use 100-year multiples of 365 days to count backwards in both calendars: |
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| 1896 Aug 16 | 1 Far 1266 | 2,413,788 | 36,500 (100365) | | 1796 Sep 9 | 1 Far 1166 | 2,377,288 | 73,000 (200365) | | 1696 Oct 3 | 1 Far 1066 | 2,340,788 | 109,500 (300365) | | 1596 Oct 28 | 1 Far 966 | 2,304,288 | 146,000 (400365) | | 1496 Nov 12 | 1 Far 866 | 2,267,788 | 182,500 (500365) | | 1396 Dec 7 | 1 Far 766 | 2,231,288 | 219,000 (600365) | | 1297 Jan 1 | 1 Far 666 | 2,194,788 | 255,500 (700365) | | 1197 Jan 26 | 1 Far 566 | 2,158,288 | 292,000 (800365) |
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At this point, observe that the intercalations of 120 years were last carried out in A.D. 1131 in the Shenshai calendar but were neglected in the Kadmi calendar. Thus, the point of departure between the two calendars concerns the 30-day period immediately preceding this date in the Shenshai calendar, yielding |
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| 1131 Mar 14 | 1 Far 500 | 2,134,228 | 316,090 (866365) # |
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in the Shenshai calendar. This date includes the 30-day month of Aspandarmad II, which was intercalated at the end of 499 A.Y. in the Shenshai calendar. This month was not intercalated in the Kadmi calendar, so 1 Farvardin 500 A.Y. falls 30 days earlier in the Kadmi calendar. |
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The critical section of the two calendars is, therefore: |
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| Western | Shenshai | Kadmi | JD# | | 1131 Mar 14 | 1 Far 500 | 1 Ard 500 | 2,134,228 | | 1131 Mar 13 | 30 Asp II 499 | 30 Far 500 | 2,134,227 | | 1131 Feb 12 | 1 Asp II 499 | 1 Far 500 | 2,134,198 | | 1131 Feb 11 | 30 Asp 499 | 30 Asp 499 | 2,134,197 |
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Thus, the date of 30 Aspendarmad 499 A.Y. is the last date (counting forward) to fall on the same day in both calendars. At this point, the Kadmi and Shenshai calendars are synchronized, and the discussion of the Kadmi calendar repeats that of the Shenshai. |
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As above, use your knowledge of the 120-year intercalation to perform the backward count from 1 Farvardin 500 A.Y. in the Shenshai calendar, to obtain 1 Farvardin 380 A.Y. in both calendars. Note that if a whole 30-day month were intercalated every 120 years, then 120 years consist of 11936 + 365 + 30 = 43,830 days. |
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| Western Date | Kadmi | Julian Day | Difference | | 1011 Mar 14 | 1 Far 380 | 2,090,398 | 359,920 (# + 43,830) $ |
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