INTRODUCTION. 



commencement of a 13-katun period— of which I have not a particle of doubt— the era 

 must extend backward until by stages of 949 katuns (the number in a grand round) 

 the beginning of a great cycle is reached. A simple table will most clearly show the 

 result. 



Beginnings of the Katun Bounds in a Geand Era. 



No. of 

 Bounds. 



1. 

 2. 

 3. 



4- 



5. 



G. 



7. 



S. 



9. 

 10. 

 11. 

 12. 

 13. 

 lit. 

 IS. 

 16. 

 17. 

 IS. 

 10. 

 SO. 



Katuns. 



949 



1,893 



2,817 



3,796 



4,745 



5,694 



6,643 



7,592 



8,541 



9,490 



10,439 



11,388 



12,337 



13,286 



14,235 



15,184 



16,133 



17,082 



18,031 



18,980 



Great 

 Cycles. 



3 



7 



10 

 14 

 18 

 21 

 25 

 29 

 32 

 36 

 40 

 43 

 47 

 51 

 54 

 58 

 62 

 65 

 69 

 73 



Cycles. 



Katuns. 



3 18 



12 7 



7 16 



3 5 



11 14 



7 3 



2 12 



11 1 



6 10 



1 19 



10 8 



5 17 



1 6 



9 15 



5 4 



13 



9 2 



4 11 







The table is made to cover the entire grand era, in order to show that at no point 

 but the start does the beginning of a katun round correspond with that of a great 

 cycle, and that in the 54th great cycle only does the round begin with the 15th katun 

 of the 9th cycle. This showing is conclusive to my mind as fixing the position of the 

 date in question. That position accords with a pre-existing requirement of the 

 calendar; it fulfils a conjuncture of cycle and katun dates against odds of thirteen to 

 one ; it explains why the occasion was regarded as of such great importance ; and it 



