Symmetric view of 8 and 74
Chps 8 and 74 share several interesting properties. First, we notice that the sum of the digits of the verses from 1 to 8 is 74:
(7) + (2 + 8 + 6) + ... + (2 + 6) + (7 + 5) = 74.
Also, we recall that 19 is the 8th prime number and the only place that it's mentioned is in chp 74 as an abstract number. It is to serve as a glue, connecting other components in a seamless and coherent way.
As illustrated in the above diagram there are several paths between 8 and 74. The top portion of the figure shows a path connecting several successive intervening chps (nodes) via their verses (V-path). The sum of these nodes is:
74 + 56 + 96 + 19 + 98 + 8 = 351 = 13 × 27.
We recognize that 27 is of ord 13 (see Glossary). Furthermore, 13 has 43 verses and 43 has 89 verses (Small curly V-arrow). And from 8 to 74 there are 4389 verses as indicated by the long arrow. Chp 43 is of ord 24 and 89 is the 24th prime number, also 4 + 3 + 8 + 9 = 24, and chp 24 is of ord 13.
From 43 to 89 there are 24 OC's. The sum of the verses of these chps is 874!!! Both 874 and 4389 are divisible by 19; 874 = 19 × 46, where 46 itself is of ord 27. Additionally, 874 + 4389 = 5263 = 19 × 277, and this happens to be the number of verses from 2:1 to 68:1, the first and last initial-sets respectively, (Appendix one). We note that 874 is the smallest integer with digit-sum, 19. Also, as an interesting sidenote, from 74:1 to 114:6 there are 741 verses! Speeking of init-chps, it's noteworthy that the init counts from 13 to 19 add up to the same sum:
1482 + 1197 + 912 + 798 = 4389.
From the figure we see there are two more paths from 8 to 74 via the init and un-init intermediate nodes (UUVU and IIIVU paths respectively.) We may further break down 4389 as the sum of two numbers as follows: 4389 = 2051(I) + 2338(U), corresponding to init and un-init verses from 8 to 74 respectively. These two numbers happen to be the norms at the end of chps 33 and 47 respectively. With 47 having 38 verses, we may be able to put down a simple relationship between 43, 47, 9, and their corresponding verses:
4389 + 4738 = 9127.
In light of the above relationships among these various chps and their verses we may realize the intricate interdependencies that govern the literal and mathematical composition of the text.