Symmetric view of 19 and 74
The QCD (see Glossary) is centered around the prime number 19 as it is described in chp 74 and explicitly mentioned in 74:30. Its functions are more elaborated in 74:31. Further, it is to serve as a guard against tampering and modifications of the literal composition of the text. Beyond that it provides a binding glue and a common foundation for seemingly unrelated and disparate components. The sophisticated mathematical constraints and the intricate interrelationships that govern every aspect of the literal composition, all coexist in a perfect balance. Here, we try to explore some of these interdependencies that exist among a subset of chps and their verses and ords, etc.
Since, 19 appears only in chp 74, and even then, as an abstract number only, we may expect a close tie between the two. This seems to be the case as we look over the chps from 19 to 74 with even/odd parity in mind, we notice 33 EV's, whose verses add up to 1824, a multiple of 19, as illustrated by the top arrow. The quotient 96 itself relates back to both 19 and 74 as shown with several dotted U- and V-arrows. It has 19 verses and at the same time is the number of verses of chp 56, which itself is the verses of chp 74. We also note that 96 is of ord 67, which itself is of ord 39, which in turn is of ord 19. And 96 is the number of FV's in chp 18. The components of 1824, namely, 18 and 24 are themselves related via an intermediate chp. The lower part of the Fig. demonstrates an interesting symmetry between 19 and 74 through 96 as we look over the normal sets ranging from G:19 to G:96 - the sets of all GV's corresponding to verses 19 and 96 respectively - we notice that the total norm in all such sets from G:19 to G:96 is 1406 = 19 × 74!
The said 33 EV's themselves add up to 1628 and the sum of the chps and their verses is 3452. Lets look at these two numbers as pairs of (16, 28) and (34, 52) respectively. The 16th ord is 34 and 28th ord is 56 which we saw in relation to 74 and 96 above. Chp 52 is of ord 24 and also has 49 verses, which itself has 18 verses bringing us back to 1824. Furthermore, the normal set G:33 itself consists of only 19 elements with norm 27 and G:27 consists of 18 elements with norm 24! More details on the relationship with 27 are given below.
Several chps form intricate links with those covered above. In particular, chps 29 and 33 with their verses 69 and 73 respectively show strong correlations. On the outset one observes that 73 is the 69th GC and that 69 itself is the19th chp in G:33. 19 is also the number of FV's in chp 73. Likewise, 33 itself is the last chp in G:73 with sum total 135. This is the number of verses of chp 20, which again is the verses of 73. 51 is the number of GV's in chp 33 and 2051 is the norm at 33:73! Now, the 2051st composite is 2409 and 2409 = 33 × 73!!! Moreover, the number of GV's at 73:20 is 1794, coinciding with total norm 2669 and 26 × 69 = 1794! The aforementioned 3452 also relates to 29 in a neat way as it so happens to be the 2969th composite! Incidentally, the 69th ord is 98 - the verses of chp 19 - and that 98 itself is the 74th chp whose verses are composite! We also observe that the number of GV's between 29 and 73 is 551 = 19 × 29. And since, the number of GV's at 29:69 is 1273 = 19 × 67 - the 19th prime -, we get the sum 551 + 1273 = 1824 again!
Since, both 29 and 33 are of ord 15, we may infer more ties between the two. The norm at 18:24 is 1591 expressing the 15 verses of chp 91. But, more importantly, 1591 = 37 × 43, where, we immediately recognize that 37 and 43 are of ords 18 and 24 respectively!!! There's also a kind of symmetry between 37 and 43 in relation to 91 in that from 37 to 91 there are 43 GC's and from 43 to 91 there are 37 GC's! The number of un-init chps from 37 to 91 is 45, and 45 has 37 verses. The 1591st composite is 1881 = 19 × 99, where, we see the reference to 99 verses of chp 15. The norm at chp 91 is 2688, affirming indirectly, the 26 verses of chp 88. Also, the 26th EE is 98 (another reference to 19) and the 26th ord is 45 and 45th ord is 74 providing another link between 74 and 19. Since, 45 has 37 verses, and at the same time it's the verses of chp 35, that may serve as an indirect pointer from the pair 37 and 35 back to 74: the GV count at 37:35 is 1406!
The relationship with 27 was briefly touched earlier. A simple observation relates 27 and 74 to 19; 27 × 74 = 1998. And of course, 1998th composite is 2346, the toal number of verses from 1 to 19! Additional correspondence with chp 27 comes from verse 59. The norm at 27:59 is 1824. The occurrence of 59 is not unexpected, since, 59 has 24 verses. There are 33 GC's from 24 to 59 with their corresponding norms and GV's adding up to 1387 = 19 × 73! Also, from 74 to 114 there are 20 EV's which add up to 1827, providing a link between 18 and 27. The norm 1827 occurs in chp 27 at 18th GV in verse 62, an indirect reference to 1862 = 19 × 98. Now, 88 is of ord 59, which itself is of ord 31. if we take into account that 31 is the number of verses of 76, we get the following relation: 76 × 31 = 2356 and 2356th composite is 2759! Plus the fact that 88 is the verses of 28 and the norm at 28:88 is 1862. Chps 15, 19, 26, and 28 are all init-chps. Chp 28 has 19 init-letters "T", 19 has 26 "Saads"s, and 26 has 33 "T"s. Furthermore, chp 33 is of ord 15 and chp 15 has 96 init-letter "R"s, thus, bringing the sequence to completion and at the same time highlighting the convoluted and deep interplay that exists among this group of chps.