Sum of all GV's
Here we'd like to talk about an important class of verses and chapters. It is immediately apparent that the normal (see Glossary) verses and chps have very special properties. For instance, as shown in the Fig., we note that their sum is 118123. Apart from being divisible, this number is very unique by itself. As illustrated in the Fig. we notice that it is the concatenation of 118 and 123. These two are the number of verses of chps 23 and 11 respectively as shown by the top and bottom V-arrows. The first two digits and the last three digits of 118123 (the top portion of the Fig.) are 11 and 123. Additionally, its first three digits and the last two digits are 118 and 23 (the lower lines). We see how these four numbers are so intertwined as to represent the relationships between the two chps 23 and 11 with their respective verses and at the same time provide the link with GV's. We also notice that 118123 is the 19th permutaion of 111238 in ascending order.
Additionally, 118123 = 6217 × 19. Most often, the quotient itself is not just another number. In this particular case for example, 6217 is of rather interesting properties of its own. Let's consider this number to be formed by chaining 62 and 17. Now, 62 is the verses of chp 53. This is a special chp. For, it's the last chp of the first longest sequence of contiguous GC's. (Chp 54 is the first FC.) The number of GV's at the end of chp 53 is 1643 = 53 × 31, where 31 itself happens to be of ord 17! Also, chp 62 has 11 verses, which points back to 123 again. Since, 19 appears only in chp 74, we may establish a conection with 74 and its 56 verses as follows. There are eight chps whose verses are constrained between 56 and 74. The remaining ones outside this range happen to add up to 6217, while their verses add up to 5731. We notice how these two numbers are intricately related to each other through a mutual symmetry: The 57th ord is 86 which itself has 17 verses. The 17th ord is 31, and 31 has 34 verses, and 34th ord is 62!
The norms of all GV's add up to 2698. We notice that there's a similar mutual symmetry hidden in this number too. There's an analogous relationships between pairs of 2 with 98, and 26 with 8. In chp 2 there are 98 G1 verses, while in chp 8 there is a pair of 26 even and odd normal verses. Furthermore, 98 is the number of verses of chp 19 and that 19 and 26 have a mutual GV symmetry: There are 19 chps in G:26 and 26 chps in G:19! Moreover, 19 is an init-chp, which has 26 Saads. Also, 2698 = 19 × 142. The quotient 142 hints at another important property relating 1 and 42: the norms of the chps in G:1 add up to 42! There are 26 chps in G:1, so, it means there are 88 chps in F:1. And 26 is also the verses of chp 88.
At the end of chp 26 there are 1197 GV's. This is also the number of verses of the 14 init-chps from 19 to 42. We realize that 798 = 19 × 42 is the counts of the 5 initials in chp 19 and 1197 is also the ALR count in chp 14! It's noteworthy that 42 is the only other chp initialed with 5 letters. Additionally, it has 98 O's, which establishes a link back to 19.