Inits and un-inits
There is a special subset of chapters that has very unique properties. Specifically, 29 chps are initialled with 14 sets of various lengths containing a total of 14 distinct letters, (Appendix 1). In 15:87 we are informed about the Seven Pairs and the great Quran. We know that the letter "Q" refers to the Quran itself, and also it is one of the init letters that appears 57 times in chp 42 and 57 times in chp 50 for a total of 114, which is exactly the number of all the chps. The sum of the 29 init chps is 822. The 822nd prime is 6317. Immediately, we see the following relationship: 6317 + 29 = 6346, which is the total number of all the verses;-) We notice that the components of these numbers are intimately connected to each other: chp 63 is of ord (see Glossary) 35, which itself is of ord 17, and chp 46 has 35 verses! We see that 63 occurs several times here. This is not accidental as we notice that chp 63 has 11 verses, and that 63 × 11 = 693, and this is the sum of the 14 init letters! A more direct link between the Seven Pairs in 15:87 and the 29 init-chps can be obtained as follows: The 1587th normal verse is 47:30, and 1587 + 4730 = 6317!!! So, both, the number of chps and the total number of verses are confirmed by the Quranic initials.
The total number of verses of the 29 init-chps is 2743. We recognize that 27 is of ord 13, which itself has 43 verses. Hence, the number of verses of the remaining 85 un-init chps is 6234 − 2743 = 3491. Here, we observe a similar symmetry: 34th ord is 62 (lower U-arrow), and 62nd ord is 91. The number of init and un-init verses are indirectly coded in the Fig. The right vertical arrow shows there are 488 verses from 51 to 60, as we recall 60 is the verses of chp 51 and 488th prime is 3491. We also note that 51 × 60 = 3060, which points to the fact that 30 has 60 verses! Both 30 and 51 are the only chps with 60 verses each. The left lower arrow links 34 with 86 as there are 2342 verses between them. This is an indirect link to the number of init verses, since, 2743 is the 2342nd composite number! So, both are encoded in the above diagram. And last but not least, 23rd ord is 42;-)
The top arrow links 17 to 60 through 3134 verses between them. The 17th ord is 31, which itself has 34 verses. The link emphasizes the relationship with chp 29 through the intermediate init and un-init chps between 17 and 60. As such, we may partition 3134 as the sum of 1672 un-init and 1462 init verses. Now, 1672, of course, is the counts of ALM in chp 29, (more on that below) and 1462 = 86 × 17, establishing a connection with the left double-arrow pointing to 86 and its 17 verses. It seems an intricate interplay between these chps and their verses and their connections with 29 init-chps.
Chp 29 has 69 verses with 1672 = 19 × 88 counts of initials. Chp 38 has 88 verses and is initialed with 29 Saads, and 19 has 98 verses which itself is of ord 69. From 19 to 98 there are 3888 verses! The diagonal curved arrow from 60 to 86 traverses 798 verses which is also the count of initials in chp 19. Furthermore, from 29 to 38 there are 4627 counts of initials. And 46 happens to be the 27th ord. As mentioned above, the 29 init-chps are initialed with 14 sets consisting of 14 distinct letters. Chp 14 has 52 verses, and 52 is of ord 24. The 14th ord is 28 which has 88 verses. We notice that 28 × 88 = 2464, a relationship between 24 and its 64 verses! Also, 24 + 64 = 88. In chp 52 there are only two GV's, 27 and 43, an indirect reference to the number of init verses. From 24 to 64 there are 24 un-init chps with sum 1176, which is also the total number of G1's. Likewise, the verses of these chps add up to 1197 = 19 × 63, which happens to be the ALR counts of chp 14. As a side note, chp 88 has 26 verses and the number of GV's at the end of chp 26 is also 1197!
From 51 to 86 (the middle horizontal arrow) there are 1273 verses. This is the total norm at the end of chp 9 and also the number of GV's at the end of chp 29. At the same time, this provides a link to the five ALR initialed chps. There are 5073 = 19 × 267 A's in those chps. We recognize the indirect connection with the 14 declerations. As we recall, there are 30 declerations, and 14 of them are distinct. The gematrical values of these 14 sets add up to 1709, which happens to be the 267th prime. Now, we can observe a relationship between the total number of verses and these two: 1273 + 5073 = 6346. The link from 51 to 62 covers 513 = 19 × 27 verses. We note that 1273 + 513 = 1786 = 47 × 38, relating to 86 and its 17 verses and simultaneously, to 47 and its 38 verses.
The lower diagonal curved arrow from 34 to 51 spans 1129 verses. This establishes yet another link to the 14 declarations, since, the norm at the 1129th GV is 1709! Now, if we chain 34 and 51 we get 3451, which seems to bring about an interesting tie-in: 3451 + 1709 = 5160 = 60 × 86! This reemphasizes the 60 verses of chp 51 and provides an additional link to the upper curved arrow between 60 and 86.;-) Another noteworthy item is that 3451 is the 2968th composite! The 29th ord is 68, and it's the last init-chp.
The fact that there are 29 init-chps and 29 free chps may hint at a deeper and more intricate correlation between them as we see below. The vertical arrow from 17 to 86 spans 3919 verses. This signifies the fact that 39 is the 19th ord. Furthermore, 39 = 68 − 29 and 29 = 10 + 19, where, 19 itself is the 10th ord. We also note from the diagram that 3919 may be written as the sum of 3431 and 488, again establishing a link with 31 and its 34 verses, and to the un-init chps.
The numbers of GV's and FV's in chp 29 are 30 and 39 respectively. The 29th GV is 29:68 and 30 is the total number of the declerations. With 39 having 75 verses, we may write down the following relationship: 19 × 39 + 29 × 68 = 2713. Here, we see the sum pointing to 27 as the 13th ord. The GV's and their norms in chp 29 have the following vector dot product: Gvec • Nvec = 1425 = 19 × 75. The 14th ord is 25 and 75 is of ord 46, which itself is the 27th ord.
Chp 69 is of ord 40, which itself is also the verses of chp 75 as we encountered in the above product. From 40 to 69 there are 1242 = 27 × 46 verses. Also, the total norm up to 27:46 is 1820, which is the total number of normal verses. The number of free verses is therefore, 6234 − 1820 = 4414. We notice that the 14th ord is 25 and the 25th ord is 44. Additionally, 69 − 40 = 29, 69 + 40 = 109, and 109 is the 29th prime.