TRANSPOSITION

Complementary view of 29, and 84
Complementary view of 29 and 84

There are many chps that are apparently unrelated on the outset, but, may in fact have subtle links between them. One such pairs of chps is 29 and 84. As shown in the diagram, the number of verses from 29 to 84 is 2569, (the long arrow). We immediately recognize 25 and 69 as the number of verses of 84 and 29 (the curved arrows) respectively!!! It's very interesting that the total number of verses between two far away chps is linked to the individual verses of the two. Additionally, 29 and 84 are connected via the lower arrows through intermediate nodes. As a side note, 2 × 9 = 18, 8 × 4 = 32, and 18th ord (see Glossary) is 32! The norms of the GV's from 29 to 84 add up to 819, where 19 is the 8th prime. The mirror of 819 is 918, where one recognizes that 18 is of ord 9.

Additional connection from 29 to 84 involves the initialed chps. Chp 29 is of ord 15 and is initialed with ALM with a count of 1672. Chp 15 is initialed with ALR with total count 912. We get the following sum: 1672 + 912 = 2584, pointing to 84 and its 25 verses! Furthermore, 29th ord is 68 and from 15 to 68 the counts of initials add up to 10475. We notice that 104 is of ord 75! Chp 15 has 99 verses with sum and difference 114 and 84 respectively. We may write 99 = 31 + 32 + 36, the sum of the three consecutive init-chps. Their init-counts give rise to ALM counts of chp 29: 817 + 570 + 285 = 1672. There is still another way to establish a tie-in between 29 and 84 as follows: 29 is the number of Saad's in chp 38, and 38 × 68 = 2584! At the same time 2584 = 76 × 34, an indirect reference to 76: chp 76 has 31 verses and 31 has 34 verses.

Both 29 and 84 are OV's. The number of verses of OV's between these two chps is 1049 which can be thought of as an indirect pointer to 104 and its 9 verses. But, it has a more important connection with chp 10 as follows. The number of verses of the remaining EV's are then 2569 − 1049 = 1520 = 19 × 80. Both 1049 and 80 share a mutual connection with chp 10 via GV's. In chp 10 there are 49 GV's and 60 FV's for a total of 109 verses. A link is established between 49 and 60 by the fact that 49 has 18 verses and 18th ord is 32, and 32nd ord is 60.

The sum of the GV's from 1:1 to 10:60 is 80109. It's rather amazing that, this is also the sum of the gematrical values of the ALR initials in chp 10! Furthermore, 109 is the verses of chp 10 and chp 109 is of ord 80!!! Chp 80 is 51st ord, which itself has 60 verses, and 60 is the number of FV's in chp 10. We can write 80109 = 81 × 989. We already know 81 has 29 verses. What makes this product interesting, is that 989 is 822nd composite number and 822 is the sum of the 29 init-chps, and 29 is 10th prime number, and 29th prime is 109;-) On top of that, from 109 to 114 there are 29 verses!!! The accumulative norm up to 10:60 is 1311 = 19 × 69, pointing to chp 29 again. It's noteworthy that there are 81 chps that have less than or equal to 69 verses!