HORIZON

19 and 53 ties
19 and 53 ties

Here, we have several chps that are intimately tied to each other via heir verses and ords (see Glossary). The first thing we notice from the diagram is the number of verses traversed from 19 to 53 shown by the top long arrow. As the number of verses from 19 to 53, 2596 relates nicely to both 19 and 53: Chp 53 happens to be of ord 25 and 96 has 19 verses and also is of ord 67! We also note that 2596 = 44 × 59 on the same arrow. The connection to chp 44 and its 59 verses (V-curved-arrow) seems surprising, since, on the outset these chps look unrelated. Furthermore, 44 itself is of ord 25 (I-curved arrow)! Since, both 44 and 53 are of ord 25, this may serve as a hint to more ties between them. And it happens to be the case that they share a mutual symmetry as shown by the \-curved-double-arrow: among all the verse-counts with repetitions, arranged in descending order, the 44th such verse is 53, and 53rd such verse is 44!!!

These 2596 verses can be written out as the sum of the un-init and init verses along the way. As shown in the Fig., there are 1134 and 1462 un-init and init verses respectively from 19 to 53. The first one relates to chp 19 and to GV's in chp 11. More specifically, the verses of the 10 OC's up to 19 add up to 1134. As for the GV's, the norm up to 11:34 is 1352. And 1352 is the 1134th composite! Additionally, 1352 is the total norm of all the even GV's. The corresponding odd counterpart therefore, is 2698 − 1352 = 1346. Both 1346 and 1352 share interesting properties of their own: 46 is of ord 27, which itself is of ord 13, and 52 is of ord 24, which itself is of ord 13! The accumulative norm 1134 occurs at a G2 verse with G2-sum of 21937 which is the 2459th prime! Here we see how chp 59 and its 24 verses is perfectly encoded through the un-init verses spanning from 19 to 53. Additionally, among the base verses, arranged in descending order, the 59th such verse is 24!

The init component 1462 just happens to be the sum of the verses of the 19 init-chps from 19 to 50! We also note that 1462 = 86 × 17, which points to 86 and its 17 verses and at the same time provides an additional link to the lower part of the Fig. where the connection with chp 86 is revealed again when we traverse the verses from 42 to 91. Here, we have several chps related to each other via their respective verses as shown with the lower arrows: 42 has 53 verses which itself has 62 verses and 91 is of ord 62. And chp 47 with its 38 verses is nicely related to chp 86 as shown with the curved arrows. Both 47 and 38 are of ord 20. The curved arrow from 19 to 62 highlights another important link to the init-chp 38 which happens to have 29 Saads (S-arrow). And we already know the relationship between 19 and 42 through their initials which is not shown, but discussed here.

From 19 to 53 the sum of the digits of the verses is 373 which is the 74th prime. At the same time up to chp 53, the verses of those chps whose verses are confined between 19 and 98 add up to 1974. We recall that chp 74 is the only place where number 19 is mentioned. Both 19 and 74 are EV's. The EV's between these two have a total of 1824 = 19 × 96 verses inclusively. Here, we see the reference back to 96 again. The same 19-based constraint verse-sum up to chp 59 is 2278. Here, we notice the reference to chp 22 and its 78 verses. We may write 2278 = 34 × 67 to emphasize connections with 19 and 53; 67 is the 19th prime and chp 67 is also the 19th CGV, and 34th ord is 62 which is the verses of 53. Furthermore, from 19 to 78 there are 3462 verses! The 62nd ord is 91, and from 34 to 91 there are 2452 verses, a pointer to the 24th ord 52;-) Additionally, from 22 to 78 the number of un-init verses add up to 1836 = 34 × 54, linking 34 to its 54 verses. The base verse 34 itself is in position 62 among the descending verse-counts with repetitions and in position 53 in the oposite order! The mirror symmetry between 19 and 91 may suggest a more direct link between the two. It just so happens that there are 37 OC's from 19 to 91. The sum of the verses of these chps is 1919! Furthermore, there are 19 OC's from 1 to 37 and their verses add up to 1937! ;-)