27 and 30 parity tie-ins
The even-odd parity is one of the important constituents of the QCD (see Glossary) as emphasized in 89:3. It leaves large number of imprints in numerous places and provides a significant mechanism through which many crucial links are established among some notable chps such as 1, 9, and 27, and in particular, to the key verse 27:30.
The chps and their verses participate in an interdependent and intricate ties among themselves according to their parity. On the outset we notice that the set of chps can be divided into disjoint subsets as follows. The sets EO and EE have 27 and 30 members respectively as is also the case with the sets OO and OE with the same 27 and 30 elements. Here, it doesn't escape one's notice the deep and subtle hint at the key verse 27:30. This indirect hint is covered in more details further below. As we recall, this verse compensate for the missing tetron in chp 9. And in so doing, chp 27 along with chp 1 are the only ones where the tetron appears in numbered verses - in chp 1 as the opening verse and in chp 27 embedded in verse 30. The remaining 112 opening verses are all un-numbered. Chps 1 and 9 share the interesting property that neither one has an un-numbered verse. This mutual correspondence between pairs among chps 1, 9, and 27 may be taken as a hint for ties at a deeper level among the three chps.
The sets EE and OO combine to form the larger set EP with 57 members. Similarly, the pair EO and OE give rise to the set OP with the same number of elements, 57. The resulting larger sets EP and OP divide the chps into two disjoint subsets according to the relative parity of their chps and their corresponding verses. The two subsets share an intriguing and complementary symmetry between them as illustrated by the top two arrows. The sum of the chps in EP, (denoted by EPC under the first arrow), is equal to the number of the verses in OP, (denoted by OPV over the second arrow), both equal to 3303!!!
The number of verses in EP and the sum of the chps in OP are 2931 and 3252 respectively, as shown with their corresponding labels EPV (over the top arrow) and OPC (below the second arrow). Again, here, we observe the depth and intricacy of the entanglement involved between these two numbers and in relation to chp 27 and its 93 verses (third arrow, label V). The number of verses from 27 to 93 is 2931! And 3252 just happens to be the 2793rd composite number!!! as shown by the last arrow. It's remarkable that such a tight, nontrivial and mutually symmetric correlation exists among such diverse sets of chps. Below, we take a look into the links pointing to the verse 27:30 as a result of more interrelationships among these sets.
First, we start with chp 9. This is a unique chp in the sense that it doesn't start with the standard opening verse like the other chps. As such, it occupies a rather special position. But, this missing opening is accounted for as it's strategically embedded in verse 27:30. There are diverse ties between this key verse and many other chps and verses. The first hint that points indirectly to this verse comes from chp 9 itself. The first 57 GV's in chp 9 (up to verse 72) come split in two sets of odd and even verses with 27 and 30 elements each! The 72nd GV is verse 93, the verses of chp 27! The reference to 72 is very interesting, since, chp 72 itself has a very strong tie to this phenomenon: the number of the un-init verses from chp 1 to 72 is 2730!!! The remaining init verses therefore, are 2743. And chp 72 is of ord 43. Furthermore, chp 72 is in EP at position 35, and from 35 to 72 there are 1815 verses. This an indirect hint, since, the accumulative norm 1815 is at verse 27:30!!! We also notice 2730 − 1362 = 1368 = 19 × 72, where 1362 is the verses from chp 1 to 9 and 72 is also the 19th chp in EE. Chp 72 has 28 verses, and from 1 to 27 the verses minus the chps leaves 2872!
Now, let's consider the 2931 EP verses and it's links to chp 9 and its 127 verses. The pair 9 and 127 is related to the pair 68 and 59, since, 68 ± 59 = 127, 9. Also, 6859 = 193. Chps 68 and 59 are of ords 29 and 31 (the components of 2931) respectively! Furthermore, from 1 to 27:30 there are 3187 verses of which 1719 of them are the init verses. Here, we see similar mutual links between this two numbers: 31 is of ord 17 and 87 has 19 verses! Additionally, 27 and 30 are the 17th and 19th composites.
The other component, the 3303 verses/chps, which is shared by both sets EP and OP also plays a significant role as it highlights the complementary character that exists between the chps and their verses. First, we notice that it is the difference between 4627 and 1324, where, we see 46 with ord 27, and both 24 along with 27 are of ord 13. Moreover, from 13 to 46 there are 2838 verses, and 3303 is the 2838th composite! The verse 27:30 is the 1204th GV from chp 1 and with that in mind we may write down the following: 3303 + 1204 = 4507, which is the 611th prime number. Now, 611 + 4507 = 3303 + 1815! (1815, is the norm at 27:30 as was mentioned earlier). Here, we see how 3303 correlates the GV's at 27:30 to the corresponding accumulative norm at that verse. And finally, we may write 3303 as the sum of 1977 and 1326, where we see another interesting connection. These two are the norm and GV count at verse 33:15. Chp 33 itself is of ord 15. From 33:15 to 114 there are 4635 verses, establishing a link between chp 46 and its 35 verses. The number of remaining verses is therefore, 6234 − 4635 = 1599, where, we see chp 15 and its 99 verses. Incidentally, 6234 − 3546 = 2688, where, we see similar thing; 88 and its 26 verses!
We saw earlier how GV's in chp 9 provided hints to chp 27 and its 93 verses. Conversely, we may find that similar pathways also exist from 27 pointing to 9. In particular, we notice that the total norm spanned from G:27 to G:93 is 1131. We recognize this as a pointer to chp 9 and its 127 verses, since, 9127 is the 1131st prime. Chp 27 has 68 FV's. The number of init verses from 19 to 68 (chp 68 itself is of ord 29) is 1514, and this happens to be the 1273rd composite. This is also the norm at 9:127 and simultaneously, the GV count at 29:69! The number of GV's in chps 1, 9 and 27 is 127. That leaves 100 FV's, which is also the number of GV's in chp 9. The total number of verses in those three chps is 227, and this is also the verses of chp 26, which we encountered earlier. Both 9 and 27 share another property: there are 27 FV's in chp 9, which is also the norm in chp 27.
Several very interesting correlations to 27 and 30 come via intermediate chps such as 46 and 55. This is not surprising, since, both chps 46 and 55 are of ord 27. For instance, there are 1327 FV's from 46 to 93, and of course, 13th ord is 27. Likewise, from 1 to 55 the un-init chps add up to 786. This is the gematric value of the tetron which re-appears at 27:30 to make up for the missing one. We encountered 3187 earlier. This is also the 451st prime. Since, chp 55 has 78 verses, we may write down the following: 451 + 5578 = 6029, and this is the 786th Prime! Additionally, 451 is the number of BV's in monotupes corresponding to base verses ranging from 13 to 43 (verses of chp 13). Moreover, from G:27 to G:55 the norms and the GV count add up to 1033, which happens to be the sum of the chps in G:9. We've come across chp 13 several times so far. Taking into account that chp 13 is an init-chp with init-count of 1482, we may further derive a simple relationship involving the aforementioned chps: 1273 + 1482 = 2755. More on chp 13 and its relevant properties is covered below.
From chp 1 to 13 there are 1748 = 19 × 92 verses and chp 92 is the 13th FC as well. We also come across an indirect hint at 92 and its 21 verses in chp 9, since, verse 92 happens to be the 21st FV. Correspondingly, in a symmetric way, 92 also points back to chp 9, as 9221 happens to be the 1143rd prime and 1143 = 9 × 127!!! Chp 92 is of ord 63, which itself is of ord 35. From 9 to 35 and 63 there are 19 and 27 EP's respectively. And from 35 to 92 there are 1197 = 19 × 63 ENV's! Furthermore, 1197 is the count of initials in chp 14, and from 14 to 35 there are 1482 FV's! The number of ENV's in EP is 1452, fittingly pointing to 14 and its 52 verses. Symmetrically, the number of ONV's in OP is 1665 = 45 × 37, nicely pointing to 45 and its 37 verses! The occurrence of 45 in the latter product is a subtle hint that provides the final link back to 13 again. The 45th ord is 74, and the sum of the FV's in chp 74 up to verse 45 is 1748! Additionally, from 14 to 45 there are 19 init-chps with verses spanning 1533 = 21 × 73. Here, we have 33 which is of ord 15, and 73 is the 21st prime!
The counts 1452 and 1665 as we saw, were the ENV/ONV counts in EP and OP sets respectively. Now, 1452 + 1665 = 3117, and this happens to be the verses in the 57 consecutive chps from 22 to 78 - chp 22 has 78 verses. Moreover, in EP, from 1 to 22, the chps and their verses add up to the count of initials in chp 13, 1482 = 19 × 78!!! What's more, up to chp 13, the init-chps span 1078 = 22 × 49 verses, and 49 is of ord 22 and 49th ord is 78! Chp 31 itself is of ord 17 and 3117 is half the total number of verses, 6234 and from 19 to 78 there are 3462 verses! Here, we notice 62 as the 34th ord. Since, both 22 and 55 share the same number of verses, 78, we may expect further links between them as it's the case here. From 19 to 55 there are 22 OP's encompassing 1709 verses, suggesting a deeper association with the init-sets and the init-chps as further discussed below.
The init-chps provide additional signs which help to put the overall foundation surrounding the 27 and 30 pair, the key verse 27:30 and their accompanying parity aspects on a firmer ground. We encountered 1709 in relation to OP. This is the sum of the gematric values of the 14 init-sets initializing 29 chps. The gematric values of the 14 init-letters themselves add up to 693 = 63 × 11. Here, we see 63 and its 11 verses. What makes this more intriguing is the fact that from 11 to 63, the chps in EP add up to 822, the sum of the 29 init-chps! We also encounter 822 when we look at the first 13 init-chps, from 2 to 27, with their norms adding up to 822! Here, we see the complementary roles and the interplay that exist between EP, OP and the init-chps.
We have encountered the three chps 35, 63, and 92 on several occasions in relation to 9, 27 and 30. They give rise to more powerful clues regarding 27:30. First, we note that 92 is of ord 63, which itself is of ord 35. Also, in chp 27, the verse 92 is the 35th even FV. Now, from chp 30 to 92, there are 63 chps spanning 2670 = 89 × 30 verses, where, we recognize the reference to chp 89 and its 30 verses. The appearance of 89 here is not coincidental. Combined with 19, it provides a compelling link back to 27:30. In chp 19, the sum of the FV's up to 19:89 is 3592! And this is the 3089th composite!!! We recall that 27th ord is 55. Now, from 27 to 81 there are 55 chps with sum 2970 = 27 × 110, and 110 is of ord 81! Incidentally, the number of verses in these chps is also 2670!
We have seen several inputs from the init-chps and their ties to the verse 27:30. Now, we can further develop on that front and uncover some interesting facts along the way. We came upon 3592 above. There is an intimate relationship between this number and the key verse. The total number of init-letters all the way to 27:30 is 33563. This happens to be the 3592nd prime!!! We also came across 6859 in relation to chp 9. It is noteworthy that 6859 − 3592 = 3267 = 27 × 121, which points to chp 27 and its 121 init-count! We also encountered 822 earlier - the sum of the 29 init-chps. We can write the following relationship: 822 + 451 = 1273, the norm at 9:127, and 451 was related to the number of verses up to 27:30. Since, 3592 points directly to 27:30, and 786 is the gematric value of the tetron embedded in that verse, we may expect some interaction between these two. This seems to be the case as we write down the following: 3592 + 786 = 4378 and from 27:30 to 43:78 there are 786 init verses!!! And of course, 43 + 78 = 121, the init-count of chp 27. And finally, 3592 may establish a link between 27:30 and the 93 verses of 27; 3592 − 2793 = 799, where, 799 is number of the verses in the odd init-chps up to 27:30! Additioally, 1343 + 2249 = 3592.