Contrasted symmetry
Here, we observe an occurrence of a different type of symmetry, where, pairs of chps are mutually interacting, but, not with exact role reversal. The pairs recombine in a distinct manner, although, preserving the overall symmetry, the arrangement is slightly asymmetric. The two chps 40 and 97 participate in a joint link via a mutual tie-in with chp 19, where, the number of verses spanned out between them give rise to 40 × 97 and 1997.
Specifically, as shown by the two horizontal top and bottom arrows, the 79 chps from 19 to 97 and the 58 chps from 40 to 97 span out 40 × 97 and 1997 verses, respectively! The two chps 79 and 97 are further linked via an intermediate node 44, where, 79, 44, and 97 form a three-point R-chain (see Glossary). The correspondence among the three chps runs deeper as we take a closer look at other elements involved when we factor in the ord, the init/un-init and the adjoin verses.
First, we note the O-link between 68 and 97, represented by the two up/down curved dotted arrows on the right. This link is further emphasized by the left downward arrow, where the 22 chps from 19 to 40 put out 1968 verses. Their corresponding spanned adjoin init verses (IWs) is 19 × 58, which, incidentally, is also the sum of the FC's from 68 to 97! (upward curved dotted arrow). The occurrence of 58 is especially noteworthy, since, chp 58 is the only normal chp with no free verse. Thus, the number of chps containing free verses from 19 to 97 is 78, where the latter combined with 22 and 58 form a three-point V-chain.
The correlation between 19 and 40 is further tightened indirectly via the normal and free verses. The free verse count up to chp 19 is 1291, which is also the 210th prime. Their sum 1291 + 210 = 1501 is the GV count at the end of chp 40 (40:85), and 40, 85, and 22 form another three-point V-chain! Additionally, 1501 = 19 × 79, again, pointing back to 79. The latter V-links to 46, and from 19 to 97 the sum of the 79 ascensions is 4679!
The two vertical arrows on the right pointing away from 1 to 97 highlight a very intriguing phenomenon. The up and down arrows point to the un-init chps and their verses from 1 to 97, for sums 3931 and 3385, respectively. Now, 3931 − 3385 = 546, and 3931 happens to be the 546th prime!!!
The three chps 19, 40, and 97 are all napens. As such, they share additional common ties. Up to 97 the count of NV's is 3292, with an interesting twist; from 19 to 92 there are 32 NC's! Furthermore, up to 92, the count of NV's is 3268, and 32 G-links with 68. Likewise, from 40 to 92 there are 21 NC's, where, 40, 21, and 92 form a three-point OV-chain.