ALM's and ALR's
The Fig. illustrates the various relationships among the ALM counts (the top equation) and those corresponding to ALR (the bottom eq.), see appendix 1. The total counts of the A's, L's and M's in the 6 ALM chapters add up to 19874, and, similarly, the 5 ALR chapters have their counts add up to 9462. The 1st sum highlights the components 8, 19 and 74, where, we have seen, before. The 2nd sum splits into components 94 and 62, where, the latter is the sum of the 5 ALR chapters. Their verse span is 494 = 19 × 26, and chapter 26 has 94 occurrences of the initial letter "S".
The correspondence between these two sets of chapters becomes more apparent if the individual counts are further split into their components as depicted by small arcs. They are related via verses (V-arrows) and ords (see Glossary) (I,U arrows). The partial sum (of L's and M's) 10929 from the top eq. hints at chapter 10; 109 is verses of chapter 10, and 10 is the index of 29. Similarly, (L's and R's) partial sum 4389 = 19 × 231 from the bottom eq. connects 43 to its 89 verses. Also, 231 is the value of ALR. Note, 10, 19, 36, 64 and 93 form an ord sequence (solid and dotted arrows).
The digit-sums (DS arrows) on the left and right from the 1st sum are 65 and 29, respectively (sum, 94). And from the 2nd sum, they are 48 and 21 (ord pair), adding up to 69 (verses of 29). Note the verse sequence (48, 29, 109) along with 94 being of ord 65. In particular, the digit-sums for chapters 2 and 3 are 35 and 46, respectively. Here, we observe a symmetric relationship: 35 is the verses of 46, and 46 is the adjoin verses of 35.
Of the remaining four chapters, 29, 30, 31, and 32, their ALM counts add up to 4313 = 19 × 227. We recognize 13 and its 43 verses and also the quotient 227, as the verses of 26, as referenced earlier. Additionally, 26 is the occurrences of "Saad" in chapter 19. We notice an indirect link to chapters 2 and 3 via 13; from 1 to 13 the free verse span is 819 and 19 × 819 is the sum of the ALM's of chapters 2 and 3. The pairs (29, 31), and (30, 32) share a common property. In chapters 29 and 31, the ALM digit-sum is 43 each. Similar sum for 30 and 32 pair is 39 (ord 19).
Additional links between 8, 19 and 74 are as follows: the set :8 contains 74 FV's, :74 has 19 FV's, and :19 has 56 FV's, where, the latter, is the verses of 74.
We saw earlier the partial sum, 10929 = 6493 + 4436 (top dotted arrow), in connection with chapter 10 and its verses, 109, itself of ord 80. Now, 80109 is the total gematric value of the ALR's in chapter 10! Moreover, the verse span from 10 to 80 is 4436! With chapter 10, of GV span 49, itself, verses of 52 (ord 24), and the ALM chapters' sum, 127 (verses of 9), we note the FV span from 9 to 49 is appropriately, 2452. The L-count 6493 from the ALM's and the ALR sum 9462 point to chapter 29 and its 69 verses: 9462 − 6493 = 2969. Additionally, the R-count, 1095, is also the sum of the GV's in chapter 29.
The A-count in the 2nd eq. is divisible: 5073 = 19 × 267, where, the quotient is the index of 1709, the sum of the values of the 14 declarations. We also note the A's from 1st eq. relate to the L's and R's from the 2nd eq.; 8945 − 4389 = 4556, where we see the components 45 and 56, the ord and verses of 74. Furthermore, from 1 to 56, the verse span is 5073!
Among the 18 individual counts of the 6 ALM chapters, the 8 even and the 10 odd counts are separately divisible. The 10 odd counts further split into divisible subsets. The 6 prime counts sum to 4864 = 19 × 256. It is noteworthy, that the digit 6 does not appear at all among the 18 counts! We observe, 4864 = 2489 + 2375, the ALR's of chapters 10, 11, and 12. Similarly, 4864 + 798 = 5662, relates initial counts of chapter 19 to that of chapter 3.