Nearest-five rounding retains a residual:
For an individual integer row, the residual lies between −2 and 2. Along a path, the residuals add. All twenty-five exact coordinates are recovered by adding the appropriate downstream residual sum to each Rounded coordinate.
The whole path’s accumulated residual is six. Therefore Rounded Creation 4106 plus six recovers strict Actual Creation 4112. Standard Actual 4114 additionally includes the separate Shem +2 convention. Rounding the exact total 2586 once would give 2585, not the row-rounded 2580; likewise rounding the exact 1034 block once gives 1035 rather than its row-rounded 1030. The construction’s order matters.
The 130 bridge also follows from the selected cycles: . It is not an independent selector of Moses. More generally, has positive solutions for nonnegative . The named source path supplies the actual selection.
Native LXX extends the same construction with its own rows and Cainan. Its twenty-six-node Rounded path totals 3960 above Moses, placing Creation at 5486. The gap from MT is . Its corresponding post-Flood blocks are 660 and 1050, compared with MT’s 130 and 800. On the selected SP post-Flood comparison the blocks are 530 and 1050. The transmitted SP 4411 does not by itself supply a newly reconstructed complete Rounded SP field.
This is the bridge to File52c. The complete MT path supplies Creation 4106 and Noah 3056. File52c separately provides Nativity 6, Conquest 1406 and Flood 2456. Their roles together determine the admitted original duration words. Arphaxad’s birth also occupies 2456 in the reconstructed path; equal coordinates do not merge that birth with the Flood event.