From the Rounded genealogy to the inverse family

The complete Moses-path reconstruction supplies Rounded Creation4106 and Noah3056. With File52c’s separately appointed Nativity6, Conquest1406 and Flood2456, those nodes generate all three admitted Regular original component words.

Every word matches the frozen inverse input. Their existing one-pass images retain different intermediate prefixes but share the14720 total and its25/23 completion to16000. This is a verified interface between complete constructions. It adds no new inverse member, target count or second inversion.

The source roles travel with the numbers. Arphaxad’s birth2456 and the selected Flood2456 are different labelled roles sharing a coordinate. Likewise, the transformed first leg ends at4106, but that generated endpoint is not the original Creation node. Neither coincidence authorizes an additional route. The Cumulative14006/4836 path remains separately measured, and no SP cap-to-MT inverse transfer is implied.

Operation order also matters. The Moses path sums rounded rows. Its Enoch-to-Arphaxad block is1030, while rounding the exact1034 block once gives1035. The complete row-rounded span2580 differs from rounding the exact2586 total once, which gives2585. Accumulated residuals preserve the full exact field without altering the published Rounded path.

The connection therefore has a concrete form: source intervals generate the Rounded genealogy; named source cuts select original component words; File52c’s admitted operation acts on those words. The common grammar is visible without treating all equal totals or equal coordinates as interchangeable.