C54 — 1058 requires a two-year offset between the two cumulative members
22 September 2026 · Step 2 of the authorized ten-step Mirror continuation (C53–C62).
The two Moses-side bases differ by 600+460=1060:
For this span to equal 1058=2K, the member offsets must satisfy a−b=2. Requiring both offsets to lie in the existing −2…+5 envelopes yields exactly six pairs:
| j | OFF Flood | Its offset a | ON Shem | Its offset b | Gap |
|---|---|---|---|---|---|
| 0 | 5290 | 5 | 6348 | 3 | 1058 |
| 1 | 5289 | 4 | 6347 | 2 | 1058 |
| 2 | 5288 | 3 | 6346 | 1 | 1058 |
| 3 | 5287 | 2 | 6345 | 0 | 1058 |
| 4 | 5286 | 1 | 6344 | -1 | 1058 |
| 5 | 5285 | 0 | 6343 | -2 | 1058 |
The j=0 row is OFF Flood opening 5290 and whole-year Aaron-side ON Shem 6348. The completed N01–N04 bindings are j=2,3,4,5. The j=1 pair is a valid cumulative-only pair; it does not supply the missing regular Noah join. j=6/7 fail this Shem binding because its required member lies below 6343.
Removing the source Cainan lifespan 460 from the ON Shem endpoint leaves a derived-OFF Shem endpoint exactly 598 from the selected OFF Flood member. The decomposition 1058=460+598 is therefore explicit for every row. The 598 is not the ordinary Shem lifespan: it compares differently positioned envelope members against the 600-year Moses-side separation.
The six pairs are related placements of one equation in fixed fields. Their number is not a count of independent confirmations, and the calculation does not assign regular Gear numbers to cumulative members.
Validation. 12 exact arithmetic/structural checks passed. The 13 frozen dependencies passed hash verification; all three generated outputs replayed byte for byte in isolation, and the original dependencies remained unchanged. This step reads completed certificates and does not execute their campaigns.
Scope and provenance. Controlling File_18 and File_09 remain unchanged. Regular Gears apply only to Noah/Shem/Flood; SP person companions only to Noah/Shem. Creation and Conquest fields remain fixed. Native LXX ON, explicitly derived OFF, independent Flood start/close, and paired suffix inversion at January AD 1 remain in force. No civil year zero, upstream Gear transport, primers, Rounded campaign, or localized −33 is introduced. These are new continuation reports, not recovered historical Reports 11–25. Evidence is conditional on the supplied project model, not a proof of literary intention or independent historical dating.
Source locators. File_09 §0.4 rules 21–22 and the Creation Cell / Aaron Phase guard (week anatomy), §3 (paired Mirror); File_18 §§4.2 and 6A–6D (lifespans and cumulative fields); frozen C15/C16/C22 and C43/C46/C48/C50/C52 certificates (retained graph, unit, and domains).
Best next bounded step — High sufficient. Distinguish envelope members from named cut boundaries under the three source-qualified week anatomies.