C84 — Joseph divides the retained 2×529 Conquest-to-Flood interval into 506+552

22 September 2026 · Step 2 of the authorized ten-step Mirror continuation (C83–C92).

The two-year shortfall has an exact endpoint repair inside the existing source domain. Keep Conquest and Joseph fixed, and select the admitted MT Flood one Gear above the lower endpoint. This restores

The upper endpoint is exactly the previously certified 2conq endpoint of N01–N04. The 2×529 interval is therefore retained evidence; the added result is its precise original-Joseph interior partition 506+552.

N01/N03 use closes on both Flood levels; N02/N04 use starts on both levels. The two-year difference advances one Gear while preserving the event-boundary class. It does not turn a Flood close into an SP person companion.

The source domain is j=2…5. The remaining lower-prefix rows j=6/7 would require upper Flood 2461/2462, which the ordinary retained field does not contain. They continue to support the 1056 lower prefix but not this dual-Flood comparison. No new G4 is supplied.

This is an exact dissection of one retained interval, not a new independent occurrence count for 529. The next question is whether its 529+529 midpoint has a source identity.

Validation. 18 exact arithmetic/structural checks passed. The 16 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 §3 and Appendix A (paired Mirror and exact phase); File_18 §§2.1.3, 2.4, 3.1 and 6/6A (regular fields and cumulative collateral source); File_61 §§3.3–3.4, 11.1–11.4 and 14.3 (fixed Jacob events, original Joseph portion and its 500-year Conquest comparison); File_62 collateral-scope guards; frozen C15/C16/C22/C43/C65/C74–C77/C82 dependencies (retained source, phase and family controls). The declared phase model does not infer an unstated birthday or event month from an annual source row.

Best next bounded step — High sufficient. Locate the 529+529 midpoint relative to Joseph and compare it with the midpoint of the 1056 lower interval.