C85 — The 1058 midpoint completes a formal 11–12–13 ladder
22 September 2026 · Step 3 of the authorized ten-step Mirror continuation (C83–C92).
The original Joseph head is not the midpoint of the 1058 Conquest-to-upper-Flood interval. It lies 23 before that midpoint:
For the 1056 lower-Flood interval, its midpoint lies 22 beyond Joseph and splits 528+528. Thus changing the Flood endpoint by 2 moves the midpoint by 1.
| Branch | Conquest | Joseph | Lower midpoint | Upper midpoint | Upper Flood |
|---|---|---|---|---|---|
| N01 | 1399 | 1905 | 1927 | 1928 | 2457 |
| N02 | 1400 | 1906 | 1928 | 1929 | 2458 |
| N03 | 1401 | 1907 | 1929 | 1930 | 2459 |
| N04 | 1402 | 1908 | 1930 | 1931 | 2460 |
Against the same fixed Creation member, the upper midpoint has width 6348=12×529. This places it exactly between the already admitted 11×529 Conquest and 13×529 Flood endpoints:
The lower midpoint instead has Creation width 6347=12×529−1. Both are exact component-wise midpoints under the declared paired representation; reflection supplies their corresponding BC-side comparisons.
This step establishes the midpoint coordinates 1928/1929/1930/1931 and their arithmetic. It does not yet assign an event name merely from a number. The existing 12-fold family has other certified endpoints, and its event identities do not transfer automatically to these new coordinates. C86 checks a bounded candidate catalog in the already consulted File_61 and File_18.
Validation. 17 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. Check these midpoint coordinates against fixed Jacob-in-Haran and cumulative Levi records, preserving their distinct source classes.