C81 — The source fixes the scale that ratio closure leaves free
22 September 2026 · Step 9 of the authorized ten-step Mirror continuation (C73–C82).
The closure equation in C80 cancels K. It therefore does not by itself recover 529. The same-Gear Noah–Flood span supplies the dimensional constraint:
The two-year Flood separation gives the equivalent expression
The two calibration rows are proportional by 300; they provide one scalar constraint once these coefficients and r are held. They must not be counted as two independent scale determinations.
| Formal K | Closure residual | Implied Noah–Flood span | Implied Gear step | Matches source |
|---|---|---|---|---|
| 529 | 0 | 600 | 2 | yes |
| 530 | 0 | 318000/529 | 1060/529 | no |
K=530 preserves the formal meeting of the two routes but changes both required source intervals. This single control distinguishes ratio consistency from chronological admission; it is not an alternative chronology or a new broad negative-case campaign.
The resulting 529 expression is a conditional reformulation of the already calibrated model. It uses the selected 11/13 family coefficients, the retained 25/23 ratio and source Noah/Flood relations. Repeated placements, exact phase checks and the equivalent two-year equation do not create additional independent witnesses. The original C22 calibration and source provenance remain controlling.
Validation. 7 exact arithmetic/structural checks passed. The 15 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 §11 and File_62 collateral-scope guards (original Joseph portion only); frozen C15/C16/C22/C43/C65/C72 certificates and C01/C05/C09 reports (retained source, phase and family dependencies). The declared phase model does not infer an unstated birthday or event month from an annual source row.
Best next bounded step — High sufficient. Publish the C73–C82 synthesis, retaining the six/three/two/one source domains and the new named 7200 landing.