C76 — The 6875 construction completes a same-Gear 600-by-650 Noah square
22 September 2026 · Step 4 of the authorized ten-step Mirror continuation (C73–C82).
Three of the six 11-fold chains continue through MT and SP primary Noah births, all in the same regular Gear:
| j / Gear | Creation BC centre magnitude | MT Flood | MT Noah | SP Noah |
|---|---|---|---|---|
| 3 / G1 | 4419 | 2456 | 3056 | 3706 |
| 5 / G2 | 4417 | 2458 | 3058 | 3708 |
| 7 / G3 | 4415 | 2460 | 3060 | 3710 |
The corresponding four source roles form this interval rectangle:
| Reflected target | MT: Creation span | SP: Creation span |
|---|---|---|
| Same-Gear Flood start | 6875 | 7525 |
| Same-Gear primary Noah birth | 7475 | 8125 |
Each birth-to-Flood comparison is 600; each MT-to-SP comparison is 650. Both routes add 1250 and reach the same SP Noah pair. The 7475 and 8125 endpoints already belong to the 13-fold expansion on N02/N04, but here they are reached from the lower 6875 Flood comparison.
The j=7 row adds a source-qualified G3 completion at fixed Creation member 4415 BC, with reflected MT Flood 2460, MT Noah 3060 and SP Noah 3710. It does not create a third 6877 chain: that width from the same origin would require MT Flood 2462, outside the retained field. Creation 4415 is selected inside the fixed source week; no Adam-to-Creation repair or upstream Gear movement is applied.
The three close-ending rows cannot acquire this specific birth completion: their required MT Noah coordinates 3055/3057/3059 are absent from the ordinary MT birth field. Their 11-fold prefixes remain valid. The new result is therefore a three-row same-Gear construction, with a different source domain from the two complete adjacent-Gear 6877 chains.
Validation. 14 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. Test whether the 600 interval has a named 300+300 midpoint and compare it with the existing 299+299 companion midpoint.