# C77 — The 300+300 midpoint is SP primary Noah death in the same Gear

22 September 2026 · Step 5 of the authorized ten-step Mirror continuation (C73–C82).

**The 600 interval has a named midpoint in all three Gears:** SP primary Noah death. Source Noah lifespan 950 and the 650-year MT/SP displacement give

\[
950-650=300,\qquad600=300+300.
\]

| Gear | MT Flood reflection | SP primary death reflection | MT Noah reflection | Two halves |
| --- | --- | --- | --- | --- |
| 1 | AD 2456t/2457n | AD 2756t/2757n | AD 3056t/3057n | 300 + 300 |
| 2 | AD 2458t/2459n | AD 2758t/2759n | AD 3058t/3059n | 300 + 300 |
| 3 | AD 2460t/2461n | AD 2760t/2761n | AD 3060t/3061n | 300 + 300 |

The midpoint equality holds on both seasonal components. Its Creation-to-event ladder is 6875,7175,7475,8125, with increments 300,300,650 after the first landing.

For G1/G2, compare this with the existing adjacent-Gear construction:

| Selected role | Old 299 construction | New 300 construction | Old minus new |
| --- | --- | --- | --- |
| MT Flood | next-Gear start | same-Gear start | 2 |
| SP Noah death | next-Gear companion | same-Gear primary | 1 |
| MT Noah birth | held same birth | held same birth | 0 |

Thus 6877→7176→7475 becomes 6875→7175→7475. The midpoint changes from an SP companion in the next Gear to an SP primary in the same Gear. The two 299 halves and the two 300 halves are both supported, but by different source bindings.

The G3 primary midpoint remains admitted without inventing a G4 companion construction. The local equations preserve the coherent Noah lifespan 950 and the restriction of regular Gears to Noah/Shem/Flood.

**Validation.** 13 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 the exact 300/299 map taking the two old companion-midpoint chains to the new primary-midpoint chains while holding MT Noah fixed.