C49 — 6877 sits inside 10051 with a 339-year centre offset

22 September 2026 · Step 27 of the authorized 30-step Mirror continuation (C23–C52).

On each full Creation branch, the new 19-fold interval [u,s] contains the original 13-fold interval [b,f]. Its flanks are

Together they remove 6K=3174 from 19K=10051, leaving 13K=6877. The 13-fold centre lies K−p=339 years to the right of the 19-fold centre.

This differs from the 13-within-17 geometry, where the same 13-fold centre lies 190 years to the left of the enclosing centre. Extending the left endpoint from c to u by 2K moves the outer centre left by K; therefore the offset changes from −p to K−p. No new date assignment is needed.

The left 1926 flank is the old 868 attachment plus the cumulative 1058 prefix. The right 1248 flank remains unchanged. This makes the integration explicit: 6877 is the same qualified Creation-to-reflected-Flood interval in both enclosures, not a different interval manufactured to fit 19.

The number 339 here is a geometric displacement derived from K and p. No further named event or lifespan relationship is inferred from its value. All endpoint admissions, including the local 299+299+650 Noah expansion, remain those of N02/N04.

Validation. 8 exact arithmetic/structural checks passed. The ten 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 §3.1 (paired Mirror); File_18 §§2.1.3, 3.1–3.2, 6B and 6D (qualified regular and cumulative fields); frozen C15 typed graph, C16 domain certificate, and C22 reduced scale/constraint certificates.

Best next bounded step — High sufficient. Assemble an exact endpoint atlas for the two full 6877 branches and the N01 24-fold branch.