# C37 — 22-fold spans coexist with the full 6877 constructions

22 September 2026 · Step 15 of the authorized 30-step Mirror continuation (C23–C52).

The retained A→Z left 10-fold interval followed by the new Z→U right 12-fold interval gives

\[
U-A=22K=11638.
\]

| Branch | MT cumulative ON Flood BC | Reflected LXX cumulative ON Shem | Width |
| --- | --- | --- | --- |
| N01 | 5292 | 6346 | 11638 |
| N02 | 5293 | 6345 | 11638 |
| N03 | 5294 | 6344 | 11638 |
| N04 | 5295 | 6343 | 11638 |

This supplies four new placements of the existing 22-fold value. In particular, **N02 and N04 now carry a qualified 22-fold path alongside their full 6877 Creation–Flood–Noah expansions**. No missing left head has been invented to achieve that result.

On N01 both 22-fold orientations in this construction are admitted: old H→D and new A→U. The latter is the former translated by 2K at both ends. On N02/N03/N04 the putative H lies outside the source field, so the old left-head path remains excluded even though the new path is valid.

The BC endpoint is an MT cumulative restored-ON Flood member; the reflected endpoint is a native-LXX-ON cumulative Shem member. The two ON labels retain their distinct chronology profiles. The equality 10+12=22 is a path consequence with these bindings, not a new independent calibration.

**Validation.** 9 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.** Test the complete N01 left-head to reflected-Shem path for a 24-fold interval.