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
| 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.