C36 — The 12-fold family gains four right-hand placements
22 September 2026 · Step 14 of the authorized 30-step Mirror continuation (C23–C52).
The newly reflected endpoint U=12K−j and retained landing Z=−j give
| Branch | Landing BC numeral | Reflected ON Shem numeral | Width |
|---|---|---|---|
| N01 | 2 | 6346 | 6348 |
| N02 | 3 | 6345 | 6348 |
| N03 | 4 | 6344 | 6348 |
| N04 | 5 | 6343 | 6348 |
All four joined N01–N04 branches admit this right-hand 12-fold interval. That differs from the old left-head 12-fold attachment H→Z, which is admitted only on N01. Equal family values do not make those two endpoint requirements equivalent.
The landing remains a retained Christ-period comparison coordinate, not an independently established historical birth date. For N02, 4t/3n BC to AD 6345t/6346n gives 6348 by either seasonal civil count.
The new span follows from the existing Shem member and the partition landing: it adds source-qualified placements, not a new unit or a new free equation. On N01 the left and right 12-fold intervals coexist. On N02/N03/N04 only this right-hand attachment is admitted within the selected construction.
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. Join the retained left 10-fold interval to the new right 12-fold interval.