C33 — A qualified 19-fold Mirror interval from cumulative Shem to Noah
22 September 2026 · Step 11 of the authorized 30-step Mirror continuation (C23–C52).
The retained native-ON cumulative Shem endpoint u supplies a 19×529=10051 Mirror width to reflected SP Noah s:
| Branch | ON cumulative Shem BC numeral | Reflected SP Noah numeral | Width | Full Creation expansion |
|---|---|---|---|---|
| N01 | 6346 | 3705 | 10051 | no |
| N02 | 6345 | 3706 | 10051 | yes |
| N03 | 6344 | 3707 | 10051 | no |
| N04 | 6343 | 3708 | 10051 | yes |
These are already qualified endpoints in the C15 graph. The new work composes the existing 2-fold cumulative prefix and 17-fold Mirror path through their common c node. No endpoint search, extra Gear, or new chronology profile is required.
For N02 the actual paired interval is 6346t/6345n BC to AD 3706t/3707n. Either same-season civil count gives 10051. N04 gives the corresponding 6343/3708 coordinate magnitudes. N01/N03 also support the 19-fold path, even though their full Creation expansion lacks an admissible MT Noah birth.
This is a new explicit dependent family in this continuation's selected register; it was not one of C15's eight enumerated family labels. Its value is forced by 2+17, so it does not add an independent calibration or witness. It does add a concrete, source-qualified endpoint relationship to the synthesis around 6877.
Validation. 12 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. Inspect the overlapping 17-fold paths and their source-qualified 15-fold intersection.