# C47 — Different errors leave different Mirror residuals

22 September 2026 · Step 25 of the authorized 30-step Mirror continuation (C23–C52).

A small formal control table distinguishes the two released constraints:

| Control | old 17 | 15 | new 19 | right 22 | joined 24 |
| --- | --- | --- | --- | --- | --- |
| retained | 0 | 0 | 0 | 0 | 0 |
| old closure shifted | 1 | 1 | 1 | 1 | 1 |
| Shem member earlier by one | 0 | 0 | 1 | 1 | 1 |
| compensating mismatch | 1 | 1 | 0 | 0 | 0 |

These are diagnostics in (ρ,m), not newly admitted chronology variants. A one-year failure of the old 17-fold closure shifts all listed residuals by one. Moving only the selected ON Shem member one year earlier changes the new endpoint-dependent paths but leaves the old 17 and the 15-fold intersection unchanged.

The compensated row is especially useful: ρ=1 and m=−1 makes the new 19/22/24 widths appear exact while the old 17 remains wrong. Therefore a set of new closing widths cannot replace the old source constraints and selected-length match.

A wrong comparison unit produces another signature. Holding actual endpoint widths fixed but comparing against K+1 gives residuals −17,−15,−19,−22,−24. Confusing H with u instead affects the head-dependent interval by −2j, as C44 showed. These patterns distinguish a wrong unit, a member mismatch and a head conflation without proposing repairs to the controlling chronology.

**Validation.** 6 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.** Separate source-only endpoint permissions from membership in the complete joined graph.