C97 — The first 529+23 triangle is now source qualified

22 September 2026 · Step 5 of the authorized ten-step Mirror continuation (C93–C102).

The new apparent-Creation→Joseph-closing interval supplies the missing source qualification for C05's first-stage arithmetic:

The five intervals needed for this and C05's retained second triangle are:

flowchart LR
 U["6348"] -->|"13/12"| A["6877"]
 A -->|"300/299"| C["6900"]
 U -->|"25/23"| C
 C -->|"13/12"| B["7475"]
 B -->|"300/299"| D["7500"]
 C -->|"25/23"| D

The 13/12 arrows are derived comparisons between the specified intervals. The 300/299 arrows hold the right endpoint and extend the left. Their product is 25/23, whose direct action uses the fixed apparent anchor−4444.

From U to A, the left endpoint advances 23 while Joseph 1904 advances 552 to MT Flood 2456, so the width increases 529. Extending A leftward by 23 then restores the apparent anchor and produces C. The retained second triangle similarly gives 6900→7475→7500, with gains 575+25=600.

The apparent 25/23 map sends the entire first triangle U/A/C to the second C/B/D, including both seasonal components. This is now a comparison of named source intervals throughout. The new contribution is the first triangle's original-Joseph base; the second triangle and its apparent field were established in C05.

The labels 13/12 and 300/299 do not introduce new canonical chronology operators. The next step makes the anchors behind the two 13/12 comparisons explicit, so the ratio labels do not conceal different affine maps.

Validation. 11 exact arithmetic/structural checks passed. The 20 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 and Appendix A (paired Mirror and exact phase); File_18 §§2.1.3, 2.4, 3.1 and 6/6A (regular fields and cumulative collateral source); File_61 §§3.3–3.4, 11.1–11.4 and 14.3 (fixed Jacob events, original Joseph portion and its 500-year Conquest comparison); File_62 collateral-scope guards; C01/C05 retained endpoint and apparent-field results; frozen C15/C43/C65/C67/C68/C74–C76/C86/C89/C92 dependencies (source, phase and family controls). The declared phase model does not infer an unstated birthday or event month from an annual source row.

Best next bounded step — High sufficient. Derive the affine anchors of the two 13/12 comparisons and test their conjugacy under the retained 25/23 map.