C98 — The two 13/12 comparisons have different derived affine anchors
22 September 2026 · Step 6 of the authorized ten-step Mirror continuation (C93–C102).
The source-qualified ratio arrows in C97 can each be realized by an affine map, but they do not use the same anchor. Solving both endpoint equations gives:
| Comparison | Ratio | Derived anchor | Anchor relative to apparent−4444 |
|---|---|---|---|
| U→A | 13/12 | -4720 | -276 |
| C→B | 13/12 | -4744 | -300 |
These anchors−4720 and−4744 are calculated fixed points of the interval maps. No event identity is assigned to them, and neither replaces the canonical JanuaryAD 1 Mirror axis.
Let P be the retained 25/23 map aboutα=−4444, and Q₀/Q₁ the 13/12 maps aboutβ₀=−4720 andβ₁=−4744. Then
The first anchor is 276=12×23 belowα; the second is 300=12×25 below it. The equation is an exact affine conjugacy, including the phase-preserving lifts. It explains how the first sourced triangle maps onto the second while its 13/12 anchor changes.
If the first anchor is incorrectly reused for C→B, both output endpoints fall 2 before the intended records. That concrete residual prevents the two ratio arrows from being silently treated as one fixed global operator. The 24-year difference between the generated anchors is algebraic; it is not a Gear assigned to an upstream person or a new source chronology.
The interval endpoints are admitted source records; the derived affine anchors are separately typed formal parameters. The 13/12 quotient remains a bounded comparison, not a newly canonized operator.
Validation. 10 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. Apply the retained two-anchor identity to the new 552-year Joseph/Flood intervals and verify their common 600-year image.