# 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

\[
P(\beta_0)=\beta_1,\qquad
P\circ Q_0=Q_1\circ P.
\]

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.