# C61 — The 24-fold paired Mirror preserves the exact 3.5-year Aaron phase

22 September 2026 · Step 9 of the authorized ten-step Mirror continuation (C53–C62).

**The paired 12696-year interval does not require discarding the Aaron phase.** File_09's simplified Julian proof coordinates place Nisan at the quarter-year and Tishri at the three-quarter-year. Applying them to the derived Shem Moses line 6345n gives the Aaron/Tishri component **6349t BC**, exactly 3.5 years earlier.

The source's Aaron-column value 6348.5 is its Nisan-reference numerical phase label. The ordinary three-year member is 6348n. Together the seasonal comparison pair is

\[
6349t/6348n\ \mathrm{BC}\longrightarrow
\mathrm{AD}\ 6348t/6349n.
\]

The BC pair has coordinates −6348.25 and −6347.75, centred at −6348. Its AD counterpart has coordinates +6347.75 and +6348.25, centred at +6348. Both pairs are half a year wide. The reflected point sets agree exactly; the same-season component spans are both **12696=24K**.

Thus 6348.5 identifies the exact Tishri component in the cumulative phase display; it is not an instruction to shift the paired centre from 6348 to 6348.5. The whole-year role and exact phase coexist as File_09 requires. This is a derived application of its phase model, not a new astronomical calendar calculation or an added source date row.

The standalone single-date convention is different. 6349t BC→AD 6349t spans 12697; 6348n BC→AD 6348n spans 12695. Those are valid single-date comparisons but are not the paired 24-fold construction. Merely doubling the displayed 6348.5 produces the former value and does not compute the paired span.

There is a useful negative control: writing the AD pair incorrectly as 6348n/6349t retains its numeric centre +6348 but makes its internal width 1.5 years. The component spans become 12695.5 and 12696.5. **Correct centres alone therefore cannot verify the phase-resolved Mirror.** Suffix inversion and component-wise checks are essential.

The same calculation verifies all four 20/22/24 rectangle intervals with their proper seasonal pairs. No regular Gear or cumulative lifespan is changed.

**Validation.** 11 exact arithmetic/structural checks passed. The 13 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 §0.4 rules 21–22 and the Creation Cell / Aaron Phase guard (week anatomy), §3 (paired Mirror); File_18 §§4.2 and 6A–6D (lifespans and cumulative fields); frozen C15/C16/C22 and C43/C46/C48/C50/C52 certificates (retained graph, unit, and domains).

**Best next bounded step — High sufficient.** Synthesize C53–C61 and publish the ten-step checkpoint, preserving the source/phase distinctions and their limits.