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C64 — The SP companion shift is independent of seasonal phase

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Study sequence: Cumulative boundaries and exact seasonal phase (C53–C72) · Mirror & 529

C64 — The SP companion shift is independent of seasonal phase

22 September 2026 · Step 2 of the authorized ten-step Mirror continuation (C63–C72).

The named midpoint is preserved on each seasonal rail, but its one-year source selection and its half-year internal phase are different operations. In N02, the SP companion death is centred at 2757; its same-Gear primary death is centred at 2758. Both pairs are half a year wide. Replacing one by the other translates both components by a full year.

The source arithmetic explains the 299 halves:

299=950−650−1,598=2×299. 299=950-650-1, \qquad598=2\times299.

The reflected SP primary birth lies 650 beyond its same-Gear MT birth. The selected SP death belongs to the next Gear's companion station, so it lies 949, rather than 950, before that selected SP birth. This is a comparison of differently bound records; the coherent Noah lifespan remains 950.

Control (both branches)Flood→middleMiddle→MT NoahCreation→Flood
retained2992996877
SP primary death substituted3002986877
half-year midpoint shift599/2597/26877
Flood close substituted3002996876

The primary-death substitution gives 300+298. A half-year centre shift gives 299½+298½ and has no admitted SP companion identity. Substituting the independent Flood close gives 300+299 and changes the initial Creation span to 6876. Neither substitution can be repaired by renaming seasonal components.

The exact midpoint equation holds component-wise: P(d)=(P(f)+P(m))/2. Its source identity still depends on the retained SP companion record. This local equality does not turn arbitrary averages into new chronology dates. These controls keep the existing boundaries and the declared phase model distinct while preserving the valid 299+299 construction.

Validation. 8 exact arithmetic/structural checks passed. The 14 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 3.2 (regular source bindings and seasonal limits); frozen C15/C16/C22/C43/C50/C61/C62 certificates (retained graph and phase); C01/C04/C05 reports (completed expansions and their source limits). The declared phase model does not infer an unstated birthday or event month from an annual source row.

Best next bounded step — High sufficient. Determine the precise phase-preserving interpretation of the existing 25/23 expansion from 6877 through 7475 to 8125.

Linked sources and evidence

Edition and provenance

490d_C64_Mirror_Report_20260922.md

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C01–C479/reference/490d_C01_C265_Complete_Window_Archive_20260923.zip!/workspace/mirror_10_step_phase_lift_20260922/C64/490d_C64_Mirror_Report_20260922.md