{"id": "c302", "title": "Complete 600-year segments and annual coverage", "filename": "490d_C302_Complete_600_Segments_and_Annual_Coverage_20260924.md", "role": "Research action", "step": 302, "sha256": "2f5db651f9f4e57c4f193e11457a760ec4d3d17b151d3584ce073e230cd1ec90", "bytes": 2978, "origins": ["C01–C479/packets/C302/490d_C302_Complete_600_Segments_and_Annual_Coverage_20260924.md"], "download": "/sources/2f5db651f9f4e57c4f193e11457a760ec4d3d17b151d3584ce073e230cd1ec90.md", "format": "md", "derived": false, "tags": ["Regular", "Cumulative", "Mirror / 529"], "excerpt": "C302 — Complete 600-year segments and annual coverage\n\n24 September 2026. Continuation after C301; Mirror and529 focus. K=529.\n\n Result\n\nThe 28 labeled endpoint matches from C301 form 12 labeled complete 600-year segments, representing eight numerical coordinate segments. Four Flood-close point matches remain unpaired.", "content": "# C302 — Complete 600-year segments and annual coverage\n\n24 September 2026. Continuation after C301; Mirror and529 focus. K=529.\n\n## Result\n\nThe 28 labeled endpoint matches from C301 form **12 labeled complete 600-year segments, representing eight numerical coordinate segments**. Four Flood-close point matches remain unpaired. This is a partial, source-qualified correspondence, not a continuous replacement chronology.\n\nThe fixed comparison remains regular W=8464 to reflected AD6 and cumulative W=12696 to reflected AD1406. Equality of the two comparison gaps requires C−B=2832. No anchor, bridge, Gear or rail is adjusted here.\n\n## Binding endpoints\n\nA cumulative Shem record is paired only with the Flood record in the same profile and annual index. Regular endpoints must share tradition, Gear, Cainan state, Terah setting, sojourn setting and rail. The allowed regular segments are Noah birth→Flood start and Shem birth→Shem death. Every accepted segment has cumulative width600, regular width600 and comparison-gap difference600. Equal seasonal components retain that identity.\n\n| Regular family | Qualified context | Labeled segments |\n|---|---|---:|\n| MT Noah→Flood start | Cainan OFF, Terah0, full430 | 4 |\n| SP Shem life | Cainan OFF, Terah+60, minimum215 | 5 |\n| LXX Shem life | Cainan OFF, Terah+60, minimum215 | 3 |\n\nLXX primary coordinates coincide with three SP primary coordinates, but remain different source identities. MT_ON and LXX_OFF cumulative fields also overlap numerically in one complete MT segment. Neither overlap supplies an additional numerical segment.\n\n## Annual coverage and its boundary\n\nFor cumulative LXX_OFF, the required regular pairs are (3058−j,2458−j), j=0…7.\n\n| Index j | Complete regular 600-year segment |\n|---:|---|\n| 0 | MT Gear2 Noah→Flood start |\n| 1 | None; lower2457 exists, upper3057 absent |\n| 2 | MT Gear1 Noah→Flood start |\n| 3 | SP/LXX Gear3 primary Shem life |\n| 4 | SP Gear3 companion Shem life |\n| 5 | SP/LXX Gear2 primary Shem life |\n| 6 | SP Gear2 companion Shem life |\n| 7 | SP/LXX Gear1 primary Shem life |\n\nThus seven of eight annual indices have a complete segment. Closing index1 would require a Noah or Shem upper endpoint3057; none exists in the held 528-record register. The matched lower2457 is MT Gear2 Flood close. Adding an MT companion or extending Gear count would change the domain and is not authorized by this result.\n\n## Evidence and next decision\n\nNine mathematical/domain checks and seven input authentication checks passed. Two readouts replay byte identically. C301 supplies the exact matches; C286 supplies the qualified regular register. Author review only; canonical files and graph unchanged.\n\nThe next bounded step is to intersect this fixed2832 family with the already retained8395 and17K source comparisons. This asks whether the new comparison reproduces existing source routes or only shares isolated endpoints. The chosen bridges and source domain remain fixed.\n"}