{"id": "c49", "title": "C49 — 6877 sits inside 10051 with a 339-year centre offset", "filename": "490d_C49_Mirror_Report_20260922.md", "role": "Research action", "step": 49, "sha256": "3a0730ff0af150e45ea0c05b98e0a4f4bc591b56ff7b7754a06e34b5ba8b45ed", "bytes": 2760, "origins": ["C01–C479/reference/490d_C01_C265_Complete_Window_Archive_20260923.zip!/workspace/mirror_30_step_campaign_20260922/C49/490d_C49_Mirror_Report_20260922.md"], "download": "/sources/3a0730ff0af150e45ea0c05b98e0a4f4bc591b56ff7b7754a06e34b5ba8b45ed.md", "format": "md", "derived": false, "tags": ["Regular", "Cumulative", "Rounded", "Mirror / 529"], "excerpt": "C49 — 6877 sits inside 10051 with a 339-year centre offset\n\n22 September 2026 · Step 27 of the authorized 30-step Mirror continuation (C23–C52).\n\nOn each full Creation branch, the new 19-fold interval u,s contains the original 13-fold interval b,f. Its flanks are\n\n\\\nb-u=4K-p=1926,\\qquad s-f=2K+p=1248.\n\\\n\nTogether they ", "content": "# C49 — 6877 sits inside 10051 with a 339-year centre offset\n\n22 September 2026 · Step 27 of the authorized 30-step Mirror continuation (C23–C52).\n\nOn each full Creation branch, the new 19-fold interval [u,s] contains the original 13-fold interval [b,f]. Its flanks are\n\n\\[\nb-u=4K-p=1926,\\qquad s-f=2K+p=1248.\n\\]\n\nTogether they remove 6K=3174 from 19K=10051, leaving 13K=6877. The 13-fold centre lies **K−p=339 years to the right** of the 19-fold centre.\n\n| Branch | 19-fold centre | 13-fold centre | Offset |\n| --- | --- | --- | --- |\n| N02 | -2639/2 | -1961/2 | 339 |\n| N04 | -2635/2 | -1957/2 | 339 |\n\nThis differs from the 13-within-17 geometry, where the same 13-fold centre lies 190 years to the left of the enclosing centre. Extending the left endpoint from c to u by 2K moves the outer centre left by K; therefore the offset changes from −p to K−p. No new date assignment is needed.\n\nThe left 1926 flank is the old 868 attachment plus the cumulative 1058 prefix. The right 1248 flank remains unchanged. This makes the integration explicit: 6877 is the same qualified Creation-to-reflected-Flood interval in both enclosures, not a different interval manufactured to fit 19.\n\nThe number 339 here is a geometric displacement derived from K and p. No further named event or lifespan relationship is inferred from its value. All endpoint admissions, including the local 299+299+650 Noah expansion, remain those of N02/N04.\n\n**Validation.** 8 exact arithmetic/structural checks passed. The ten 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.\n\n**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.\n\n**Source locators.** File_09 §3.1 (paired Mirror); File_18 §§2.1.3, 3.1–3.2, 6B and 6D (qualified regular and cumulative fields); frozen C15 typed graph, C16 domain certificate, and C22 reduced scale/constraint certificates.\n\n**Best next bounded step — High sufficient.** Assemble an exact endpoint atlas for the two full 6877 branches and the N01 24-fold branch.\n", "evidenceLinks": [{"id": "d-68301ab760bfbe2e", "title": "File 18"}, {"id": "d-45851004c5864229", "title": "File 09"}]}