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C651 — Consolidate the rail and refinement families

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Study sequence: Creation–Joseph calendar halves and Creation–Terah refinement (C632–C651) · Calendar Keys, phase & Sothic

C651 — Consolidate the rail and refinement families

Question

What is the shortest supported explanation after the first20 steps?

Inputs

{
  "families": [
    "calendar rails",
    "five-position Creation–Terah refinement",
    "coarse Jacob/Joseph rails"
  ],
  "scope": "source-conditioned geometry"
}

Sources

[
  "C632–C650",
  "Research Strategy"
]

Opened utc

2026-09-28T01:05:24.402267+00:00

Results

{
  "artifact": {
    "path": "deliverables/C651_Interim_Synthesis.md",
    "sha256": "ff98f9808fb24b7648ba2eeb7f8e0a1a23508c84f34e2dae154bb7f095f750ab",
    "bytes": 1119
  },
  "completed_range": [
    632,
    651
  ],
  "core_rules": [
    "Dij=T+7(j−i)",
    "R(c,u)=c+u(7,1,0,−6,−7)",
    "T=2366+32760q"
  ]
}

Finding

Twenty sequential steps now explain two whole-family generators and distinguish their inherited shapes from the source-selected placements. Further scalar boundary searches are lower priority than the prepared reflection and cumulative families.

Reassessment

Reconstruct the source’s Jacob-centered reflection as a complete event-role object.

Checks

{
  "range": true,
  "calendar": true,
  "refinement": true
}

Closed utc

2026-09-28T01:05:24.402497+00:00

Record provenance

Exact record hash: 45e5a551cfa6f6c155c1c4932f71c7c08997ccbf79e0d2110994f1269d2d9e77

Source journal: Research_Cycles/C0632_C0731/journal.json

Linked sources and evidence

Edition and provenance

C651.md

SHA-256 d9c993af0a4aaa708064c92b729d1dc6fb5828fbf3d5f7fc6015732820bc45e9

C480–C1634/Research_Cycles/C0632_C0731/journal.json#C651