{"id": "c561", "title": "C561 — Resolve the two Joshua translations", "filename": "C561.md", "role": "Research action", "step": 561, "sha256": "29857be56ad72e3aa136da3281b1ace7f60a9d1f136080cadff2dc7b3b9fcf20", "bytes": 1324, "origins": ["C480–C1634/Research_Cycles/C0532_C0631/journal.json#C561"], "download": "/sources/29857be56ad72e3aa136da3281b1ace7f60a9d1f136080cadff2dc7b3b9fcf20.md", "format": "md", "derived": true, "tags": ["Regular", "Cumulative"], "excerpt": "Which Joseph states yield the source430 and460 routes?", "content": "# C561 — Resolve the two Joshua translations\n\n## Question\n\nWhich Joseph states yield the source430 and460 routes?\n\n## Inputs\n\n```json\n{\n  \"target\": [\n    1476,\n    1366\n  ],\n  \"source_intervals\": [\n    [\n      1906,\n      1796\n    ],\n    [\n      1936,\n      1826\n    ],\n    [\n      1933,\n      1823\n    ],\n    [\n      \"3873/2\",\n      \"3653/2\"\n    ]\n  ]\n}\n```\n\n## Sources\n\n```json\n[\n  \"File61 §§14.1–14.3\"\n]\n```\n\n## Opened utc\n\n2026-09-28T00:14:34.271558+00:00\n\n## Results\n\n```json\n{\n  \"translations\": [\n    [\n      430,\n      430\n    ],\n    [\n      460,\n      460\n    ],\n    [\n      457,\n      457\n    ],\n    [\n      \"921/2\",\n      \"921/2\"\n    ]\n  ],\n  \"states\": [\n    \"backward Nisan\",\n    \"forward Aaron whole-year\",\n    \"forward Nisan diagnostic\",\n    \"forward Aaron exact diagnostic\"\n  ]\n}\n```\n\n## Finding\n\nThe430/460 pair is exact in its declared mixed states. Other forward phases require457 or460.5, so460 is not a phase-independent property of Joseph.\n\n## Reassessment\n\nFollow the fixed regular Joshua interval into the cumulative Joshua interval.\n\n## Checks\n\n```json\n{\n  \"routes\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T00:14:34.271787+00:00\n\n## Record provenance\n\nExact record hash: `d89a2f0a37c2f3bd6fe0a40ed73b2f7ecfb8193f1ad3d56f229552e1a7b1bde3`\n\nSource journal: `Research_Cycles/C0532_C0631/journal.json`", "journalDownload": "/sources/7a2e1117efc741218b68e2db8bb20eadd33cab34e00384e9b903708031da1d2d.json", "evidenceLinks": [{"id": "d-d580afd48d6e12d6", "title": "File 61"}]}