{"id": "c562", "title": "C562 — Compose Joshua interval translations", "filename": "C562.md", "role": "Research action", "step": 562, "sha256": "b3b12188f0491158deeb4e797b3bb02f6ca01d53e39a186fad298ff7a74f9aea", "bytes": 1212, "origins": ["C480–C1634/Research_Cycles/C0532_C0631/journal.json#C562"], "download": "/sources/b3b12188f0491158deeb4e797b3bb02f6ca01d53e39a186fad298ff7a74f9aea.md", "format": "md", "derived": true, "tags": ["Regular", "Cumulative"], "excerpt": "Does the regular-to-cumulative Joshua link close the Joseph routes without changing fixed event anchors?", "content": "# C562 — Compose Joshua interval translations\n\n## Question\n\nDoes the regular-to-cumulative Joshua link close the Joseph routes without changing fixed event anchors?\n\n## Inputs\n\n```json\n{\n  \"regular\": [\n    1476,\n    1366\n  ],\n  \"cumulative\": [\n    1406,\n    1296\n  ],\n  \"terminal_starts\": [\n    1526,\n    1512\n  ]\n}\n```\n\n## Sources\n\n```json\n[\n  \"File61 §14.3A; File62 §9\"\n]\n```\n\n## Opened utc\n\n2026-09-28T00:14:47.328559+00:00\n\n## Results\n\n```json\n{\n  \"Joshua_shift\": [\n    70,\n    70\n  ],\n  \"composed_Joseph_shifts\": [\n    500,\n    530\n  ],\n  \"fixed_Joshua_spans\": [\n    230,\n    216\n  ]\n}\n```\n\n## Finding\n\nThe common70 translation gives total500/530 routes. Holding cumulative Joshua1296 contracts230 to216 when the derived start shifts14; historical Moses1526 remains the original event.\n\n## Reassessment\n\nTest whether the double Adam square is an independent pattern or translated geometry.\n\n## Checks\n\n```json\n{\n  \"translation\": true,\n  \"composition\": true,\n  \"contraction\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T00:14:47.328739+00:00\n\n## Record provenance\n\nExact record hash: `9a9f13b160923f11b676ad608337f6b7faa0e82e18c13248089d9357490b5628`\n\nSource journal: `Research_Cycles/C0532_C0631/journal.json`", "journalDownload": "/sources/7a2e1117efc741218b68e2db8bb20eadd33cab34e00384e9b903708031da1d2d.json", "evidenceLinks": [{"id": "d-be42daca1d82dac9", "title": "File 62"}, {"id": "d-d580afd48d6e12d6", "title": "File 61"}]}