{"id": "c564", "title": "C564 — Relate the Isaac partition to calendar calibration", "filename": "C564.md", "role": "Research action", "step": 564, "sha256": "9dfbd70072a751876170012db7c546a86e13f8506fc6115771b8d80bc23d1726", "bytes": 1045, "origins": ["C480–C1634/Research_Cycles/C0532_C0631/journal.json#C564"], "download": "/sources/9dfbd70072a751876170012db7c546a86e13f8506fc6115771b8d80bc23d1726.md", "format": "md", "derived": true, "tags": ["Cumulative", "Calendar Keys"], "excerpt": "Does the11760/840/12600 family use an existing ratio?", "content": "# C564 — Relate the Isaac partition to calendar calibration\n\n## Question\n\nDoes the11760/840/12600 family use an existing ratio?\n\n## Inputs\n\n```json\n{\n  \"head\": 14006,\n  \"translated_Isaac\": 2246,\n  \"Conquest\": 1406\n}\n```\n\n## Sources\n\n```json\n[\n  \"File61 §§17.3–17.7\"\n]\n```\n\n## Opened utc\n\n2026-09-28T00:15:20.549814+00:00\n\n## Results\n\n```json\n{\n  \"partition\": [\n    11760,\n    840,\n    12600\n  ],\n  \"units_of35\": [\n    336,\n    24,\n    360\n  ],\n  \"whole_over_upper\": \"15/14\",\n  \"E_over_P\": \"15/14\"\n}\n```\n\n## Finding\n\nThe Isaac macro partition is35 copies of336+24=360. Its15/14 completion ratio is exactly E/P, connecting the cumulative partition to the existing calendar calibration.\n\n## Reassessment\n\nCheck which part survives an exact common phase shift.\n\n## Checks\n\n```json\n{\n  \"partition\": true,\n  \"ratio\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T00:15:20.550013+00:00\n\n## Record provenance\n\nExact record hash: `779251c69568750f1b0bb7718a137e51853e4457bd618c496b209b70183bdad5`\n\nSource journal: `Research_Cycles/C0532_C0631/journal.json`", "journalDownload": "/sources/7a2e1117efc741218b68e2db8bb20eadd33cab34e00384e9b903708031da1d2d.json", "evidenceLinks": [{"id": "d-d580afd48d6e12d6", "title": "File 61"}]}