{"id": "c535", "title": "C535 — One coincidence law spans both studies", "filename": "C535.md", "role": "Research action", "step": 535, "sha256": "43e72d680faf095da807a1fe5e617fd675ed4ee579cca5ccb678dad975109409", "bytes": 1388, "origins": ["C480–C1634/Research_Cycles/C0532_C0631/journal.json#C535"], "download": "/sources/43e72d680faf095da807a1fe5e617fd675ed4ee579cca5ccb678dad975109409.md", "format": "md", "derived": true, "tags": ["Inverse", "Calendar Keys", "Covenant"], "excerpt": "Are1566 and2926 instances of the same calendar-measure condition?", "content": "# C535 — One coincidence law spans both studies\n\n## Question\n\nAre1566 and2926 instances of the same calendar-measure condition?\n\n## Inputs\n\n```json\n{\n  \"Covenant_radii\": [\n    276,\n    299\n  ],\n  \"Actual_field_radii\": [\n    8372,\n    8970\n  ],\n  \"year_lengths\": [\n    336,\n    360,\n    364\n  ]\n}\n```\n\n## Sources\n\n```json\n[\n  \"File60 §5\",\n  \"File52c §3.15\",\n  \"C500,C502\"\n]\n```\n\n## Opened utc\n\n2026-09-27T23:59:48.896535+00:00\n\n## Results\n\n```json\n{\n  \"Covenant_radius_ratio\": \"13/12\",\n  \"E_over_J\": \"13/12\",\n  \"Actual_radius_ratio\": \"15/14\",\n  \"E_over_P\": \"15/14\",\n  \"normalized_Covenant\": [\n    \"23/28\",\n    \"23/28\"\n  ],\n  \"normalized_Actual\": [\n    \"299/12\",\n    \"299/12\"\n  ],\n  \"general_rule\": \"K_d(s)=K*s/d; equal outputs iff s1/d1=s2/d2\"\n}\n```\n\n## Finding\n\nThe13:12 Covenant pair and15:14 Actual pair express the same normalized-measure equality under different calendar lengths. This unifies their calculation while leaving the supplied radii and held anchors as separate placement facts.\n\n## Reassessment\n\nTrace the161 spine to the biographical equality that generates it.\n\n## Checks\n\n```json\n{\n  \"Covenant\": true,\n  \"Actual\": true,\n  \"normalized\": true\n}\n```\n\n## Closed utc\n\n2026-09-27T23:59:48.896767+00:00\n\n## Record provenance\n\nExact record hash: `4a1d7235215c36b288c4bc0c183ad95bab391a6ce4e57b5620332be02e47447e`\n\nSource journal: `Research_Cycles/C0532_C0631/journal.json`", "journalDownload": "/sources/7a2e1117efc741218b68e2db8bb20eadd33cab34e00384e9b903708031da1d2d.json", "evidenceLinks": [{"id": "file52c", "title": "File 52c"}, {"id": "d-12a48221b7fdcdcd", "title": "File 60"}]}