{"id": "c518", "title": "C518 — The330 interface between source row and rounded geometry", "filename": "C518.md", "role": "Research action", "step": 518, "sha256": "10e68151da01f588ccdce604008a3b788b880d03d176a6b3243ea4ced7975cd5", "bytes": 1457, "origins": ["C480–C1634/Research_Cycles/C0482_C0531/journal.json#C518"], "download": "/sources/10e68151da01f588ccdce604008a3b788b880d03d176a6b3243ea4ced7975cd5.md", "format": "md", "derived": true, "tags": ["Cumulative", "Rounded", "Inverse", "Calendar Keys"], "excerpt": "What does the shared330 explain, and what does it leave as source placement?", "content": "# C518 — The330 interface between source row and rounded geometry\n\n## Question\n\nWhat does the shared330 explain, and what does it leave as source placement?\n\n## Inputs\n\n```json\n{\n  \"Cainan_b\": 130,\n  \"Cainan_remainder\": 330,\n  \"Cainan_lifespan\": 460,\n  \"trio_outer_width\": 7590\n}\n```\n\n## Sources\n\n```json\n[\n  \"Strategy §§3.2,4.4\",\n  \"File52c §3.12\",\n  \"C488,C516–C517\"\n]\n```\n\n## Opened utc\n\n2026-09-27T22:49:45.247059+00:00\n\n## Results\n\n```json\n{\n  \"cross_mode_bridge_increment\": 330,\n  \"trio_width_in_remainders\": 23,\n  \"expanded_width\": 8250,\n  \"gain_in_remainders\": 2,\n  \"relations\": [\n    \"inserting the row changes C−R by330\",\n    \"supplied inverse trio has width23*330\",\n    \"E sends23*330 to25*330\"\n  ]\n}\n```\n\n## Finding\n\nThe same remainder measures the difference between Cainan’s two chronological projections and the trio’s23→25 width unit. This is a concrete interface between genealogical and rounded/calendar modules. The source inversions supplying23 copies are an additional placement fact; the row identity alone cannot predict them.\n\n## Reassessment\n\nTest the countdown’s460/430 pair as another reuse of the calendar module.\n\n## Checks\n\n```json\n{\n  \"remainder\": true,\n  \"width\": true,\n  \"gain\": true\n}\n```\n\n## Closed utc\n\n2026-09-27T22:49:45.247690+00:00\n\n## Record provenance\n\nExact record hash: `a2abb5600a9a91f3fb5abb6e7f515d545f8f7d41abd5eee2ea116a18ee64938f`\n\nSource journal: `Research_Cycles/C0482_C0531/journal.json`", "journalDownload": "/sources/6eaeccad4734eff2f6ac20ba847967877b944f9758c53c712ac8b5be2ddf61eb.json", "evidenceLinks": [{"id": "file52c", "title": "File 52c"}]}