{"id": "c679", "title": "C679 — Resolve the1470 versus1475 closure", "filename": "C679.md", "role": "Research action", "step": 679, "sha256": "2ee904e9e7eb5c4dc9725eadddf47e4b24d96f5b5b7ee2d180900b3262a4bf3b", "bytes": 1233, "origins": ["C480–C1634/Research_Cycles/C0632_C0731/journal.json#C679"], "download": "/sources/2ee904e9e7eb5c4dc9725eadddf47e4b24d96f5b5b7ee2d180900b3262a4bf3b.md", "format": "md", "derived": true, "tags": ["Counts & NT"], "excerpt": "Why do the source’s scalar and coordinate closures differ by five?", "content": "# C679 — Resolve the1470 versus1475 closure\n\n## Question\n\nWhy do the source’s scalar and coordinate closures differ by five?\n\n## Inputs\n\n```json\n{\n  \"center\": 2871,\n  \"start_offsets\": [\n    -13,\n    13\n  ],\n  \"outward_arm\": \"1449/2\",\n  \"scalar_arm\": \"1449/2\"\n}\n```\n\n## Sources\n\n```json\n[\n  \"Supplement A §4.2\"\n]\n```\n\n## Opened utc\n\n2026-09-28T01:11:57.905972+00:00\n\n## Results\n\n```json\n{\n  \"scalar_total\": 1470,\n  \"coordinate_half_width\": \"1475/2\",\n  \"coordinate_endpoints\": [\n    \"7217/2\",\n    \"4267/2\"\n  ],\n  \"coordinate_total\": 1475,\n  \"Tishri_labels\": [\n    3609,\n    2134\n  ]\n}\n```\n\n## Finding\n\nP converts the scalar724.5 arm to735, giving1470. The coordinate construction instead starts13 away from center before adding724.5, giving737.5 per side and1475 overall. The five-year difference is fully accounted for by different constructions.\n\n## Reassessment\n\nReconstruct the exterior-core opening of the ten-node ladder.\n\n## Checks\n\n```json\n{\n  \"scalar\": true,\n  \"coordinate\": true,\n  \"labels\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T01:11:57.906263+00:00\n\n## Record provenance\n\nExact record hash: `2568b44913d699faf86fa9b7c21f4d19e1e9139c2ff93f4aeb2f84ebd44cc2f9`\n\nSource journal: `Research_Cycles/C0632_C0731/journal.json`", "journalDownload": "/sources/f0643e934c6a7443706351fa40040684d915ed0ae25c0f9188a4c4dba12814ff.json"}