{"id": "c761", "title": "C761 — Resolve SP counting before rounding", "filename": "C761.md", "role": "Research action", "step": 761, "sha256": "5f3b3b55a13fa73ae261c08fda5a268d1c2e13ecafaf7f1b0759b6328320890e", "bytes": 1047, "origins": ["C480–C1634/Research_Cycles/C0732_C0831/journal.json#C761"], "download": "/sources/5f3b3b55a13fa73ae261c08fda5a268d1c2e13ecafaf7f1b0759b6328320890e.md", "format": "md", "derived": true, "tags": ["Regular", "Rounded", "Counts & NT"], "excerpt": "How does the local 53rd-year versus 52-completed distinction affect rounding?", "content": "# C761 — Resolve SP counting before rounding\n\n## Question\n\nHow does the local 53rd-year versus 52-completed distinction affect rounding?\n\n## Inputs\n\n```json\n{\n  \"counted\": 53,\n  \"completed\": 52\n}\n```\n\n## Sources\n\n```json\n[\n  \"File18 §3.1; File51a §17\"\n]\n```\n\n## Opened utc\n\n2026-09-28T01:56:00.820809+00:00\n\n## Results\n\n```json\n{\n  \"Q53\": 55,\n  \"Q52\": 50,\n  \"raw_separation\": 1,\n  \"rounded_separation\": 5,\n  \"round_then_subtract_one\": 54\n}\n```\n\n## Finding\n\nThe raw one-unit distinction becomes a five-unit rounding distinction:55 versus50. Rounding then subtracting one gives54, a different construction. Counting convention must be resolved at the input.\n\n## Reassessment\n\nTest the complete SP regular diagnostic while keeping its source status conditional.\n\n## Checks\n\n```json\n{\n  \"five\": true,\n  \"noncommuting\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T01:56:00.821141+00:00\n\n## Record provenance\n\nExact record hash: `a9cfe22e1e6082c99daa97a8290c6659d880f51e26ef97c12ddc1de734b5dc4f`\n\nSource journal: `Research_Cycles/C0732_C0831/journal.json`", "journalDownload": "/sources/8ea2b882289fbcea5cf11177923617f0c1d1ad7e6eaa3bffb174c6f89699d97d.json", "evidenceLinks": [{"id": "d-68301ab760bfbe2e", "title": "File 18"}, {"id": "d-d8aa38afb2a2df8f", "title": "File 51a"}]}