{"id": "c1496", "title": "C1496 — Check the whole-span alternative", "filename": "C1496.md", "role": "Research action", "step": 1496, "sha256": "749b02361c7c930ac7fbd75cb66eb9ce1633ee43216b2bf065e115edb2eac30a", "bytes": 822, "origins": ["C480–C1634/Research_Cycles/C1483_C1582/c1483_c1582/journal.json#C1496"], "download": "/sources/749b02361c7c930ac7fbd75cb66eb9ce1633ee43216b2bf065e115edb2eac30a.md", "format": "md", "derived": true, "tags": [], "excerpt": "Would expanding all 12530 years by 70/69 reproduce the same total?", "content": "# C1496 — Check the whole-span alternative\n\n## Question\n\nWould expanding all 12530 years by 70/69 reproduce the same total?\n\n## Sources\n\n```json\n[\n  \"Strategy.md §5C\"\n]\n```\n\n## Opened utc\n\n2026-09-29T02:27:50.284677+00:00\n\n## Results\n\n```json\n{\n  \"whole_expansion\": \"877100/69\",\n  \"excess_over12600\": \"7700/69\",\n  \"extra_gain_on7700\": \"7700/69\"\n}\n```\n\n## Finding\n\nWhole-span expansion exceeds 12600 by 7700/69; the successful relation is explicitly a local Key action.\n\n## Reassessment\n\nRead the source’s two 1260 decompositions before their tenfold placement.\n\n## Checks\n\n```json\n{}\n```\n\n## Closed utc\n\n2026-09-29T02:27:50.284860+00:00\n\n## Record provenance\n\nExact record hash: `636b9ad468f928e1f446e4b5d3ace4e1ee4930b958a3d572c4d7dbfcc979a26a`\n\nSource journal: `Research_Cycles/C1483_C1582/c1483_c1582/journal.json`", "journalDownload": "/sources/7241bc8dee3ba293341214bcb88dc4f80832f7d0207eb9e07f9364c06d3847c8.json"}