{"id": "c549", "title": "C549 — The458640 comparison reuses calendar measure", "filename": "C549.md", "role": "Research action", "step": 549, "sha256": "367f03ec02fc18377039ffae68ed201bd73561948e3d13e1c14dd0caeec8b3f8", "bytes": 1427, "origins": ["C480–C1634/Research_Cycles/C0532_C0631/journal.json#C549"], "download": "/sources/367f03ec02fc18377039ffae68ed201bd73561948e3d13e1c14dd0caeec8b3f8.md", "format": "md", "derived": true, "tags": ["Calendar Keys", "Mirror / 529"], "excerpt": "Which parts of the637×720 identity follow from existing calendar factors?", "content": "# C549 — The458640 comparison reuses calendar measure\n\n## Question\n\nWhich parts of the637×720 identity follow from existing calendar factors?\n\n## Inputs\n\n```json\n{\n  \"whole_year_Abraham_Aaron\": 637,\n  \"Abraham_Exodus\": 720,\n  \"imported_counts\": [\n    602640,\n    144000\n  ],\n  \"previous_seed\": 12558\n}\n```\n\n## Sources\n\n```json\n[\n  \"File60 §8.5\",\n  \"C500; File63 §9.7 by preparation\"\n]\n```\n\n## Opened utc\n\n2026-09-28T00:05:54.197037+00:00\n\n## Results\n\n```json\n{\n  \"chronological_factors\": [\n    637,\n    720\n  ],\n  \"products\": [\n    458640,\n    458640,\n    458640\n  ],\n  \"imported_remainder\": 458640,\n  \"prior_calendar_volume\": 4586400,\n  \"numerical_ratio\": 10,\n  \"exact_phase_diagnostic\": \"1273/2\"\n}\n```\n\n## Finding\n\nThe637×720 product equals1260×364 and1274×360; the prior12558 calendar volume is numerically ten times this458640 scalar. This joins the factor systems without identifying their units. The637 factor uses Aaron’s whole-year1529 display; exact1529.5 gives636.5 and must remain distinct.\n\n## Reassessment\n\nReconstruct the1470 restoration span as the source placement behind the588000 refactorization.\n\n## Checks\n\n```json\n{\n  \"products\": true,\n  \"remainder\": true,\n  \"scale\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T00:05:54.197337+00:00\n\n## Record provenance\n\nExact record hash: `b0fd2bb40851a2d8f4e95c6e213ca52cee7c9bc4356c828a4fa0cfd6ce5c2577`\n\nSource journal: `Research_Cycles/C0532_C0631/journal.json`", "journalDownload": "/sources/7a2e1117efc741218b68e2db8bb20eadd33cab34e00384e9b903708031da1d2d.json", "evidenceLinks": [{"id": "d-180803601a2db301", "title": "File 63"}, {"id": "d-12a48221b7fdcdcd", "title": "File 60"}]}