{"id": "c842", "title": "C842 — Separate scale, order and accumulation", "filename": "C842.md", "role": "Research action", "step": 842, "sha256": "9fb92af01ef72dc602eff756bbbf94e7c52d5108765d72c6e051c4502ec99e05", "bytes": 1248, "origins": ["C480–C1634/Research_Cycles/C0832_C0931/journal.json#C842"], "download": "/sources/9fb92af01ef72dc602eff756bbbf94e7c52d5108765d72c6e051c4502ec99e05.md", "format": "md", "derived": true, "tags": ["Rounded"], "excerpt": "Which operations commute, and which change the internal chronological field?", "content": "# C842 — Separate scale, order and accumulation\n\n## Question\n\nWhich operations commute, and which change the internal chronological field?\n\n## Inputs\n\n```json\n{}\n```\n\n## Sources\n\n```json\n[\n  \"File58 declared order and×7; C839–841\"\n]\n```\n\n## Opened utc\n\n2026-09-28T02:32:58.085858+00:00\n\n## Results\n\n```json\n{\n  \"scale_order_commutes\": true,\n  \"scale_accumulation_commutes\": true,\n  \"forward_prefix_years\": [\n    210,\n    413,\n    609,\n    798,\n    980,\n    1155,\n    1323,\n    1393\n  ],\n  \"reverse_prefix_years\": [\n    70,\n    238,\n    413,\n    595,\n    784,\n    980,\n    1183,\n    1393\n  ]\n}\n```\n\n## Finding\n\nScaling commutes with both declared reordering and accumulation. Reordering preserves the total but changes the intermediate prefix field; that distinction is the same one needed for genealogical and Rounded paths.\n\n## Reassessment\n\nConstruct the complete sex-by-purity measurement table for Esau’s ledger.\n\n## Checks\n\n```json\n{\n  \"linear_scaling\": true,\n  \"total_preserved\": true,\n  \"internal_change\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T02:32:58.086086+00:00\n\n## Record provenance\n\nExact record hash: `014b2520d366a31afb8baa60bf99cdab71294276d587139eb6fc4243b4b5e6ae`\n\nSource journal: `Research_Cycles/C0832_C0931/journal.json`", "journalDownload": "/sources/6a37be4e218f9f467cbde5e9db3723ce9c79dc78cc97d1a289422b96cb9971e0.json", "evidenceLinks": [{"id": "d-924db415dff003d2", "title": "File 58"}]}