{"id": "c279", "title": "The598 triangle joins8395 to17K", "filename": "490d_C279_598_Triangle_8395_17K_20260924.md", "role": "Research action", "step": 279, "sha256": "c91e5e0626470086fe74a739e97f864bf40019f6cd2ff44711b7a0597442cb48", "bytes": 2695, "origins": ["C01–C479/packets/C279/490d_C279_598_Triangle_8395_17K_20260924.md"], "download": "/sources/c91e5e0626470086fe74a739e97f864bf40019f6cd2ff44711b7a0597442cb48.md", "format": "md", "derived": false, "tags": ["Regular", "Cumulative", "Mirror / 529"], "excerpt": "C279 — The 598 triangle joins 8395 to 17K\n\n24 September 2026. Selected after the finite-domain result of C278.\n\nAll six documented8395 comparisons share their regular Flood endpoints with the retained8993=17K Shem comparisons. The exact closing side is598. This supplies a source-tagged connection between two existing w", "content": "# C279 — The 598 triangle joins 8395 to 17K\n\n24 September 2026. Selected after the finite-domain result of C278.\n\n**All six documented8395 comparisons share their regular Flood endpoints with the retained8993=17K Shem comparisons. The exact closing side is598.** This supplies a source-tagged connection between two existing width families, without changing any translation or chart calibration.\n\nFor j=2,…,7, define signed cumulative Shem B_j=−5890+j, its cross-index cumulative Flood partner A_(j−2)=−5292+j, and reflected regular SP Flood R_j=3103+j. Then\n\nB_j → A_(j−2) → R_j has widths598 and8395, while B_j → R_j has width8993. Thus598+8395=8993=17K, with8395=23×365.\n\n|j|Shem signed|Flood partner signed|Regular Flood|Widths|\n|---:|---:|---:|---|---|\n|2|−5888|−5290|G1 close3105|598+8395=8993|\n|3|−5887|−5289|G1 start3106|same|\n|4|−5886|−5288|G2 close3107|same|\n|5|−5885|−5287|G2 start3108|same|\n|6|−5884|−5286|G3 close3109|same|\n|7|−5883|−5285|G3 start3110|same|\n\nThe six8395 source rows were read from the retained bilateral report, not inferred solely from the desired sum. Their Gear, start/close role and coordinate agree with C271's fixed register. Both physical seasonal components commute around each triangle: adding598 then8395 reaches the same component as adding8993.\n\nC277 had only four complete regular Noah/Flood crosspairs because the lower two Noah partners were missing. This triangle needs no Noah counterpart. Its intermediate is the already retained cumulative Flood boundary, so all six triangles remain valid. This is why source roles and domains cannot be replaced by untyped coordinates.\n\nThe triangle is a comparison of admitted endpoints. C127 already stores selected598 and17K relations, but this result does not certify six new directed graph paths or amend that graph. The six rows are translates of one coordinate pattern and are not six independent witnesses for historical intentionality.\n\nThe result also leaves the C276 placement distinction intact. Fixed source widths now connect8395 to17K, but they do not compel the local image-alignment premise or the absolute5290 translation. They strengthen the source account of the construction.\n\nTwenty-seven mathematical/domain checks and eight source-authentication checks pass; two readouts reproduce identically. Author review only. No canonical source or graph change.\n\n**Best next bounded step — C280:** test whether the whole tagged triangle survives the bilateral report's second realization: cumulative LXX ON paired with regular MT Cainan ON, Terah+60, full430. Preserve the distinct operations that supply the equal460 displacement. High is sufficient.\n"}