{"id": "c429", "title": "Complete harmonic endpoints of all source 2K pairs", "filename": "490d_C429_Complete_Harmonic_Endpoints_of_All_Source_2K_Pairs_20260924.md", "role": "Research action", "step": 429, "sha256": "b85bae1f24d97a663e78154c6413d0ab3342e635e9f86532937412003bf9be19", "bytes": 3998, "origins": ["C01–C479/packets/C429/490d_C429_Complete_Harmonic_Endpoints_of_All_Source_2K_Pairs_20260924.md"], "download": "/sources/b85bae1f24d97a663e78154c6413d0ab3342e635e9f86532937412003bf9be19.md", "format": "md", "derived": false, "tags": ["Regular", "Cumulative", "Calendar Keys", "Mirror / 529"], "excerpt": "490d C429 — Complete harmonic endpoints of all source 2K pairs\n\n24 September 2026. Step 6 of10, C424–C433.\n\nThe complete104-trial inventory has 13 sourced E outputs and13 sourced E² outputs. No P or J output belongs to the integer-coordinate source menu. Only four squared-E cases have a sourced intermediate as well as ", "content": "# 490d C429 — Complete harmonic endpoints of all source 2K pairs\n\n24 September 2026. Step 6 of10, C424–C433.\n\nThe complete104-trial inventory has **13 sourced E outputs and13 sourced E² outputs**. No P or J output belongs to the integer-coordinate source menu. Only four squared-E cases have a sourced intermediate as well as a sourced endpoint.\n\n| Family | Held upper coordinates | Sourced result |\n|---|---|---|\n| T1 primary Noah |3491,3493,3706,3708|Complete E then E ladders through MT Shem birth to MT Flood start|\n| T1 companion Noah |3490,3492,3705,3707|E² endpoints; E intermediates absent|\n| T1 Shem |2991,2993,3206,3208|E² endpoints at MT Shem death; E intermediates absent|\n| T2 Flood |2951,2953,3081,3083,3166,3168,3296,3298|One E step to sourced MT Shem death|\n| T3 Flood |3298,3300|One E step to sourced MT Shem death|\n| T4 companion Noah |3899|E² endpoint2649; intermediate2749 absent|\n\nT2 and T3 share the3298/2240 coordinate case, so their ten template entries give nine distinct Flood-held E arrows. Their outputs are1801,1803,1931,1933,2016,2018,2146,2148 and2150. Every input gap1058 becomes1150 under E, and each output is92 below its input.\n\nThe four complete ladders are3491:2433→2341→2241;3493:2435→2343→2243;3706:2648→2556→2456;3708:2650→2558→2458. These belong to the prior Noah-held ladder family; completeness here does not make them new discoveries. The other nine squared-E cases remain endpoint comparisons with absent intermediates.\n\nEvery output record label is retained, including aliases at2240 and2455. For example, the companion Noah3705 squared-E output2455 is both MT Flood close and SP-primary/LXX Shem death under different contexts. An endpoint coordinate does not choose one of those identities automatically.\n\nP and J give nonintegral outputs because1058×70/69=3220/3 and1058×300/299=13800/13. These fixed-upper gap calculations are diagnostic comparisons; they do not grant all held source roles a prescribed operator or turn J into a calendar map.\n\nThe nine Flood-held E arrows are the most useful new positive result. Their source-context formula and the T2/T3 overlap now deserve a focused check, especially at the top available Gear.\n\n## Verification and scope\n\n130 calculation checks and 15 source/predecessor authentication checks passed. A separate main replay is byte-identical. Root-agent analysis and replay; no new independent-agent review is claimed. Verification counts are not independent historical witnesses.\n\nThe inventory is fixed-upper gap scaling over existing source pairs. Sourced endpoints and complete source paths remain distinct from a protocol prescription; the four known complete Noah ladders are retained prior results.\n\nMirror/529 focus: K=529, E=25/23, P=70/69; J=300/299 remains File02 gap conversion, not a calendar date operator or Residue Protocol. Regular Gears are Noah/Shem/Flood only. SP person companions are local to Noah/Shem; Flood close is an independent event boundary. Both500/100 and502/98 bindings remain valid; SP primary Noah death retains its inclusive/harmonic qualification. LXX native Cainan is ON; OFF is theoretical removal. Global paired Mirror January AD1; local junction January AD2; no civil year zero. No new source point, phase, fitted axis, upstream/cumulative Gear, primer reopening or canonical/graph edit. Capture now; canonize later. Coordinates, source labels, context aliases and derived comparisons remain distinct. Counts are not independent historical witnesses.\n\n## Decision after this result\n\n**C430, proposed and unexecuted:** Derive the source-context rule for the nine Flood-held E arrows. Test how T2 and T3 meet at2240 and whether their upper three-Gear strip preserves one input role or requires a qualified role change at its boundary.\n\nThe harmonic census exposed a coherent positive Flood-held family. Its source identity and finite Gear boundary are more informative to resolve next than treating nine coordinate arrows as unrelated matches.\n", "evidenceLinks": [{"id": "d-24203a4c3b282f9b", "title": "File 02"}]}