Research action

Three-row E pattern versus the rectangle selector

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Study sequence: Anchored harmonic ladders, 598→600 repairs and paired P/J (C334–C373) · Mirror & 529

490d C358 — Three-row E pattern and529 selector control

24 September 2026. Step 5 of 10 in the C354–C363 authorization.

The three-row structure does not select the rectangle’s paired endpoint choice. It occurs in nine admitted primary C319 controls across00,02,20,22. These are the same nine primary controls that can reach600 when already-valid600 inputs are allowed in C352.

Added requirementSurviving controls
Local three-row E structure00:i3,i5,i7;02:i3,i5;20:i3,i5;22:i3,i5
Its same-Gear MT Flood input equals R00:i3,i5,i7;20:i3,i5
Original regular side is2K02:i3,i5;22:i3,i5
Original complete all-K rectangle22:i3,i5

The distinction follows directly from R=F_same+b. The new Flood-held E arrow uses F_same, giving N−F_same=1060. The original529 side requires b=2 and gives N−R=1058. Thus forcing those two Flood roles to be identical would select b=0, incompatible with the original2K side. Both source comparisons remain valid when their endpoints are kept distinct.

This is a useful negative selector result. A local source pattern cannot silently supply the missing rule coupling cumulative a with regular b. The existing all-K criterion still leaves the two primary22 controls; neither this census nor repeated source translations establishes that criterion as a textual prescription.

The distinction also suggests a more direct connection. The original primary side is460+598=1058. The two established local ratios send those legs to500 and600, which are exactly SP Noah→Shem birth and Shem birth→death. A continuous two-segment comparison can therefore be tested against actual source endpoints, without equating the two Flood nodes.

Verification and limits

38 main checks and 16 frozen-input/predecessor authentication checks passed. A second main replay produced byte-identical DATA/RESULTS. These checks and the source interpretation were performed by the root agent; no new independent-agent review is claimed. All frozen originals and standing controls remain unchanged. Verification counts are not independent-witness counts.

The local three-row pattern is not a source-prescribed selector. Extra identifications are explicit added conditions and must not be silently combined with the original rectangle.

Mirror/529 focus: K=529, E=25/23, P=70/69. Global paired Mirror January AD1; local junction January AD2; no civil year zero. Regular Gears are Noah/Shem/Flood only. SP minus-one person companions remain local to SP Noah/Shem; Flood close is a separate boundary. No upstream/cumulative Gear, new endpoint or phase, fitted anchor, global axis, primer reopening, canonical or graph edit. Capture now; canonize later. Source identity, context, modal binding, generated coordinates and phase ancestry stay distinct.

Decision after this result

C359, proposed and unexecuted: Test the source realization of the two-segment comparison460+598→500+600: apply E to the Noah-to-MT-Noah leg and300/299 to the following598 gap, keeping the join continuous and checking the resulting SP Shem birth/death endpoints.

The failed endpoint identification reveals the exact two-year distinction. The original partition and the established two ratios now give a concrete, finite source-endpoint construction to test.

Edition and provenance

490d_C358_Three_Row_E_Pattern_and_529_Selector_Control_20260924.md

SHA-256 2ba6e26c303366fc9f965d5537e29f1601dabfdc1e920f36119571de9a928c84

C01–C479/packets/C358/490d_C358_Three_Row_E_Pattern_and_529_Selector_Control_20260924.md