# Independent C272 fixed-chart image audit

24 September 2026. Exactly six positive C271 radius families, three local points per family, two inherited C268 scales and two inherited anchors. No refitting, additional date search, absolute-value matching, side reversal, C273 work, root-file edits, or upload.

## Domain and calculation

For rho=1,…,6 and delta=−1/4,0,+1/4, the local point is x=1+rho+delta. Evaluate

Phi_s,a(x)=a+s(rho+delta),

with s=1196 or1300 and a=−4419 (N02) or−4417 (N04). This gives72 image instances. All images are integers because both scales are divisible by4.

The comparison register is precisely C01’s48 reflected event pair centers, using each record’s positive BC_Nisan number as its reflected center. It contains48 distinct positive coordinates, ranging1956…3710. Negative chart images were not converted to positive numbers or matched against original BC coordinates.

## All source matches

| Anchor | Scale | rho | Input role | Image center | Frozen source identity |
|---:|---:|---:|---|---:|---|
| −4419 | 1196 | 6 | Inner seasonal component | 2458 | MT G2 Flood start |
| −4419 | 1196 | 6 | Pair center | 2757 | SP G2 companion Noah death |
| −4419 | 1196 | 6 | Outer seasonal component | 3056 | MT G1 Noah birth |
| −4419 | 1300 | 6 | Inner seasonal component | 3056 | MT G1 Noah birth |
| −4419 | 1300 | 6 | Outer seasonal component | 3706 | SP G1 primary Noah birth |
| −4417 | 1196 | 6 | Inner seasonal component | 2460 | MT G3 Flood start |
| −4417 | 1196 | 6 | Pair center | 2759 | SP G3 companion Noah death |
| −4417 | 1196 | 6 | Outer seasonal component | 3058 | MT G2 Noah birth |
| −4417 | 1300 | 6 | Inner seasonal component | 3058 | MT G2 Noah birth |
| −4417 | 1300 | 6 | Outer seasonal component | 3708 | SP G2 primary Noah birth |

There are10 matching image instances but only8 distinct matching coordinates and8 target event records. MT Noah3056 and3058 each occur twice, at the shared outer/inner stage boundary. No hit has multiple source identities in the frozen register.

The other62 image instances are62 distinct coordinates without a matching reflected event record in this register. Overall there are70 distinct coordinates among72 instances. The36 negative instances and all rho1…5 images remain generated. At rho6, the1300-scale center images3381/3383 remain the generated midpoints already identified in C268/C209.

All hits reproduce the retained C268 outer-row results. This finite scan supplies their bounded comparison against the inner five families; it adds no independent source witness.

## Exact image ranges and exclusion explanation

| rho | Minimum image | Maximum image | Source matches |
|---:|---:|---:|---:|
| 1 | −3522 | −2792 | 0 |
| 2 | −2326 | −1492 | 0 |
| 3 | −1130 | −192 | 0 |
| 4 | 66 | 1108 | 0 |
| 5 | 1262 | 2408 | 0 |
| 6 | 2458 | 3708 | 10 instances /8 records |

The rho1…3 ranges are on the wrong side for the frozen positive reflected register. Rho4 lies below its1956 minimum. At rho5, all1196-scale images and the1300-scale inner images are also below1956. The remaining rho5 values are2081/2083 and2406/2408, which do not occur in the held register. These precise finite exclusions, not a broad historical absence claim, explain the absence of lower-row hits.

## Why only the outer row supplies the shared stage boundary

For either held anchor, compare the1196-scale outer image with the1300-scale inner image at the same radius:

Phi_1196,a(1+rho+1/4)−Phi_1300,a(1+rho−1/4)
=1196rho+299−1300rho+325
=104(6−rho).

The endpoints coincide exactly at rho6. At rho1…5 the first outer image is later than the second inner image by520,416,312,208,104, respectively. The two generated intervals overlap there; they do not form the same adjacent endpoint chain as the outer row.

This is equivalent to the already established radius-ratio condition

(4rho+1)/(4rho−1)=1300/1196=25/23,

whose solution is rho6. It explains the unique stage-boundary overlap. By itself it would not exclude isolated event matches at other radii; that separate conclusion requires the full72-image register comparison above.

## Roles and scope

Input delta±1/4 points are actual local seasonal components; their integer outputs are compared with reflected target pair centers. A successful match therefore remains a phase-to-center correspondence. The target’s standard center±1/4 pair is inherited separately and is not the image of the original local half-year pair. Input delta0 is already a local pair center, with its own center-to-center image.

Matching a reflected center preserves the target’s person, tradition, Gear and primary/companion/Flood-role labels. The inherited source roles of the C271 local row are not overwritten by those target labels. Generated status is limited to absence from this frozen48-record reflected register; it is not absence from every possible chronology or textual event list.

## Review conclusion

The fixed charts select source hits only in the existing outer rho6 family: ten instances representing eight distinct target records. The two repeated Noah centers are the exact stage overlaps. Lower radii generate no new retained event matches, and the1300 outer-row centers remain generated. The overlap equation104(6−rho) gives a tight explanation of the adjacent-stage geometry while preserving the separate finite source-match audit.