# C679 — Resolve the1470 versus1475 closure

## Question

Why do the source’s scalar and coordinate closures differ by five?

## Inputs

```json
{
  "center": 2871,
  "start_offsets": [
    -13,
    13
  ],
  "outward_arm": "1449/2",
  "scalar_arm": "1449/2"
}
```

## Sources

```json
[
  "Supplement A §4.2"
]
```

## Opened utc

2026-09-28T01:11:57.905972+00:00

## Results

```json
{
  "scalar_total": 1470,
  "coordinate_half_width": "1475/2",
  "coordinate_endpoints": [
    "7217/2",
    "4267/2"
  ],
  "coordinate_total": 1475,
  "Tishri_labels": [
    3609,
    2134
  ]
}
```

## Finding

P converts the scalar724.5 arm to735, giving1470. The coordinate construction instead starts13 away from center before adding724.5, giving737.5 per side and1475 overall. The five-year difference is fully accounted for by different constructions.

## Reassessment

Reconstruct the exterior-core opening of the ten-node ladder.

## Checks

```json
{
  "scalar": true,
  "coordinate": true,
  "labels": true
}
```

## Closed utc

2026-09-28T01:11:57.906263+00:00

## Record provenance

Exact record hash: `2568b44913d699faf86fa9b7c21f4d19e1e9139c2ff93f4aeb2f84ebd44cc2f9`

Source journal: `Research_Cycles/C0632_C0731/journal.json`