# C1020 — NT free metric family

## Question

What remains undetermined by the paired Key knot?

## Inputs

```json
{}
```

## Sources

```json
[
  "C1019"
]
```

## Opened utc

2026-09-28T03:59:41.952924+00:00

## Results

```json
{
  "kernel": [
    [
      69,
      1
    ]
  ],
  "metric_family": "w=69u",
  "free_metric_dimensions": 1,
  "scale_selected_by_knot_alone": false
}
```

## Finding

The knot fixes a ratio w:u=69:1 while leaving one metric scale free. Two arrows illustrate one constraint.

## Reassessment

Add the supplied BJ trunk length and slot count.

## Checks

```json
{
  "kernel": true,
  "one_free_scale": true
}
```

## Closed utc

2026-09-28T03:59:41.953569+00:00

## Record provenance

Exact record hash: `eeb41520f8987d40809517a458ab46027973a4c46cb2c4bb0262101d4677f5c4`

Source journal: `Research_Cycles/C0932_C1131/journal.json`