# C1457 — Measure manuscript–mode interaction

## Question

Can manuscript change and mode change be represented by one uniform head translation?

## Sources

```json
[
  "Six primary inverse heads"
]
```

## Opened utc

2026-09-29T01:17:04.334853+00:00

## Results

```json
{
  "SP_minus_LXX_regular": 1170,
  "SP_minus_LXX_cumulative": 480,
  "difference_of_differences": 690,
  "equivalent_mode_difference": 690
}
```

## Finding

LXX→SP shifts Regular heads1170 but Cumulative heads480; the690 interaction is exactly500−(−190). A manuscript-wide constant translation would erase this source mode dependence.

## Reassessment

Look for source-named interior incidences in the stable SP cumulative branch instead.

## Checks

```json
{
  "interaction690": true
}
```

## Closed utc

2026-09-29T01:17:04.335620+00:00

## Record provenance

Exact record hash: `e6325edf9120176cab355ad78ae4b37a0295c2528d359f482430a8aa3d776616`

Source journal: `Research_Cycles/C1433_C1482/journal.json`