# C585 — Execute the local Tishri/Nisan phase rule

## Question

Can one half-year coordinate convention reproduce the source examples?

## Inputs

```json
{
  "n": "Y",
  "t": "Y−1/2",
  "examples": [
    [
      1450,
      1446
    ],
    [
      970,
      966
    ]
  ]
}
```

## Sources

```json
[
  "File12 §§6.1–6.3; File63 phase controls"
]
```

## Opened utc

2026-09-28T00:20:19.943001+00:00

## Results

```json
{
  "phase_spans_years": [
    "7/2",
    3,
    "7/2"
  ],
  "separate_units": [
    "0.5-year calendar phase",
    "3.5-year Aaron/Moses offset",
    "3.5-day liturgical projection"
  ]
}
```

## Finding

The local rule t(Y)=Y−0.5 reproduces3.5,3 and3.5-year examples. Equal printed magnitudes across phase offsets and liturgical days do not supply a unit conversion.

## Reassessment

Reduce calendar comparisons to a common normalized measure.

## Checks

```json
{
  "examples": true
}
```

## Closed utc

2026-09-28T00:20:19.943344+00:00

## Record provenance

Exact record hash: `40910aff11dc7f25c0243d36c65c1bc2623121ef0d282ab407be385cb8dd4c08`

Source journal: `Research_Cycles/C0532_C0631/journal.json`