C685 — Close the three-calendar micro triangle

Question

Do all three existing Keys yield one calibrated volume at34.5?

Inputs

{
  "seed": "69/2",
  "calendar_lengths": [
    336,
    360,
    364
  ],
  "operators": [
    "E",
    "P",
    "J"
  ]
}

Sources

[
  "Supplement A §6; C631 common calibration"
]

Opened utc

2026-09-28T01:13:12.649245+00:00

Results

{
  "converted_counts": [
    "75/2",
    35,
    "450/13"
  ],
  "calendar_volumes": [
    12600,
    12600,
    12600
  ],
  "common_volume": 12600
}

Finding

At the micro seed34.5, all three calibrated routes meet at12600:336×E(s)=360×P(s)=364×J(s). The Priestly route completes the source’s P/J comparison using the already established common-calibration identity.

Reassessment

Explain the exact twentyfold relation between the micro seed and the native690 core.

Checks

{
  "three_routes": true,
  "P_count": true,
  "E_count": true
}

Closed utc

2026-09-28T01:13:12.649489+00:00

Record provenance

Exact record hash: 2c656f9311602fd91e4ee680c5b909212683e2edf9709eb4e20b875e5be41f55

Source journal: Research_Cycles/C0632_C0731/journal.json