The Mechanism · Gated-generation receipt

gen-in-3-4-sentences-explain-intervals-and-their-quality-state-a-0ca6

stable pending witness
2026-05-29 04:59:45 UTC · anthropic/claude-sonnet-4-5

Prompt

In 3-4 sentences, explain intervals and their quality. State any key formula.
77 chars

Generation

# Intervals and Their Quality An **interval** is the distance between two pitches, measured by counting the number of letter names (numeric size) and determining the exact distance in half steps (quality). The **quality** describes the specific size and can be **major (M), minor (m), perfect (P), augmented (A), or diminished (d)**—perfect applies to unisons, 4ths, 5ths, and octaves, while major/minor applies to 2nds, 3rds, 6ths, and 7ths. **Key formula**: To find an interval's inversion, use **(9 - original interval number)** for the numeric size, and qualities invert as: major ↔ minor, augmented ↔ diminished, and perfect stays perfect.
26 tokens in · 184 tokens out · 6142 ms · $0.0028

The four gates

RED
pass
no disqualifying input patterns detected
FLOOR
pass
output above protective minimum; no mismatches
WAY
pass
no declared way_path (Way check NA); no coercion language
EXECUTION
deferred
no witnesses available (Witness Roll not yet constituted)

Verifier results

scripture_anchors NOT_APPLICABLE
0 Scripture citation(s) extracted
theology_doctrine NOT_APPLICABLE
no doctrine keyword patterns detected

Metrics

Total latency
6148.6 ms
Base LLM
6141.5 ms
Verifiers
0.2 ms
Gates
0.0 ms
Cost
$0.0028

Trail

04:59:45 received prompt_chars=77 verifiers=['scripture_anchors', 'theology_doctrine']
04:59:45 red_gate decision=pass reason=no disqualifying input patterns detected
04:59:51 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=26 tokens_out=184 latency_ms=6141.5 cost_usd=0.0028
04:59:51 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
04:59:51 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
04:59:51 floor_gate decision=pass reason=output above protective minimum; no mismatches
04:59:51 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
04:59:51 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
04:59:51 signed hash_algo=sha256 hash=sha256:6cdbf6972a8c1a2f5f84b276522b213e6d91a40529dfe43439cac342e678aa8f

Content hash

sha256:6cdbf6972a8c1a2f5f84b276522b213e6d91a40529dfe43439cac342e678aa8f

SHA256 over the canonical JSON (excluding this field). Tamper detection. Ed25519 signing planned for v2 once the operator’s signing key is provisioned on disk.

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