The Mechanism · Gated-generation receipt

gen-define-the-circle-of-fifths-and-give-one-short-worked-exampl-14eb

stable pending witness
2026-05-29 08:38:04 UTC · anthropic/claude-sonnet-4-5

Prompt

Define the circle of fifths and give one short worked example.
62 chars

Generation

# Circle of Fifths The **circle of fifths** is a visual diagram that arranges the 12 musical keys in a circle, with each key positioned a perfect fifth interval (7 semitones) above the previous one moving clockwise, or a perfect fourth below moving counter-clockwise. **Key features:** - Shows relationships between keys - Displays key signatures (number of sharps or flats) - Adjacent keys differ by only one sharp or flat - Useful for modulation, chord progressions, and understanding key relationships ## Worked Example **Starting from C major, find the next three keys clockwise:** 1. **C major** → 0 sharps 2. Count up a perfect fifth (7 semitones): C → G **G major** → 1 sharp (F#) 3. Count up a perfect fifth from G: G → D **D major** → 2 sharps (F#, C#) 4. Count up a perfect fifth from D: D → A **A major** → 3 sharps (F#, C#, G#) Notice that each key adds one more sharp, and they accumulate in order: F#, C#, G#.
20 tokens in · 282 tokens out · 7722 ms · $0.0043

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
7728.0 ms
Base LLM
7721.6 ms
Verifiers
0.5 ms
Gates
0.1 ms
Cost
$0.0043

Trail

08:38:04 received prompt_chars=62 verifiers=['scripture_anchors', 'theology_doctrine']
08:38:04 red_gate decision=pass reason=no disqualifying input patterns detected
08:38:12 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=20 tokens_out=282 latency_ms=7721.6 cost_usd=0.0043
08:38:12 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
08:38:12 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
08:38:12 floor_gate decision=pass reason=output above protective minimum; no mismatches
08:38:12 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
08:38:12 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
08:38:12 signed hash_algo=sha256 hash=sha256:5df46cb590fa44f5cc689edb12ed85e04dc52f8ca4513ca0f6d78a301f4d6df6

Content hash

sha256:5df46cb590fa44f5cc689edb12ed85e04dc52f8ca4513ca0f6d78a301f4d6df6

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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