The Mechanism · Gated-generation receipt

gen-in-3-4-sentences-explain-consonance-and-dissonance-state-any-9d51

stable pending witness
2026-05-29 05:18:45 UTC · anthropic/claude-sonnet-4-5

Prompt

In 3-4 sentences, explain consonance and dissonance. State any key formula.
75 chars

Generation

# Consonance and Dissonance **Consonance** refers to stable, pleasant-sounding combinations of notes that create a sense of rest or resolution, while **dissonance** refers to unstable, tense-sounding combinations that create a desire for resolution. Consonant intervals include perfect fifths, octaves, and major/minor thirds, whereas dissonant intervals include seconds, sevenths, and tritones. **Key formula**: The **frequency ratio** determines consonance—simpler ratios produce more consonant sounds (e.g., octave = 2:1, perfect fifth = 3:2), while complex ratios produce dissonance (e.g., tritone ≈ 45:32). This relationship explains why certain intervals sound stable or unstable to the human ear.
28 tokens in · 179 tokens out · 4667 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
4674.0 ms
Base LLM
4666.8 ms
Verifiers
0.2 ms
Gates
0.0 ms
Cost
$0.0028

Trail

05:18:45 received prompt_chars=75 verifiers=['scripture_anchors', 'theology_doctrine']
05:18:45 red_gate decision=pass reason=no disqualifying input patterns detected
05:18:50 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=28 tokens_out=179 latency_ms=4666.8 cost_usd=0.0028
05:18:50 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
05:18:50 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
05:18:50 floor_gate decision=pass reason=output above protective minimum; no mismatches
05:18:50 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
05:18:50 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
05:18:50 signed hash_algo=sha256 hash=sha256:3c67ddfada6a09d5c5f9fcda83652fa3a3a48a7091d4b554ad4f6b9c2f4fa6a7

Content hash

sha256:3c67ddfada6a09d5c5f9fcda83652fa3a3a48a7091d4b554ad4f6b9c2f4fa6a7

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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