The Mechanism · Gated-generation receipt

gen-in-3-4-sentences-explain-the-overtone-series-state-any-key-f-4efd

stable pending witness
2026-05-29 05:10:51 UTC · anthropic/claude-sonnet-4-5

Prompt

In 3-4 sentences, explain the overtone series. State any key formula.
69 chars

Generation

The overtone series is the sequence of higher frequencies that naturally occur when a musical note is played, consisting of integer multiples of a fundamental frequency. When you play a note with fundamental frequency *f*, it produces overtones at frequencies 2*f*, 3*f*, 4*f*, and so on, which can be expressed as **f_n = n × f** where *n* is a positive integer. These overtones blend together to create the timbre or tone color that distinguishes one instrument from another. The relative strengths of different overtones determine why a violin sounds different from a flute even when playing the same pitch.
26 tokens in · 138 tokens out · 7683 ms · $0.0021

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
7692.6 ms
Base LLM
7683.5 ms
Verifiers
0.2 ms
Gates
0.0 ms
Cost
$0.0021

Trail

05:10:51 received prompt_chars=69 verifiers=['scripture_anchors', 'theology_doctrine']
05:10:51 red_gate decision=pass reason=no disqualifying input patterns detected
05:10:59 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=26 tokens_out=138 latency_ms=7683.5 cost_usd=0.0021
05:10:59 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
05:10:59 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
05:10:59 floor_gate decision=pass reason=output above protective minimum; no mismatches
05:10:59 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
05:10:59 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
05:10:59 signed hash_algo=sha256 hash=sha256:8be90de565b54d510fdbc29a0bf8338b45420ce3d98e560e9137ed13fe9bc81b

Content hash

sha256:8be90de565b54d510fdbc29a0bf8338b45420ce3d98e560e9137ed13fe9bc81b

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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