The Mechanism · Gated-generation receipt

gen-define-key-signatures-and-give-one-short-worked-example-557d

stable pending witness
2026-05-29 04:10:48 UTC · anthropic/claude-sonnet-4-5

Prompt

Define key signatures and give one short worked example.
56 chars

Generation

# Key Signatures ## Definition A **key signature** is a set of sharp (♯) or flat (♭) symbols placed at the beginning of a musical staff that indicates which notes should be consistently raised or lowered throughout a piece. It tells you what key the music is in. **Key points:** - Appears immediately after the clef, before the time signature - Applies to all octaves of the specified notes - Determines the scale and tonal center of the piece - Can indicate either a major key or its relative minor --- ## Worked Example **Question:** What key has 2 sharps in its key signature, and what notes are sharp? **Solution:** 1. **Identify the sharps:** The order of sharps is F♯, C♯, G♯, D♯, A♯, E♯, B♯ - With 2 sharps: **F♯ and C♯** 2. **Determine the major key:** - Rule: Go up a half-step from the last sharp - Last sharp is C♯ → up a half-step = **D major** 3. **Find the relative minor:** - Go down 3 half-steps (minor third) from D - D → C♯ → C → **B minor** **Answer:** The key signature with 2 sharps is **D major** (or **B minor**), with **F♯ and C♯** sharped.
17 tokens in · 346 tokens out · 8273 ms · $0.0052

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
8278.8 ms
Base LLM
8272.7 ms
Verifiers
0.3 ms
Gates
0.1 ms
Cost
$0.0052

Trail

04:10:48 received prompt_chars=56 verifiers=['scripture_anchors', 'theology_doctrine']
04:10:48 red_gate decision=pass reason=no disqualifying input patterns detected
04:10:56 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=17 tokens_out=346 latency_ms=8272.7 cost_usd=0.0052
04:10:56 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
04:10:56 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
04:10:56 floor_gate decision=pass reason=output above protective minimum; no mismatches
04:10:56 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
04:10:56 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
04:10:56 signed hash_algo=sha256 hash=sha256:a527111a9ea075e3b80e644b4c917a587fd5850e3c705c9c6c91becda902c50d

Content hash

sha256:a527111a9ea075e3b80e644b4c917a587fd5850e3c705c9c6c91becda902c50d

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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