# 📐  L2 Spec — Structural Vibration Analysis — modal response Mismatch-Only Spec

**ID:** `L2-266-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-266`](/artifact/l1/L1-266)

> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.48 · **Delta tier:** 5
> **⛓ On-chain block:** 41554053

---

## 1. Domain Ω

**Type:** `range`

| Parameter | Unit | Range |
|---|---|---|
| N dof | — | 100 – 200000 |
| Snr db | dB | 0 – 40 |
| N modes | — | 3 – 200 |
| N sensors | — | 4 – 256 |
| Mass error | — | 0.0 – 0.1 |
| Freq hz max | — | 10 – 50000 |
| Damping error | — | 0.0 – 0.5 |
| Boundary error | — | 0.0 – 0.3 |
| Stiffness error | — | 0.0 – 0.1 |

## 2. Tolerance (ε)

**Type:** `fn`

```
1.0 + 50.0*stiffness_error + 50.0*mass_error + 10.0*boundary_error - 0.02*SNR_dB
```

## 3. Difficulty

| Property | Value |
|---|---|
| Difficulty score | 0.48 |
| Delta tier | 5 |

## 4. Fingerprint

`d8dc2862e5f26c7c2db4836ecb43dbae265f17aa0ab58d8415ba62a51c356c45`

## 5. On-chain Registration

- **Chain hash:** `0x1fbfda95799ee08396f8675b9b94919f95014a4f95ad338a4ce58cb4473f391e`
- **Chain tx hash:** `0xd34a98760305f627488c68946776158ae134a9fb10f2c9968b40b28a35fea4fd`
- **Chain block:** `41554053`

---

## File Mapping

This bundle consists of: `L2-266-001.md`, `L2-266-001.json`.

| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-266-001.md` | Source of truth — edit this | Human or LLM |
| `L2-266-001.json` | Structured metadata for the registry | LLM regenerates from the sections above |

**Prompt for your LLM after editing this Markdown:**

> Read the attached Markdown. Regenerate the sibling `.json` so every field matches.
> Preserve the schema documented in the rows above.
> Output each file in its own fenced code block tagged with the filename.
> Output only the JSON object.

_This Markdown was auto-synthesized from the catalog row for `L2-266-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._