# 📐  L2 Spec — Room Acoustics — ray-tracing impulse response Mismatch-Only Spec

**ID:** `L2-259-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-259`](/artifact/l1/L1-259)

> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.48 · **Delta tier:** 5
> **⛓ On-chain block:** 41554039

---

## 1. Domain Ω

**Type:** `range`

| Parameter | Unit | Range |
|---|---|---|
| H m | m | 2 – 20 |
| L m | m | 2 – 50 |
| T s | s | 0.1 – 5.0 |
| W m | m | 2 – 50 |
| N rays | — | 10000 – 2000000 |
| Fs khz | kHz | 8 – 96 |
| Geometry error | — | 0.0 – 0.05 |
| Absorption error | — | 0.0 – 0.3 |
| Src rec pos error | — | 0.0 – 0.1 |
| Diffraction unresolved | — | 0.0 – 0.2 |

## 2. Tolerance (ε)

**Type:** `fn`

```
16.0 + 2.0*log10(N_rays/10000) - 20.0*absorption_error - 15.0*geometry_error
```

## 3. Difficulty

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

## 4. Fingerprint

`2f076995f251c122c157516ebaa91ba16440f745ca6474dea7f073aac94b87f9`

## 5. On-chain Registration

- **Chain hash:** `0x048eccceec355042770020cbc188a27d76895209f050d199e37bf63b7bfa49ea`
- **Chain tx hash:** `0x875bad7aa81f65427bce1cec9911824ed89a97eed902e99238276bd0e10626a9`
- **Chain block:** `41554039`

---

## File Mapping

This bundle consists of: `L2-259-001.md`, `L2-259-001.json`.

| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-259-001.md` | Source of truth — edit this | Human or LLM |
| `L2-259-001.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 `L2-259-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._