# Euclidean Rhythm — Randomly

> k onsets spread as evenly as possible across n steps — which is most of the world’s rhythms. One of 63 generators at [Randomly](https://randomly.cluxnei.dev), a library of random generators seeded from verifiable real-world entropy. Free HTTP API, no key, no signup.

## `audio.rhythm` — Euclidean Rhythm

k onsets spread as evenly as possible across n steps — which is most of the world’s rhythms.

| | |
|---|---|
| **Key** | `audio.rhythm` |
| **Module** | `audio` |
| **Version** | `1` — a permalink carries this, and a replay against a different version returns `409` rather than something else |
| **Formats** | `application/json`, `text/plain`, `audio/wav` |
| **Studio** | https://randomly.cluxnei.dev/g/audio/rhythm |
| **API** | `GET https://randomly.cluxnei.dev/api/v1/g/audio.rhythm` |

`value` is a **score** — events, envelopes and synthesis parameters — not samples. Ask for `format=wav` to get the audio.

| Parameter | Type | Default | Accepts | What it does |
|---|---|---|---|---|
| `k` | int | `3` | `1` – `16` | Onsets (k) — How many hits. k=3, n=8 is the tresillo; the panel names the pattern whenever it recognises one. |
| `n` | int | `8` | `2` – `16` | Steps (n) |
| `rotation` | int | `0` | `0` – `15` | Rotation — Which step becomes the downbeat. Same onsets, different rhythm — this is what separates the cinquillo from the son clave. |
| `layers` | int | `3` | `1` – `4` | Layers — Layer one is yours. The rest draw their own k and n, which is where the polyrhythm comes from. |
| `tempo` | float | `110` | `50` – `200` | Tempo (BPM) |
| `bars` | int | `4` | `1` – `16` | Bars |
| `swing` | float | `0` | `0` – `0.6` | Swing — Delays every second step. At 0.33 the steps land in triplet time, which is where swing comes from. |
| `kit` | enum | `acoustic` | `acoustic`, `electronic`, `wood` | Kit |
| `volume` | float | `-12` | `-36` – `0` | Volume (dBFS) — Where the mix sits before the master limiter. 0 dBFS is full scale; everything starts 12 dB below it. |

Out-of-range numbers are **clamped, not rejected**, so a request never fails for being
ambitious — but it may not do what you meant. Unknown keys are dropped and missing ones
fall back to the defaults above.

```bash
curl -s 'https://randomly.cluxnei.dev/api/v1/g/audio.rhythm?k=3&n=8&rotation=0' -H 'Accept: text/plain'
curl -o out.wav 'https://randomly.cluxnei.dev/api/v1/g/audio.rhythm?k=3&n=8&rotation=0&format=wav'
```

## The receipt

Every result carries one, naming the physical source of the randomness and linking to the
third party's own record of it:

```json
"receipt": {
  "source": "seismic",
  "source_label": "USGS Seismic Feed",
  "class": "C",
  "caveat": "Carries only tens of bits of genuine surprise. Always mixed with the OS CSPRNG.",
  "narrative": "A magnitude 3.6 earthquake, 67 km N of Culebra, Puerto Rico, 39.6 km down — 52 minutes ago.",
  "proof_url": "https://earthquake.usgs.gov/earthquakes/eventpage/us7000th33",
  "mixed_with_csprng": true,
  "degraded": false
}
```

Pick the source with `?source=`, or leave it at the default `auto`:

- **Class A** (Cryptographic) — `csprng`, `anu-qrng`, `random-org`
- **Class B** (Public beacon) — `nist-beacon`, `drand`, `bitcoin`. Published openly — anyone can look this value up after the fact.
- **Class C** (Observational) — `seismic`, `space-weather`, `atmosphere`, `iss`. Carries only tens of bits of genuine surprise. Always mixed with the OS CSPRNG.

## More

- [The full API contract](https://randomly.cluxnei.dev/api.md)
- [Everything in one file](https://randomly.cluxnei.dev/llms-full.txt)
- [The catalogue as JSON](https://randomly.cluxnei.dev/api/v1/generators)
- [This generator in the browser](https://randomly.cluxnei.dev/g/audio/rhythm)