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GET /v1/string

Vibrating-string harmonics

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Custom headers (optional)
api.oanor.com/standingwave-api

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Code snippets

curl "https://api.oanor.com/standingwave-api/v1/string" \
  -H "x-oanor-key: oanor_test_..."
await fetch("https://api.oanor.com/standingwave-api/v1/string", {
  headers: { "x-oanor-key": "oanor_test_..." }
});
$ch = curl_init("https://api.oanor.com/standingwave-api/v1/string");
curl_setopt($ch, CURLOPT_HTTPHEADER, ["x-oanor-key: oanor_test_..."]);
curl_setopt($ch, CURLOPT_RETURNTRANSFER, true);
$out = curl_exec($ch);
import requests
requests.get(
    "https://api.oanor.com/standingwave-api/v1/string",
    headers={"x-oanor-key": "oanor_test_..."}
)

Example response

A real response from this endpoint, captured by the latest health check.

{
    "data": {
        "system": "string (fixed at both ends)",
        "formula": "v = √(T/μ); f_n = n·v/(2L); λ_n = 2L/n.",
        "length_m": 0.65,
        "harmonics": [
            {
                "index": 1,
                "nodes": 2,
                "antinodes": 1,
                "frequency_hz": 307.692308,
                "wavelength_m": 1.3,
                "harmonic_number": 1
            },
            {
                "index": 2,
                "nodes": 3,
                "antinodes": 2,
                "frequency_hz": 615.384615,
                "wavelength_m": 0.65,
                "harmonic_number": 2
            },
            {
                "index": 3,
                "nodes": 4,
                "antinodes": 3,
                "frequency_hz": 923.076923,
                "wavelength_m": 0.43333333,
                "harmonic_number": 3
            },
            {
                "index": 4,
                "nodes": 5,
                "antinodes": 4,
                "frequency_hz": 1230.769231,
                "wavelength_m": 0.325,
                "harmonic_number": 4
            },
            {
                "index": 5,
                "nodes": 6,
                "antinodes": 5,
                "frequency_hz": 1538.461538,
                "wavelength_m": 0.26,
                "harmonic_number": 5
            },
            {
                "index": 6,
                "nodes": 7,
                "antinodes": 6,
                "frequency_hz": 1846.153846,
                "wavelength_m": 0.21666667,
                "harmonic_number": 6
            }
        ],
        "tension_n": 80,
        "wave_speed_ms": 400,
        "linear_density_kg_m": 0.0005,
        "linear_density_source": "given",
        "fundamental_frequency_hz": 307.692308,
        "fundamental_wavelength_m": 1.3
    },
    "meta": {
        "timestamp": "2026-06-04T10:18:52.706Z",
        "request_id": "e851d804-f5ac-4f82-99cb-be4362a7ed2c"
    },
    "status": "ok",
    "message": "Vibrating-string harmonics",
    "success": true
}