Standing Wave Harmonics Calculator (strings & pipes) implementation

Binding contract

This record describes what an executable surface must bind and validate. It does not claim that a public calculator, package, or production route is deployed.

Record owner

Guth Instruments

Lifecycle

verified-clean

Evidence ID

t6-087

Effect

Computation or source lookup only

Input and validation requirements

A zero-length input produces division by zero and undefined frequency. The instrument must reject L=0; otherwise it can emit an invalid result or fail. Signed wave speed also exposes a convention hazard because literal substitution yields a negative frequency.

Required corrections

No binding erratum is attached to this unique-name record. Implementers must still preserve the declared units, domain, and failure behavior.

Inspectable interface fixture

The sample below is evidence for interface and validation tests, not a production implementation.

{
  "inputs": {
    "boundary_type": "string_both_ends_fixed",
    "L": 0.65,
    "L_unit": "m",
    "v": 130,
    "v_unit": "m/s",
    "n": 3,
    "harmonic_table_through_n": 3
  },
  "expected_outputs": {
    "f_n_Hz": 300,
    "wavelength_m": 0.4333333333,
    "harmonic_series": [
      {
        "n": 1,
        "f_Hz": 100,
        "wavelength_m": 1.3
      },
      {
        "n": 2,
        "f_Hz": 200,
        "wavelength_m": 0.65
      },
      {
        "n": 3,
        "f_Hz": 300,
        "wavelength_m": 0.4333333333
      }
    ]
  },
  "working": "String formula: f_3 = (3×130)/(2×0.65) = 390/1.30 = 300 Hz. Wavelength: λ_3 = v/f_3 = 130/300 = 0.4333333333 m, equivalently 2L/n = (2×0.65)/3 = 1.30/3 = 0.4333333333 m. Table: n=1 gives 130/1.30 = 100 Hz; n=2 gives 260/1.30 = 200 Hz; n=3 gives 390/1.30 = 300 Hz."
}

Other records

Sources and evidence

These pointers bind the page to evidence. They do not grant authority or collapse verification into deployment.

• VERIFIED_LEDGER.json
• evidence-tranche6/tranche6-results.json