String/Wind Instrument Fundamental Frequency (String Length) 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

t4-133

Effect

Computation or source lookup only

Input and validation requirements

Zero length and zero linear mass density produce division-by-zero, while negative tension produces a non-real square-root argument. The specification also lacks an explicit unit convention, allowing a 100-fold frequency discrepancy for the same numeric length.

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": {
    "length": 0.5,
    "length_unit": "m",
    "tension": 100,
    "tension_unit": "N",
    "linear_mass_density": 0.01,
    "linear_mass_density_unit": "kg/m"
  },
  "expected_outputs": {
    "fundamental_frequency_Hz": 100
  },
  "working": "f=(1/(2L))*sqrt(T/µ)\nf=(1/(2*0.5))*sqrt(100/0.01)\nf=(1/1)*sqrt(10000)\nf=1*100\nf=100 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-tranche4/tranche4-results.json