Wavelength ↔ Frequency (Sound) Converter mechanism

Model scope

The formula is mathematically sound under the stated assumptions, but the specification needs to explicitly define both conversion directions, input-direction selection, valid ranges, and units. The empty honest_label is a concern: the instrument should disclose that this is an approximate dry-air calculation using temperature only, rather than an exact universal speed-of-sound result.

• The formula λ=c/f is correct for calculating wavelength from frequency when c is in m/s and f is in Hz.
• The specification claims conversion in either direction, but it does not explicitly state the inverse formula f=c/λ or define how the instrument determines which input direction to use.
• The speed formula c=331.3+0.606T is a standard linear approximation for dry air near ordinary atmospheric conditions, not a universally exact speed-of-sound formula for all air conditions.

Units and conventions

• Temperature T is in degrees Celsius, not Fahrenheit or Kelvin.
• Frequency is in hertz (cycles per second).
• Wavelength is in metres.
• Speed of sound is returned in metres per second.
• The inverse calculation, when wavelength is supplied, is f=c/λ.
• The approximation assumes ordinary atmospheric pressure and approximately dry air; humidity, pressure, and air composition are otherwise ignored.

Inspectable vector

One of 4 source-bound review vectors:

{
  "inputs": {
    "frequency_hz": 440,
    "air_temperature_c": 20
  },
  "expected_outputs": {
    "speed_of_sound_m_per_s": 343.42,
    "wavelength_m": 0.7805
  },
  "working": "c = 331.3 + (0.606 × 20) = 331.3 + 12.12 = 343.42 m/s.\nλ = c/f = 343.42/440 = 0.7805 m."
}

Failure boundary

BREAK_CLAIMED · SELF_FLAGGED

The inverse wavelength-to-frequency operation is undefined for zero wavelength, and the specification does not state an input-domain rejection rule. A temperature-unit ambiguity can also produce materially different results if a bare value such as 68 is interpreted as Fahrenheit rather than the specified Celsius.

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
• BOUNDARY_HAZARD_CATALOG.json