Use this calculation for a first-order acoustics estimate when the stated geometry, propagation model, averaging convention, reference quantity, and SI units match the measurement or design problem.

Cents

A finite measured or assumed value, expressed in cent.

The implemented rule is: Frequency ratio corresponding to a signed interval in cents.^[1]

Frequency Ratio

The calculated frequency ratio.

This is an idealized calculation rather than a complete acoustic simulation or measurement. Reflections, boundary conditions, directivity, damping, frequency dependence, near-field behavior, background noise, transducer response, temperature, humidity, and geometry can change a real result.

Confirm important results with calibrated measurements or a model that includes the actual geometry, materials, boundaries, source directivity, and frequency-dependent losses. Preserve the reference quantity and weighting whenever a result is expressed in decibels.

• Interval Ratio To Cents

  Musical interval in cents from a positive frequency ratio.

• Semitone Offset Frequency

  Frequency after a signed number of semitones in 12-tone equal temperament.

• Direct To Reverberant Ratio

  Ideal direct-to-reverberant sound-energy ratio in dB at distance r, using Q R/(16πr²).