Octave Band Frequency Calculator

Calculate the upper and lower band edges of an octave or fractional-octave band from the centre frequency: f_upper = f_centre * 2^(1/(2N)), f_lower = f_centre / 2^(1/(2N)).

Hz

Lower Band Edge

707.1068 Hz

Upper Band Edge1,414.2136 Hz
Bandwidth707.1068 Hz

Lower Band Edge vs Centre Frequency

Voir la formule →

Formule

## Octave and Fractional-Octave Bands Sound analysis often divides the spectrum into bands of constant percentage bandwidth. ### Formulas **f_upper = f_c * 2^(1/(2N))** **f_lower = f_c / 2^(1/(2N))** where N is the fraction denominator (1 for full octave, 3 for third-octave). For a full octave band (N=1): f_upper/f_lower = 2 (one octave). For third-octave (N=3): the ratio is 2^(1/3) = 1.26.

Exemple Résolu

1000 Hz full octave band.

  1. 01f_upper = 1000 * 2^(1/2) = 1000 * 1.4142 = 1414.2 Hz
  2. 02f_lower = 1000 / 2^(1/2) = 1000 / 1.4142 = 707.1 Hz
  3. 03Bandwidth = 1414.2 - 707.1 = 707.1 Hz