Calculadora de Frecuencia por Banda de OctavaFórmula

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.

Ejemplo Resuelto

1000 Hz full octave band.

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