Free 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)).
Lower Band Edge
707.1068 Hz
Lower Band Edge vs Centre Frequency
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.
Example Calculation
1000 Hz full octave band.
- 01f_upper = 1000 * 2^(1/2) = 1000 * 1.4142 = 1414.2 Hz
- 02f_lower = 1000 / 2^(1/2) = 1000 / 1.4142 = 707.1 Hz
- 03Bandwidth = 1414.2 - 707.1 = 707.1 Hz
Frequently Asked Questions
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