Center Frequencies and High/Low Frequency Limits for Octave Bands, 1/2- and 1/3-Octave Bands Octave Bands: The audio spectrum from ~ 20 Hz to ~ 20 KHz
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Center Frequencies and High/Low Frequency Limits for Octave Bands, 1/2- and 1/3-Octave Bands Octave Bands: The audio spectrum from ~ 20 Hz to ~ 20 KHz
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Center Frequencies and High/Low
Frequency Limits for Octave Bands, 1/2- and 1/3-Octave BandsOctave Bands:
The audio spectrum from ~ 20 Hz to ~ 20 KHz can be divided up into ~ 11 octave bands.If we set/define the 7
th octave band's center frequency to be 7 1000ctr fHz, then all lower center frequencies for octave bands can be defined from each other using the formula 1 2 ctr ctr nn ff Conversely, all higher center frequencies for octave bands can be defined from each other using the formula 1 2 ctr ctr nn ff . Then for each center frequency, the half-octave low (high) frequency for each octave band are (respectively) given by the formulae 12 2 low nn ff and 12 2 high nn ff . The per-cent fractional bandwidth per octave band is constant:
100 70.7%
high low ctr nnnBW f f f
Please see the octave band table on the next page.1/2-Octave Bands:
The audio spectrum from ~ 20 Hz to ~ 20 KHz can be divided up into ~ 21 1/2-octave bands.If we set/define the 13
th half-octave band's center frequency to be131000
ctr fHz, then all lower center frequencies for 1/2-octave bands can be defined from each other using the formula 12 1 2 ctr ctr nn ffConversely, all
higher center frequencies for 1/2-octave bands can be defined from each other using the formula 12 1 2 ctr ctr nnff . Then for each center frequency, the 1/4-octave low (high) frequency for each1/2-octave band are (respectively) given by the formulae
14 2 low nn ff and 14 2 high nn ff. The per-cent fractional bandwidth per 1/2-octave band is constant:100 34.8%
high low ctr nnnBW f f f Please see the 1/2-octave band table on the next page.1/3-Octave Bands:
The audio spectrum from ~ 20 Hz to ~ 20 KHz can be divided up into ~ 31 1/3-octave bands.If we set/define the 19
th1/3-octave band's center frequency to be
19 1000ctr fHz, then all lower center frequencies for 1/3-octave bands can be defined from each other using the formula 13 1 2 nn ff
Conversely, all
higher center frequencies for 1/3-octave bands can be defined from each other using the formula 13 1 2 nn ff . Then for each center frequency, the 1/6-octave low (high) frequency for each1/3-octave band are (respectively) given by the formulae
162low nn ff and 16 2 high nn ff. The per-cent fractional bandwidth per 1/3-octave band is constant: