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1

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 can be divided up into ~ 11 octave bands.

If we set/define the 7

th octave band's center frequency to be 7 1000
ctr 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 nnn

BW 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 be

131000

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 ff

Conversely, 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 each

1/2-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

th

1/3-octave band's center frequency to be

19 1000
ctr 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 13quotesdbs_dbs7.pdfusesText_5