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The scale ranges from 1 to 24 and corresponds to the first 24 Critical Bands of Hearing . The subsequent band edges are (in Hz ) 0, 100, 200, 300, 400, 510, 630, 770, 920, 1080, 1270, 1480, 1720, 2000, 2320, 2700, 3150, 3700, 4400, 5300, 6400, 7700, 9500, 12000, 15500.

It is related to, but somewhat less popular than the Mel Scale .

To convert a frequency ''f'' (Hz) into Bark use:

: \mathrm{Bark} = 13 \arctan(0.00076f) + 3.5 \arctan((f/7500)^2) \

or (traunmuller 1990)

: \mathrm{Critical band rate (bark)} = / (1 + 1960 / f ) - 0.53 \

  • (2-result)


  • (result-20.1)


: \mathrm{Critical bandwidth (Hz)} = 52548 / (z^2 - 52.56 z + 690.39) \ with z in bark.


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