The Bark scale is a psychoacoustical scale.

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:

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

or (traunmuller 1990)

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

if result < 2 add 0.15*(2-result)

if result > 20.1 add 0.22*(result-20.1)

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

External links

• Smith and Abel - Bark and ERB Bilinear Transforms (1999)
• http://www.ling.su.se/staff/hartmut/bark.htm

Bark-Skala | Escala Bark | Bark_(jednostka)