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Convert from hertz to Bark scale

Since R2019a



bark = hz2bark(hz) converts values in hertz to values on the Bark frequency scale.


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Set two bounding frequencies in Hz and then convert them to the Bark scale.

b = hz2bark([20,8000]);

Generate a row vector of 32 values uniformly spaced on the Bark scale.

barkVect = linspace(b(1),b(2),32);

Convert the row vector of values into equivalent frequencies in Hz.

hzVect = bark2hz(barkVect);

Plot the two vectors for comparison. As Bark values increase linearly, Hz values increase exponentially.

title('Bark vs Hz')
grid on

Figure contains an axes object. The axes object with title Bark vs Hz, xlabel Bark, ylabel Hz contains a line object which displays its values using only markers.

Input Arguments

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Input frequency in Hz, specified as a scalar, vector, matrix, or multidimensional array.

Data Types: single | double

Output Arguments

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Output frequency on the Bark scale, returned as a scalar, vector, matrix, or multidimensional array the same size as hz.

Data Types: single | double


The frequency conversion from Hz to the Bark scale uses the following formula:


The Bark value correction occurs after the conversion from Hz to the Bark scale.


[1] Traunmüller, Hartmut. "Analytical Expressions for the Tonotopic Sensory Scale." Journal of the Acoustical Society of America. Vol. 88, Issue 1, 1990, pp. 97–100.

Extended Capabilities

C/C++ Code Generation
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Version History

Introduced in R2019a