Conversion between acoustic and auditory units of pitch
and calculation of auditory intervals and distances

Enter a value in Hz, ms, mel or bark and click "Convert".

Frequency f (Hz):
Period P (ms):
Subjective pitch (mel):
CB-rate z (bark):
ERB-rate (ERB):

Enter a reference value and click "Calculate".

Frequency f (Hz):
Period P (ms):
CB-rate z (bark):
Period difference (ms):
Musical interval (octaves):
Musical interval (semitones):
Tonotopic distance (bark):
Sources of the equations used
(see also Auditory scales of frequency representation)

Mel: L.L. Beranek (1949) Acoustic Measurements, New York: Wiley.
ERB: B.C.J. Moore and B.R. Glasberg (1983) "Suggested formulae for calculating auditory-filter bandwidths and excitation patterns" J. Acoust. Soc. Am. 74: 750-753.
Bark: H. Traunmüller (1990) "Analytical expressions for the tonotopic sensory scale" J. Acoust. Soc. Am. 88: 97-100.

H. Traunmüller | Phonetics at Stockholm University
March 2005