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Re: frequency to mel formula



Hi Jim,

Do you have a feel for why the mel scale is used instead of, say, Bark or ERB scales?

Just curious,
Julius

At 11:11 AM 7/15/2009, James W. Beauchamp wrote:
Dear List,

On the Wikipedia page
  http://en.wikipedia.org/wiki/Mel_frequency_scale

a formula for computing frequency in terms of mels is given as:

mel = log(1 + fr/700)*1127 .

It is easily inverted to fr = 700*exp(mel/1127 - 1) .

My question is: Where do these formulas come from? I.e., I need
a journal reference for these formulas.

Thanks much,

Jim Beauchamp
Univ. of Illinois at Urbana-Champaign

"Anybody who knows all about nothing knows everything" -- Leonard Susskind