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Re: Origin of the Mel frequency scale equation?
Rachel, thanks for those sources. I had a bit of trouble finding the
1965 one until I realized the name is spelled Pedersen.
A related nonlinear frequency scale is Don Greenwood's place map. In
1947, Stevens essentially claimed that the mel scale is a place map:
"it has been found most convenient to analyze speech by dividing it
up into bands that stimulate equally wide regions on the basilar
membrane. This is accomplished by choosing filter cut-offs at equal
intervals along the mel scale of subjective pitch" ( The Journal of
the Acoustical Society of America -- September 1947 -- Volume 19,
Issue 5, pp. 771-780, S. S. Stevens, J. P. Egan, and G. A. Miller
"Methods of Measuring Speech Spectra"). But I don't think he showed
that his pitch magnitude method was actually related to a cochlear
place map. Greenwood came at it from animal CF data, if I recall
correctly, and came up with somewhat different formulas. I have his
papers in my office and can comment more after I get home and look at
them; here's a plot:
At 9:58 AM +0000 3/11/08, Rachel van Besouw wrote:
Apologies, in chronological order that should have been:
Pederson (1965), Fant (1973) and then O'Shaughnessy (1978) !