Re: Origin of the Mel frequency scale equation? ("Richard F. Lyon" )

Subject: Re: Origin of the Mel frequency scale equation?
From:    "Richard F. Lyon"  <DickLyon@xxxxxxxx>
Date:    Fri, 14 Mar 2008 04:59:28 -0700

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: Dick 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) ! > >:-) > >\Rachel

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