Subject: Re: frequency to mel formula From: Dan Ellis <dpwe@xxxxxxxx> Date: Wed, 15 Jul 2009 15:03:45 -0400 List-Archive:<http://lists.mcgill.ca/scripts/wa.exe?LIST=AUDITORY>We discussed this last year. See http://www.auditory.org/mhonarc/2008/msg00191.html http://www.auditory.org/mhonarc/2008/msg00189.html and the surrounding thread. I think the actual origin is Fant in a paper in Swedish from 1949, summarized in his 1973 book: Fant, C G M "Analys av de svenska konsonantljuden" LM Ericsson protokoll H/P 1064, 1949: 139pp. referenced on p. 48 of Fant, G "Speech Sounds and Features", MIT Press, 1973. but Fant uses log(1+f/1000). The log(1+f/700) was attributed to O'Shaughnessy, D. (1978) Speech communication: Human and machine. Addison-Wesley, New York, page 150. DAn. On Wed, Jul 15, 2009 at 2:11 PM, James W. Beauchamp<jwbeauch@xxxxxxxx> 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 >