Subject: Re: frequency to mel formula From: "McCreery, Ryan W" <McCreeryR@xxxxxxxx> Date: Wed, 15 Jul 2009 14:01:02 -0500 List-Archive:<http://lists.mcgill.ca/scripts/wa.exe?LIST=AUDITORY>Hi Jim, I don't know if this is the first reference to the mel scale, but it's one that I have read before and seen cited: Stevens, S.S. & Volkmann, J. (1940) The relation of pitch to frequency: A revised scale. The American Journal of Psychology 53(3), 329- I hope this helps. Ryan McCreery -----Original Message----- From: AUDITORY - Research in Auditory Perception [mailto:AUDITORY@xxxxxxxx On Behalf Of James W. Beauchamp Sent: Wednesday, July 15, 2009 1:11 PM To: AUDITORY@xxxxxxxx Subject: frequency to mel formula 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