Mel Vs. Hertz

As frequency in Hertz increases, larger intervals are judged by listeners to produce equal increments.

Figure 1: Mel scale vs. Hertz scale.
\scalebox{.6}{\includegraphics{eps/melvsHz.eps}}

Above 500 Hz, 2 octaves in Hz comprise about 1 octaves in mels.

Keyboard warped to match ``equal'' steps on the mel scale shows narrower keys at low frequencies.

Figure 2: Warped keyboard depicting the mel scale.
\scalebox{.5}{\includegraphics{eps/warpedkeyboard.eps}}


``Music 175: Pitch II'' by Tamara Smyth, Department of Music, University of California, San Diego (UCSD).
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Copyright © 2019-06-04 by Tamara Smyth.
Please email errata, comments, and suggestions to Tamara Smyth<trsmyth@ucsd.edu>