# Mel scale

Many musicians and psychologists prefer a two-dimensional representation of pitch by tone color (or chroma) and tone-height, or a three-dimensional one such as the helical structure advocated by Roger Shepard, as more representative of other properties of musical hearing. To convert ${\displaystyle f}$ hertz into ${\displaystyle m}$ mel use:
${\displaystyle m=1127.01048\log _{e}(1+f/700)\ }$
${\displaystyle f=700(e^{m/1127.01048}-1)\ }$