Musical Acoustics Demonstrations

Just Noticeable Difference (jnd) for Frequency

Background

Pitch is the perceptual correlate of frequency, that is, if a musical instrument or a computer produces high and low frequencies, the human ear hears a pitch that is higher or lower.  The Just Noticeable Difference, or jnd,  sets a limit on the smallest amount of  frequency change that might be useful musically, either for scale steps (if you wanted to have many scale steps in an octave), or for fine tuning adjustments.

A semitone is the smallest standard step size in european music, and represents about 6% change in frequency.  A musical cent is 1/100 of a semitone, or about 0.06% change in frequency.

Instructions

The sound file contains several pairs of notes, near 250 Hz.  Each pair is repeated once.  Listen to all the pairs, as many times as you like, and record whether the second note is higher or lower in pitch than the first note.  The smallest difference that you can reliably detect would be your jnd for frequency.
  • Play the sound file
  • Interpretation

    Csound files

  • pitchjnd.orc
  • pitchjnd.sco
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