The Basilar membrane is 35 mm long, and is sensitive to frequencies between 20 Hz to 20,000 Hz. Calculate the separation in millimeters between regions across the membrane that are respond to the following intervals: (a) octave, (b) minor third, (c) semitone, and (d) 5% of semitone. Assuming pure note pitch separation threshold (JND) is 5% of semitone, and that 30,000 hair cells are evenly distributed across the membrane, how many cells take part within the JND region.