When the thinnest string is pressed down at the fret closest to the bridge (d = 20.0 cm) and the string plucked near the midpoint, the vibrating string produces a sound with a frequency of 2,380 Hz. If the guitarist moves to the next fret (second-closest to the bridge), the sound produced has a frequency of 2,237 Hz. Determine the distance (in cm) between the frets. (Assume the given frequencies are fundamental frequencies.)