Meaning of Farey sequence

Fa'rey se"quence

Pronunciation: (fâr'ē), [key]
— Math. Math.
  1. the increasing sequence of fractions in which numerator and denominator have no common divisor other than one and in which the denominator is less than or equal to a given positive integer p. For p = 4, the Farey sequence of order 4 is , , , , , , .
Random House Unabridged Dictionary, Copyright © 1997, by Random House, Inc., on Infoplease.