Given a Farey sequence with consecutive terms and , then the mediant is defined as the reduced form of the fraction .
See alsoFarey Sequence
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ReferencesConway, J. H. and Guy, R. K. "Farey Fractions and Ford Circles." The Book of Numbers. New York: Springer-Verlag, pp. 152-154, 1996.
Referenced on Wolfram|AlphaMediant
Cite this as:
Weisstein, Eric W. "Mediant." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Mediant.html