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Webster 1913 Edition

Noun.

[L.

medians

, p. p. of

mediare

to halve: cf. It.

mediante

, F.

médiante

(Mus.)

The third above the keynote; – so called because it divides the interval between the tonic and dominant into two thirds.

Noun.

In music, an appellation given to the third above the key-note, because it divides the interval between the tonic and dominant into thirds.

mediant ‎(plural mediants)

(music) The third degree of the diatonic scale.
(mathematics) A rational number whose numerator is the sum of the numerators of two other given rational numbers and whose denominator is the sum of the denominators of those same two other rational numbers.
For any tangent pair of Ford circles corresponding to rational numbers r and s, the Ford circle tangent to both of them corresponds to the rational number which is the mediant of r and s.

mediant