# mediant

## Contents

## EnglishEdit

### EtymologyEdit

From Italian *mediante*, from Latin *mediānt-* (“being in the middle”), present active participle of *mediō* (“I am in the middle”), from *medius* (“middle”), from Proto-Italic **meðios*, from Proto-Indo-European **medʰyo-* (“between”).

### PronunciationEdit

- IPA
^{(key)}: /ˈmiːdi.ənt/

### NounEdit

**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*.

- For any tangent pair of Ford circles corresponding to rational numbers