The double french horn is an instrument that allows the player to perform well in every register because it incorporates the best of both horn mechanisms. the playing range of the double french horn is four octaves.
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Explanation:

First, we need to define a French Horn:

A brass instrument, that requires deep breath in order to produce sound. The French Horn measures around 12-13 feet long.

In case of the double Horn, there are two sets of tubing.

A F tube and a shortr Bb tube  with  additional rotor valves that divert air flow  along the two tubes makes this instrument harder to play.

Having both horn mechanisms enables the playing of higher and lower pitch notes. In total the double French horn can play 4 octaves.

The Double Horn is an instrument usually present in an Orchestra

There are anywhere from 2 to 8 French horns in an orchestra, and half or less can be a double horn which can interpret melody and harmony as well as rhythm.