Behold the mellophone
The mellophone is the instrument that solves a problem outdoors. A marching band needs the middle voice that the French horn provides in a concert hall, but the horn points its bell backwards, is held in a way that cannot survive a drill chart, and projects poorly into a stadium. The mellophone takes that middle voice, aims it forward, puts it in a trumpet-like shape and makes it carry.
What it is
It is a valved brass instrument in the alto range, held like a large trumpet, with the bell facing front. Modern marching mellophones are pitched in F, read from horn-friendly or trumpet-friendly parts depending on the arranger, and use three valves worked with the right hand. The body is bigger than a trumpet, the bore and the bell flare are closer to a horn's, and the sound sits between the two: rounder and warmer than a trumpet, more direct and less diffuse than a horn.
Why corps and bands use it
Balance and sightlines. The middle of the ensemble has to be heard by an audience in a stand and by the players around it, and a forward bell does both. A line of mellophones also blends: the section can back a trumpet melody without competing with it, carry a countermelody that a horn line would lose outdoors, and add weight under the top voices without the thickness of baritones. Drill makes its own demands, and an instrument you can march with, turn with and play while moving is worth a small compromise in tone colour.
Coming to it from the horn
Horn players are the usual recruits and have the easiest time with the pitch and the parts. What changes is everything physical. The mouthpiece is larger and shallower than a horn mouthpiece, the right hand does the valves, the left hand supports the weight, and there is no hand in the bell to adjust tone or pitch. Expect the embouchure to feel unfamiliar for a while, and expect intonation to be your responsibility rather than the bell hand's. Many players use an intermediate mouthpiece with a horn-like cup and the larger shank to make the switch gentler.
Coming to it from the trumpet
Trumpet players find the grip and the valve hand natural and the partials unfamiliar. The harmonic series sits closer together than on a trumpet, so notes are easier to miss between partials and the ear has to work harder. Air is the other adjustment: the instrument wants a fuller, slower stream than a trumpet, and a trumpet player's habit of driving the sound makes it brassy instead of warm.
Intonation and section sound
Mellophones are known for being demanding in tune. Learn where your own instrument sits sharp or flat, use the tuning slide and alternate fingerings deliberately, and tune the section in chords rather than in unison. Section sound comes from matching the attack and the release across the line, and from listening down to the low voices rather than across to your neighbour.
Buying and caring for one
Check the valves for even compression, the slides for free movement and the leadpipe and bell for dents and old solder repairs, because a dented bell throat changes response and is expensive to fix well. Rinse the instrument regularly, oil the valves, and store it in a case that supports the bell rather than letting it take the weight. Look too at the alto horn, its upright cousin still used in British-style brass bands, which fills the same musical role in a very different ensemble.