The Horn in C transposition doesn't appear to be right. It should be one octave lower than written. Also, it should be starting on Treble Clef (G Clef) instead of Bass (F). So unless this changes, the Horn in C is no different than the High C Horn (C alto) besides their ranges.
Does Horn in C transpose?
Horn in C Transpose down a perfect 4th. Horn in B Transpose down a diminished 5th. The performers must assume the key of the interval to which they are transposing and make allowance for acciden- tals that may be different in the new key.
Is the Horn transposing?
The horn is a transposing instrument and unlike the trumpet sounds deeper than written in all tunings. The modern horn is notated in F; in bass clef and treble clef it is written a fifth higher than it sounds.
Do cornets transpose?
The cornet (/ˈkɔːrnɪt/, US: /kɔːrˈnɛt/) is a brass instrument similar to the trumpet but distinguished from it by its conical bore, more compact shape, and mellower tone quality. The most common cornet is a transposing instrument in B♭, though there is also a soprano cornet in E♭ and cornets in A and C.