It's highly unlikely Russell was given a C trumpet, but that would solve some problems.

As for fingering, it's the same as Bb although many C trumpets have a few notes where alternate fingerings are more in tune. D, Eb and E at the top of the staff are often better with alternate fingering (play it as if the note were down an octave).

The whole principle behind fingering on transposing instruments is that you should be able to learn one fingering, and, by reading the music for the appropriate key, always play that note with (almost) the same fingering. When I play soprano or tenor sax (in Bb), I finger them the same as I do when I play alto or bari (in Eb). Otherwise, it would be a nightmare to switch horns.


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