Everyone knows that certain notes on the trumpet are problematic; it is a consequence of the physics of trumpet design. Much has been written on the topic, but I only recently found a good description of the actual mathematics behind the phenomenon , written in 2003 by Joseph Monzo. I encourage you to read it. It is a generalized model, but it should apply in varying degrees to all Bb trumpets. One weakness of the otherwise awesome write-up is that the data is never really rendered in a way that is easily digestible for a trumpet player. The following table is my attempt to distill his information into a simplified format. The left-hand column starts with the trumpet-player's "C" above the staff and descends chromatically down to the lowest non-pedal note, "F#". All fingerings for each note are placed in the table relative to the sharpness/flatness for that pitch (slightly sharp/flat, sharp/flat, very sharp/flat) . Interestingly, based on this information, t