A SIMPLE way of looking at the transposer is that it shifts EVERY key on the keyboard left (+) or right (-) by the number of the transpose. ALL keys, black and white are counted. As far as counting sharps and flats I would NOT depend on that. The transpose would for instance allow you to play a song you knew in "C" and have the sounds moved to a different key. For instance, a transpose of +2 would move EVERY C to "sounding" D, C# to D#, D# to F, E to F#, F to G, F# to G#, G to A, G# to A#, A to B, A# to C, and finally B would sound C# pitch. Given a key like G for a song that has one sharp (F#) to play this by keying it in the key of "C" you would use a transpose of +6 or minus 6. The number of key positions (including black) between the key you want to play in and the key the song is in. For a song in D that is played in C you would use either a +2 transpose or a -10 depending on whether you wanted the higher or lower octave to sound. Looking at it this way I do NOT believe the method you proposed would work... Look at it the way I described and you won't go wrong.
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