Given some notes and a scale, transpose the notes up or down a given number of scale steps. What we normally call transposition uses the chromatic scale.
Sometimes a transposing an accidental note is not be possible, for example, transposing D#/Eb up one scale degree on a C major scale.
Or maybe it is defined: E#/Fb, different notes depending on exactly how it was originally written. In a similar way, transposition along a pentatonic scale CDEGA might be fully defined, after rewriting all B as C-flat and F as E-sharp. What to do about B-flat? C-double-flat or A-sharp?
Inspired by trying to losslessly compress notated music.
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