Seldom do improvisers recognize the value in changing octaves when performing a solo. Many times your improvised solo can be repeated in a different octave and sound completely new. Changing a melodic line by inverting it to a different octave can give your solo a whole new meaning.
To give you an example of how this can be done, please watch and listen to one of my favorite trumpet stylists Chet Baker. You may wonder why he is missing some of his upper, front teeth in this video. This could have been shortly after he was mugged on a street corner.
As he performs, notice how he goes up when you expect the line to go down and down when you expect it to go up.
