Many jazz pianists that wants to play the bebop jazz piano style starts with the bebop scale. I never did that myself as I didn’t find a good way to combine the bebop lines with other things that made sense. In stead, I had a different approach:
Here is a summary on how I practice the bebop jazz piano style:1. Get to know the syntax.
That simply means you sing (with your mouth) bebop lines. Try to copy them from the great masters. I sometimes sing bebop improvisations (when I’m alone) and try to experiment with improvisations that very often ends with that famous BE-BOP. So it basically sounds like this “duddeli-duba-duba-daba-duba-duddeli-duba-be-bop”.
2. Play chromatic lines and circle around the notes
When you take it to the piano, start with the chromatic scale and not the bebop scale. At least that was my approach and that worked very well for me. Very often you circle around the note you’re about to play. For example: If you want to play the G, you’d start on the Ab, then Gb before you end with playing the G.
3. Play triplets
When you play old bebop (from the Charlie Parker era), you should add lots of triplets to your lines. Listen to the intro of the tune Donna Lee by Charlie Parker. It starts with a triplet. So in many cases there will be a combination of triplets and swung eight- notes.
Here is an example from Donna Lee by Charlie Parker: