Here are some exercises based on the diminished scale, which could be practiced like Arban, Clarke, Quinque...etc.
A lot of classical trained musicians develop playing reflexes based on the "classical" scales (major and minor), which prevents them from improvising in true jazz style. A good idea would be to develop reflexes on all scales, and by practicing them on a daily basis you would also get more familiar with the sound.
If you don't know what diminished scale is, the diminished scale is a symmetric scale formed by the sequence: Tone - Semitone - Tone - Semitone - Tone - Semitone - Tone. In classical theory (in contrast to jazz theory), this symmetrical scale is commonly called the octatonic scale or Rimsky-Korsakov mode.
You may download the music sheet as PDF, or in MuseScore format, so you can edit, transpose, transcribe and customize it to your own needs.
Click the image to download the format you want:
Disclaimer: All materials are properties of their owners, and are used here for informative and educational purposes. I don't accept any responsibility for any damage, loss, liability, injury or upset caused to or suffered by you as a result of misusing this material.
Cheers and happy learning,
Mihai