There are 495 ways to traverse one octave in 8 steps. This is the complete listing.
- C D E F Ab A Bb B
- C D E F G A Bb B
- C D E F G Ab A B
- C D E F G Ab A Bb
- C D E F G Ab Bb B
- C D E F Gb A Bb B
- C D E F Gb Ab A B
- C D E F Gb Ab A Bb
- C D E F Gb Ab Bb B
- C D E F Gb G A B
- C D E F Gb G A Bb
- C D E F Gb G Ab A
- C D E F Gb G Ab B
- C D E F Gb G Ab Bb
- C D E F Gb G Bb B
- C D E G Ab A Bb B
- C D E Gb Ab A Bb B
- C D E Gb G A Bb B
- C D E Gb G Ab A B
- C D E Gb G Ab A Bb
- C D E Gb G Ab Bb B
- C D Eb E Ab A Bb B
- C D Eb E F A Bb B
- C D Eb E F Ab A B
- C D Eb E F Ab A Bb
- C D Eb E F Ab Bb B
- C D Eb E F G A B
- C D Eb E F G A Bb
- C D Eb E F G Ab A
- C D Eb E F G Ab B
- C D Eb E F G Ab Bb
- C D Eb E F G Bb B
- C D Eb E F Gb A B
- C D Eb E F Gb A Bb
- C D Eb E F Gb Ab A
- C D Eb E F Gb Ab B
- C D Eb E F Gb Ab Bb
- C D Eb E F Gb Bb B
- C D Eb E F Gb G A
- C D Eb E F Gb G Ab
- C D Eb E F Gb G B
- C D Eb E F Gb G Bb
- C D Eb E G A Bb B
- C D Eb E G Ab A B
- C D Eb E G Ab A Bb
- C D Eb E G Ab Bb B
- C D Eb E Gb A Bb B
- C D Eb E Gb Ab A B
- C D Eb E Gb Ab A Bb
- C D Eb E Gb Ab Bb B
- C D Eb E Gb G A B
- C D Eb E Gb G A Bb
- C D Eb E Gb G Ab A
- C D Eb E Gb G Ab B
- C D Eb E Gb G Ab Bb
- C D Eb E Gb G Bb B
- C D Eb F Ab A Bb B
- C D Eb F G A Bb B
- C D Eb F G Ab A B
- C D Eb F G Ab A Bb
- C D Eb F G Ab Bb B
- C D Eb F Gb A Bb B
- C D Eb F Gb Ab A B
- D Double Diminished Scale
- F Double Diminished Scale
- Ab Double Diminished Scale
- B Double Diminished Scale
- C D Eb F Gb Ab A Bb
- C D Eb F Gb Ab Bb B
- C D Eb F Gb G A B
- C D Eb F Gb G A Bb
- C D Eb F Gb G Ab A
- C D Eb F Gb G Ab B
- C D Eb F Gb G Ab Bb
- C D Eb F Gb G Bb B
- C D Eb G Ab A Bb B
- C D Eb Gb Ab A Bb B
- C D Eb Gb G A Bb B
- C D Eb Gb G Ab A B
- C D Eb Gb G Ab A Bb
- C D Eb Gb G Ab Bb B
- C D F G Ab A Bb B
- C D F Gb Ab A Bb B
- C D F Gb G A Bb B
- C D F Gb G Ab A B
- C D F Gb G Ab A Bb
- C D F Gb G Ab Bb B
- C D Gb G Ab A Bb B
- C Db D E Ab A Bb B
- C Db D E F A Bb B
- C Db D E F Ab A B
- C Db D E F Ab A Bb
- C Db D E F Ab Bb B
- C Db D E F G A B
- C Db D E F G A Bb
- C Db D E F G Ab A
- C Db D E F G Ab B
- C Db D E F G Ab Bb
- C Db D E F G Bb B
- C Db D E F Gb A B
- C Db D E F Gb A Bb
- C Db D E F Gb Ab A
- C Db D E F Gb Ab B
- C Db D E F Gb Ab Bb
- C Db D E F Gb Bb B
- C Db D E F Gb G A
- C Db D E F Gb G Ab
- C Db D E F Gb G B
- C Db D E F Gb G Bb
- C Db D E G A Bb B
- C Db D E G Ab A B
- C Db D E G Ab A Bb
- C Db D E G Ab Bb B
- C Db D E Gb A Bb B
- C Db D E Gb Ab A B
- C Db D E Gb Ab A Bb
- C Db D E Gb Ab Bb B
- C Db D E Gb G A B
- C Db D E Gb G A Bb
- C Db D E Gb G Ab A
- C Db D E Gb G Ab B
- C Db D E Gb G Ab Bb
- C Db D E Gb G Bb B
- C Db D Eb Ab A Bb B
- C Db D Eb E A Bb B
- C Db D Eb E Ab A B
- C Db D Eb E Ab A Bb
- C Db D Eb E Ab Bb B
- C Db D Eb E F A B
- C Db D Eb E F A Bb
- C Db D Eb E F Ab A
- C Db D Eb E F Ab B
- C Db D Eb E F Ab Bb
- C Db D Eb E F Bb B
- C Db D Eb E F G A
- C Db D Eb E F G Ab
- C Db D Eb E F G B
- C Db D Eb E F G Bb
- C Db D Eb E F Gb A
- C Db D Eb E F Gb Ab
- C Db D Eb E F Gb B
- C Db D Eb E F Gb Bb
- C Db D Eb E F Gb G
- C Db D Eb E G A B
- C Db D Eb E G A Bb
- C Db D Eb E G Ab A
- C Db D Eb E G Ab B
- C Db D Eb E G Ab Bb
- C Db D Eb E G Bb B
- C Db D Eb E Gb A B
- C Db D Eb E Gb A Bb
- C Db D Eb E Gb Ab A
- C Db D Eb E Gb Ab B
- C Db D Eb E Gb Ab Bb
- C Db D Eb E Gb Bb B
- C Db D Eb E Gb G A
- C Db D Eb E Gb G Ab
- C Db D Eb E Gb G B
- C Db D Eb E Gb G Bb
- C Db D Eb F A Bb B
- C Db D Eb F Ab A B
- C Db D Eb F Ab A Bb
- C Db D Eb F Ab Bb B
- C Db D Eb F G A B
- C Db D Eb F G A Bb
- C Db D Eb F G Ab A
- C Db D Eb F G Ab B
- C Db D Eb F G Ab Bb
- C Db D Eb F G Bb B
- C Db D Eb F Gb A B
- C Db D Eb F Gb A Bb
- C Db D Eb F Gb Ab A
- C Db D Eb F Gb Ab B
- C Db D Eb F Gb Ab Bb
- C Db D Eb F Gb Bb B
- C Db D Eb F Gb G A
- C Db D Eb F Gb G Ab
- C Db D Eb F Gb G B
- C Db D Eb F Gb G Bb
- C Db D Eb G A Bb B
- C Db D Eb G Ab A B
- C Db D Eb G Ab A Bb
- C Db D Eb G Ab Bb B
- C Db D Eb Gb A Bb B
- C Db D Eb Gb Ab A B
- C Db D Eb Gb Ab A Bb
- C Db D Eb Gb Ab Bb B
- C Db D Eb Gb G A B
- C Db D Eb Gb G A Bb
- C Db D Eb Gb G Ab A
- C Db D Eb Gb G Ab B
- C Db D Eb Gb G Ab Bb
- C Db D Eb Gb G Bb B
- C Db D F Ab A Bb B
- C Db D F G A Bb B
- C Db D F G Ab A B
- C Db D F G Ab A Bb
- C Db D F G Ab Bb B
- C Db D F Gb A Bb B
- C Db D F Gb Ab A B
- C Db D F Gb Ab A Bb
- C Db D F Gb Ab Bb B
- C Db D F Gb G A B
- C Db D F Gb G A Bb
- C Db D F Gb G Ab A
- C Db D F Gb G Ab B
- C Db D F Gb G Ab Bb
- C Db D F Gb G Bb B
- C Db D G Ab A Bb B
- C Db D Gb Ab A Bb B
- C Db D Gb G A Bb B
- C Db D Gb G Ab A B
- C Db D Gb G Ab A Bb
- C Db D Gb G Ab Bb B
- C Db E F Ab A Bb B
- C Db E F G A Bb B
- C Db E F G Ab A B
- C Db E F G Ab A Bb
- C Db E F G Ab Bb B
- C Db E F Gb A Bb B
- C Db E F Gb Ab A B
- C Db E F Gb Ab A Bb
- C Db E F Gb Ab Bb B
- C Db E F Gb G A B
- C Db E F Gb G A Bb
- C Db E F Gb G Ab A
- C Db E F Gb G Ab B
- C Db E F Gb G Ab Bb
- C Db E F Gb G Bb B
- C Db E G Ab A Bb B
- C Db E Gb Ab A Bb B
- C Db E Gb G A Bb B
- C Db E Gb G Ab A B
- C Db E Gb G Ab A Bb
- C Db E Gb G Ab Bb B
- C Db Eb E Ab A Bb B
- C Db Eb E F A Bb B
- C Db Eb E F Ab A B
- C Db Eb E F Ab A Bb
- C Db Eb E F Ab Bb B
- C Db Eb E F G A B
- C Db Eb E F G A Bb
- C Db Eb E F G Ab A
- C Db Eb E F G Ab B
- C Db Eb E F G Ab Bb
- C Db Eb E F G Bb B
- C Db Eb E F Gb A B
- C Db Eb E F Gb A Bb
- C Db Eb E F Gb Ab A
- C Db Eb E F Gb Ab B
- C Db Eb E F Gb Ab Bb
- C Db Eb E F Gb Bb B
- C Db Eb E F Gb G A
- C Db Eb E F Gb G Ab
- C Db Eb E F Gb G B
- C Db Eb E F Gb G Bb
- C Db Eb E G A Bb B
- C Db Eb E G Ab A B
- C Db Eb E G Ab A Bb
- C Db Eb E G Ab Bb B
- C Db Eb E Gb A Bb B
- C Db Eb E Gb Ab A B
- C Db Eb E Gb Ab A Bb
- C Db Eb E Gb Ab Bb B
- C Db Eb E Gb G A B
- C Db Eb E Gb G A Bb
- C Double Diminished Scale
- Eb Double Diminished Scale
- Gb Double Diminished Scale
- A Double Diminished Scale
- C Db Eb E Gb G Ab A
- C Db Eb E Gb G Ab B
- C Db Eb E Gb G Ab Bb
- C Db Eb E Gb G Bb B
- C Db Eb F Ab A Bb B
- C Db Eb F G A Bb B
- C Db Eb F G Ab A B
- C Db Eb F G Ab A Bb
- C Db Eb F G Ab Bb B
- C Db Eb F Gb A Bb B
- C Db Eb F Gb Ab A B
- C Db Eb F Gb Ab A Bb
- C Db Eb F Gb Ab Bb B
- C Db Eb F Gb G A B
- C Db Eb F Gb G A Bb
- C Db Eb F Gb G Ab A
- C Db Eb F Gb G Ab B
- C Db Eb F Gb G Ab Bb
- C Db Eb F Gb G Bb B
- C Db Eb G Ab A Bb B
- C Db Eb Gb Ab A Bb B
- C Db Eb Gb G A Bb B
- C Db Eb Gb G Ab A B
- C Db Eb Gb G Ab A Bb
- C Db Eb Gb G Ab Bb B
- C Db F G Ab A Bb B
- C Db F Gb Ab A Bb B
- C Db F Gb G A Bb B
- C Db F Gb G Ab A B
- C Db F Gb G Ab A Bb
- C Db F Gb G Ab Bb B
- C Db Gb G Ab A Bb B
- C E F G Ab A Bb B
- C E F Gb Ab A Bb B
- C E F Gb G A Bb B
- C E F Gb G Ab A B
- C E F Gb G Ab A Bb
- C E F Gb G Ab Bb B
- C E Gb G Ab A Bb B
- C Eb E F Ab A Bb B
- C Eb E F G A Bb B
- C Eb E F G Ab A B
- C Eb E F G Ab A Bb
- C Eb E F G Ab Bb B
- C Eb E F Gb A Bb B
- C Eb E F Gb Ab A B
- C Eb E F Gb Ab A Bb
- C Eb E F Gb Ab Bb B
- C Eb E F Gb G A B
- C Eb E F Gb G A Bb
- C Eb E F Gb G Ab A
- C Eb E F Gb G Ab B
- C Eb E F Gb G Ab Bb
- C Eb E F Gb G Bb B
- C Eb E G Ab A Bb B
- C Eb E Gb Ab A Bb B
- C Eb E Gb G A Bb B
- C Eb E Gb G Ab A B
- C Eb E Gb G Ab A Bb
- C Eb E Gb G Ab Bb B
- C Eb F G Ab A Bb B
- C Eb F Gb Ab A Bb B
- C Eb F Gb G A Bb B
- C Eb F Gb G Ab A B
- C Eb F Gb G Ab A Bb
- C Eb F Gb G Ab Bb B
- C Eb Gb G Ab A Bb B
- C F Gb G Ab A Bb B
- D E F G Ab A Bb B
- D E F Gb Ab A Bb B
- D E F Gb G A Bb B
- D E F Gb G Ab A B
- D E F Gb G Ab A Bb
- D E F Gb G Ab Bb B
- D E Gb G Ab A Bb B
- D Eb E F Ab A Bb B
- D Eb E F G A Bb B
- D Eb E F G Ab A B
- D Eb E F G Ab A Bb
- D Eb E F G Ab Bb B
- D Eb E F Gb A Bb B
- D Eb E F Gb Ab A B
- D Eb E F Gb Ab A Bb
- D Eb E F Gb Ab Bb B
- D Eb E F Gb G A B
- D Eb E F Gb G A Bb
- D Eb E F Gb G Ab A
- D Eb E F Gb G Ab B
- D Eb E F Gb G Ab Bb
- D Eb E F Gb G Bb B
- D Eb E G Ab A Bb B
- D Eb E Gb Ab A Bb B
- D Eb E Gb G A Bb B
- D Eb E Gb G Ab A B
- D Eb E Gb G Ab A Bb
- D Eb E Gb G Ab Bb B
- D Eb F G Ab A Bb B
- D Eb F Gb Ab A Bb B
- D Eb F Gb G A Bb B
- D Eb F Gb G Ab A B
- D Eb F Gb G Ab A Bb
- D Eb F Gb G Ab Bb B
- D Eb Gb G Ab A Bb B
- D F Gb G Ab A Bb B
- Db D E F Ab A Bb B
- Db D E F G A Bb B
- Db D E F G Ab A B
- Db D E F G Ab A Bb
- Db D E F G Ab Bb B
- Db Double Diminished Scale
- E Double Diminished Scale
- G Double Diminished Scale
- Bb Double Diminished Scale
- Db D E F Gb A Bb B
- Db D E F Gb Ab A B
- Db D E F Gb Ab A Bb
- Db D E F Gb Ab Bb B
- Db D E F Gb G A B
- Db D E F Gb G A Bb
- Db D E F Gb G Ab A
- Db D E F Gb G Ab B
- Db D E F Gb G Ab Bb
- Db D E F Gb G Bb B
- Db D E G Ab A Bb B
- Db D E Gb Ab A Bb B
- Db D E Gb G A Bb B
- Db D E Gb G Ab A B
- Db D E Gb G Ab A Bb
- Db D E Gb G Ab Bb B
- Db D Eb E Ab A Bb B
- Db D Eb E F A Bb B
- Db D Eb E F Ab A B
- Db D Eb E F Ab A Bb
- Db D Eb E F Ab Bb B
- Db D Eb E F G A B
- Db D Eb E F G A Bb
- Db D Eb E F G Ab A
- Db D Eb E F G Ab B
- Db D Eb E F G Ab Bb
- Db D Eb E F G Bb B
- Db D Eb E F Gb A B
- Db D Eb E F Gb A Bb
- Db D Eb E F Gb Ab A
- Db D Eb E F Gb Ab B
- Db D Eb E F Gb Ab Bb
- Db D Eb E F Gb Bb B
- Db D Eb E F Gb G A
- Db D Eb E F Gb G Ab
- Db D Eb E F Gb G B
- Db D Eb E F Gb G Bb
- Db D Eb E G A Bb B
- Db D Eb E G Ab A B
- Db D Eb E G Ab A Bb
- Db D Eb E G Ab Bb B
- Db D Eb E Gb A Bb B
- Db D Eb E Gb Ab A B
- Db D Eb E Gb Ab A Bb
- Db D Eb E Gb Ab Bb B
- Db D Eb E Gb G A B
- Db D Eb E Gb G A Bb
- Db D Eb E Gb G Ab A
- Db D Eb E Gb G Ab B
- Db D Eb E Gb G Ab Bb
- Db D Eb E Gb G Bb B
- Db D Eb F Ab A Bb B
- Db D Eb F G A Bb B
- Db D Eb F G Ab A B
- Db D Eb F G Ab A Bb
- Db D Eb F G Ab Bb B
- Db D Eb F Gb A Bb B
- Db D Eb F Gb Ab A B
- Db D Eb F Gb Ab A Bb
- Db D Eb F Gb Ab Bb B
- Db D Eb F Gb G A B
- Db D Eb F Gb G A Bb
- Db D Eb F Gb G Ab A
- Db D Eb F Gb G Ab B
- Db D Eb F Gb G Ab Bb
- Db D Eb F Gb G Bb B
- Db D Eb G Ab A Bb B
- Db D Eb Gb Ab A Bb B
- Db D Eb Gb G A Bb B
- Db D Eb Gb G Ab A B
- Db D Eb Gb G Ab A Bb
- Db D Eb Gb G Ab Bb B
- Db D F G Ab A Bb B
- Db D F Gb Ab A Bb B
- Db D F Gb G A Bb B
- Db D F Gb G Ab A B
- Db D F Gb G Ab A Bb
- Db D F Gb G Ab Bb B
- Db D Gb G Ab A Bb B
- Db E F G Ab A Bb B
- Db E F Gb Ab A Bb B
- Db E F Gb G A Bb B
- Db E F Gb G Ab A B
- Db E F Gb G Ab A Bb
- Db E F Gb G Ab Bb B
- Db E Gb G Ab A Bb B
- Db Eb E F Ab A Bb B
- Db Eb E F G A Bb B
- Db Eb E F G Ab A B
- Db Eb E F G Ab A Bb
- Db Eb E F G Ab Bb B
- Db Eb E F Gb A Bb B
- Db Eb E F Gb Ab A B
- Db Eb E F Gb Ab A Bb
- Db Eb E F Gb Ab Bb B
- Db Eb E F Gb G A B
- Db Eb E F Gb G A Bb
- Db Eb E F Gb G Ab A
- Db Eb E F Gb G Ab B
- Db Eb E F Gb G Ab Bb
- Db Eb E F Gb G Bb B
- Db Eb E G Ab A Bb B
- Db Eb E Gb Ab A Bb B
- Db Eb E Gb G A Bb B
- Db Eb E Gb G Ab A B
- Db Eb E Gb G Ab A Bb
- Db Eb E Gb G Ab Bb B
- Db Eb F G Ab A Bb B
- Db Eb F Gb Ab A Bb B
- Db Eb F Gb G A Bb B
- Db Eb F Gb G Ab A B
- Db Eb F Gb G Ab A Bb
- Db Eb F Gb G Ab Bb B
- Db Eb Gb G Ab A Bb B
- Db F Gb G Ab A Bb B
- E F Gb G Ab A Bb B
- Eb E F G Ab A Bb B
- Eb E F Gb Ab A Bb B
- Eb E F Gb G A Bb B
- Eb E F Gb G Ab A B
- Eb E F Gb G Ab A Bb
- Eb E F Gb G Ab Bb B
- Eb E Gb G Ab A Bb B
- Eb F Gb G Ab A Bb B