There are 220 ways to traverse one octave in 9 steps. This is the complete listing.
Among the Enneatonic Scales are symmetrical scales that composer Olivier Messiaen called "modes of limited transposition", in his book La technique de mon langage musical ("The Technique of my Musical Language").
This scale was also a defining part of the musical language of composer-pianist Alexander Tcherepnin, and because of this it also came to be known as the "Tcherepnin scale", particularly because famous author-composer Nicolas Slonimsky named it thus in his 1968 book Alexander Tcherepnin Septuagenarian (pg. 19–20).
The genius jazz/rock guitarist-composer Allan Holdsworth made extensive use of this scale and listed it among his "10 most usable scales".
We will generally call this scale "Messiaen 3".
- C D E F G Ab A Bb B
- C D E F Gb Ab A Bb B
- C D E F Gb G A Bb B
- C D E F Gb G Ab A B
- C D E F Gb G Ab A Bb
- C D E F Gb G Ab Bb B
- C D E Gb G Ab A Bb B
- C D Eb E F Ab A Bb B
- C D Eb E F G A Bb B
- C D Eb E F G Ab A B
- C D Eb E F G Ab A Bb
- C D Eb E F G Ab Bb B
- C D Eb E F Gb A Bb B
- C D Eb E F Gb Ab A B
- C D Eb E F Gb Ab A Bb
- C D Eb E F Gb Ab Bb B
- C D Eb E F Gb G A B
- C D Eb E F Gb G A Bb
- C D Eb E F Gb G Ab A
- C D Eb E F Gb G Ab B
- C D Eb E F Gb G Ab Bb
- C D Eb E F Gb G Bb B
- C D Eb E G Ab A Bb B
- C D Eb E Gb Ab A Bb B
- C D Eb E Gb G A Bb B
- C D Eb E Gb G Ab A B
- C D Eb E Gb G Ab A Bb
- C D Eb E Gb G Ab Bb B
The Tcherepnin Scale - Key of C - Messiaen Mode 3 - C D Eb F G Ab A Bb B
- C D Eb F Gb Ab A Bb B
- C D Eb F Gb G A Bb B
- C D Eb F Gb G Ab A B
- C D Eb F Gb G Ab A Bb
- C D Eb F Gb G Ab Bb B
- C D Eb Gb G Ab A Bb B
- C D F Gb G Ab A Bb B
- C Db D E F Ab A Bb B
- C Db D E F G A Bb B
- C Db D E F G Ab A B
- C Db D E F G Ab A Bb
- C Db D E F G Ab Bb B
- C Db D E F Gb A Bb B
- C Db D E F Gb Ab A B
- C Db D E F Gb Ab A Bb
The Tcherepnin Scale - Key of D - Messiaen Mode 3 - C Db D E F Gb Ab Bb B
- C Db D E F Gb G A B
- C Db D E F Gb G A Bb
- C Db D E F Gb G Ab A
- C Db D E F Gb G Ab B
- C Db D E F Gb G Ab Bb
- C Db D E F Gb G Bb B
- C Db D E G Ab A Bb B
- C Db D E Gb Ab A Bb B
- C Db D E Gb G A Bb B
- C Db D E Gb G Ab A B
- C Db D E Gb G Ab A Bb
- C Db D E Gb G Ab Bb B
- C Db D Eb E Ab A Bb B
- C Db D Eb E F A Bb B
- C Db D Eb E F Ab A B
- C Db D Eb E F Ab A Bb
- C Db D Eb E F Ab Bb B
- C Db D Eb E F G A B
- C Db D Eb E F G A Bb
- C Db D Eb E F G Ab A
- C Db D Eb E F G Ab B
- C Db D Eb E F G Ab Bb
- C Db D Eb E F G Bb B
- C Db D Eb E F Gb A B
- C Db D Eb E F Gb A Bb
- C Db D Eb E F Gb Ab A
- C Db D Eb E F Gb Ab B
- C Db D Eb E F Gb Ab Bb
- C Db D Eb E F Gb Bb B
- C Db D Eb E F Gb G A
- C Db D Eb E F Gb G Ab
- C Db D Eb E F Gb G B
- C Db D Eb E F Gb G Bb
- C Db D Eb E G A Bb B
- C Db D Eb E G Ab A B
- C Db D Eb E G Ab A Bb
- C Db D Eb E G Ab Bb B
- C Db D Eb E Gb A Bb B
- C Db D Eb E Gb Ab A B
- C Db D Eb E Gb Ab A Bb
- C Db D Eb E Gb Ab Bb B
- C Db D Eb E Gb G A B
- C Db D Eb E Gb G A Bb
- C Db D Eb E Gb G Ab A
- C Db D Eb E Gb G Ab B
- C Db D Eb E Gb G Ab Bb
- C Db D Eb E Gb G Bb B
- C Db D Eb F Ab A Bb B
- C Db D Eb F G A Bb B
- C Db D Eb F G Ab A B
- C Db D Eb F G Ab A Bb
- C Db D Eb F G Ab Bb B
- C Db D Eb F Gb A Bb B
- C Db D Eb F Gb Ab A B
- C Db D Eb F Gb Ab A Bb
- C Db D Eb F Gb Ab Bb B
- C Db D Eb F Gb G A B
- C Db D Eb F Gb G A Bb
- C Db D Eb F Gb G Ab A
- C Db D Eb F Gb G Ab B
- C Db D Eb F Gb G Ab Bb
- C Db D Eb F Gb G Bb B
- C Db D Eb G Ab A Bb B
- C Db D Eb Gb Ab A Bb B
- C Db D Eb Gb G A Bb B
- C Db D Eb Gb G Ab A B
- C Db D Eb Gb G Ab A Bb
- C Db D Eb Gb G Ab Bb B
- C Db D F G Ab A Bb B
- C Db D F Gb Ab A Bb B
- C Db D F Gb G A Bb B
- C Db D F Gb G Ab A B
- C Db D F Gb G Ab A Bb
- C Db D F Gb G Ab Bb B
- C Db D Gb G Ab A Bb B
- C Db E F G Ab A Bb B
- C Db E F Gb Ab A Bb B
- C Db E F Gb G A Bb B
- C Db E F Gb G Ab A B
- C Db E F Gb G Ab A Bb
- C Db E F Gb G Ab Bb B
- C Db E Gb G Ab A Bb B
- C Db Eb E F Ab A Bb B
- C Db Eb E F G A Bb B
- C Db Eb E F G Ab A B
The Tcherepnin Scale - Key of A - Messiaen Mode 3 - C Db Eb E F G Ab A Bb
- C Db Eb E F G Ab Bb B
- C Db Eb E F Gb A Bb B
- C Db Eb E F Gb Ab A B
- C Db Eb E F Gb Ab A Bb
- C Db Eb E F Gb Ab Bb B
- C Db Eb E F Gb G A B
- C Db Eb E F Gb G A Bb
- C Db Eb E F Gb G Ab A
- C Db Eb E F Gb G Ab B
- C Db Eb E F Gb G Ab Bb
- C Db Eb E F Gb G Bb B
- C Db Eb E G Ab A Bb B
- C Db Eb E Gb Ab A Bb B
- C Db Eb E Gb G A Bb B
- C Db Eb E Gb G Ab A B
- C Db Eb E Gb G Ab A Bb
- C Db Eb E Gb G Ab Bb B
- C Db Eb F G Ab A Bb B
- C Db Eb F Gb Ab A Bb B
- C Db Eb F Gb G A Bb B
- C Db Eb F Gb G Ab A B
- C Db Eb F Gb G Ab A Bb
- C Db Eb F Gb G Ab Bb B
- C Db Eb Gb G Ab A Bb B
- C Db F Gb G Ab A Bb B
- C E F Gb G Ab A Bb B
- C Eb E F G Ab A Bb B
- C Eb E F Gb Ab A Bb B
- C Eb E F Gb G A Bb B
- C Eb E F Gb G Ab A B
- C Eb E F Gb G Ab A Bb
- C Eb E F Gb G Ab Bb B
- C Eb E Gb G Ab A Bb B
- C Eb F Gb G Ab A Bb B
- D E F Gb G Ab A Bb B
- D Eb E F G Ab A Bb B
- D Eb E F Gb Ab A Bb B
- D Eb E F Gb G A Bb B
- D Eb E F Gb G Ab A B
- D Eb E F Gb G Ab A Bb
- D Eb E F Gb G Ab Bb B
- D Eb E Gb G Ab A Bb B
- D Eb F Gb G Ab A Bb B
- Db D E F G Ab A Bb B
- Db D E F Gb Ab A Bb B
- Db D E F Gb G A Bb B
- Db D E F Gb G Ab A B
- Db D E F Gb G Ab A Bb
- Db D E F Gb G Ab Bb B
- Db D E Gb G Ab A Bb B
- Db D Eb E F Ab A Bb B
- Db D Eb E F G A Bb B
- Db D Eb E F G Ab A B
- Db D Eb E F G Ab A Bb
- Db D Eb E F G Ab Bb B
- Db D Eb E F Gb A Bb B
- Db D Eb E F Gb Ab A B
- Db D Eb E F Gb Ab A Bb
- Db D Eb E F Gb Ab Bb B
- Db D Eb E F Gb G A B
- Db D Eb E F Gb G A Bb
- Db D Eb E F Gb G Ab A
- Db D Eb E F Gb G Ab B
- Db D Eb E F Gb G Ab Bb
- Db D Eb E F Gb G Bb B
- Db D Eb E G Ab A Bb B
- Db D Eb E Gb Ab A Bb B
- Db D Eb E Gb G A Bb B
- Db D Eb E Gb G Ab A B
- Db D Eb E Gb G Ab A Bb
- Db D Eb E Gb G Ab Bb B
- Db D Eb F G Ab A Bb B
- Db D Eb F Gb Ab A Bb B
- Db D Eb F Gb G A Bb B
The Tcherepnin Scale – Key of G – Messiaen Mode 3 - Db D Eb F Gb G Ab A B
- Db D Eb F Gb G Ab A Bb
- Db D Eb F Gb G Ab Bb B
- Db D Eb Gb G Ab A Bb B
- Db D F Gb G Ab A Bb B
- Db E F Gb G Ab A Bb B
- Db Eb E F G Ab A Bb B
- Db Eb E F Gb Ab A Bb B
- Db Eb E F Gb G A Bb B
- Db Eb E F Gb G Ab A B
- Db Eb E F Gb G Ab A Bb
- Db Eb E F Gb G Ab Bb B
- Db Eb E Gb G Ab A Bb B
- Db Eb F Gb G Ab A Bb B
- Eb E F Gb G Ab A Bb B