The C diminished half–whole scale has 8 notes: C, Db, D#, E, F#, G, A and Bb. Its formula is 1 b2 #2 3 #4 5 6 b7 and its steps, in tones, are ½ – 1 – ½ – 1 – ½ – 1 – ½ – 1.
The half–whole diminished scale alternates a semitone and a tone: eight symmetrical notes, used in jazz over altered dominant chords.
C diminished half–whole
C Db D# E F# G A Bb · 1 b2 #2 3 #4 5 6 b7
Colored dots: notes of the scale, the root is the darkest.