piano scale
C diminished (half–whole)
C1D♭♭2E♭♭3E3F♯♯4G5A6B♭♭7
The same eight notes started a half step earlier: the scale that spells a dominant seventh with a flat ninth and a sharp ninth at once.
Written out
Every accidental is written in, rather than left to a key signature, so the letters can be read one at a time.
The step pattern
CHD♭WE♭HEWF♯HGWAHB♭WC
What is true of it
C diminished (half–whole) is C, D♭, E♭, E, F♯, G, A and B♭, and back to C.
Its steps are H – W – H – W – H – W – H – W, where W is a whole step and H a half.
Chords made only of these notes
CmajorCmminorCdimdiminishedC7dominant seventhCm7minor seventhCm7♭5half-diminished seventhD♭dimdiminishedE♭major
Found by testing every chord in the catalogue against these 8 sounds, not chosen.
Other scales on C
C whole tonesymmetricC diminished (whole–half)symmetricC majormajorC natural minorminorC harmonic minorminor
C♯ dim H-WD♭ dim H-WD dim H-WD♯ dim H-WE♭ dim H-WE dim H-WF dim H-WF♯ dim H-Wall 374