piano scale
E♭ diminished (half–whole)
E♭1F♭♭2G♭♭3G3A♯4B♭5C6D♭♭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.
The same sounds spelled from the other side are D♯ diminished (half–whole).
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
E♭HF♭WG♭HGWAHB♭WCHD♭WE♭
What is true of it
E♭ diminished (half–whole) is E♭, F♭, G♭, G, A, B♭, C and D♭, and back to E♭.
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 E♭
E♭ whole tonesymmetricE♭ diminished (whole–half)symmetricE♭ majormajorE♭ natural minorminorE♭ harmonic minorminor
C dim H-WC♯ dim H-WD♭ dim H-WD dim H-WE dim H-WF dim H-WF♯ dim H-WG♭ dim H-Wall 374