piano scale
E diminished (half–whole)
E1F♭2G♭3G♯3A♯♯4B5C♯6D♭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
EHFWGHG♯WA♯HBWC♯HDWE
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
C♯majorC♯mminorC♯dimdiminishedC♯7dominant seventhC♯m7minor seventhC♯m7♭5half-diminished seventhDdimdiminishedEmajor
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-WD♯ dim H-WE♭ dim H-WF dim H-WF♯ dim H-Wall 374