piano scale
E♭ double harmonic
E♭1F♭♭2G3A♭4B♭5C♭♭6D7
Two augmented seconds in one scale, one above the tonic and one below the octave.
The same sounds spelled from the other side are D♯ double harmonic.
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♭W+HGHA♭WB♭HC♭W+HDHE♭
What is true of it
E♭ double harmonic is E♭, F♭, G, A♭, B♭, C♭ and D, and back to E♭.
Its steps are H – W+H – H – W – H – W+H – H, where W is a whole step and H a half.
On the same tonic, E♭ harmonic major differs from it by exactly one note.
Chords made only of these notes
Found by testing every chord in the catalogue against these 7 sounds, not chosen.
Other scales on E♭
E♭ Phrygian dominantexoticE♭ Lydian dominantexoticE♭ alteredexoticE♭ majormajorE♭ natural minorminorE♭ harmonic minorminor
C dbl harmC♯ dbl harmD♭ dbl harmD dbl harmE dbl harmF dbl harmF♯ dbl harmG♭ dbl harmall 374