EADGBE123456789101112b2345b671b25b671b23471b2345b67345b671b23b671b2345b6b2345b671b2
Fig. 1 · Eb double harmonic · first 12 frets

guitar 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.

on ukuleleon piano

Written out

Fig. 2 · Eb double harmonic, ascending

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.

Across the first twelve frets of the guitar its notes fall in 47 places, which is what makes a scale a shape rather than a list.

Chords made only of these notes

E♭majorE♭augaugmentedE♭maj7major seventhGmajorGmminorGaugaugmentedA♭mminorA♭dimdiminished

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