EADGBE1234567891011121b2345b67145b671b23471b2345b6345b671b25b671b23451b2345b671
Fig. 1 · E double harmonic · first 12 frets

guitar scale

E double harmonic

E1F♭2G♯3A4B5C♭6D♯7

Two augmented seconds in one scale, one above the tonic and one below the octave.

on ukuleleon piano

Written out

Fig. 2 · E 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

EHFW+HG♯HAWBHCW+HD♯HE

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 46 places, which is what makes a scale a shape rather than a list.

Chords made only of these notes

CaugaugmentedEmajorEaugaugmentedEmaj7major seventhFmajorFmminorFdimdiminishedF7dominant seventh

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 harmD♯ dbl harmE♭ dbl harmF dbl harmF♯ dbl harmall 374