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Fig. 1 · D# double harmonic on the keyboard

piano scale

D♯ double harmonic

D♯1E♭2F𝄪3G♯4A♯5B♭6C𝄪7

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

The same sounds spelled from the other side are E♭ double harmonic.

on guitaron ukulele

Written out

Fig. 2 · D# 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

D♯HEW+HF𝄪HG♯WA♯HBW+HC𝄪HD♯

What is true of it

D♯ double harmonic is D♯, E, F𝄪, G♯, A♯, B and C𝄪, and back to D♯.

Its steps are H – W+H – H – W – H – W+H – H, where W is a whole step and H a half.

Written correctly it needs 7 alterations, F𝄪 and C𝄪 among them. That is what the letters force, and it is also why nobody writes music in this key: the same notes spelled from the other side are easier to read.

On the same tonic, D♯ harmonic major differs from it by exactly one note.

Chords made only of these notes

D♯majorD♯augaugmentedD♯maj7major seventhEmajorEmminorEdimdiminishedE7dominant seventhEmaj7major seventh

Found by testing every chord in the catalogue against these 7 sounds, not chosen.

Other scales on D♯

D♯ Phrygian dominantexoticD♯ Lydian dominantexoticD♯ alteredexoticD♯ majormajorD♯ natural minorminorD♯ harmonic minorminor

C dbl harmC♯ dbl harmD♭ dbl harmD dbl harmE dbl harmF dbl harmF♯ dbl harmG♭ dbl harmall 374