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Fig. 1 · F# double harmonic · first 12 frets

ukulele scale

F♯ double harmonic

F♯1G♭2A♯3B4C♯5D♭6E♯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 G♭ double harmonic.

on guitaron piano

Written out

Fig. 2 · F# 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

F♯HGW+HA♯HBWC♯HDW+HE♯HF♯

What is true of it

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

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, F♯ harmonic major differs from it by exactly one note.

Across the first twelve frets of the ukulele its notes fall in 29 places, which is what makes a scale a shape rather than a list.

Chords made only of these notes

DaugaugmentedF♯majorF♯augaugmentedF♯maj7major seventhGmajorGmminorGdimdiminishedG7dominant seventh

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

Other scales on F♯

F♯ Phrygian dominantexoticF♯ Lydian dominantexoticF♯ alteredexoticF♯ majormajorF♯ natural minorminorF♯ harmonic minorminor

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