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Fig. 1 · A double harmonic · first 12 frets

guitar scale

A double harmonic

A1B♭♭2C♯3D4E5F♭6G♯7

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

on ukuleleon piano

Written out

Fig. 2 · A 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

AHB♭W+HC♯HDWEHFW+HG♯HA

What is true of it

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

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, A 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

C♯majorC♯mminorC♯augaugmentedDmminorDdimdiminishedFaugaugmentedAmajorAaugaugmented

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

Other scales on A

A Phrygian dominantexoticA Lydian dominantexoticA alteredexoticA majormajorA natural minorminorA harmonic minorminor

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