piano scale
F double harmonic
F1G♭♭2A3B♭4C5D♭♭6E7
Two augmented seconds in one scale, one above the tonic and one below the octave.
Written out
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
FHG♭W+HAHB♭WCHD♭W+HEHF
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.
Chords made only of these notes
D♭augaugmentedFmajorFaugaugmentedFmaj7major seventhG♭majorG♭mminorG♭dimdiminishedG♭7dominant 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