guitar scale
C double harmonic
C1D♭♭2E3F4G5A♭♭6B7
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
CHD♭W+HEHFWGHA♭W+HBHC
What is true of it
C double harmonic is C, D♭, E, F, G, A♭ and B, and back to C.
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, C 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
CmajorCaugaugmentedCmaj7major seventhD♭majorD♭mminorD♭dimdiminishedD♭7dominant seventhD♭maj7major seventh
Found by testing every chord in the catalogue against these 7 sounds, not chosen.
Other scales on C
C Phrygian dominantexoticC Lydian dominantexoticC alteredexoticC majormajorC natural minorminorC harmonic minorminor
C♯ dbl harmD♭ dbl harmD dbl harmD♯ dbl harmE♭ dbl harmE dbl harmF dbl harmF♯ dbl harmall 374