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
GWAHB♭WCHD♭WE♭HEWF♯HG
What is true of it
G diminished (whole–half) is G, A, B♭, C, D♭, E♭, E and F♯, and back to G.
Its steps are W – H – W – H – W – H – W – H, where W is a whole step and H a half.
Across the first twelve frets of the ukulele its notes fall in 36 places, which is what makes a scale a shape rather than a list.
Chords made only of these notes
CmajorCmminorCdimdiminishedC7dominant seventhCm7minor seventhCm7♭5half-diminished seventhD♭dimdiminishedE♭major
Found by testing every chord in the catalogue against these 8 sounds, not chosen.
Other scales on G
G whole tonesymmetricG diminished (half–whole)symmetricG majormajorG natural minorminorG harmonic minorminor
C dim W-HC♯ dim W-HD♭ dim W-HD dim W-HD♯ dim W-HE♭ dim W-HE dim W-HF dim W-Hall 374