G Lydian dominant

G1A2B3C♯♯4D5E6F♭7

Raised fourth and flattened seventh at once — the fourth mode of melodic minor.

Written out

Fig. 2 · G Lydian dominant, ascending

Every accidental is written in, rather than left to a key signature, so the letters can be read one at a time.

GWAWBWC♯HDWEHFWG

G Lydian dominant is G, A, B, C♯, D, E and F, and back to G.

Its steps are W – W – W – H – W – H – W, where W is a whole step and H a half.

On the same tonic, G Lydian differs from it by exactly one note.

Across the first twelve frets of the ukulele its notes fall in 31 places, which is what makes a scale a shape rather than a list.

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