C Lydian dominant

C1D2E3F♯♯4G5A6B♭♭7

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

Written out

Fig. 2 · C 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.

CWDWEWF♯HGWAHB♭WC

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

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

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

Across the first twelve frets of the ukulele its notes fall in 32 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.