F whole tone

F1G2A3B♯4C♯♯5D♯♯6

Six notes, every step a whole one. There are only two of these scales in all, and every note can be heard as the tonic.

Written out

Fig. 2 · F whole tone, ascending

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

FWGWAWBWC♯WD♯WF

F whole tone is F, G, A, B, C♯ and D♯, and back to F.

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

Across the first twelve frets of the ukulele its notes fall in 26 places, which is what makes a scale a shape rather than a list.

Found by testing every chord in the catalogue against these 6 sounds, not chosen.