F diminished (half–whole)

F1G♭♭2A♭♭3A3B♯4C5D6E♭♭7

The same eight notes started a half step earlier: the scale that spells a dominant seventh with a flat ninth and a sharp ninth at once.

Written out

Fig. 2 · F diminished (half–whole), ascending

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

FHG♭WA♭HAWBHCWDHE♭WF

F diminished (half–whole) is F, G♭, A♭, A, B, C, D and E♭, and back to F.

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

Across the first twelve frets of the ukulele its notes fall in 34 places, which is what makes a scale a shape rather than a list.

Found by testing every chord in the catalogue against these 8 sounds, not chosen.