D diminished (half–whole)

D1E♭♭2F♭3F♯3G♯♯4A5B6C♭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 · D 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.

DHE♭WFHF♯WG♯HAWBHCWD

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

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.