F diminished (whole–half)

F1G2A♭♭3B♭4C♭♭5D♭♭6D6E7

Eight notes alternating whole step and half step. Symmetrical, so it repeats every minor third.

Written out

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

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

FWGHA♭WB♭HC♭WD♭HDWEHF

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

Its steps are W – H – W – H – W – H – W – H, 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.