A diminished (whole–half)

A1B2C♭3D4E♭♭5F♭6F♯6G♯7

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

Written out

Fig. 2 · A 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.

AWBHCWDHE♭WFHF♯WG♯HA

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

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.