ukulele scale
B♭ whole tone
B♭1C2D3E♯4F♯♯5G♯♯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.
The same sounds spelled from the other side are A♯ whole tone.
Written out
Every accidental is written in, rather than left to a key signature, so the letters can be read one at a time.
The step pattern
B♭WCWDWEWF♯WG♯WB♭
What is true of it
B♭ whole tone is B♭, C, D, E, F♯ and G♯, and back to B♭.
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.
Chords made only of these notes
Found by testing every chord in the catalogue against these 6 sounds, not chosen.