ukulele scale
E♭ diminished (whole–half)
Eight notes alternating whole step and half step. Symmetrical, so it repeats every minor third.
The same sounds spelled from the other side are D♯ diminished (whole–half).
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
What is true of it
E♭ diminished (whole–half) is E♭, F, G♭, A♭, B♭♭, C♭, C and D, and back to E♭.
Its steps are W – H – W – H – W – H – W – H, where W is a whole step and H a half.
Written correctly it needs 6 alterations, B♭♭ among them. That is what the letters force, and it is also why nobody writes music in this key: the same notes spelled from the other side are easier to read.
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.
Chords made only of these notes
Found by testing every chord in the catalogue against these 8 sounds, not chosen.
Other scales on E♭
C dim W-HC♯ dim W-HD♭ dim W-HD dim W-HE dim W-HF dim W-HF♯ dim W-HG♭ dim W-Hall 374