ukulele scale
A♯ Locrian
A♯1B♭2C♯♭3D♯4E♭5F♯♭6G♯♭7
The only mode of the major scale whose fifth is diminished, which is why its tonic chord cannot rest.
The same sounds spelled from the other side are B♭ Locrian.
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
A♯HBWC♯WD♯HEWF♯WG♯WA♯
What is true of it
A♯ Locrian is A♯, B, C♯, D♯, E, F♯ and G♯, and back to A♯.
Its steps are H – W – W – H – W – W – W, where W is a whole step and H a half.
On the same tonic, A♯ Phrygian differs from it by exactly one note.
Across the first twelve frets of the ukulele its notes fall in 29 places, which is what makes a scale a shape rather than a list.
Chords made only of these notes
C♯mminorC♯m7minor seventhD♯mminorD♯m7minor seventhEmajorEmaj7major seventhF♯majorF♯7dominant seventh
Found by testing every chord in the catalogue against these 7 sounds, not chosen.