ukulele scale
C♯ natural minor
C♯1D♯2E♭3F♯4G♯5A♭6B♭7
The major scale started from its sixth degree: same seven notes, a different centre of gravity.
The same sounds spelled from the other side are D♭ natural minor.
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
C♯WD♯HEWF♯WG♯HAWBWC♯
What is true of it
C♯ natural minor is C♯, D♯, E, F♯, G♯, A and B, and back to C♯.
Its steps are W – H – W – W – H – W – W, where W is a whole step and H a half.
On the same tonic, C♯ harmonic minor differs from it by exactly one note.
Across the first twelve frets of the ukulele its notes fall in 30 places, which is what makes a scale a shape rather than a list.
Chords made only of these notes
C♯mminorC♯m7minor seventhD♯dimdiminishedD♯m7♭5half-diminished seventhEmajorEmaj7major seventhF♯mminorF♯m7minor seventh
Found by testing every chord in the catalogue against these 7 sounds, not chosen.