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
FWGWAHB♭WCHD♭W+HEHF
What is true of it
F harmonic major is F, G, A, B♭, C, D♭ and E, and back to F.
Its steps are W – W – H – W – H – W+H – H, where W is a whole step and H a half.
On the same tonic, F major differs from it by exactly one note.
Across the first twelve frets of the ukulele its notes fall in 32 places, which is what makes a scale a shape rather than a list.
Chords made only of these notes
CmajorC7dominant seventhD♭dimdiminishedD♭augaugmentedEdimdiminishedFmajorFaugaugmentedFmaj7major seventh
Found by testing every chord in the catalogue against these 7 sounds, not chosen.
Other scales on F
C harm majC♯ harm majD♭ harm majD harm majD♯ harm majE♭ harm majE harm majF♯ harm majall 374