What note represents 1.25 beats. Or in other words 4 notes in 5/8 time.
There is no individual symbol representing 1.25 beats. To do it in 5/8 time, one would either use:
- eighth note (1 beat) tied to a 32nd note (.25 beats)
- a sixteenth (.5 beats) tied to a dotted sixteenth (.75 beats) (or vice versa)
- a four-tuplet
The first solution is better for a single note; the second might be easier for a reader uncomfortable with tuplets; but the last solution works better for the title problem of four equal divisions of five beats.