Midi note length

I’ve set the quantize value to 1/128 indeed because I thought I could draw a shorter note but it doesn’t worked.
When I draw a note, let’s say at the begining at bar 1 with Q at 1/128, the note length goes to bar 1.2 immediatly, why is this the minimum note length I got? same with the cursor, why can’t I reduce the note (like Re4 in black) by the half of its length (like note La#3 below which I had to cut manually of its half).
I am confused, reducing or enlarging a midi note with the cursor is something I can do with any other DAW so whats the trick here??