Two of my stamps, both on covers and both from the left side margin of the sheet, have this really confusing perforation size: 10 3/4![The gauge I use is a 'Lighthouse'. Also, I measured the perforations with a calibrated ruler: same 10 and 3/4 per any 2cm measured. None of the other sizes - like 10, 10.5 or 11 get to match the perforations as well as the 10 and 3/4 ...]
They seem flat plate and the size of the design is 19mmX21.85mm: these two stamps are the first 1cent1 I found with the height less than 22mm.
My logic is that paper shrinkage would occur along the fibers of the paper and would alter only one of the two: height or width. ... and there are two of them, each on different covers of different types of paper.
Below is one of the stamps showing 10 and 3/4 perforations, on all three perforated sides. The red stamp is perf 11.

To make sure, I compared the perforations with that of another 10and 3/4 stamp: Scott#3422 which has the vertical perf 10 and 3/4. Below you can see the result:

... and digital processing to compensate for my shaking hands:
