There are also several traditions that have scales/modes where certain note sequences (typical pairs) are only "allowed" in one direction (i.e you can play #3 a

There are also several traditions that have scales/modes where certain note sequences (typical pairs) are only "allowed" in one direction (i.e you can play #3 after #1 if you're ascending from #1 to #3, but not the other way around). This adds additional confusion to comparing scales/modes between cultures. We do have at least one such mode/scale in the western european classical tradition, but it is not widely used.