Ig thats where most of my confusion comes from, to me saying sth is a “spectrum” always evokes sth along the lines of gay <--------------------> straight (ie one dimensional) with things mapping into this interval. But ig if you also include more than one axis in your meaning of “spectrum” there wouldn’t be as straight forward of an ordering for any given “spectrum”. + Like @[email protected] said technically even the 1 dimensional spectrum can have more than one order and the “obvious” one is just obvious because we are used to it from another context not because its specifically relevant to this situation.

How is a spectrum supposed to not have a total ordering? To me saying sth is a spectrum always invokes an image of being able to map to/represent the property as an interval (unbounded or bounded) which should always give it a total ordering right?