Think about it. Please.

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I think that the original example of the mother observing her child's 'out-of-stepness' and thinking that it were s/he that was correct and the others incorrect could be useful as an explanation.

• The odd marcher - This person may or may not see his or her self as marching in step. Maybe s/he thinks that s/he marches in step, meaning that s/he is delusional and not accurately perceiving reality correctly. On the other hand, maybe the marcher knows the truth. In this case, is the 'out-of-stepness' deliberate or not? Maybe it is beyond the skill of the marcher to stay in step. Or maybe the marcher actively chooses to go against the band, either thinking that s/he is right or just to stick it to them.

• The mother - This person may or may not be delusional as well. Realizing that her child is not like the others, mom may be happy as (1) the child is at least marching, (2) sticking it to the band. Note that a priori, we assume that the mother is biased if we were to ask her to judge her child's performance. Is she a band director? Does she know the actual band director's goal? Does she know what the correct 'step' is?

• The other marchers - The other band members may or may not realize that the odd marcher is out of step. If they do, then what do they think? Do they figure that this is the best that the person can do, that they (individually) are all wrong or that the person is sticking it to them? Do any change their marching to be in unison with the lone marcher? We know that statistically that a few or some of the band members are, of course, delusional.

• The band director - Speaking of judging the child's performance, the band director may be somewhat more objective (s/he's probably delusional too, but for me today, everyone is...). Is this person's goal to show a band that marches in unison? If so, then s/he has failed. Is it his/her goal just to get everyone marching to the best of his or her ability? In this case then the band director is successful. The band director should know which is the correct 'step' (assuming this is the goal), and so could indicate which set is in error. That all said, I assume that the director would prefer that all marched in unison, and so the lone marcher would be in error.

• The random person on the street - This person, unless s/he is related to or is in league with the out of step marcher, the mom and/or the band director, may judge the whole scene otherwise. Assuming that bands typically march in unison to one beat (note that I was never in any band, and so make this assumption reservedly), this observer more likely would conclude that the lone marcher was out of step, that the mother (cheering on the child) was delusional and the band director was at best lax or at worse a complete failure. On the other hand, this person may not notice (enjoying the music and not caring about the band's stepping), may not care, or know that in the real world you always have some error.

What am I trying to say? Not exactly sure, with the exception that some of you are most likely delusional (and I might be as well), and that your judgment, your conclusions regarding who is and who is not out of step, may be due to your perspective and the information that you have within your head.