The invisible denominator
There is no such thing as a high ATR — only an ATR high relative to something.
A reading in isolation carries no information at all. Its whole meaning comes from the distribution it is being placed in, and the operator's mind supplies that distribution automatically and without announcement. That automatic supply is the problem: the reference is assembled from whatever the eye has recently seen, which means it is recency-weighted, chart-window-bounded and updated continuously. It also feels like perception rather than like a calculation, which is why it is rarely examined. The calibrated version does exactly the same operation with a denominator that was chosen deliberately and does not move.
Schematic. The instrument's actual volatility over a quarter, with the eye's rolling reference tracking just behind it. Where the two lines converge, the current reading stops looking unusual — regardless of where it sits in the quarter's distribution.

