What is the term for a matrix whose columns are mutually orthogonal, but not necessarily othonormal?


I can't name such a matrix "orthogonal" because that would imply that all columns are unit vectors. By the way, why don't we name these matrices "orthonormal" instead of "orthogonal"? But that fight is over, I guess.


In other words, what is the term for a matrix $A$ for which $A^TA$ is a diagonal matrix, but not necessarily $I$?


One famous example are [Hadamard matrices](https://en.wikipedia.org/wiki/Hadamard_matrix). I'd like to have a shorter term than "matrix whose rows are mutually orthogonal".


For my purpose it would be sufficient to have such a term for square matrices, but I'm also interested in a more general term that also covers non-square matrices.



What is the term for a matrix whose columns are orthogonal?
Since it is a matrix of the form $OD$, with $D$ diagonal and $O$ orthogonal, in the need of a better term you may name it an "OD matrix", which at least is short and self-explanatory. 


*Rmk:* Curiously, OD matrices already exist, in Transportation Planning, where $OD$ stands for "Origin\Destination." 


