Origin of ordinal1
Related formsor·di·nal·ly, adverb
Examples from the Web for ordinally
The relation-number of a relation is the class whose members are all those relations which are ordinally similar to it.
These animals are at least ordinally distinct from us in those grades of groups in which naturalists arrange animals.The Story of the Earth and Man|J. W. Dawson
Also, two relations need not be serial in order to be ordinally similar; but if one is serial, so is the other.