transpose vs counterchange

transpose is a noun but counterchange is not a noun.

Word	Noun	Adjective	Verb	Adverb
transpose	Yes	No	Yes	No
counterchange	No	No	Yes	No

As verbs, transpose and counterchange are synonyms defined as:

Other synonyms of transpose include interchange.

transpose (noun)	counterchange (noun)
a matrix formed by interchanging the rows and columns of a given matrix

transpose (verb)	counterchange (verb)
change the order or arrangement of	cause to change places
change key
cause to change places
exchange positions without a change in value
transfer from one place or period to another
put (a piece of music) into another key
transfer a quantity from one side of an equation to the other side reversing its sign, in order to maintain equality