harmony vs harmonical

harmony is a noun but harmonical is not a noun.

Word	Noun	Adjective	Verb	Adverb
harmony	Yes	No	No	No
harmonical	No	Yes	No	No

harmony (noun)	harmonical (noun)
an agreeable sound property
compatibility in opinion and action
agreement of opinions
the structure of music with respect to the composition and progression of chords
a harmonious state of things in general and of their properties (as of colors and sounds); congruity of parts with one another and with the whole

harmony (adjective)	harmonical (adjective)
	involving or characterized by harmony