patrician vs aristocratical

patrician is a noun but aristocratical is not a noun.

Word	Noun	Adjective	Verb	Adverb
patrician	Yes	Yes	No	No
aristocratical	No	Yes	No	No

As adjectives, patrician and aristocratical are synonyms defined as:

patrician and aristocratical: belonging to or characteristic of the nobility or aristocracy

Other synonyms of patrician include aristocratic, blue-blooded, blue, gentle.

patrician (noun)	aristocratical (noun)
a member of the aristocracy
a person of refined upbringing and manners

patrician (adjective)	aristocratical (adjective)
belonging to or characteristic of the nobility or aristocracy	belonging to or characteristic of the nobility or aristocracy
befitting a person of noble origin