time of day vs none

time of day and none both are nouns.

Word	Noun	Adjective	Verb	Adverb
time of day	Yes	No	No	No
none	Yes	Yes	No	Yes

As nouns, none is a hyponym of time of day; that is, none is a word with a more specific, narrower meaning than time of day:

time of day: clock time
none: a canonical hour that is the ninth hour of the day counting from sunrise

time of day (noun)	none (noun)
clock time	a service in the Roman Catholic Church formerly read or chanted at 3 PM (the ninth hour counting from sunrise) but now somewhat earlier
	a canonical hour that is the ninth hour of the day counting from sunrise

time of day (adjective)	none (adjective)
	not any; entity, negative pronoun

time of day (adverb)	none (adverb)
	not at all or in no way