none vs time of day

none and time of day both are nouns.

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

As nouns, time of day is a hypernym of none; that is, time of day is a word with a broader meaning than none:

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

Other hypernyms of none include hour.

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

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

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