quite another matter Definition

quite
adverb

1. Completely; entirely.

Example: I quite understand
Example: It's not quite clear what happened
Thesaurus: completely, totally, entirely, wholly.
2. To a high degree.

Example: quite exceptional
3. Rather; fairly; to some or a limited degree.

Example: quite a nice day
Example: quite enjoyed it
4. Used in a reply: I agree, see your point, etc

Form: quite so (also)

Idiom: not quite

Hardly; just short of or less than a specified thing.

Idiom: quite a ... (quite an ...)

A striking, impressive, daunting, challenging, etc ....
Example: That was quite a night

Idiom: quite a few

colloq
A reasonably large number of (people or things, etc).
Example: quite a few people brought their kids

Idiom: quite another matter (quite another thing)

Very different.

Idiom: quite some ...

A considerably large amount of ....
Example: I might be quite some time

Idiom: quite something

Very impressive.
Example: His flat is quite something

Etymology: 14c: from (adj) quit.