Difference between Incomparable and Unique

INCOMPARABLE vs UNIQUE: NOUN

In ornithology, the painted finch, Cyanospiza or Passerina ciris, more commonly called nonpareil.

Such that comparison is impossible; unsuitable for comparison or lacking features that can be compared
So outstanding as to be beyond comparison; unsurpassed.
So much better than another as to be beyond comparison; matchless or unsurpassed.
Not able to be compared.
Being such that comparison is impossible; incommensurable.

Highly unusual or rare but not the single instance
The single one of its kind
Radically distinctive and without equal
Being without a like or equal; unmatched; unequaled; unparalleled; single in kind or excellence; sole.
Being the only one of its kind; unequaled, unparalleled or unmatched.
Of a feature, such that only one holder has it.
Of a rare quality.
Unusual.
(followed by `to') applying exclusively to a given category or condition or locality

Not comparable; admitting of no comparison; especially, without a match, rival, or peer; unequaled; transcendent.
Synonyms Matchless, peerless, unrivaled, unparalleled, nonpareil.

Having no like or equal; unmatched; sole; unequaled; single in its kind or excellence: often used relatively, and then signifying rare, unusual.
Only; single.
In mathematics, unambiguous and singly determinate.

One, Alone, Incommensurable, Unequalled, Uncomparable, Unrivalled, Unique, Nonpareil, Matchless, Unmatchable, Unmatched, Unrivaled, Unequaled, Unparalleled, Peerless

Exceptional, Unmatched, Unrivaled, Distinct, Distinctive, Alone, Single, Uncomparable, Unequalled, Specific, Incomparable, Unusual, Singular, Unequaled, Unparalleled

One, Alone, Incommensurable, Unequalled, Uncomparable, Unrivalled, Unique, Nonpareil, Matchless, Unmatchable, Unmatched, Unrivaled, Unequaled, Unparalleled, Peerless

Exceptional, Unmatched, Unrivaled, Distinct, Distinctive, Alone, Single, Uncomparable, Unequalled, Specific, Incomparable, Unusual, Singular, Unequaled, Unparalleled

Your invoice should have a unique identification number, which is basically a number attached to your invoice that is unique to it.
Wine is a unique product, much like art is a unique product.
This may be a result of technical challenges unique to that program or due to biology risk which is unique to every program.
Unique Equipment, as the name implies, is Equipment that is unique in Last Epoch.
ID column with unique code the other one also had ID column which is NOT unique.
One can expect that these pooled ligations will produce a unique sequence so long as there is only one unique organization of the oligonucleotides.
Directly or indirectly destroy a unique paleontological resource or site or unique geologic feature?
All agents have unique identities; for simplicity, we define these identities as unique URLs.
This example uses the UNIQUE function to extract unique values.
This unique annual celebration showcases unique art to everyone.