Ink jet ink set

An ink jet printing method, comprising the steps of:

• A) providing an ink jet printer that is responsive to digital data signals;
• B) loading said printer with an ink jet recording element comprising a support having thereon an image-receiving layer;
• C) loading said printer with an ink jet ink set comprising:
• a) a cyan ink comprising a carrier and a sulfonated copper phthalocyanine dye;
• b) a magenta ink comprising a carrier and an anthrapyridone magenta dye;
• c) a yellow ink comprising a carrier and an azo-aniline yellow dye or metal complex yellow dye or mixtures thereof;
• and
• d) a black ink comprising a trisazo black dye of the following structure
• where
• Met is a metal atom;
• R1 is a phenyl or naphthalene radical substituted by 1, 2 or 3 substituents selected from the group consisting of OH, O(C1–C6)-alkyl, COOM, SO3M and NH2;
• R2 is C1–C6-alkyl, n is 0 or 1, X is a chemical bond or —CO— or —SO2—;
• R3 is H, methyl or O(C1–C6)-alkyl;
• R4 and R5 are each H, COOM or SO3M;
• R6 is a phenyl, pyridyl or pyrazole radical substituted by 1,2 or 3 substituents selected from the group consisting of OH, O(C1–C6)-alkyl, COOM, SO3M, NH2, NHaryl, NHacyl and phenylsulfo;
• and
• M is ammonium, H, K, Li, or Na;
• and
• D) printing on said image-receiving layer using said ink jet ink set in response to said digital data signals.