A thermal inkjet printing system, comprising: a print cartridge having a printhead in fluid communication with an ink source for printing wherein the printhead remains stationary on the printing system as a print medium moves relative to the printhead for printing an image on the print medium; wherein the printhead further comprises a first column of a plurality of nozzles and a second column of a plurality of nozzles on the printhead for ejecting ink onto a print medium in droplet form and wherein each of the nozzles in the first column are spaced apart from one another, the nozzles in the second column are spaced apart from one another and each of the nozzles in the first column do not share either a vertical axis or horizontal axis with any of the nozzles in the second column; wherein the printhead is able to eject ink drops at a maximum frequency of f which produces a horizontal dot density which matches a vertical dot density when nozzles in the first and second columns (30, 32) are fired simultaneously and the print medium and printhead are moving relative to one another up to a maximum print speed of x; and, a controller, in electrical communication with the printhead and in response to print command input relative to the image to be printed in a single pass of the print medium moving relative to printhead, transmits a set of print control signals when the print medium is moving at a rate of speed of up to about 2 x such that ink is ejected from the nozzles in the first and second columns (30, 32) in alternating succession forming a plurality of ink drop columns on the print medium and the image is printed on the print medium in a single pass of the print medium moving relative to the print cartridge, and the first column of nozzles form ink drop columns horizontally spaced from one another on the print medium, and the second column of nozzles form an ink drop column between the successive ink drop columns formed by the first column of nozzles; wherein the controller transmits a second set of print control signals to the printhead when the print medium is moving at the print speed of x so nozzles in both columns are fired simultaneously to produce an image having a maximum horizontal and vertical dot density; and wherein for a selected print speed of x the controller selects all pixels in each column for printing to generate an image at a maximum horizontal dot density wherein x is a maximum print speed at which the maximum dot density can be achieved. a print cartridge having a printhead in fluid communication with an ink source for printing wherein the printhead remains stationary on the printing system as a print medium moves relative to the printhead for printing an image on the print medium; wherein the printhead further comprises a first column of a plurality of nozzles and a second column of a plurality of nozzles on the printhead for ejecting ink onto a print medium in droplet form and wherein each of the nozzles in the first column are spaced apart from one another, the nozzles in the second column are spaced apart from one another and each of the nozzles in the first column do not share either a vertical axis or horizontal axis with any of the nozzles in the second column; wherein the printhead is able to eject ink drops at a maximum frequency of f which produces a horizontal dot density which matches a vertical dot density when nozzles in the first and second columns (30, 32) are fired simultaneously and the print medium and printhead are moving relative to one another up to a maximum print speed of x; and, a controller, in electrical communication with the printhead and in response to print command input relative to the image to be printed in a single pass of the print medium moving relative to printhead, transmits a set of print control signals when the print medium is moving at a rate of speed of up to about 2 x such that ink is ejected from the nozzles in the first and second columns (30, 32) in alternating succession forming a plurality of ink drop columns on the print medium and the image is printed on the print medium in a single pass of the print medium moving relative to the print cartridge, and the first column of nozzles form ink drop columns horizontally spaced from one another on the print medium, and the second column of nozzles form an ink drop column between the successive ink drop columns formed by the first column of nozzles; wherein the controller transmits a second set of print control signals to the printhead when the print medium is moving at the print speed of x so nozzles in both columns are fired simultaneously to produce an image having a maximum horizontal and vertical dot density; and wherein for a selected print speed of x the controller selects all pixels in each column for printing to generate an image at a maximum horizontal dot density wherein x is a maximum print speed at which the maximum dot density can be achieved.