A method performed using a device having a first die (112, 202, 302) and a second die (114, 204, 304) defining an overlap print zone (210, 306) by applying ink of a first color and ink of a second color according to a sequential application hierarchy of colors defining an order of overlapping placement such that ink of the first color is not applied over the ink of the second color within the overlap print zone, the method comprising: with the first die (112, 202, 302): applying ink of the first color at full intensity to a media within a first region of the overlap print zone (210, 306) and applying ink of the first color at partial intensity over the media within a second region of the overlap print zone (210, 306), wherein the first region and the second region are side-by-side strips; and applying ink of the second color at partial intensity over a portion of the first region so as to define a third region of the overlap print zone (210, 306) such that a strip of the first color at full intensity is arranged between the second region and the third region; and with the second die (114, 204, 304): applying ink of the first color at partial intensity over the second region to complete the application of ink of the first color within the overlap print zone; applying ink of the second color at partial intensity over the third region, and applying ink of the second color at full intensity over the strip between the second region and the third region and over the second region, to complete the application of ink of the second color to the media, wherein the second region, the third region and the strip between the second region and the third region define parallel, non-overlapping adjacent strips on the media within the overlap print zone (210, 306), and wherein the first color is cyan and the second color is magenta. with the first die (112, 202, 302): applying ink of the first color at full intensity to a media within a first region of the overlap print zone (210, 306) and applying ink of the first color at partial intensity over the media within a second region of the overlap print zone (210, 306), wherein the first region and the second region are side-by-side strips; and applying ink of the second color at partial intensity over a portion of the first region so as to define a third region of the overlap print zone (210, 306) such that a strip of the first color at full intensity is arranged between the second region and the third region; and with the second die (114, 204, 304): applying ink of the first color at partial intensity over the second region to complete the application of ink of the first color within the overlap print zone; applying ink of the second color at partial intensity over the third region, and applying ink of the second color at full intensity over the strip between the second region and the third region and over the second region, to complete the application of ink of the second color to the media, applying ink of the first color at full intensity to a media within a first region of the overlap print zone (210, 306) and applying ink of the first color at partial intensity over the media within a second region of the overlap print zone (210, 306), wherein the first region and the second region are side-by-side strips; and applying ink of the second color at partial intensity over a portion of the first region so as to define a third region of the overlap print zone (210, 306) such that a strip of the first color at full intensity is arranged between the second region and the third region; and with the second die (114, 204, 304): applying ink of the first color at partial intensity over the second region to complete the application of ink of the first color within the overlap print zone; applying ink of the second color at partial intensity over the third region, and applying ink of the second color at full intensity over the strip between the second region and the third region and over the second region, to complete the application of ink of the second color to the media, applying ink of the first color at partial intensity over the second region to complete the application of ink of the first color within the overlap print zone; applying ink of the second color at partial intensity over the third region, and applying ink of the second color at full intensity over the strip between the second region and the third region and over the second region, to complete the application of ink of the second color to the media, wherein the second region, the third region and the strip between the second region and the third region define parallel, non-overlapping adjacent strips on the media within the overlap print zone (210, 306), and wherein the first color is cyan and the second color is magenta.