A test pattern is scanned to find ideal print-medium advance for a pen (or other marking device). The pattern has a medium; and, marked on it, image patches each with overlapped swaths stepped by different distances. At best there are different-color pens; and for each distance a set of patches, each with a patch for each color (preferably area fills at sensitive tones by color). All patches in a set are best adjacent along a scan direction, with alignment lines above each set across the whole pattern, and a nozzle-conditioning patch at each image patch. A processor prints the pattern, operates a sensor and uses its signals to find optimum advance. The system finds and prints with ideal advance for a most-active pen; or weighs pen activity to find an optimum for all pens based on certain statistical and/or prospective choices.