to make it simple:
calculate the amount of combinations of pixel values . the higher the better.
the equasion is:
Xdpi * Y dpi * gray level#. thats it !
but, this formula assumes that the printer vendor makes all combinations usable. if the dot or spot is too big when you print 50% you might get a full covergae and max density, then all above 50% is useless. this is known to all vendors and they usualy adjust the printers accordingly to get the best performance.
example :
1200x1200x4 = 2400x2400. it is that simple.
Hmmm. Keeping in mind that, as far as I can find, there is no reference to X4 (or X8) on Canon's or Konica's web site nor in their product specifications nor product literature. Nothing where they say, for example, 1200 x 1200 x4. So it is all speculation as to what is meant 'cause, so far, we have no reference.
That being said, they probably mean "greyscale" capability. Grayscale = Variable optical density per pixel.
There are several ways to achieve greyscale capability - none of which change addressability - which is what 1200, or 800, or 2400 dpi means. Grayscale is desirable in case of low addressability but not required if using small drops with high addressability. For contone images or photos, although grayscaling does not change the actual resolution it is like doubling or tripling the printing resolution with little or no impact on throughput.
The basic grayscale methods. The grid is the addressability grid - what is incorrectly referred to as "dpi"
From the left:
• Creating drops of variable size. For example, in one device, the drop size can be either 5pL, 11pL, or 27pL (pL = picoLiter).
•Printing more than one drop per pixel by causing drops to merge in flight to create larger drops.
• Using lighter inks, e.g., use of CMYKLcLm
For text and line work, grayscale by using multiple drop sizes also provides gives the ability to smooth curves without having to increase addressability (incorrectly referred to as "dpi").
Grayscale capability is desirable in case of low addressability but, provided that the drop size is small, is not required on devices with high addressability.
Again "DPI" does not indicate resolution or the minimum size of a mark that can be made.
best, gordon p