This is not a terribly good photo, but I think it conveys the information.
On a typical 20" monitor, displaying at 1:1, it will end up being about 6x linear magnification.
Note the physical printout is quite small so you are seeing a very zoomed in image.
FYI, the backlit film in this picture is intended to be mounted in the Bezel space and LEDs will indicate which buttons are used with each game.
The purpose of the picture is that I'm trying to show the resolution capability of the print service that does these backlit marquees.
I measured the LPI and it works out to be about 65lpi.
At this resolution the gradients are smooth.
The bottom line:
A discerning eye can see the jaggies, but barely if viewed at 12 inches. (I consider myself to have a discerning eye.)
At 18 inches from the eye, the perceived resolution/frequency increases such that I cannot see the jaggies any more.Since you don't have the printout, I can simulate the effect for you.
Based on my calculations, if you have a 20" monitor and you put the picture below onto your monitor at 1:1, and then stand about 5.5ft back, that's close to what I'm seeing at 12in away from the paper.
Then if you stand back about 8ft 10in, and look, that's close to what I'm seeing at 18in.
My day-to-day printer at home is a near photo quality 1200x1200 DPI color Postscript laser, so my frame of reference may have skewed my initial comments, but
65 LPI (720 DPI) is really quite acceptable, and IMHO, certainly adequate for a marquee... it's just at lot more jagged than my 1200DPI laser
Trivia: As we move back away from an image, the apparent image frequency (this is sort of like image resolution) increases.
The frequency can get so high that it's beyond what our eyes can see.
For example, a series of very thin white and black lines will look grey (instead of separately being black and white) if viewed from far enough back.
Similarly, jaggies are no longer visible because of this increase in frequency (or increase in perceived resolution)
This examples better demonstrates human perception of resolution:
http://www.interestingillusions.com/en/top-rated/oliva-angry-calm/In this link, you have to get about 8ft back from the screen to see the effect.
Also note that it'd be much more difficult to see jaggies in a smooth gradient image such as a photo. (For example, look at the gradients inside the drawn buttons. The jaggies are not apparent.)
The triangles around the joystick are near the "worst case situation" for jaggies because of the abrupt color change (high frequency) occurring there.
The marquees I have would be better representations but unfortunately I don't have them with me because they are at my friend's place as he is assembling the cabinets.