Hi, all, thanks for the answers.
If crossing irises is anything like crossing daylilies, then I guess "unreduced gametes" could come into play, and produce something from a cross of a diploid versus a tet. If I'm not mistaken, though, it would take a horrendous number of crosses to get even one viable seed.
Thanks, Kent, for the links on those two variegated irises. 'Striptease' looks interesting, so I will try to get that next year. I just did a search on it, and came upon the Mid America Garden link, and discovered that they introduced a variegated iris 'Leprechaun's Trick' this year.
My long term interest in a variegated iris (or anything else), is to have white variegation with a white flower, to go into my Moon Garden.

(It's been interesting, the plants that have come and gone from my garden, simply because of that one area... white flowered society garlic being one (actually, two) of them.) 'Leprechaun's Trick' already fits that bill, but I wouldn't be able to resist tinkering (assuming I were willing to cough up the price). And I could try crossing 'Striptease' with something white....
Lucy, sorry to hear that
I. pallida is not that hardy. It would be fine for me here in Zone 9, but not for my sister in Kansas.

I did figure out that the variegated plant must be a selection from the species, and if I remember what I read correctly, there is variation in flower color in the species, including white. That makes me wonder if the variegated plant was selfed, if white flowered variegated seedlings might be among the offspring.
Sherry, I did have a variegated iris from BJ Iris, 'Fantastreaks', but I managed to kill it off before I ever saw it bloom, and seemingly they don't carry that plant anymore.

(How did I kill it off? I don't know, but probably by overwatering...)
Thanks to everyone who responded.