Umm... well so far we've gotten a new k at 1/1 month, 1/2 month, and 1/3 month...
7.5 days, 6 days, 5 days??? Somehow I doubt it.
Still, a guess of 7 or 8 days for the next point doesn't seem that far off. Then maybe a few week long intervals. Who knows? I'm a topologist.