My first thought would also be as sparklewings has said, the length of the sleep cycle. Unless you have been observing your LOs sleep cycle length since birth or a few months and know that the length is not 38mins.
I believe Tracy said at 6 months the sleep cycle begins to lengthen until it becomes the length of an adults. from reading many many threads on the forums I've never seen a lengthening sleep cycle for a 6 month old but it must happen at some point because by around 12 months most seem to have longer cycles.
You could watch your LO through a nap, you would likely be able to see the first transition to time it.