Originally posted by Bridewell
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It probably has more to do with intervals. One week was too soon. He was too nervous about getting caught, and "sated," or something, at any rate, so killing in less than a week wasn't very satisfying. On the other hand, by three weeks, he was a little "overdue," and maybe really itching to get out, darn the risks.
Phrasing that way is a little too cute-- what I mean is, that as time went on, the risk/benefit trade-off altered. The day after he'd just murdered, he probably didn't feel like doing it again right away, and he knew the police were on high alert. But with every day that passed, the urge got stronger than concerns about getting caught, and any other considerations he might have had-- if he had work or family obligations. You know, you can call in sick once a month, and probably get away with it, depending on what sort of worker you are, but once a week is going to get you called into the boss's office, no matter how much he likes you*.
There was probably a point, and it was probably pretty consistent, where he had to scratch the itch.
But circumstances may have changed things. A problem with the infrastructure at work giving him an unexpected day off may have led to him going on the prowl a week earlier than he might have otherwise done. A bad cold may have caused him to miss an opportunity. A chance to travel on someone else's dime may mean a victim some other place who still hasn't been connected to the Whitechapel crimes, and also a gap in the Whitechapel calendar.
But 1-3 weeks is still meaningful, albeit, the sample size is too small to be sure it's really a pattern. It probably means that the risk/benefit scale reached equilibrium at one week, and the itch got to "must scratch" at three.
*Just an example-- I am not proposing that JTR did anything in particular for a living, had a direct supervisor, who liked or did not like him, etc.
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