"Off-frame" animation cycle

Quick question:

Is it possible to cycle an animation in Blender in such a way that it does not repeat on an exact frame, but so that it is slightly off?

Here is an example to clarify what I’m on about. I want to tell Blender:

“Repeat the animation 30 times for the duration of 1000 frames (= animation repeats every 33.3333333… frames)”

How can this be achieved? Thanks

This thread can be locked, my q was already answered over at blender stackexchange: http://blender.stackexchange.com/questions/64185/off-frame-animation-cycle