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Movies are shot at 24 fps. TV shows are shot at 60 fps*.
* Are TV's still interlaced, such that you are only getting 30 fps of new material but the screen is refreshed at 60fps?
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No, nearly all flat HDTVs are progressive scan, meaning you are getting a refresh rate of 60 full frames per second on your screen. The whole interlacing thing is a throwback to tubes and rayguns. HOWEVER some OTA HD signals are still broadcast interlaced due to bandwidth considerations. 1080i is a very common OTA HD resolution, which is sent as 1920x540 top and bottom fields.
The big reason the industry has pushed so hard to get past 60hz is to allow the playback of native film sources (Blu Ray) in HD at home without judder. That is because a 60hz screen can't "divide by 24"... which means you get frame interpolation (known as the 3:2 pulldown) when viewing a 24hz movie on a 60hz screen, which can result in judder because you are left with merged and doubled frames. Monitors that can generate either a literal or "sweetened" 120hz CAN divide by 24 and thus they can replay native 24hz material without the judder that comes with 3:2 pulldown crap.