Why is TV 29.97 frames per second?

Have you ever wonder why in North America at least, TV is set 29.97 frames per second? Matt Parker of standupmaths took a look at the historical quirks that gave this "disturbing" result (for North Americans... while in Europe it's a comfortable 25 fps)

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Then there is the odd ball PAL-M, using the System M that most NTSC is based on (where the 525 line, 30 fps comes from), but the PAL color encoding. So it is basically a hybrid, with 29.97 fps, 525 lines, but doesn't have tint control like NTSC. I think it was only used in Brazil.
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