Zenith 146HP - hole diameter of central second hand

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Just measure the sweep seconds pinion. It's also a bit more complicated than that because you need to know the tube depth, and that varies by dial configuration not just movement.

If you're looking for a replacement seconds hand... Good luck! Replacement hands can be extremely difficult to order correctly (even if you have a source for the correct parts).
 
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Yes, I am looking for this information regarding a Zenith A3736.

So at the end, I need the tube depth and the tube diameter...
 
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You have the watch I presume? Measure it directly with a caliper.

Or hire your friendly watchmaker.