I think that the terminology is somewhat arbitrary here. But here is my reasoning.

If your game starts with X then X, the second strike is definitely part of the second frame, not the first. It affects the scoring of the first frame, but it is not part of it.

Similarly if you get a strike in the 10'th frame then you need to throw 2 more balls to find your final score. Because you are not going to throw any more frames, you get the chance to throw them right away. But I would like to classify them for scoring purposes as being no more part of the tenth frame than the second strike was part of the first frame. Certainly the scoring would not be any different if the custom was that the extra balls were thrown as part of an 11'th and 12'th (if needed) frames which were not themselves scored.

So in terms of when they are thrown, sure. They are thrown as part of the 10'th frame. But in terms of having a simple consistent mental model of what the scoring means, I find that it makes more sense to think of them as being outside the first 10 frames.

In reply to Re (tilly) 2: Having messed this up enough... by tilly
in thread (Golf) Let's go bowling by virtualsue

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