I assume everyone agrees that 3H does not ask responder to bid 4 for much of any reason.
Do we agree that bidding 3m (either m) is an invitation to 4H, not an offer to play 3m? My own preferred style is that 3m shows values in m rather than, say, asks for shortness in m.
Now what about X: 1H-(1S)-2H-(2S)-X is what? I assume that 1H-(2D)-2H-(3D)-X is maximal, inviting in game since space is cramped. And 1H-(2C)-2H-(3C)-X shows extras, of course, but is more inviting of a pass since 3D was available for a generic game try. But 1H-(1S)-2H-(2S)-X ? It seems unlikely we want to seriously consider playing 2SX when both sides have a fit. So what is it?
I know nothing of the uses for 2NT here. I doubt it is natural.
Now to the stronger. Yes we could, I suppose, have a slam after this beginning but that's not what I want to ask about. let's say opener plans to bid 4H. The problem is, depending on vulnerability and form of scoring, and aggressiveness of the opponents, this may be followed by 4S from their side and we have to decide what to do over that.
i suppose 1H-(1S)-2H-(2S)-3S is a splinter. Not so much to reach slam as to help partner decide whether to go on to 5. Of course it might help the opponents play the hand if they buy it. That's about as far as I got.
Suggestions are welcome.
Now, for comic relief, I give you the hands. I was the goat on this but it didn't cost as much as it could since they failed to reach 4H at the other table.
I was West and with an Ace and a sure trump trick I need to double. Yes. But I didn't.
Partner was not sure just what I would make of what over 2S, so he just bid a practical 4H. As you can see, it needs me to have something, and it needs the diamonds to not be arranged to badly. But it makes. I figured they had a black two-suiter, and they do, but next time I double. I can't say I expected Qx of trump in partner's hand, but that's just added gravy. We won the match anyway.
As mentioned, the hand is for comic relief. But I am interested in what agreements people have for accuracy here.