My system cards have for some years airily characterised a 3-of-a-suit response to an opening weak no trump as a slam try.
But when I came to producing a seminar on these bids, and in particular on subsequent continuations in the auction, I was led to the view that 3-level bids were on the one hand not really needed for this purpose, and on the other hand could be more usefully employed in other ways.
So I've adopted Splinter Responses to an opening 1NT, whereby 3-of-a-suit bid shows shortage [singleton or void] in the suit bid, and is game-forcing.
The objective is to steer opener towards what is hopefully the best contract, and at the same time steering him or her away what could turn out to be a daft contract, e.g. 3NT with Qx opposite x.
Obviously we would not want to use one of these 3-level bids if there were an existing bidding mechanism available to deal with the hand. So, for example, if responder were to hold a 5-card or longer major, he or she would use a transfer in the normal manner. And this leads us onto what responder might have for the bid:
So, where might we finish up after employing this bid?
Let's take a look at responder's possible hand shapes:
We already have 4♣/♦ as Minorwood and, to ensure responder can undertake a slam exploration in a major suit as well, 4♥/♠ similarly become RKCB in the bid suit.
Note that responder also has the possibility of transferring to a major and following this up with 4NT. This is not ace-asking, it's quantitative. In fact, this is about the only time thata 4NT quantitative bid would be made, as responder has 2♠ available as a quantitative bid without getting stratospheric. If responder bids 2♠ and then continues bidding after opener's rebid of either 2NT or 3♣, this is absolutely game-forcing. Opener should not now simply bid 3NT unless he/she has nothing else worthwhile to say.