1NT OPENING - 15-17 hcp

Considerations for a disciplined No Trump opening

The 1nt opening is the most important opening in any bridge system because it shows a balanced hand (no singleton/void) in distribution 4333 (10,54%), 4432 (21,55%) or 5332 (15.52%), so here we will discuss many agreements used inside this convention adopting the range of 15-17 hcp (many partnership prefer to use a weak nt opening 12-14 hcp or 14-16 hcp),

Some partnership, like us, do not like to open 1nt with a 5 card major and 15 hcp but for hands 5332 with 16-17 hcp, depending on if the hand will allow more defense for some honors (Kx / AQ) to receive the lead it is recommended to be open in 1nt. 

Hands 5422
with 16-17 hcp having 5 cards minor and 4 cards major should be opening in the minor and after the major is bid in reverse at level 2 mostly when these suits have good top cards. The opening in 1nt with 15 hcp and 5422 distribution it is not recommended because we should increase the chances to find a fit bidding 2 suits: 
 
AQ QJ84 AQ J8543         should be open 1nt
 
KQ109 K18 A9 KQ1083  should be open 1
 
KQJ8 Q4 AK1054 Q3      should be open 1
 
K1092 K10 A6543 AQ    should be open 1nt
 
K1092 K10 AJ543 A2     should be open 1
 
We recommende the opening in the 3 cards minor in hands 4432 with both majors and 15-17 hcp when there are no stopper in the 2 cards suit. This will help to find a fit in a major because Responder having 5-7 hcp will pass with a 4 cards major if we use 1nt opening:
 
AQ32Q1084AQ2J3  opening 1 and if partner bids a major raise to 2
 
KQ97AK10292KQ9  opening 1 and if partner bids a major jump to 3
 
KQJ8QJ104AK4J3   opening 1 and if partner bids a major jump to 3
 
AKQ9J1032AK273   opening 1 and if partner bids a major jump to 3
 
KJ92KQ10343AQJ   opening 1 and if partner bids a major jump to 3   
 
    
Hands 5332 with 5 cards major and 15-17 hcp it is a open problem in the 2/1 system. If the opening is 1nt then how to find a 5-3 fit using Stayman? Some partnership use the bid of 3
puppet to ask for 5 card major or good 4 cards major, but this breaks the structure of convention for nt not allowing the bids at level 3 to show 2 minors suits. That is, the opening in 1nt with a major 5 cards may lose not only a fit 5-3 in the major but also a fit 5-4.

Let's remember the recommended words by Alvin Roth, "Always plan a second bid before you choose a first". In fact there are hands where 1nt opening is more apropriated for a major 5 cards openig despites the difficult in show hand's range when we have 16-17 hcp. However playing at level 2 in a major with 5-3 fit it is more confortable than play in 1nt where we need stoppers in more than one suit.

A recommended rule to decide is:
- with a good major suit open in the major: 
KQJ102 K43 AQJ 93
- with good stoppers open 1nt:
 J8432 AQ10 KQ9 K8 

However some hands are more diffiuclt to decide in the opening like the follow that may be opened in 1nt or in a major:
Opener:
KJ1082 QJ4 K10 AQ3 or AQ10 AJ1082 K9 K103

One drawback for opening major with 5332 having 16-17 hcp in our 2/1 system is that after Responder bids 1nt Opener's second bid will be in a minor with 3 card and not the classical invitation in 2nt showing 16-17 because the 2nt bid is reserved to show GF hand with 18+ hcp. may provoke an underbid if Responder has 8-9 hcp and pass. Of course if Responder bids again then we can show our 16-17 hcp bidding 2nt to make an invitation to 3nt:

Opener Responder
 1
        1nt <= forcing
 2
        2  <= 6-9 hcp 2 cards support
 2nt <= 16-17 hcp
invitation
Opener Responder
 1
        1nt
 2
        2nt  <= 10-11 hcp invitation
 3nt <= 15-17 hcp or pass with 12-13 hcp
Opener Responder
 
1        1nt
 2
        3 <= 10-11 hcp invitation
 3nt  <= 15-17 hcp or pass with 12-13 hcp
Opener Responder
 
1        1nt
 2nt  <= GF read explanation here Responder can't pass!

               ?

After 1nt opening showing a balanced hand if partnership have together 25-26 hcp there is
a great chance of success in 3nt/4
/4. Thus, Responder, that is the captain for final contract, with a 4333 and 10-15 hcp should bid 3nt to avoid give opponents information about Opener's hand (but may lose a 5-4 fit ?): convention.
Responder:
 
J1082 QJ4 K108 A103 or Q102 K1082 A95 Q103
Opener Responder
 1nt       3nt (with 4333)
 pass
 

THE TRANSFERS - in the 50's was born the understanding that is often advantageous for declarer that the lead come up to the strong hand. Olle Willner from Stockholm, Sweden published a series of articles about transfer in the Bridge Tidningen during 1953-54. In United States David Carter of St. Louis introduced the Texas Transfer and Oswald Jacoby publish at Bridge Word in 1956 the use of transfer for majors. There are curious situations after the transfer for the strong hand that the leader may be already in endplay (all leads are disadvantageous!).
read more about transfer here.

 

xx
AKQ98x
Jx
Jxx

  S   W  N  E
1nt 2
4 p

 p  p
lead 8
down1

South opens the hand with 1nt and West overcall 2, then North a intermediate player without the knowledge of Texas transfer bid 4 and all pass.
East lead 8
and after J and A a little was played for East over ruff 9 with his J.
Then East play
3 declarer play low Clubs from dummy and West made the K for down one.
In the other table N-S plays 4
and made it after 1nt 2 4 transfer to 4.
So, this simple example shows a clear advantage in the strong hand receive the lead.

AQJxx
x
xx
Kxxxx

     N
W      E
     S

83
Jxx
Q109xx
753

 

K109
10xx
AKxx
AQx

 S   W  N  E
1nt 2
4 p

4 all pass
lead trump and made 4


In fact after the revolutionary Transfer's discovery allow many options during the auction for better system, and may used not only after 1nt opening.
By the way Transfer for major it is recommended also for all Responder's hands having 7/8 cards major with up to 10 hcp after partner's opening is a minor:
Opener Responder
 1
/1  4 <= transfer to 4 <= 6-10 hcp and 7/8 cards with 2 top honors
                  
- KQJ107654 J108 J3 or 2 AKJ10854 105 Q93          
Opener Responder
 1
/1  4 <= transfer to 4 >= 5-10 hcp and 7/8 cards with 2 top honors
                   KQJ109863 - J108 J3 or AKJ10652 J4 105 93
After partner opening in a major if opponent double we may bid in transfer to let the strong hand receive the lead like the follows examples shows:
Opener Opponent Responder
  1        double    1nt (trf)  <= shows 6+ and 6-9 hcp
  1        double    2   (trf) <= shows 6+ and 6-9 hcp
  1        double    2   (trf) <= shows 6+ and 6-9 hcp
  1        double    2   (trf) <= shows 3 and 8-9 hcp
  1        double    2           <= shows 3 and 6-7 hcp
  1        double    1           <= 5+ and 6-9 hcp
  1        double    1nt (trf) <= shows 6+ and 6-9 hcp
  1        double    2   (trf) <= shows 6+ and 6-9 hcp
  1        double    2   (trf) <= shows 3 and 8-9 hcp
  1        double    2           <= shows 3 and 6-7 hcp

So Transfer is a enormenous contribution for modern bridge system.


1NT OPENING AND RESPONSES:
For an auction without interference we have the follows responses:

Opener Responder
   1nt     pass <= nothing to do
              2
  <= Stayman (asking for major)
              2
  <= transfer to 2
              2
  <= transfer to 2
              2
  <= transfer to 3   
              2nt <= transfer to 3
 
              3
  <= 5-4 in minors with 5431 and singleton in Hearts
              3
  <= 5-4 in minors with 5431 and singleton in Spades
              3
  <= hand 5-5 in with singleton in Hearts
              3
  <= hand 5-5 in with singleton in Spades
              3nt <= to play shows 10-15 hcp in 4333 or good long suit 6+ cards
              4
  <= Gerber (asking for Aces 4=0/4, 4=1, 4=2, 4nt=3)
             
4
  <= transfer to 4 (no Slam interest - just long suit)
              4
  <= transfer to 4 (no Slam interest - just long suit)
              4
  <= transfer to 5 sign-off
              4nt <= quantitative
shows 16-17 hcp - with 17 or 16+ bids 6nt
             
5
  <= transfer to 5 sign-off
              5nt <=
shows 19-20 hcp - invitation to 7nt with 16- bids 6nt
              6nt <= to play (18 hcp 4432 or 4333)

1) when Responder should pass?
If Responder has a balanced hand 4333 or 4432 and less than 8 hcp he should pass, include in 5332 with 5 cards minor, but with 5 cards major or 6 cards minor Responder should transfer for Opener play the hand because there is good chance that Responder's long suit stay with the 4th and 5th cards good but without a entry in dummy. In other words when Responder's hand is poor the hand must be played in Responder's long suit:
Opener  Responder
  1nt          ?
- J8432 74 J92 K108    Responder transfer bidding 2
-
32 1095432 A4 K108 Responder transfer bidding 2
-
J843 42 9 K108432    Responder transfer bidding 2 
-
98432 Q64 Q92 Q10  Responder should pass 
-
J842 Q32 Q9432 8     Responder should bid 2 Stayman and after pass

2) When should Responder use the 2
  Stayman?
There are many hands to use it - the propose is to find a fit to play the hand in a suit. The Stayman convention used by Samuel M Stayman (1909-1993) and his partner George N Rapée (1915-1999), published in 1945 in the Bridge World, and it is a standard way to search the hand, initially for major, after for minors using a posteriori innovation with a Extended Stayman (or second Stayman).

2.1) So after 1nt opening the first Stayman uses 2 Clubs
to ask for a major suit and Opener has only 3 answers possible
Opener Responder 
 1nt        2

   ?
 2
  <= no major
 2
  <= 4 cards and can also have 4 cards
 2
  <= 4 cards and denies 4 cards

2.2.1) After first Stayman Responder may continue searching Opener's hand for other suit and distribution with the Extended Stayman bidding now 3
:
Opener Responder 
  1nt     2

  2
      3  <= Extended Stayman, now for minors
   ?
  3
<= 5 cards minor
              3
relay asking the minor and the Opener bids: 
                    3
= 5 cards  or 3nt = 5 cards <= responses up the line
  3
<= both minors and 3 cards => 2344  
  3
<= both minors and 3 cards => 3244 
 3ST <=
4333 and bad distribution to play in a minor - undefined minor

All fpllow bids out of these sequences are natural and the captain for final contract continue to be the Responder.

2.2.2) After Opener bids 2
the Extended Stayman continue:
Opener Responder 
  1nt     2

  2
      3  <= Extended Stayman continuation to search for other suit
   ?
  3
  <= shows 4-4
  3
  <= shows 4-4   
  3
  <= shows 4-4
 3ST <= shows only one suit: 3
-4-3-3 

2.2.3) After Opener bids 2
the Extended Stayman continue:
Opener Responder 
  1nt     2

  2
      3  <= Extended Stayman continuation to search for other suit
   ?
  3
  <= shows 4-4
  3  <= shows
4-4 (Hearts suit was denied bidding 2) 
  3
  <= shows 5 in 5332
 3ST <= shows only one suit: 4
-3-3-3 

Note1: When Responder has a G
F hand with 4 cards in a major and 5+ cards in a minor, he first search Opener's hand for a fit in a major using Stayman and if he has a singleton or void he may continue the search for a fit in a minor suit using Extended Stayman trying not play in nt with unbalanced hand.

2.
2.4) After the Stayman Responder can also make invitation to game asking Opener if he has maximum (17 hcp or 16+ good hcp) to bid game:
Opener Responder
 1nt       2

  ?
 2
        2NT => invitation with 8-9 hcp   
 2
         3   => invitation with 8-9 hcp balanced with 4 cards
.......       2
   => invitation with 8-9 hcp balanced with 4 cards
 2
  =>  3   => invitation with 8-9 hcp balanced with 4 cards
.......      2nt  => invitation with 8-9 hcp balanced hand (no promise 4
)

2.
2.5) After the Stayman Responder jumps to game (no Slam interest)
Opener Responder
 1nt        2

  ?
 2
  => 3nt => sign-off the auction       
 2
  => 4  => sign-off the auction
.......      3nt => showing 4
cards so Opener can bid 4
 2
  => 4   => sign-off the auction
.......      3nt => sign-off the auction

2.
2.6) After the Stayman Responder can try Slam: 
Opener Responder
 1nt        2

  ?
 2
  =>  4 => Gerber asking for aces (Slam interest)
......       4
  => transfer to 4 - showing 46
......       4
  => transfer to 4 - showing 64 
 2
  => 3/4/4 splinters with 4 cards (Slam interest)
......       4nt is RKB0314 for
asking for keycards (Slam interest)
 2
  => 4/4/4 splinters with 4 cards (Slam interest)
......       4nt is RKB0314 for
asking for keycards (Slam interest)
Obs:

Note2: After a splinter Opener makes evaluation of his hand and rebid his suit
to sign-off or try Slam bidding RKC1430 in 4nt asking for keycards or depending on the convention used by partnership:
1- may use cuebid or
2- may use show Opener's honors in 4 steps:
     first step: 2A+1K+Queen;
second step: 3A+1K;
   third step: 3A+1K+Queen
 fourth step: 4 keycards
read more in aces-conventions (after splinter) or in splinter

2.3) Garbage Stayman - considering that the Opener have only 3 answers for a 2
Stayman it is possibly make a Stayman bid with weak hand and pass at any bid from Opener, but in this case Responder must be shorter in Clubs (0/1) having 4/3 in majors and 5 cards in Diamonds to do that (with only 4 cards in Diamonds it is danger finish in a fit 4-2 if Opener has 3325). Responder's distribution should be 4450 or 4360 or 3460 or 4351 or 3451.
Opener Responder 
 1nt      2
<= Stayman
   ?
  2
      pass <= means garbage hand
  2
      pass <= means garbage hand
  2
      pass <= means garbage hand

2.4) After the Stayman a sign-off in a major. When the Responder has less than 8 hcp and a 54xx in the majors or a 44xx with both majors 4-4 Responder can also create a sign-off sequence hoping that is a better contract in a fit 4-3 in a major:
Opener Responder 
  1nt      2

  2
        ?
......       2
<=shows 54xx <= sign-off
......       2
<=shows 45xx or 44xx so Opener with 3
......             cards in
pass and with only 2 cards in bids 2

Note3: this
is one reason that 1nt opening can't have 2-2 in the majors.

2.5) Smolen - created by Mike Smolen (1940-1992) is a forcing bid with 5-4 cards majors distribution and 9+ hcp. The objective is to transfer the play to the strong hand if a fit 5-3 is found.
Opener Responder 
  1nt      2

  2
        ?
......       3
<= shows 5 cards and only 4 cards
......       3
<= shows 5 cards and only 4 cards
   ?  <= Opener can find a 5-3 fit in a major or bid 3nt.

3) Major with 6-4
When Responder has a 6-4 in the majors after the 3
/3 Smolen bid in level 3, if Opener bids 3nt then Responder may force a transfer to major at level 4 bidding 4 transfer to 4 or bidding 4 transfer to 4.
Of course after response 2
the texas transfer in 4 or 4 could be done but in hands that Responder is also interested in Slam but need a fit 6-3 even with 6 cards in a major he may use Smolen to know if Opener has 3 cards or no.
Opener Responder 
  1nt      2

  2
      3/3 <= Smolen
  3nt        ?
......        4
<= transfer to 4
......        4
<= transfer to 4
              
3.1) Jacoby transfer - 2
transfer to 2
Opener Responder 
  1nt      2
<= transfer to 2
   ?
  2
  <= denies 4 cards support or maximum with 3 cards and 2 top honors
  2nt <= 17 hcp and 3 cards support with 2 top honors (AK/AQ/KQ)    
  3
<= 4 cards support and 16-17 hcp
 Responder decide:
     - pass in 2
,
     - 3
for a sign-off transfer in 3 after Opener's 2nt
     - 3 with 6 and 8 hcp - invitation
after Opwne's 2
     
- bidding another suit for GF or Slam try / 4nt asking for aces

3.2) Jacoby transfer - 2
transfer to 2 
Opener Responder 
  1nt      2
<= transfer to 2
   ?
  2
  <= denies 4 cards support or maximum with 3 cards and 2 top honors
  2nt <= 17 hcp and 3 cards support with 2 top honors (AK/AQ/KQ)    
  3
<= 4 cards support and 16-17 hcp
Responder decide:
     - pass,
     - 3
to show 5-5 in majors and GF after Opener's 2,
     - 3 with 6 and 8 hcp - invitation after Opener's 2,

     - bidding another suit for GF or Slam try / 4nt asking for ace
s

4) 4 way transfer with pre accept is a extension of Jacoby transfers applied for minors with additional that the response shows if Opener is maximum with good support in that minor (I like - I can play 3nt) or if Opener is minimum (I don't like - I can't play 3nt).

4.1) Transfer for Clubs - 2
transfer to 3 (normally 6 unless Responder's hand is 5431 and very weak) or search for maximum
Opener Responder 
  1nt      2
<= transfer to 3
   ?
  2nt  <= minimum or no good support for 3
(means don't like)
  3
   <= maximum and 3+ cards support with A or K (I like and want 3nt)
Opener Responder
  1nt     
 2
<= transfer to 3
  2nt      pass with invitation hand 8-9 hcp like
Axx Jxx Axxx 10xx 
              this strategic way to search for max/min in 1nt open avoid
              Opener give inform hand to opponents if has or no 4 cards major.
  3
       <= Opener has maximum, so pass with < 8 hcp or bid game or try Slam

4.2) Transfer to Diamonds - 2nt transfer to 3
(normally 6 cards but with 5-5 in the minors and very weak hand it is better try to play in a minor)
Opener Responder 
  1nt      2nt <= transfer to 3

   ?
  3
  <= minimum or no good support for 3 (means don't like)
               if Responder has weak 5
-5 now he may pass
  3
  <= maximum and 3+ cards support with A or K (I like)
              if Responder has no A or K and less than 7 hcp he must pass
              Responder bids 3nt with 6+ hcp and 6
cards with a top honor A/K
Examples:
Opener Responder
  1nt       2
<= transfer to Clubs
   3
<= I like  
                 ?
.......       with (a)
xx Jx xxx KQ10xxx => bid 3nt
.......               (b)
xx xx xxx AJ10xxx => bid 3nt  
.......               (c)
xx Kxx xx J1098xx => pass
Opener Responder
  1nt      2nt <= transfer to
Diamonds
  3
 <= I like       
                ?
.......      with (d)
xx Jxx KQ10xxx xx=> bid 3nt
.......              (e)
xx xx AJ9xxx  Jxx => bid 3nt  
.......              (f)
xx Qxx Q76xxx xx => pass

Note4: When Responder has a total sign-off hand in a minor and Opener denies interest in his suit, Responder must correct the auction and sign-off in his long suit.

************************************************************
HOW TO TRANSFER WITH TWO MAJORS SUITS 5-5
5) When Responder has 2 majors there are two situations to analyses:
5.1) showing a 5-5 GF:
Opener Responder
  1nt      2
  <= transfer to 2
  2
       3  < 5-5 GF
   ?  <= in this case Opener can also shows his hand:
......      3nt means weak hand and poor support for majors;
......      4
is a cue bid with maximum showing interest in Slam and
......           then Responder with singleton in Diamonds bids 4
;
......      4
is a cue bid with maximum showing interest in Slam and
......           then Responder with singleton in Clubs can try Slam;
......   4
/4 is minimum (it is a nt with many Q and J).

5.2) showing a 5-5 SIGN-OFF:
Opener Responder
  1nt      2
  <= transfer to 2
  2
       2  <= 5-5 WEAK
   ?  <= Opener with 3
cards pass
......       Opener with
only 2 cards in
then bids 3
......       even with 4 cards in a major Opener must sign-off because
......       Responder can have a hand like:
J10xxx Q10xxx x xx

SHOWING 2 SUITS 5-5+ GF - A MINOR AND A MAJOR
6) How Responder shows 5 cards major and 5 card minor in GF?
If Responder transfer first to the major and then bids the minor this shows 5-4 and the minor is 4 cards, but if Responder has 5 cards major and 5 cards minor he needs first to transfer for the minor (m) then he bids the major (M). Thus now we have a convention to know when Responder is 5M4m and when Responder is 5M5m and 10+ hcp.

6.1)            
Opener Responder
  1nt       2
<= transfer to 3
  2nt <= don't like
.......        3
<= 55 Game Force (GF)
.......        3
<= 55 GF
  3
<= I like
.......        3
<= 55 GF
.......        3
<= 55 GF
  ?  <= Opener with minimum and stoppers in the others suits bid 3nt;
......      Opener with minimum and 3 cards in the major bid game in major;
......      Opener without 3 cards in the Responder's major and poor stoppers
......              in the other major can prefer the minor at level 4 or level 5;
......      Opener with maximum can cuebid in the other minor minor or in
......              the other major showing interest in Slam;
......      Responder with a 6m5M hand can bid/rebid his minor 6 cards suit
......              at level 5 denying interesting to play 3nt.

6.2)
Opener Responder
  1nt       2nt <= transfer to 3

  3
<= don't like
               3
<= 55 GF
               3
<= 55 GF
  3
<= I like
               3
<= 55 GF
               3
<= 55 GF
 
 ?  <= Opener with minimum and good stoppers in the others suits bid 3nt;
           Opener with minimum and 3 cards in the major bid game in major;
           Opener without 3 cards in the Responder's major and poor stop in
                    the other major can prefer the minor at level 4 or level 5;
           Opener with maximum can cuebid in the other minor minor or in
                    the other major showing interest in Slam;
           Responder with a 6m5M hand can bid/rebid his minor 6 cards suit
,
.....              at level 5 denying interest to play 3nt.

6.3) showing 6 card minor with 2 top honors = Slam interest
Opener     Responder
  1NT        2
 2NT/3   4 <= 6+ cards - 2 top honors - asking for Opener cuebid

Opener      Responder
   1NT        2NT
 3/3     4 <= 6+ cards 2 top honors - asking for Opener cuebid


6.4) showing long weak major
When pd opening is 1nt and we have a weak 7/8 cards in a major we may transfer to level 4 hoping Opener have 3 aces.
Responder have 
K10xxxxx x 98xx x
Opener Responder
 1nt        4
    <= transfer for 4
  4
       pass  <= if pd has 3 aces great chances to make 4!

Responder have 
x K10965432 98x x
Opener Responder
 1nt        4
    <= transfer for 4
  4
       pass  <= if pd has 3 aces great chances to make 4!

***********************************************************
What to do if opponent at level 2 makes
interference (except when is x penalty)? If Opponent bids 2
DONT or 2 CAPP or a Natural overcall of 2 our bids at level 2 are sign-off. Using Lebensohl convention there are no more transfers at level 2 after interference, this means "system is off". Of course at level 4 transfers to majors still are on after interference at level 2 (4 => 4 and 4 => 4).

If we make a Stayman and opponents double our 2
, Opener without a major just bid 2 if Opener has only 3 cards in Clubs. If Opener has 4 cards he should pass and should redouble with 5. This information will be important to Responder accept to play in 2 doubled!

If opponent double penalty 1nt then we can use:
- pass - nothing to do - Opener with a 5 cards suit must bid it
- redouble - asking for Opener bid 2
and that can be corrected to 2
- 2
is Stayman and shows both majors
     - so Opener with no major and 5
cards can pass;
     - Opener with no major and 5
cards bids 2;
     - Opener with no major in a 4333 or 4432
bids his best 3 cards major.
- 2
is transfer to 2
- 2
is transfer to 2

Note: Responder with 6+ hcp and balanced hand must pass and after advancer bids then Responder may double opponent as a penalty double.  

 

7- AFTER 1NT OPENING RESPONSES AT LEVEL IS RESERVED TO SHOWS MINORS SUITS WITH 10-14 HCP HAVING DISTRIBUTION 5431 OR 5521 


CONSIDERATIONS: When partner opens in 1nt 15-17 hcp and we have both minors in 5422 (no singleton) with a limited hand of 10-14 hcp the chances for Slam are few. So, unless we have cards in sequence in both suit making it solid (KQJ108 or AQJ109), it is recommended that we bid directly 3nt to sign-off the bidding and not try to find a better contract in a minor suit at level 5 that also could help opponents find the best lead for defense.

Even when our partnership has no stopper in a specific major the chances of this suit be divided 4-4 (33%) is significant. Thus only when there is a singleton in a major because that threat for our contract increase and so we should show our singleton to partners take decision, like in a splinter, because with a singleton there are un improvement in the chances for a Slam with less high cards points needed.

So when Responder's hand is 5521 or 5431 with 10-14 hcp Opener should be inform by Responder about his shorter major suit. However the information about what minor is 4 cards or 5 cards it is not so revelant than the information of what is the singleton suit. Thus we make an agreement that after 1nt opening all suit bided at level 3 shows a singleton major with both minors 5-4 or 5-5:
Opener Responder
 1nt       3
  <= 31??  <= 54 or 54 with singleton Hearts
             3  <=
13??  <= 54 or 54 with singleton Spades
             3  <=
2155 <= singleton Hearts
             3  <= 12
55 <= singleton Spades 

Now let's establish some bids conventions to search more information in  Responder's hand making to Opener the principal captain of the final contract.

Fisrt Opener should observe if hands fits (Axx - x  or Jxx - x). In case there are KQx - x with 1nt minimum it is the case to stop the bidding in a partial score of
4/4. But if hands fit and Opener has good support for one of Responder's minor then Opener should take charge and search Responder's hand for maximum and minimum. But what is a minimum or maximum hand to decide to stop in a partial score or try a game in a minor or even try Slam? Can we have a criterion to help our decision? Let's propose 2 ways to search Responder's hand:

A) by searching controls in 3 suits (the singleton should not be A or K) when distribution is 5521 and hands fits (Jxx - x or Axx - x) with 4+ cards in a minor.
Let A=2 controls and K=1 control, so we may consider when Opener has 7+ controls (3A+1K or 2A+3K or 4A) that he is maximum and when Responder has 5+ controls (2A+1K or 1A+3K) that he is also maximum. Of course the Queens are very important cards but for this specific search we enphasize the value of A and K to think in game or in Slam.

Opener controls examples:
a)
Axx Kx AJx AJ98x  = 3 A + 1 K = 7 controls => maximum
b)
AJx Qx Kxxx AKxx = 2 A + 2 K = 6 controls => minimum
c)
AKx 9xxx Kx AKxx = 2 A + 3 K = 7 controls => maximum
d)
KJx KJx KJx KQxx  = 0 A + 4 K = 4 controls => minimum
e)
Ax Axxx Axx Axxx = 4 A + 0 K = 8 controls => maximum
f)
QJ09 QJx KQx AQx = 1 A + 1 K = 3 controls => minimum
g)
KJ10 AJx AJx Qxxx = 2 A + 1 K = 5 controls => minimum 

Responder controls examples:
h)
Ax x K10xxx KQJxx = 4 controls => minimum
i)
Jx x KJxxx AK9xx     = 1 A + 2 K = 4 controls => minimum
j)
xx x KQxxx KQJxx    = 0 A + 2 K = 2 controls => minimum
k)
x Qx AKJxx K9xxx   = 1 A + 2 K = 4 controls => minimum
l)
x Kx AJ9xx AQxxx    = 2 A + 1 K = 5 controls => maximum
m)
x Qx KQxxx AQJxx  = 1 A + 1 K = 3 controls => minimum
n)
x Axx AJ10xx Kxxxx = 2 A + 1 K = 5 controls => maximum 

Rule#7.1: When Responder distribution is 5521 we use the artificial bid of 4
to search for controls in Responder's hand, but we assume that in the major 2 cards can have only A or K and never both, and each minor may have 3 controls (A+K). Considering that the point range is limited to 10-14 hcp the maximum controls are 2A+2K = 14 hcp and let's assume a minimum of 3 controls (A+K) or (3K) for make a mental evaluation of Responder's hand when searching for controls.
Opener Responder
 1nt       3 or 3  <= shows distribution 5521
 4 <= asking for controls in 3 suits (excluding the singleton suit)
 .........   ?
 .........  4nt  <= 3 controls (1A+1K) or (3K) (rarely less)
 .........   5  <=
4 controls (2A) or (1A+2K)
 .........   5
  <= 5 controls (2A+1K) or (1A+3K)
 .........   5  <= 6 controls (3A) or (2A+2K)


If Opener has both majors aces after 5
or 5 probably he will be able to bid Slam based in this simple information. So as observed a disciplined response bid to show 5521 is very important for a partnership know what they are bidding.
suppose Opener =
 
Axx Axx K3 KJxxx
 and Responder =
 
Kx x AJ1083 A10xxx
Opener Responder
  1nt      3 <= singleton Heart (so hands fits)
   4      5 <= 5 controls (partnership has all controls)
   7      pass 
Hands fits and with a fit of 10 cards and all controls we bid Grand Slam.
Note that when we have a 10 cards fit the trump's Queen has only 22% in be third against 52% in be second and 26% in be singleton.


B) by searching keycards and Queens in the minors in steps. The minors suits together have 4 keycards (A
A K K) and 2 Queens (Q Q) so now we build a list or relationship of steps assuming that Responder's hand needs 10-14 hcp and a minimum of 2 keycards in the minors.

Rule#7.2: When distribution is 5431 Opener search for honors in the 3 cards major bidding a relais (next suit) and the responses are:
Opener Responder                      .... Opener Responder
 1nt       3 <= singleton Hearts        1nt      3 <= singleton Spades
  3 <= relais to search Spades          3  <= relais to search Hearts
 ........     ?                       ..................              ?
 ........    3  <= Ace Spades       ..........          3 <= Ace Hearts
 ........    3  <= King Spades      ..........         3nt <= King or Queen Hearts
 ........   3nt <= Queen Spades    ..........         we lose a response step
 ........    4 <= no honor and 5 cards           4 <= no honor and 5 cards
 ........    4 <= no honor and 5 cards           4 <= no honor and 5 cards

Rule#7.3: Only after apply the Rule#2 Opener may search for keycards in the minors bidding 4:
Opener
  4 <= asking for keycards in minors with th follow responses:
step1 (4)   => 2 keycards (2A) or (2K) or (1A+1K) and no Queen 
step2 (4nt)  => 2 keycards + 1 Queen
step3 (5)   => 2 keycards + 2 Queens
step4 (5)   => 3 keycards (3A) or (3K) or (1A+2K) or (2A+1K)
step5 (5)   => 3 keycards + 1 Queen    <= maximum 14 hcp
step6 (5)   => 3 keycards + 2 Queens  <= maximum 14 hcp
step7 (5nt)  => 4 keycards (2A+2K)      <= maximum 14 hcp 

Thus these 3 Rules allow search information to give conditions to Opener decide to abort possible game, to bid game and also to bid Slam;

suppose Opener =  Kx Axx Axx KQxxx
 and Responder =
 
Axx x KQ1083 A10xxx
Opener Responder
  1nt      3   <= singleton Hearts (so hands fits)
   3   <= relais asking for honors in Spades
  .......... 3   <= Responder shows Ace of Spades
   4   <= search for keycards in both minors
  ......... 4nt  <= 2 keycards + 1 Queen
 Thus partnership has all keycards for minors and all controls in the majors.
   7     pass     

REVIEWING
WHAT TO BID AFTER 5431
 
1- Opener bids 3nt when hands does not fits but Opener has good hand with stoppers in the Responder's singleton suit and also in the other major suit like:
example7.1
Opener Responder
  1nt       3
<= singleton Hearts 5431
  3nt  <=
AJ10 KQ10x Q83 K52
example7.2
Opener Responder
  1nt       3
<= singleton Spades 5431
  3nt  <=
QJ108 AK107 A8 J102
So without 4 cards in a minor try for Slam
is out of cogitation

--------------------------------------------------------
2- Opener jumps to the major Responder's 3 cards when he has 5 cards or good 4 cards in this suit and no good option to play 3nt:
example7.3
Opener Responder
  1nt      3
<= singleton Hearts
  4  <=
AK1082 Kxx K83 K5
example7.4
Opener Responder
  1nt       3
<= singleton Spades
  4  <=
J623 AKQ2 K8 K102
Considering that Responder has 3 cards support in Hearts we can play in 4
even with a 4-3 fit. 

--------------------------------------------------------
3- When Opener has good stoppers in the Responder's singleton major suit but has poor stopper (Jxx or Q2) in the other majoror it is possible search this major in Responder's hand bidding a relais in the next suit.
example7.5
Opener Responder
 1nt      3
<= singleton Hearts
 3  <= relais asking for honor in 3 cards major suit (Spades)
            and the responses are:
             ?
            3  <= Ace Spades
            3  <= King Spades
           3nt  <= Queen Spades
            4  <= no third control and 5 cards
            4  <= no third control and 5 cards
  ?
so now Opener can decide:
- to stop in 3nt;
- try Slam bidding 4 for keycards;
- pass in 4/4 if the hand loses 3 tricks in the majors;
- sign-off in 4;
- bid 4nt to show 3-3 in the minors asking for Responder to bid his 5 cards minor;
- bid sign-off in 5 or 5 when have 4 cards minor.

When Responder bids 3 the relais responses lose one step:
Opener Responder
 1nt       3
<= singleton Spades
 3  <= relais asking for honor in Jearts
            and the responses are now:
              ?
             3 <= ace Hearts
            3nt <= King or Queen Jearts
             4  <= no third control and 5 cards
             4  <= no third control and 5 cards
And then Opener may decide if bids 4 to try Slam in case hands fits and Opener is maximum.

--------------------------------------------------------
4- When hands fits (Axx - x or Jxx - x) Opener must first search the major 3 cards and then use 4 to search for keycards  both minors (excluding keycards for the major suit 3 card) like in the follows examples:

example7.6  When hands fits
opener: AJ10 J65 A3 KQ1032  Responder: Q32 5 KJ982 A976
Opener Responder
 1nt       3
<= singleton Hearts 5431
 3
         <= relais asking for honors in Spades
 ........... 3nt <= shows
Qxx
 5
         <= sign-off - Responder will be declarer and lead in Spades no good
 ........... pass

example7.7
opener: A83
KJ3 K3 AQ865  Responder: 2 A85 AJ972 K1092
Opener Responder
 1nt       3 <= singleton Spades

 3
         <= relais asking for honors in Hearts
 ........... 3 <= shows Axx

 4
         <= RKB (for 2A 2K 2Q)
 ............ 4
nt <= 2 keycards
 6         pass

example7.8    when hand fits
opener: Axx AK QJ5 QJ1052  
Opener Responder
  1nt       3
<= singleton Spades 5431
  3        <= relais asking for honors in Hearts
 ............ 4 <= no A or K or Q in Hearts - 5 cards
  4        <= search keycards only for both minors (2A-2K-2Q)

 ...........  ?
 .........if  4  <= 2 keycards then 5 - missing 2 keycards (2A or 1A+1K)
 .........if
 5  <= 3 keycards then 6 - missing 1 keycard (A or K)
 .........if  5  <= 4 keycards then 7


---------------------------------------------------------
5- When Opener hands is minimum and hand does not fits Opener try to stop the bidding at a minor in level 4:
example7.9
Opener Responder
 1nt       3  <= singleton Hearts
  ?
 4 => QJx
KJ543 AQ KJ2 
sign-off but with A and 5 cards support Responder may bid 5  

example7.10
Opener Responder
1nt        3  <= singleton Spades
  ?
 4 => KQJx
K6xz A7x Qx
sign-off but with A and maximum Responder may bid 5  

example7.11 for Opener weak hand after 1nt response 3
a)  KQJ
Kxx K7x QJ52 <= with only 1 stopper in Hearts this hand have a great chances in down in 3nt and without aces have 2 losers in the majors, so only if Responder has AQ in Diamonds and AK in Clubs it will be possible have success in 5 or 5. For Opener point of view the hand should stop at 4. Thus opener bids 4 letting Responder decide and with 3 keycards and a Queen Responder may bid game in 5.
 
b)  Kxx
KJxx KJx KJx <= here Opener has a poor stopper in Spades for 3nt and has a  sure loser Hearts without 4 cards fit in a minor. So this hands not fits for his point of view and Opener must bid 4. Of course Responder with maximum, 5 cards support (Responder should be aware that Opener may have only 3 cards in Clubs) and a top honor in the major may try game. 


WHAT TO BID AFTER 5521?
6- 3nt is to play - means that Opener has good stoppers in both majors as we show in some examples;

7- 4
or 4 shows that 3nt is impossible to bid due to the major singleton card, and also shows a minimum hand that does not fits - of course if Responder has a maximum hand with Ace in the 2 cards major assuring that the hand will not lose 3 tricks in both majors he may try game;

Opener Responder

  1nt      3 <= 5521 with singleton in Hearts
             3 <= 5521 with singleton in Spades
   ?
 3nt      <= to play
 4/4 <= minimum - Responder decide pass or game
 4       <= search for keycards in minors (4 keycards + 2 Queens) 
 4
       <= asking for controls in 3 suits
 5/5 <= to play - Responder with maximum can't bid Slam

example7.12:
Opener Responder
 1nt       3  <= singleton Hearts 5521
  ?
- suppose Opener with maximum: Kxx
A43 AK QJ952 
Hand fits and the information about Queen it is not so relevant than the information about controls. Total points in the relevants controls are 11 and Opener has 6 points-controls, so controls should be serached:
 4
  <= ask for controls
  ?
 4nt => up to 2 controls then Opener bids 5 missing 1 ace and 1 king

 5  => 3 controls then Openr bid 6 missing 1 ace
 5  => 4 controls missing
one King then Opener bids 6
 5  => 5 controls  all relevants controls - Opener bids 7
  

example7.13
1nt       3  <= singleton Spades
  ?
 4 => KQx
KJxx AJx Qxx
sign-off but with maximum (x Qx KQxxx AKxxx) Responder may bid 5 but if Opener has no A or K the contract lose 3 tricks in the majors.
In cases like this if Vul bid game if nVul pass. 


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