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2C GF Relay Response in 4cM


wank

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Assuming you open all weak NTs with a major 1M (no strong club, no canape), does that give opener too many hand types for 1M-2C GF relay to work?

I don't think so. I play a relay structure (RS) in a context where

 

1M = 19-30 Bergen points*, 5+ M, unbal.

 

1-2 = 3-way (nat., bal. or support)

1-2 = 4-way (nat., bal., support or IJS)

 

1M-2; ?:

 

2 = 19-21 Bergen points

...2(M=) = 3 H or 3433, inv

...2(M=) = multi-invite

...2 = GF relay

......2N+ = RS

...(...)

2 = 22-24 Bergen points (GF)

...2 = relay

......2N+ = RS

...(...)

2 = 28-30 Bergen points

...2N = GF relay

......3+ = RS+1

2N+ = 25-27 Bergen points, RS

 

By treating invitational hands differently, you could play

 

1M = 11-13 bal., 4-5 M / 19-30 Bergen points, 5+ M, unbal.

 

2 = 11-13 bal. / 19-21 Bergen points

...2 = GF relay

......2 = 11-13 bal. (=> 2N = relay)

......2N+ = RS

...(...)

 

RS (very rough outline):

 

2N = 4+ OM, not 5M5OM / 6+ M, one-suited

...3 = relay

......3 = 6+ M, 1-suited (=> 3 = relay)

......3+ = same as 3+ directly, but with 4+ OM instead of 4+ C

3 = 4+ D, not 5M5D

...3 = relay

......3+ = same as 3+ directly, but with 4+ D instead of 4+ C

3 = 5M5O

...3 = relay

......3 = 5M5C

......3N = 5M5D

......4+ = 5S5H

...(...)

3+ = 4+ C, not 5M5C.

More specifically:

3 = 5M4C22 or 6M4C

...3 = relay (usually W/ 2+ M unless very strong)

......3N = 5M4C22

......4+ = 6M4C

...3N = suggestion opposite 6M4C

...(...)

3 = 5M4C13 (5M044)

3N = 5M4C31

4 = 7M4C (=> 4 = relay)

4+ = 6M5C

 

Of course, this relay structure is in some ways less ambitious than e.g. Kerr-type relay structures, and perhaps more in the style of structures relying on Garozzo's GAR.

 

* In Zar Petkov's sense, where a hand contains n Bergen points iff n is its hcps plus the length of each of its two longest suits.

 

Added, starting 3 December 2016:

 

 

Since very few are going to read this thread again, I think I'll use this post to temporarily store my latest version of the relay structure above. The updated structure, which I will call 'Unbal(x,s)', allows Opener's (or, more generally, Teller's) suit, denoted by x, to also be a minor. That's also true of the following slight generalisation, let's call it RS(x), of RS that I've described in some detail many times before:

 

RS(x):

 

2N = 5x4u, 6+x4+u or 6+ x, 1-suited

...3 = relay

......3 = 6+ x, 1-suited

......3+ = U(x,u)

3 = 5x4v or 6+x4+v

...3 = relay

......3+ = U(x,v)

3 = E(x)

3+ = U(x,w)

 

where u,v and w are the the remaing suit in some preferred order and

 

U(x,y):

 

3 = 5x4y22 or 6x4y

...3 = relay, can stand 4+

......3N = 5x4y22

......4+ = 6x4y

...(...)

3 = 5x4y13 (5x4y04)

3N = 5x4y31 (5x4y40)

4 = 7x4+y

4+ = 6x5+y

 

E():

 

3 = 4S4C(41)

...3 = relay

......3 = 4144

......3N = 4414

...(...)

 

E():

 

3 = 4H4D(41) or 5D5C

...3 = relay [with major suit or slam interest]

......3 = 5D5C

......3N = 1444

......4 = 4441

...(...)

 

E(M):

 

3 = 5M5O

...3 = relay

......3 = 5M5C

......3N = 5M5D

......4+(M=) = 5S5H

...(...)

 

Unlike RS(x), Unbal(x,s) will also depend on a suit s that Responder (or, more generally, Asker) has either shown or is temporarily stipulated to have. I'm going to explain why this seems like a good idea later.

 

Anyway, here's a generalision of RS(x), let's call it RS(x,s), that depends on the shown or stipulated suit s the way Unbal(x,s) does:

 

RS(x,s):

 

2N = 5x4u, 6+x4+u or 6+ x, 1-suited

...3 = relay

......3 = 6+ x, 1-suited

......3+ = U(x,u,s)

3 = 5x4v or 6+x4+v

...3 = relay

......3+ = U(x,v,s)

3 = E(x,s)

3+ = U(x,s,t),

 

where

 

* u and v are suits other than x and s, in some preferred order;

* t is the lowest-ranking suit of u and v.

 

U(x,y,z):

 

3 = 5x4y22 or 6x4y

...3 = relay, can stand 4+

......3N = 5x4y22

......4+ = 6x4y

...(...)

3 = 5x4y3z (5x4y4z)

3N = 5x4y1z (5x4y0z)

4 = 7x4+y

4+ = 6x5+y

 

E(,s):

 

3 = 4S4C(41)

...3 = relay

......3 = 4144

......3N = 4414

...(...)

 

E(,):

 

3 = 4H4D(41) or 5D5C

...3 = relay

......3 = 1444

......3N = 4441

......4+ = 5D5C

...(...)

 

E(,M):

 

3 = 4H4D(41) or 5D5C

...3 = relay

......3 = 5D5C

......3N = 1444

......4+ = 4441

...(...)

 

E(M,s):

 

3 = 5M5O

...3 = relay

......3 = 5M5C

......3N = 5M5D

......4+(M=) = 5S5H

...(...)

 

7 April 2022:

 

Outline of my updated structure (now called 'RPS(x,s)', which is kind of a word play on 'RS(x)' and 'rock, paper, scissors'):

 

RPS(x,s):

 

2N = 5+x4+r but neither 5-5 nor 5x4r4s OR 1-suited

...3 = relay

......3 = 1-suited

......3+ = U(x,r). See U(x,y) below.

...(...)

3 = 5+x4+p but neither 5-5 nor 5x4p4r

...3 = relay

......3+ = U(x,p). See U(x,y) below.

...(...)

3 = 5-5 (if possible) or (4441) (if possible). See E(x,s) below.

3+ = U(x,s). See U(x,y) below.

 

where

  • x is Teller's "primary" suit, specifically
    • the longest suit, if one exists
    • H if 5S5H (or 6S6H)
    • C after 1D-2C; 2D(relay)
    • the higher-ranking suit with 5-5 (or 6-6) in all other cases
    • C if 4C4S(41)
    • D if 4D4H(41)

    [*] s a suit associated with Asker, either

    • naturally, as in RPS(,) (where s=) after 1-1
    • semi-naturally, as in RPS(M,) (where s=) after 1M-2
    • conveniently, as in RPS(,) (where s=) after 1-1N
    • arbitrarily, as in RPS(M,) (where s=) after 1M-1N

    [*] p is

    • H if {x,s}={C,D}
    • OM if {x,s}={m,M}
    • C if {x,s}={M,OM}

    [*] r is the remaining suit, i.e.

    • S if {x,s}={C,D}
    • Om if {x,s}={m,M}
    • D if {x,s}={M,OM}

[not finished]

 

 

 

[not finished]

 

22 April 2022:

 

 

RPS(x,s):

 

Outline:

 

 

2N = 5+x4+r but neither 5-5 nor 5x4r4s OR 1-suited

...3 = relay

......3 = 1-suited. See O(x,s) below.

......3+ = U(x,r). See U(x,y) below.

...(...)

3 = 5+x4+p but neither 5-5 nor 5x4p4r

...3 = relay

......3+ = U(x,p). See U(x,y) below.

...(...)

3 = 5-5 (if possible) or (4441) (if possible). See E(x,s) below.

3+ = U(x,s). See U(x,y) below.

 

 

Complete tree:

 

 

2N = 5+x4+r but neither 5-5 nor 5x4r4s OR 1-suited

...3

......3 = 1-suited

.........3

............3 = 6x1r33, 7x3r(21), 7x0r33, 6x2s(32) or 8x(221)

...............3N

..................4 = 6x2s(32) or 8x(221)

.....................4 = CPKA(x)

........................4 = 8x(221)

...........................4(x!=C) = PKA(x)

...........................4+(x=C) = Norwood()

........................4+ = 6x2s(32), PKR(x)

..................4 = 6x1r33

.....................4//N = PKA(bot(x,p,s)/mid(x,p,s)/top(x,p,s)), resp.

..................4 = 7x3r(21)

.....................{x,r}={C,O}:

.....................4+ = Norwood(x,r)

.....................Else:

.....................4/N = PKA(bot(x,r)/top(x,r)), resp.

..................4+ = 7x0r33, king parity, zoom to 5bot(x,p,s)

............3N = 6x1p33, 7x3p(21) or 7x0p33

...............4

..................4 = 6x1p33

.....................4//N = PKA(bot(x,r,s)/mid(x,r,s)/top(x,r,s)), resp.

..................4 = 7x3p(21)

.....................{x,p}={C,O}:

.....................4+ = Norwood(x,p)

.....................Else:

.....................4/N = PKA(bot(x,p)/top(x,p)), resp.

..................4+ = 7x0p33, king parity, zoom to 5bot(x,r,s)

............4 = 6x3s22 or 7x222

...............4/ = CPKA(bot(x,s)/top(x,s)), resp.

............4 = 6x1s33

...............4//N = PKA(bot(x,r,p)/mid(x,r,p)/top(x,r,p)), resp.

............4 = 7x3s(21)

...............{x,s}={C,O}:

...............4+ = Norwood(x,s)

...............Else:

...............4/N = PKA(bot(x,s)/top(x,s)), resp.

............4+ = 7x0s33, # of kings etc., zoom to 5bot(x,r,p)

......3 = 5x4r22, 6x4r(21), 6+x4+r0p or (7x4r11 and O # of kings)

.........3

............3N = 5x4r22

...............P: allowed

...............4 = PUP 4

..................4

.....................4//N = PKA(//)

...............4 = PKA()

...............4M = to play

...............4N = quantiative

............4 = 6x4r3s

...............4 = end signal

...............4//N = PKA(bot(x,r,s)/mid(x,r,s)/top(x,r,s)), resp.

............4 = 6x4r(21)

...............{x,r}={C,D}

...............4/ = PKA(/), resp.

...............{x,r}={C,H}:

...............4 = to play

...............4+ = Norwood(,)

...............{x,r}={m,S}:

...............4 = PKA(m)

...............4 = to play

...............4N = PKA()

...............{x,r}={D,H}

...............4 = to play

...............4/N = PKA(/), resp.

...............{x,r}={H,S}:

...............4 = to play

...............4N/5 = PKA(/), resp.

............4 = 6x5r2s

...............P(H∈{x,r}): allowed

...............{x,r}={m,S}:

...............4 = to play

...............4N+ = Norwood(m,)

...............{x,r}={H,S}:

...............4 = to play

...............4N/5 = PKA(/), resp.

...............Else:

...............4/N = PKA(bot(x,r)/top(x,r)), resp.

............4 = 7x4r2s

...............bot(x,r)=m:

...............4N+ = Norwood(x,r)

...............{x,r}={H,S}:

...............4N/5 = PKA(/), resp.

............4N+ = 7x4r11, O # of kings, zoom to 5bot(x,r)

......3 = 5x4r3s or 5x4r4s

.........3N = to play opposite 5x4r3s

............P = 5x4r3s

............4 = 5x4r4s

.........4 = relay with slam interest but no primary fit for bot(x,r,s) or, if p=H, D

............4 = 5x4r4s

...............s=bot(x,r,s):

...............4//N = PKA(s/mid(x,r,s)/top(x,r,s)), resp.

...............s=S,p=H:

...............4 = PKA()

...............Else:

...............4/ = PKA(mid(x,r)/top(x,r)), resp.

............4 = 5x4r3s

...............p=m:

...............P: possible

...............4 = to play

...............4N/5 = PKA(mid(x,r,s)/top(x,r,s)), resp.

...............p=H:

...............4 = to play

...............4N = PKA()

...............p=S:

...............P: possible

...............4/N = PKA(/), resp.

.........4 = CPKA(bot(x,r,s))

............4 = 5x4r4s

...............bot(x,r,s)=C:

...............4+(s=C) = Norwood()

...............4+(else) = Norwood(,s)

...............bot(x,r,s)=D

...............4 = PKA()

...............4N(s!=D) = PKA(s)

............4+ = 5x4r3s, PKR(bot(x,r,s))

.........4(p=H) = CPKA()

............4 = 5x4r4s

...............4N+(s=D) = Norwood()

...............4N+(else) = Norwood(,s)

............4N+ = 5x4r3s, PKR()

.........4M(M!=H) = to play

......3N = 5x4r3p

.........P: allowed

.........4 = PUP 4

............4

...............4//N = PKA(//)

.........4 = PKA()

.........4M = to play

.........4N = quantiative

......4 = 6x4r3p

.........4 = end signal

.........4//N = PKA(bot(x,r,p)/mid(x,r,p)/top(x,r,p)), resp.

......4 = 6x5r11

.........{x,r}={C,D}

.........4/ = PKA(/), resp.

.........{x,r}={C,H}:

.........4 = to play

.........4+ = Norwood(,)

.........{x,r}={m,S}:

.........4 = PKA(m)

.........4 = to play

.........4N = PKA()

.........{x,r}={D,H}

.........4 = to play

.........4/N = PKA(/), resp.

.........{x,r}={H,S}:

.........4 = to play

.........4N/5 = PKA(/), resp.

......4 = 6x5r2p

.........P(H∈{x,r}): allowed

.........{x,r}={m,S}:

.........4 = to play

.........4N+ = Norwood(m,)

.........{x,r}={H,S}:

.........4 = to play

.........4N/5 = PKA(/), resp.

.........Else:

.........4/N = PKA(bot(x,r)/top(x,r)), resp.

......4 = 7x4r2p

.........bot(x,r)=m:

.........4N+ = Norwood(x,r)

.........{x,r}={H,S}:

.........4N/5 = PKA(/), resp.

......4N+ = 7x4r11, E # of kings, zoom to 5bot(x,r)

...(...)

3 = 5+x4+p but neither nor 5-5 or 5x4p4r

...3 =

......3 = 5x4p22, 6x4p(21), 6+x4+p0s or (7x4p11 and O # of kings)

.........3

............3N = 5x4p22

...............P: allowed

...............4 = PUP 4

..................4

.....................4//N = PKA(//)

...............4 = PKA()

...............4M = to play

...............4N = quantiative

............4 = 6x4p3r

...............4 = end signal

...............4//N = PKA(bot(x,p,r)/mid(x,p,r)/top(x,p,r)), resp.

............4 = 6x4p(21)

...............4/ = PKA(/), resp.

...............{x,p}={C,H}:

...............4 = to play

...............4+ = Norwood(,)

...............{x,p}={m,S}:

...............4 = PKA(m)

...............4 = to play

...............4N = PKA()

...............{x,p}={D,H}

...............4 = to play

...............4/N = PKA(/), resp.

...............{x,p}={H,S}:

...............4 = to play

...............4N/5 = PKA(/), resp.

............4 = 6x5p2r

...............P(H∈{x,p}): allowed

...............{x,p}={m,S}:

...............4 = to play

...............4N+ = Norwood(m,)

...............{x,p}={H,S}:

...............4 = to play

...............4N/5 = PKA(/), resp.

...............Else:

...............4/N = PKA(bot(x,p)/top(x,p)), resp.

............4 = 7x4p2r

...............bot(x,p)=m:

...............4N+ = Norwood(x,p)

...............{x,p}={H,S}:

...............4N/5 = PKA(/), resp.

............4N+ = 7x4p11, O # of kings, zoom to 5bot(x,p)

......3 = 5x4p3r or 5x4p4r

.........3N = to play opposite 5x4p3r

............P = 5x4p3r

............4 = 5x4p4r

.........4 = relay with slam interest but no primary fit for bot(x,p,r) or, if s=H, D

............4 = 5x4p4r

...............r=bot(x,p,r):

...............4//N = PKA(r/mid(x,p,r)/top(x,p,r)), resp.

...............r=S,p=H:

...............4 = PKA()

...............Else:

...............4/ = PKA(mid(x,p)/top(x,p)), resp.

............4 = 5x4p3r

...............s=m:

...............P: possible

...............4 = to play

...............4N/5 = PKA(mid(x,p,r)/top(x,p,r)), resp.

...............s=H:

...............4 = to play

...............4N = PKA()

...............s=S:

...............P: possible

...............4/N = PKA(/), resp.

.........4 = CPKA(bot(x,p,r))

............4 = 5x4p4r

...............bot(x,p,r)=C:

...............4+(r=C) = Norwood()

...............4+(else) = Norwood(,r)

...............bot(x,p,r)=D

...............4 = PKA()

...............4N(r!=D) = PKA®

............4+ = 5x4p3r, PKR(bot(x,p,r))

.........4(s=H) = CPKA()

............4 = 5x4p4r

...............4N+(r=D) = Norwood()

...............4N+(else) = Norwood(,r)

............4N+ = 5x4p3r, PKR()

.........4M(M!=H) = to play

......3N = 5x4p3s

.........P: allowed

.........4 = PUP 4

............4

...............4//N = PKA(//)

.........4 = PKA()

.........4M = to play

.........4N = quantiative

......4 = 6x4p3s

.........4 = end signal

.........4//N = PKA(bot(x,p,s)/mid(x,p,s)/top(x,p,s)), resp.

......4 = 6x5p11

.........{x,p}={C,D}

.........4/ = PKA(/), resp.

.........{x,p}={C,H}:

.........4 = to play

.........4+ = Norwood(,)

.........{x,p}={m,S}:

.........4 = PKA(m)

.........4 = to play

.........4N = PKA()

.........{x,p}={D,H}

.........4 = to play

.........4/N = PKA(/), resp.

.........{x,p}={H,S}:

.........4 = to play

.........4N/5 = PKA(/), resp.

......4 = 6x5p2s

.........P(H∈{x,p}): allowed

.........{x,r}={m,S}:

.........4 = to play

.........4N+ = Norwood(m,)

.........{x,p}={H,S}:

.........4 = to play

.........4N/5 = PKA(/), resp.

.........Else:

.........4/N = PKA(bot(x,p)/top(x,p)), resp.

......4 = 7x4p2s

.........bot(x,p)=m:

.........4N+ = Norwood(x,p)

.........{x,p}={H,S}:

.........4N/5 = PKA(/), resp.

......4N+ = 7x4p11, E # of kings, zoom to 5bot(x,p)

3 = 5-5 (if possible) or (4441) (if possible)

...3 = relay

......{x,s}={C,D}:

......3 = 4x4M(colour(x))14 (if possible)

.........3N = to play

.........4 = PUP 4

............4

...............4//N = PKA(//)

.........4 = PKA()

.........4M = to play

.........4N = quantiative

......3N = 4x4M(colour(x))41 (if possible)

.........P: allowed

.........4 = PUP 4

............4

...............4//N = PKA(//)

.........4 = PKA()

.........4M = to play

.........4N = quantiative

......4 = 3055 (if possible)

.........4 = end signal

.........4//N = PKA(//), resp.

......4 = (21)55 (if possible)

.........4/ = PKA(/), resp.

......4 = 0355 (if possible)

.........4+ = Norwood(,,)

......(x,s)=(m,M):

......3 = 5D5C (if possible)

.........3N = to play opposite (21)55

............P = (21)55

............(...)

.........4 = CPKA()

............4 = 0355

...............4/ = PKA(/), resp.

............4 = 3055

...............4+ = Norwood(,)

............4+ = 5D5C(21), PKR()

.........4 = CPKA()

............4 = 0355

...............4 = PKA(/), resp.

............4 = 3055

...............4N+ = Norwood(,)

............4N+ = 5D5C(21), PKR()

......3N = 4m4M(colour(m))14

.........P: allowed

.........4 = PUP 4

............4

...............4//N = PKA(//)

.........4 = PKA()

.........4M = to play

.........4N = quantiative

......4 = 4m4M(colour(m))41

.........4 = end signal

.........4//N = PKA(m//), resp.

......x=M:

......3 = 5M5D

.........3N = to play opposite 5M5D(21)

............P = 5M5D(21)

............(...)

.........4 = CPKA()

............4 = 5M5D03

...............4/ = PKA(/), resp.

............4 = 5M5D30

...............4/N = PKA(/OM), resp.

............4+ = 5M5D(21), PKR()

.........4 = CPKA(M)

............4M = 5M5D(21)

...............P: possible

...............4M+1 = PKA(M)

............4OM = 5M5D30

...............P: possible

...............4(M=) = to play

...............4N/5 = PKA(/), resp.

............4N+ = 5M5D03, PKR(M)

.........4M = to play

......3N = 5M5C2-s

.........P: allowed

.........4 = CPKA()

............4 = 5M5C0s

...............4/ = PKA(/framgment suit), resp.

............4+ = 5M5C(21), PKR()

.........4 = CPKA(M)

............4M = 5M5C(21)

...............P: possible

............4/4N+ = 5M5C0s, PKR(M)

.........4M = to play

......4((x,s)=(H,C)) = 5503

.........4 = end signal

.........4//N = PKA(//), resp.

......4((x,s)=(M,OM)) = 5M5C3OM

.........4 = end signal

.........4//N = PKA(//), resp.

......4((x,s)=(S,C)) = 5035

.........4 = end signal

.........4//N = PKA(//), resp.

......4(x=H) = 55(21)

.........s=C:

.........4M = to play

.........4N/5 = PKA(/), resp.

.........s=S:

.........4 = PKA()

.........4 = to play

......4(x=H) = 5H5s03

.........P: allowed

.........s=C:

.........4+ = Norwood(,,)

.........s=S:

.........4 = to play

.........4N = PKA()

......4(x=H) = 5530

.........P: allowed

.........4N(s=S) = PKA()

.........4N+(s=C) = Norwood(,,)

3 = 5x4s22, 6x4s(21), 6+x4+s0r or (7x4s11 and O # of kings)

...3

......3N = 5x4s22

.........P: allowed

.........4 = PUP 4

............4

...............4//N = PKA(//)

.........4 = PKA()

.........4M = to play

.........4N = quantiative

......4 = 6x4s3p

.........4 = end signal

.........4//N = PKA(bot(x,s,p)/mid(x,s,p)/top(x,s,p)), resp.

......4 = 6x4s(21)

.........{x,s}={C,D}

.........4/ = PKA(/), resp.

.........{x,s}={C,H}:

.........4 = to play

.........4+ = Norwood(,)

.........{x,s}={m,S}:

.........4 = PKA(m)

.........4 = to play

.........4N = PKA()

.........{x,s}={D,H}

.........4 = to play

.........4/N = PKA(/), resp.

.........{x,s}={H,S}:

.........4 = to play

.........4N/5 = PKA(/), resp.

......4 = 6x5s2p

.........P(H∈{x,s}): allowed

.........{x,s}={m,S}:

.........4 = to play

.........4N+ = Norwood(m,)

.........{x,s}={H,S}:

.........4 = to play

.........4N/5 = PKA(/), resp.

.........Else:

.........4/N = PKA(bot(x,s)/top(x,s)), resp.

......4 = 7x4s2p

.........bot(x,s)=m:

.........4N+ = Norwood(x,s)

.........{x,s}={H,S}:

.........4N/5 = PKA(/), resp.

......4N+ = 7x4s11, O # of kings, zoom to 5bot(x,s)

3 = 5x4s3p or 5x4s4p

...3N = to play opposite 5x4s3p

......P = 5x4s3p

......4 = 5x4s4p

...4 = relay with slam interest but no primary fit for bot(x,s,p) or, if r=H, D

......4 = 5x4s4p

.........p=bot(x,s,p):

.........4//N = PKA(p/mid(x,s,p)/top(x,s,p)), resp.

.........p=S,s=H:

.........4 = PKA()

.........Else:

.........4/ = PKA(mid(x,s)/top(x,s)), resp.

......4 = 5x4s3p

.........r=m:

.........P: possible

.........4 = to play

.........4N/5 = PKA(mid(x,s,p)/top(x,s,p)), resp.

.........r=H:

.........4 = to play

.........4N = PKA()

.........r=S:

.........P: possible

.........4/N = PKA(/), resp.

...4 = CPKA(bot(x,s,p))

......4 = 5x4s4p

.........bot(x,s,p)=C:

.........4+(p=C) = Norwood()

.........4+(else) = Norwood(,p)

.........bot(x,s,p)=D

.........4 = PKA()

.........4N(p!=D) = PKA(p)

......4+ = 5x4s3p, PKR(bot(x,s,p))

...4(r=H) = CPKA()

......4 = 5x4s4p

.........4N+(p=D) = Norwood()

.........4N+(else) = Norwood(,p)

......4N+ = 5x4s3p, PKR()

...4M(M!=H) = to play

3N = 5x4s3r

...P: allowed

...4 = PUP 4

......4

.........4//N = PKA(//)

...4 = PKA()

...4M = to play

...4N = quantiative

4 = 6x4s3r

...4 = end signal

...4//N = PKA(bot(x,s,r)/mid(x,s,r)/top(x,s,r)), resp.

4 = 6x5s11

...{x,s}={C,D}

...4/ = PKA(/), resp.

...{x,s}={C,H}:

...4 = to play

...4+ = Norwood(,)

...{x,s}={m,S}:

...4 = PKA(m)

...4 = to play

...4N = PKA()

...{x,s}={D,H}

...4 = to play

...4/N = PKA(/), resp.

...{x,s}={H,S}:

...4 = to play

...4N/5 = PKA(/), resp.

4 = 6x5s2r

...P(H∈{x,s}): allowed

...{x,s}={m,S}:

...4 = to play

...4N+ = Norwood(m,)

...{x,s}={H,S}:

...4 = to play

...4N/5 = PKA(/), resp.

...Else:

...4/N = PKA(bot(x,s)/top(x,s)), resp.

4 = 7x4s2r

...bot(x,s)=m:

...4N+ = Norwood(x,s)

...{x,s}={H,S}:

...4N/5 = PKA(/), resp.

4N+ = 7x4s11, E # of kings, zoom to 5bot(x,s)

 

 

 

 

O(x,s):

 

Outline:

 

 

3 = 1-suited

...3

......3 = 6x1r33, 7x3r(21), 7x0r33, 6x2s(32) or 8x(221)

.........3N

............4 = 6x2s(32) or 8x(221) (=> 4 = CPKA(x). See CPKA below.)

............4 = 6x1r33

............4 = 7x3r(21)

............4+ = 7x0r33, king parity, zoom to 5bot(x,p,s)

......3N = 6x1p33, 7x3p(21) or 7x0p33

.........4

............4 = 6x1p33

............4 = 7x3p(21)

............4+ = 7x0p33, king parity, zoom to 5bot(x,r,s)

......4 = 6x3s22 or 7x222 (=> 4/ = CPKA(bot(x,s)/top(x,s)), resp. See CPKA below.)

......4 = 6x1s33

......4 = 7x3s(21)

......4+ = 7x0s33, # of kings etc., zoom to 5bot(x,r,p)

 

 

In great detail:

 

 

3 = 1-suited

...3

......3 = 6x1r33, 7x3r(21), 7x0r33, 6x2s(32) or 8x(221)

.........3N

............4 = 6x2s(32) or 8x(221)

...............4 = CPKA(x)

..................4 = 8x(221)

.....................4(x!=C) = PKA(x)

.....................4+(x=C) = Norwood()

..................4+ = 6x2s(32), PKR(x)

............4 = 6x1r33

...............4//N = PKA(bot(x,p,s)/mid(x,p,s)/top(x,p,s)), resp.

............4 = 7x3r(21)

...............{x,r}={C,O}:

...............4+ = Norwood(x,r)

...............Else:

...............4/N = PKA(bot(x,r)/top(x,r)), resp.

............4+ = 7x0r33, king parity, zoom to 5bot(x,p,s)

......3N = 6x1p33, 7x3p(21) or 7x0p33

.........4

............4 = 6x1p33

...............4//N = PKA(bot(x,r,s)/mid(x,r,s)/top(x,r,s)), resp.

............4 = 7x3p(21)

...............{x,p}={C,O}:

...............4+ = Norwood(x,p)

...............Else:

...............4/N = PKA(bot(x,p)/top(x,p)), resp.

............4+ = 7x0p33, king parity, zoom to 5bot(x,r,s)

......4 = 6x3s22 or 7x222

.........4/ = CPKA(bot(x,s)/top(x,s)), resp.

......4 = 6x1s33

.........4//N = PKA(bot(x,r,p)/mid(x,r,p)/top(x,r,p)), resp.

......4 = 7x3s(21)

.........{x,s}={C,O}:

.........4+ = Norwood(x,s)

.........Else:

.........4/N = PKA(bot(x,s)/top(x,s)), resp.

......4+ = 7x0s33, # of kings etc., zoom to 5bot(x,r,p)

 

 

 

 

E(x,s):

 

Outline:

 

 

3 = 5-5 (if possible) or (4441) (if possible)

...3 = relay

......{x,s}={C,D}:

......3 = 4x4M(colour(x))14 (if possible)

......3N = 4x4M(colour(x))41 (if possible)

......4 = 3055 (if possible)

......4 = (21)55 (if possible)

......4 = 0355 (if possible)

......(x,s)=(m,M):

......3 = 5D5C (if possible) (=> 4/ = CPKA(/), resp. See CPKA below.)

......3N = 4m4M(colour(m))14

......4 = 4m4M(colour(m))41

......x=M:

......3 = 5M5D (=> 4/ = CPKA(/M), resp. See CPKA below.)

......3N = 5M5C2-s (=> 4/ = CPKA(/M), resp. See CPKA below.)

......4((x,s)=(H,C)) = 5503

......4((x,s)=(M,OM)) = 5M5C3OM

......4((x,s)=(S,C)) = 5035

......4(x=H) = 55(21)

......4(x=H) = 5H5s03

......4(x=H) = 5530

 

 

In great detail:

 

 

3 = 5-5 (if possible) or (4441) (if possible)

...3 = relay

......{x,s}={C,D}:

......3 = 4x4M(colour(x))14 (if possible)

.........3N = to play

.........4 = PUP 4

............4

...............4//N = PKA(//)

.........4 = PKA()

.........4M = to play

.........4N = quantiative

......3N = 4x4M(colour(x))41 (if possible)

.........P: allowed

.........4 = PUP 4

............4

...............4//N = PKA(//)

.........4 = PKA()

.........4M = to play

.........4N = quantiative

......4 = 3055 (if possible)

.........4 = end signal

.........4//N = PKA(//), resp.

......4 = (21)55 (if possible)

.........4/ = PKA(/), resp.

......4 = 0355 (if possible)

.........4+ = Norwood(,,)

......(x,s)=(m,M):

......3 = 5D5C (if possible)

.........3N = to play opposite (21)55

............P = (21)55

............(...)

.........4 = CPKA()

............4 = 0355

...............4/ = PKA(/), resp.

............4 = 3055

...............4+ = Norwood(,)

............4+ = 5D5C(21), PKR()

.........4 = CPKA()

............4 = 0355

...............4 = PKA(/), resp.

............4 = 3055

...............4N+ = Norwood(,)

............4N+ = 5D5C(21), PKR()

......3N = 4m4M(colour(m))14

.........P: allowed

.........4 = PUP 4

............4

...............4//N = PKA(//)

.........4 = PKA()

.........4M = to play

.........4N = quantiative

......4 = 4m4M(colour(m))41

.........4 = end signal

.........4//N = PKA(m//), resp.

......x=M:

......3 = 5M5D

.........3N = to play opposite 5M5D(21)

............P = 5M5D(21)

............(...)

.........4 = CPKA()

............4 = 5M5D03

...............4/ = PKA(/), resp.

............4 = 5M5D30

...............4/N = PKA(/OM), resp.

............4+ = 5M5D(21), PKR()

.........4 = CPKA(M)

............4M = 5M5D(21)

...............P: possible

...............4M+1 = PKA(M)

............4OM = 5M5D30

...............P: possible

...............4(M=) = to play

...............4N/5 = PKA(/), resp.

............4N+ = 5M5D03, PKR(M)

.........4M = to play

......3N = 5M5C2-s

.........P: allowed

.........4 = CPKA()

............4 = 5M5C0s

...............4/ = PKA(/framgment suit), resp.

............4+ = 5M5C(21), PKR()

.........4 = CPKA(M)

............4M = 5M5C(21)

...............P: possible

............4/4N+ = 5M5C0s, PKR(M)

.........4M = to play

......4((x,s)=(H,C)) = 5503

.........4 = end signal

.........4//N = PKA(//), resp.

......4((x,s)=(M,OM)) = 5M5C3OM

.........4 = end signal

.........4//N = PKA(//), resp.

......4((x,s)=(S,C)) = 5035

.........4 = end signal

.........4//N = PKA(//), resp.

......4(x=H) = 55(21)

.........s=C:

.........4M = to play

.........4N/5 = PKA(/), resp.

.........s=S:

.........4 = PKA()

.........4 = to play

......4(x=H) = 5H5s03

.........P: allowed

.........s=C:

.........4+ = Norwood(,,)

.........s=S:

.........4 = to play

.........4N = PKA()

......4(x=H) = 5530

.........P: allowed

.........4N(s=S) = PKA()

.........4N+(s=C) = Norwood(,,)

 

 

 

U(x,y):

 

Outline:

 

 

3 = 5x4y22, 6x4y(21), 6+x4+y0s(y) or (7x4y11 and O # kings)

...3

......3N = 5x4y22

......4 = 6x4y3p(y)

......4 = 6x4y(21)

......4 = 6x5y2p(y)

......4 = 7x4y2p(y)

......4N+ = 7x4y11, O # of kings, zoom to 5bot(x,y)

3 = 5x4y3p(y) or 5x4y4p(y) (full resolution still possible)

3N = 5x4y3s(y)

4 = 6x4y3s(y)

4 = 6x5y11

4 = 6x5y2s(y)

4 = 7x4y2s(y)

4N+ = 7x4y11, E # of kings, zoom to 5bot(x,y)

 

 

In great detail:

 

 

3 = 5x4y22, 6x4y(21), 6+x4+y0s(y) or (7x4y11 and O # kings)

...3

......3N = 5x4y22

.........P: allowed

.........4 = PUP 4

............4

...............4//N = PKA(//)

.........4 = PKA()

.........4M = to play

.........4N = quantiative

......4 = 6x4y3p(y)

.........4 = end signal

.........4//N = PKA(bot(x,y,p(y))/mid(x,y,p(y))/top(x,y,p(y))), resp.

......4 = 6x4y(21)

.........{x,y}={C,D}

.........4/ = PKA(/), resp.

.........{x,y}={C,H}:

.........4 = to play

.........4+ = Norwood(,)

.........{x,y}={m,S}:

.........4 = PKA(m)

.........4 = to play

.........4N = PKA()

.........{x,y}={D,H}

.........4 = to play

.........4/N = PKA(/), resp.

.........{x,y}={H,S}:

.........4 = to play

.........4N/5 = PKA(/), resp.

......4 = 6x5y2p(y)

.........P(H∈{x,y}): allowed

.........{x,y}={m,S}:

.........4 = to play

.........4N+ = Norwood(m,)

.........{x,y}={H,S}:

.........4 = to play

.........4N/5 = PKA(/), resp.

.........Else:

.........4/N = PKA(bot(x,y)/top(x,y)), resp.

......4 = 7x4y2p(y)

.........bot(x,y)=m:

.........4N+ = Norwood(x,y)

.........{x,y}={H,S}:

.........4N/5 = PKA(/), resp.

......4N+ = 7x4y11, O # of kings, zoom to 5bot(x,y)

3 = 5x4y3p(y) or 5x4y4p(y)

...3N = to play opposite 5x4y3p(y)

......P = 5x4y3p(y)

......4 = 5x4y4p(y)

...4 = relay with slam interest but no primary fit for bot(x,y,p(y)) or, if r=H, D

......4 = 5x4y4p(y)

.........p(y)=bot(x,y,p(y)):

.........4//N = PKA(p(y)/mid(x,y,p(y))/top(x,y,p(y))), resp.

.........p(y)=S,y=H:

.........4 = PKA()

.........Else:

.........4/ = PKA(mid(x,y)/top(x,y)), resp.

......4 = 5x4y3p(y)

.........s(y)=m:

.........P: possible

.........4 = to play

.........4N/5 = PKA(mid(x,y,p(y))/top(x,y,p(y))), resp.

.........s(y)=H:

.........4 = to play

.........4N = PKA()

.........s(y)=S:

.........P: possible

.........4/N = PKA(/), resp.

...4 = CPKA(bot(x,y,p(y)))

......4 = 5x4y4p(y)

.........bot(x,y,p(y))=C:

.........4+(p(y)=C) = Norwood()

.........4+(else) = Norwood(,p(y))

.........bot(x,y,p(y))=D

.........4 = PKA()

.........4N(p(y)!=D) = PKA(p(y))

......4+ = 5x4y3p(y), PKR(bot(x,y,p(y)))

...4(s(y)=H) = CPKA()

......4 = 5x4y4p(y)

.........4N+(p(y)=D) = Norwood()

.........4N+(else) = Norwood(,p(y))

......4N+ = 5x4y3p(y), PKR()

...4M(M!=H) = to play

3N = 5x4y3s(y)

...P: allowed

...4 = PUP 4

......4

.........4//N = PKA(//)

...4 = PKA()

...4M = to play

...4N = quantiative

4 = 6x4y3s(y)

...4 = end signal

...4//N = PKA(bot(x,y,s(y))/mid(x,y,s(y))/top(x,y,s(y))), resp.

4 = 6x5y11

...{x,y}={C,D}

...4/ = PKA(/), resp.

...{x,y}={C,H}:

...4 = to play

...4+ = Norwood(,)

...{x,y}={m,S}:

...4 = PKA(m)

...4 = to play

...4N = PKA()

...{x,y}={D,H}

...4 = to play

...4/N = PKA(/), resp.

...{x,y}={H,S}:

...4 = to play

...4N/5 = PKA(/), resp.

4 = 6x5y2s(y)

...P(H∈{x,y}): allowed

...{x,y}={m,S}:

...4 = to play

...4N+ = Norwood(m,)

...{x,y}={H,S}:

...4 = to play

...4N/5 = PKA(/), resp.

...Else:

...4/N = PKA(bot(x,y)/top(x,y)), resp.

4 = 7x4y2s(y)

...bot(x,y)=m:

...4N+ = Norwood(x,y)

...{x,y}={H,S}:

...4N/5 = PKA(/), resp.

4N+ = 7x4y11, E # of kings, zoom to 5bot(x,y)

 

 

 

 

 

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I think it is doable, but you will probably be too high to do full relays. If I understand correctly your 1M opening is 4+ cards, not canapé and if balanced then 12-14 or 18-19? I would probably start with something fairly simple (where 2C is game forcing), and you can build from that.

 

One way is to make 2D a catch-all for balanced hands and 2M as a catch-all for minimum unbalanced hands.

 

1H--2C;

2D = 12--14 NT or 18--19 NT or semi-balanced with extras.

2H = 5+ hearts, unbalanced and minimum

2S = Natural unbalanced, extras

2NT = 6+ hearts, unbalanced extras

3m = Natural unbalanced, extras

 

Over 2D, 2H relays again:

 

1H--2C; 2D--2H;

2S = 12--14 NT

...2NT = Relay

......3m = Natural, 4-4

......3H = 5332

......3S = Natural, 4-4

......3N = 4333

2N = 18--19 NT, not 5 hearts

...3C = Relay

......3D = Natural, 4-4

......3H = 4 clubs, 4-4

......3S = Natural, 4-4

......3N = 4333

3CD = Natural, 5422 and extras

3H = Natural, 6322 and extras

3S = Natural, 5422 and extras

3N = 5332 and 18--19

 

You will need another relay over 1H--2C; 2H as well:

 

1H--2C; 2H--2S;

2N = 6+ hearts

3m = Natural

3H = 4 spades

 

Over 1S--2C you can do basically the same thing.

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If I understand correctly your 1M opening is 4+ cards, not canapé and if balanced then 12-14 or 18-19?

 

 

that's right except that with 18-19 we effectively play 5 card majors, so 1H is either the longest suit in an unbalanced hand, a weak NT with 4 hearts, 18-19 balanced with 5 hearts or 44(41). the 4441s could be removed if that helped.

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Assuming you open all weak NTs with a major 1M (no strong club, no canape), does that give opener too many hand types for 1M-2C GF relay to work?

 

It depends what you mean by 'work'. There may be the odd sequence where you can't show the exact hand pattern below an acceptable level, but often the exact hand pattern will be irrelevant.

 

As I'm sure you know, there are pros and cons on relay systems. When Opener is balanced, it is less useful for Responder to know the exact shape.

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Just a comment on the structure I posted above:

 

After Opener has shown 5M4O with a bid of 3 or 3N, it's useful to have a gadget like Rodwell's Mulberry in order to set trumps and ask for key cards. But unlike in the typical structures where Mulberry is used, like Flannery or 3-suited openings, Opener's range is now very narrowly defined, but it may still not be known whether he has (5431) or extra shape, which we can take to be (5440). So instead of Mulberry I play something close to

 

...3[=5M4O13 (5M4O04)]-?: / ...3N[=5M4O31 (5M4O40)]-?: / ...3N[=5M4OM22]-?:

 

4 = minor suit slam try

...4 = no extra shape

......4 = PKC()

......4 = PKC()

......4N = undefined (but maybe "Baron" looking for a playable 7-card fit?)

......5 = to play (was hoping for extra shape)

......5 = to play (was hoping for extra shape)

...4 = extra shape

......4 = TPKC()

......4N = TPKC()

4 = major suit slam try

...4 = no extra shape

......P/4 = to play (was hoping for extra shape)

......4N = PKC()

......5 = PKC()

...4 = extra shape

......4N = PKC()

......5 = PKC()

4 = to play

4 = to play

4N = quantitative (if you like)

5 = to play

5 = to play

 

where

 

PKC(x)-?: ['PKC' = 'Parity Key Card (Blackwood)', as described here http://viewsfromthebridgetable.blogspot.no/2007/03/parity-key-card.html]

 

4x+3 = even # of KC (=> 4x+4 = xQ ask and start of spiral scan)

4x+4 = odd # of KC, no xQ

5x = odd # of KC and the xQ

 

and

 

TPKC(x)-?: ['TPKC' = 'Truncated Parity Key Card (Blackwood)' (had to call it something)]

 

4x+4 = even # of KC (=> 5x+1 = xQ ask and start of spiral scan)

5x = odd # of KC (=> 5x+1 = xQ ask and start of spiral scan)

 

Edited 09.12.15 to include example based on deal from http://www.bridgebase.com/forums/topic/73042-error-on-beat-by-robbot/page__pid__870596#entry870596:

 

[hv=pc=n&s=sakqhak9764d75cj9&w=sj96543htdkq3cq43&n=shqj832dat96cak86&e=st872h5dj842ct752&d=n&v=0b=1&a=1hp2c(3-way)p2h(22-24 Bergen points)p2s(relay)p3s(1534 or, possibly, 0544, hence 13-15 hcp)p4d(major suit slam try)p4s(0544)p4n(PKC agreeing H)p5c(even number of KC)p5s(CK ask)p6c(CK, no DK)p6d(CQ ask)p6h(no CQ)p7hppp]399|300[/hv]

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For full relays it is certainly too high but you might be able to get enough information not to be guessing too badly. If going the relay route I would strongly suggest the INV+ relay method for this system, as that at least allows you to split some of the hands off immediately. In the case of a 1 opening this is an obvious win for an overloaded structure.
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Another, less natural, scheme. Responding 2S or higher shows extras and 5+ major.

 

1M--2C;
2D = Unbalanced minimum, not 6+ major
2H = 12--14 NT or 6+ major any strength
 2S = Relay
   2N = 6+M, minimum (3C relays and 3D+ as below)
   3C = 12--14 NT
     3D = Relay
       3H = 4-4 pattern (3S asks side suit)
       3S = 5332 pattern
       3N = 4333
   3D = 6+M, max, no shortness
   3H = 6+M, max, short clubs
   3S = 6+M, max, short diamonds
   3N = 6+M, max, short other major
   4CD = 6+M, max and void
   4H = 6+ major, max and void other major
2S = 4+ clubs
2N = 4(+) cards in other major
 3C = Relay
   3D = No shortness
   3H = Short clubs
   3S = Short diamonds
3C = 4 diamonds and shortness
3D = 4 diamonds no shortness
3H = 5+ diamonds, clubs
3S = 5+ diamonds, short other major
3N = 5+ diamonds, void clubs
4C = 5+ diamonds, void other major

 

Over 2D responder can relay and opener responds as 2S+ above. Over 2S

opener relays and respones as 3C+ above. Over 3C opener can relay to

find out about shortness (as 3H and 3S above). 5-5 majors is

problematic, which in my experience they always are when designing

relay structures :P

 

12--14 NT end up high, but you find out about the most important

aspects (min/max, hand type and shortness). 6-4 hands and 7+ suits are

problematic.

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5-5 majors is problematic, which in my experience they always are when designing relay structures :P

One possibility, based on my structure above:

 

...3(5S5O)-3(relay); ?:

 

(...)

4 = 5512 or 5503

...4 = relay

......4 = 5512 (=> 4N = PKC(); 5 = PKC())

......4 = 5503 (=> 4N = PKC(); 5 = PKC())

4 = 5521 (=> 4N = PKC(); 5 = PKC())

4 = 5530 (=> 4N = PKC(); 5 = PKC())

 

Similarly with 6M4OM:

 

...2N(6+M4+OM, not 5S5H / 6+ M, 1-suited)-3(relay); 3(5M4OM22 or 6M4OM)-3(relay); ?:

 

(...)

4 = 6M4OM12 or 6M4OM03

...4 = relay

......4 = 6M4OM12 (=> 4N = PKC(); 5 = PKC())

......4 = 6M4OM03 (=> 4N = PKC(); 5 = PKC())

4 = 6M4OM21 (=> 4N = PKC(); 5 = PKC())

4 = 6M4OM30 (=> 4N = PKC(); 5 = PKC())

 

Edited to include example based on hands from http://www.bridgebase.com/forums/topic/73037-another-risky-grand/page__pid__870494, but with South as dealer instead of North:

 

[hv=pc=n&s=sakq92hkq987dqt2c&n=s3hat65dak85cq753&d=s&v=e&b=9&a=1sp2c(4-way)p3d(15-17, 5S5O)p3h(relay)p4h(5530)p4n(PKC agreeing H)p5c(even number of KC)p5d(trump Q ask)p5n(trump Q + SK, no DK)p6c(SQ ask)p6s(SQ + DQ, no SJ)p7hppp]266|200[/hv]

 

(Of course, North could have jumped to 7 over 5N.)

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7+ suits are problematic.

My one-suited structure (based on the above) is effectively +5(!!), sometimes +4(!), Symmetric Relay, but it works reasonably well partly because Responder has had plenty opportunity to revert to natural on unbalanced hands without tolerance for Opener's major. The structure is close to:

 

...3(6+ M, 1-suited)-3(relay, usually 2+ M); ?:

 

3 = SPL C or 6M(32)2 [the potentially misfitting "low shortage" oppposite a hand with real clubs is included in the first step, unlike in Symmetric Relay]

...3N = relay

......4 = 6M(32)2

.........4 = relay

............4 = 6M232 (=> 4M+1 = RKC(M))

............4 = 6M322 (=> 4N(M=) = PKC(); 4N(M=) = RKC())

......4+ = same as 4+ directly, but with SPL C instead of SPL OM

3N = SPL D

...4 = relay

......4+ = same as 4+ directly, but with SPL D instead of SPL OM

4 = 6M223 or 7M222

...4 = relay

......4 = 6M223 (=> 4M+1 = RKC(M))

......4 = 7M222 (=> 4N(M=) = PKC(); 4N(M=) = RKC())

4+ = SPL OM [i.e. "high shortage" instead of +4 Symmetric Relay's "low shortage"]

Specifically:

4 = 6M1OM33 (=> 4M+1 = RKC(M))

4 = 7M1OM23 (=> 4M+1 = RKC(M))

4 = 7M1OM32 (=> 4N(M=) = PKC(); 4N(M=) = RKC())

4N = 7M0OM33 (=> 5(M=) = TPKC(); 5(M=) = PKC())

(...)

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