[nullve]

Possibly of no interest to anyone else, but I'll post anyway:

"NF Gazzilli" is a name I've been using for each of the following rebids,

1♣-1♦; 1N = "10-12"¹, 3-S2-H6+C / "16-18"¹, 3-S2-H5+C, unbal. / 17-19 bal., 2-3 H
1♣-1♥; 1N = "10-12", 2-S6+C / "16-18", 2-S5+C, unbal. / 17-19 bal., 2-3 S
1♦-1♥; 1N = "10-12", either 2-S3-H6+D or 2-S5D5C / "16-18", 2-S3-H5+D, unbal.
1♦-1♠; 1N = "10-12", either 2-H6+D or 2-H5D5C / "16-18", 2-H5+D, unbal.,

in my vaguely 2/1-like system where (roughly)

1♣(1st/2nd NV) = "nat. or 14+ bal."
1♣(V, 3rd/4th NV) = "nat. or 11-13/17+ bal."
1♦ = "nat. unbal., F1",

and

1♣-1♦ = 0+, 4+ H, may have longer S unless GF
1♣-1♥ = 0+, 4+ S, denies 4+ H unless GF
1♦-1♥ = 0+, 4+ S, may have longer H unless GF²
1♦-1♠ = 0+, 4+ H, denies 4+ S unless GF²,

but more generally it could be any NF 1N rebid (in any system) that behaves like Gazzilli in some interesting way.

But although the listed 1N rebids are all similarly defined,

* over 1♣-1R the 1N rebid began as a 17-19 NT. (as in "Swedish" T-Walsh). Then was allowed also on wildly offshape hands (effectively raising the lower limit of other strong rebids by 3 hcp, making it easier to cope with responses on "air"). And it finally had to double as lebensohl (narrowing the range of Opener's 2♣ rebid);
* over 1♦-1M the 1N rebid began as "10-12", nat. (effectively narrowing the range of Opener's 2♣ and 2♦ rebids). Then it had to double as "true" Gazzilli for a while before it reached its current form (after I threw out e.g. 10-12, 1M5D4C and "16-18" hands with 3+ support), when it sometimes makes sense for Responder to pass 1N again.

Also, beyond the description of Opener's 1N rebid, the two types of structure have been so different that lumping them together under "NF Gazzilli" has seemed a bit pointless.

Until a couple of days ago, when it occured to me that if I change my system to

1♣(1st/2nd NV) = "nat. or 14-19/23+ bal., F1"
1♣(V, 3rd/4th NV) = "nat. or 11-13/17-19/23+ bal., F1"
1♦ = "nat. unbal. or 20-22 bal., F1"

and

1♣-1♦; 1N = "10-12", 3-S2-H6+C / "16-18", 3-S2-H5+C, unbal. / 17-19 bal., 2-3 H
1♣-1♥; 1N = "10-12", 2-S6+C / "16-18", 2-S5+C, unbal. / 17-19 bal., 2-3 S
1♦-1♥; 1N = "10-12", either 2-S3-H6+D or 2-S5D5C / "16-18", 2-S3-H5+D, unbal. / 20-22 bal., 2-3 S
1♦-1♠; 1N = "10-12", either 2-H6+D or 2-H5D5C / "16-18", 2-H5+D, unbal. / 20-22 bal., 2-3 H,

then it might suddenly make sense to play very similar structures both after 1♣-1R; 1N and 1♦-1M; 1N.

For example (brief outline):

(m = the opened minor; M = Responder's shown major)

1♣-[1M-1](=4+ M); 1N-?: / 1♦-1OM(=4+ M); 1N-?:

P = < positive values* and no good reason not to pay 1N opposite a bal. hand
2m = < positive values* and a good reason (such as having 5 M) not to play 1N opposite a bal. hand
...P = (usually) "10-12", 6+ m
...2M = bal.
...other = nat., usually "16-18"
2Om = positive values*, relay [doubles as a transfer to H if m=♣ and M=♥]
...2♦ = "10-12", "6+ D"
......2♥(M=♠) = 7-9, 4+S5+H
......2M = 7-9, "6 M"
......2M+1 = GF relay (=> 2N = 4+ S)
...2♥(m=♣) = "10-12", "6+ C"
......P(M=♥) = 7-9, "6 H"
......2♠(M=♥) = 7-9, 5+S4+H
......2♠(M=♠) = 7-9, "6 S"
......2OM+1 = GF relay (=> 2N = 4+ H)
...2♥(m=♦) = "10-12", "5D5C"
...2♠ = If possible: "16-18", 4+OM5+m. Else: same as 2♥, but no H tolerance
...2N = bal.
...3♣+ = "16-18" unbal., e.g. nat.
2♥(m=♣,M=♠) = 7-9, "6 S" [a pure transfer to S]
2♥(m=♦,M=♠) = 10-12, 4+S5+H [like inv Flannery by Responder]
2M = 10-12, "6 M" [like an IJS]
2♠(m=♣,M=♥) = 10-12, 5+S4+H [like inv Reverse Flanery by Responder]

* here 'positive values' means 'GF' if m=♣ and 'GF opposite "16-18"' if m=♦

In more detail:

1♣-1♦; 1N-?:

P = 0-6, 4-S4H
2♣ = 0-6, either 5+ H or 5+S4H / 7-12, no game interest opposite "10-12", catchall
...P = "10-12", 3-S2-H6+C
...2♦ = "16-18", 2-H4+D5+C.
...2♥ = 17-19 bal.
......P = 0-6, 5+ H
......2♠ = 0-6, 5+S4+H
......(...)
...2♠ = "16-18", 3S1-H6+C [in case Responder has 5+ S or 4S1-C]
...2N = ?
...3♣ = "16-18", 2-S3-H3-D7+C
2♦ = 7-9, either "6 H" or 5+S4+H / 13+
...2♥ = "10-12", 3-S2-H6+C, to play opposite 7-9, "6 H"
......P = 7-9, "6 H"
......2♠ = 7-9, 5+S4+H
......2N = GF relay
......(...)
...2♠ = "10-12", 3-S1-H7+C? [doesn't want to play 2♥ opposite 7-9, "6 H"]
...2N = 17-19 bal.
...3♣+ = "16-18", 3-S2-H5+C, unbal.
2♥ = 10-12, "6 H"
2♠ = 10-12, 5+S4+H
(...)


1♣-1♥; 1N-?:

P = 0-6, 4S3-H
2♣ = 0-6, 5+ S / 7-12, no game interest opposite "10-12", catchall
...P = "10-12", 2-S6+C
...2♦ = "16-18", 2-S4+D5+C
...2♥ = "16-18", 2-S4+H5+C
...2♠ = 17-19 bal.
......P = 0-6, 5+ S
......(...)
...2N = "16-18", 1336
...3♣ = "16-18", 2-S3-H3-D7+C
2♦ = 13+, relay
...2♥ = "10-12", 2-S6+C
......2♠ = GF relay (=> 2N = 4+ H)
......(...)
...2♠ = "16-18", 2-S4+H5+C
...2N = 17-19 bal.
...3♣+ = "16-18", 2-S3-H5+C, unbal.
2♥ = 7-9, "6 H"
2♠ = 10-12, "6 S"
(...)


1♦-1♥; 1N-?:

P = 0-3, 4S4-H
2♣ = GF opposite "16-18", relay
...2♦ = "10-12", 3-S2-H6+D
......(...)
......2♥ = 7-9, 5+ H
......2♠ = 7-9, "6 S"
......2N = GF relay
......(...)
...2♥ = "10-12", 1255 [pref. opposite 7-9, 5S5H]
...2♠ = "10-12", 2155 [pref. opposite 7-9, 5S5H]
...2N = 20-22 bal.
...3♣+ = "16-18", 2-S3-H5+D, unbal.
2♦ = 0-3, either 5+ S or 4S5+H / 4-6, any
...P = "10-12" / "16-18", 2263?
...2♥ = "16-18", 1-S3H [in case Responder has 5+ H or 4H2-D]
...2♠ = 20-22 bal.
......P = 0-3, 5+ S
......(...)
...2N = "16-18", 2-S2-H6+D4C?
...3♣ = "16-18", 2-S2-H5+D5+C
...3♦ = "16-18", 2-S3-H7+D?
2♥ = 10-12, 5+ H
2♠ = 10-12, "6 S"
(...)


1♦-1♠; 1N-?:

P = 0-3, 3-S4H
2♣ = GF opposite "16-18", relay
...2♦ = "10-12", 2-H6+D
......(...)
......2♥ = 7-9, "6 H"
......2♠ = GF relay (=> 2N = 4+ S)
......(...)
...2♥ = "10-12", 2-H5D5C
...2♠ = "16-18", either 4+S2-H5+D or 4144
...2N = 20-22 bal.
...3♣+ = "16-18", 3-S2-H5+D, unbal.
2♦ = 0-3, 3-S5+H / 4-6, any
...P = "16-18", either 2H6D(32) or 3163?
...2♥ = 20-22 bal., 2-3 H
......P = 0-3, 5+ H
......(...)
...2♠ = "16-18", 4+S2-H5+D
...2N = "16-18", 2-H5+D4C?
...3♣ = "16-18", 2-S2-H5+D5+C
...3♦ = "16-18", 3-S2-H7+D
2♥ = 10-12, "6 H"
(...)

(Responder's ranges should be taken with a tiny grain of salt.)

¹ This thread isn't about hand valuation, so readers can interpret "10-12" and "16-18" the way they wish. But for me, '"10-12"' and '"16-18"' are just more legible ways of writing 'rules of 19-21' and 'rules of 25-27', respectively.
² [3 Oct 2017:] Maybe it's best to respond 1♠ with 0-3, 4S5+H, because if the bidding goes 1♦-1♠; 1N-2♦, then Responder can pass comfortably whether Opener then bids 2♥("20-22 BAL") or 2♠("S reverse").

Originally added to the next post (starting 16 March 2017) but moved here 5 May 2020 because of space issues:

Spoiler

Two T-Walsh examples

Spoiler

Hands: http://www.bridgebas.../58240-deal-22/

Q 8                 T 9 7 2
A Q T 2             8 7 6 4 3
A K 7 3             T 5
Q 6 5               K 4 

1C-1D ("NATish unBAL OR 11-13/17-19/26+ BAL" \\ "0+, 4+ H")
1H-P 

Hands: http://www.bridgebas.../66568-deal-48/

A J 3               Q 8 5                 
K 9 8 2             Q T 7 4             
T 8 7               A K
9 6 2               A K 8 4 

P-1C (--- \\ "NATish unBAL OR 11-13/17-19/26+ BAL")
1D-1H ("0-10, 4+ H" \\  ---)
1N-4H
P 

1m-1N examples

Spoiler

Hands: http://www.bridgebas.../66348-deal-33/

A Q 4 3 2           K 9 7
A 4 3               Q 9 8
A Q 4               J T 3
K J                 T 9 8 3

1D-1N ("NATish unBAL OR 20-22 BAL" \\ "0-12, NAT")
2S-2N (20-22 BAL \\ puppet to 3N)
3C-3N (forced \\ contract)
P

Hands: http://www.bridgebas.../66435-deal-39/

A 8 5               4 3 
A K Q 8 3           J 5
A 7 6               K Q 9 5 3
8 4                 A J 7 5 

1C-1N ("NATish unBAL OR 11-13/17-19/26+ BAL" \\ "7-12, NAT")
2D-2H (O3 OR 17-19 BAL \\ relay)
2S-3C (17-19 BAL \\ BAL S/I, either 5+ D or 3244)
3D-4C (relay \\ 2254)
4S-4N (PKC(D) \\ even # of key cards)
6D-P (contract \\ ---)

Hands: http://www.bridgebas.../66450-deal-40/

8 5 3               A 6 2
A Q J 9 4           6
K 6                 Q J T 8 4
A K J               6 5 4 2

1C-(1S)-1N ("NATish unBAL OR 11-13/17-19/26+ BAL" \\ "7-12, NAT")
2D-2H (O3 OR 17-19 BAL \\ relay)
2S-2N (17-19 BAL \\ puppet to 3C)
3C-3N (relay \\ contract)
P

NF Gazzilli examples

Spoiler

Hands: http://www.bridgebas...c/57907-deal-4/

Q T                 A 7 6 2 
Q J 8               K 6 
A K Q 9             J T 8 3 
K T 9 3             J 7 6 

1C-1H ("NATish unBAL OR 11-13/17-19/26+ BAL" \\ "0+, 4+ S")
1N-2C (O1, 2-S6+C OR O2, 22(54) OR O3, 2- S, unBAL OR 17-19 BAL, 2-3 S  \\ to play opposite O1)
2S-3N ("17-19 BAL, 2-3 S" \\ contract)
P

Hands: http://www.bridgebas...c/57934-deal-5/

6 5                 A Q T 3 2
A K T 6             Q 8 3
K Q 9 6 5           J 
A K                 9 8 6 4

Auction if Opener treats the hand as balanced:

1D-1H ("NATish unBAL OR 20-22 BAL" \\ "0+, (3)4+ S")
1N-2C (O1, 2-S3-H6+D OR O1-O2, 2-S5D5C OR O3 OR 20-22 BAL \\ "positive relay")
2H-2N (20-22 BAL, either 2-3 S or 4333 \\ marionette to 3C)
3C-3S (2-3 S \\ 5S3-H1-D)
3N-P

Hands: http://www.bridgebas...c/57972-deal-7/

A Q T               J 9 8 5 2 
K 7 6 5 3           -
A Q 4               J 7 6 
Q J                 A T 9 6 2 

1C-1H ("NATish unBAL OR 11-13/17-19/26+ BAL" \\ "0+, 4+ S")
1N-3C (O1, 2-S6+C OR O2, 22(54) OR O3, 2- S, unBAL OR 17-19 BAL, 2-3 S  \\ P/C opposite O2, GF opposite O3 and 17-19 BAL, 1- OM)
3H-3N (GF relay \\ 5 S)
4S-P (contract \\ ---)

Hands: http://www.bridgebas.../58043-deal-11/

A K J               6 3 2 
K 5 3               Q 9 8 4
8 2                 A J T 9 5 
A K J 6 2           5

1C-1D ("NATish unBAL OR 11-13/17-19/26+ BAL" \\ "0+, 4+ H")
1N-2C (O1, 3-S2-H6+C OR O2, 22(54) OR O3, 3-S2-H, unBAL OR 17-19 BAL, 2-3 H  \\ to play opposite O1)
2H-3H ("17-19 BAL, 2-3 H" \\ "GF, 3-S4H1-C")
3N-P (suggestion \\ ---)

Bidding:

Spoiler

1♣-1♦
1N-2♣
2♥-3♥
3N-P

or, if one thinks that Opener's hand needs to be upgraded to 20,

1♦-1♠
1N-2♣
2♥-3♥
3N-P

Hands: http://www.bridgebas.../58062-deal-12/

A K Q 8             T 9 4 3
K Q                 J T 9 6 5
K 9 7 4             A Q 3
K 8 5               9  

1C-1D ("NATish unBAL OR 11-13/17-19/26+ BAL" \\ "0+, 4+ H")
1N-2C (O1, 3-S2-H6+C OR O2, 22(54) OR O3, 3-S2-H, unBAL OR 17-19 BAL, 2-3 H  \\ to play opposite O1)
2H-2N ("17-19 BAL, 2-3 H" \\ puppet to 3C)
3C-3D (forced \\ "GF, 4+S5+H")
4S-P (contract \\ ---)

Hands: http://www.bridgebas.../58106-deal-14/

Q 9 7 3             J 8
K T 8               Q J 9 7 6 4 3
A K 4               J 9
K Q 8               A T

1C-1D ("NATish unBAL OR 11-13/17-19/26+ BAL" \\ "0+, 4+ H")
1N-2H (O1, 3-S2-H6+C OR O2, 22(54) OR O3, 3-S2-H, unBAL OR 17-19 BAL, 2-3 H  \\ "7-12, 6+ H")
4H-P (contract \\ ---)

Bidding [outdated]:

Spoiler

1♣-1♦
1N-2♦
2♠-4♦
4♥-P

I might have downgraded South's hand to 1N("14-16").

Hands: http://www.bridgebas.../58164-deal-17/

A K T 4             Q 5
Q 8 3               K J 9 5
A Q J 5 4           9 7
5                   J 7 6 4 3

1D-1S ("NATish unBAL OR 20-22 BAL" \\ "0+, (3)4+ H")
1N-2D (O1, 2-H6+D OR O1-O2, 2-H5D5C OR O3 OR 20-22 BAL \\ "negative, unwilling to play 1N opposite 20-22 BAL")
2S-3D (O3, 4+S3-H5+D \\ contract)
P

Bidding:

Spoiler

1♦-1♠
2♣-2♥
P

Hands: http://www.bridgebas.../58198-deal-20/

A K 4               J T 3 2
Q 5                 A J 7 3 2
A 8 5               3
A J T 8 3           K 6 5 

1C-1D ("NATish unBAL OR 11-13/17-19/26+ BAL" \\ "0+, 4+ H")
1N-2C (O1, 3-S2-H6+C OR O2, 22(54) OR O3, 3-S2-H, unBAL OR 17-19 BAL, 2-3 H  \\ to play opposite O1)
2H-2N ("17-19 BAL, 2-3 H" \\ puppet to 3C)
3C-3D (forced \\ "GF, 4+S5+H")
3S-? (anti-SPL D \\ ---)

Hands: http://www.bridgebas.../58220-deal-21/

J 8                 T 5 4 3 2
6                   K 8 3 2
K Q J 7             8 5 3
A K Q J T 6         2 

1C-1D ("NATish unBAL OR 11-13/17-19/26+ BAL" \\ "0+, 4+ H")
1N-2C (O1, 3-S2-H6+C OR O2, 22(54) OR O3, 3-S2-H, unBAL OR 17-19 BAL, 2-3 H  \\ to play opposite O1)
2N-3C (O3, 2-S2-H4+D6+C \\ contract)
P

Bidding [outdated]:

Spoiler

Undisturbed:

1♣-1♦
1N-2♣
2♦-2♠
P

http://www.bridgebas.../58241-deal-23/

A K 5               J 9 7
A Q J 3             6 4 2
K 9 6               T 7 3
A 3 2               J 9 8 7

1D-1H ("NATish unBAL OR 20-22 BAL" \\ "0+, (3)4+ S")
1N-P (O1, 2-S3-H6+D OR O1-O2, 2-S5D5C OR O3 OR 20-22 BAL \\ 4-S4-H, 1N looks ok opposite 20-22 BAL)

Bidding:

Spoiler

1♦-1♥
1N-P

Hands: http://www.bridgebas.../58259-deal-24/

6                   T 9 8 7 4
K Q 6               -
K Q 7 3             A J 6 5 2 
A Q J 7 5           T 8 4 

1C-1H ("NATish unBAL OR 11-13/17-19/26+ BAL" \\ "0+, 4+ S")
1N-2C (O1, 2-S6+C OR O2, 22(54) OR O3, 2- S, unBAL OR 17-19 BAL, 2-3 S  \\ to play opposite O1)
2N-? (O3, 3-H4+D5+C \\ ---)

Bidding:

Spoiler

Undisturbed:

1♣-1♥
1N-2♣
2♦-3♥(Splinter)
3N-5♦
P

Hands: http://www.bridgebas.../58300-deal-25/

A K J 7 6           Q 9
9 8                 Q T 4 2
A K Q               J 7
K 7 4               Q T 9 8 6

1D-1S ("NATish unBAL OR 20-22 BAL" \\ "0+, (3)4+ H")
1N-2D (O1, 2-H6+D OR O1-O2, 2-H5D5C OR O3 OR 20-22 BAL \\ "negative, unwilling to play 1N opposite 20-22 BAL")
2H-3N ("20-22 BAL, 2-3 H [or 3433?]" \\ contract [opposite 2-3 H, at least])
P

Bidding:

Spoiler

1♦-1♠
1N-2♦
2♥-3N
P

Hands: http://www.bridgebas.../66263-deal-28/

A T 6               Q 9 8 
K J                 9 7 6 5
A T 7 3 2           K J 8 6 5 
K Q 7               J

1C-1D ("NATish unBAL OR 11-13/17-19/26+ BAL" \\ "0+, 4+ H")
1N-2C (O1, 3-S2-H6+C OR O2, 22(54) OR O3, 3-S2-H, unBAL OR 17-19 BAL, 2-3 H  \\ to play opposite O1)
2H-3H ("17-19 BAL, 2-3 H" \\ "GF, 3-S4H1-C")
3N-P (suggestion \\ ---)

Bidding:

Spoiler

1♣-1♦
1N-P

The alternative to P was 2♣, P/C, leading to the good but marginal game after 1♣-1♦; 1N-2♣; 2♥.

Hands: http://www.bridgebas.../66385-deal-35/

A Q 2               J T 9 5 3 
A 9 8 6 4           2
Q 5                 K 7 6 2
A 7 3               K J 6 

1C-1H ("NATish unBAL OR 11-13/17-19/26+ BAL" \\ "0+, 4+ S")
1N-3C (O1, 2-S6+C OR O2, 22(54) OR O3, 2- S, unBAL OR 17-19 BAL, 2-3 S  \\ P/C opposite O2, GF opposite O3 and 17-19 BAL, 1- OM)
3H-3N (GF relay \\ 5 S)
4S-P (contract \\ ---)

Hands: http://www.bridgebas.../66398-deal-36/

A Q J 9             T 
A 7 4               Q J T 9 5
A J 8 5             T 9 7
J 7                 A Q 5 2

1C-1D ("NATish unBAL OR 11-13/17-19/26+ BAL" \\ "0+, 4+ H")
1N-3C (O1, 3-S2-H6+C OR O2, 22(54) OR O3, 3-S2-H, unBAL OR 17-19 BAL, 2-3 H  \\ P/C opposite O2, GF opposite O3 and 17-19 BAL, 1- S)
3H-3N (GF relay \\ 5 H)
4H-P (contract \\ ---)

Hands: http://www.bridgebas.../66417-deal-37/

A K J               Q 8 7 6 3 
8 5                 K Q 6 2
A Q J 5             T 7 2
Q 9 5 4             7

1C-1D ("NATish unBAL OR 11-13/17-19/26+ BAL" \\ "0+, 4+ H")
1N-2C (O1, 3-S2-H6+C OR O2, 22(54) OR O3, 3-S2-H, unBAL OR 17-19 BAL, 2-3 H  \\ to play opposite O1)
2H-3D ("17-19 BAL, 2-3 H" \\ "GF, 5+S4+H")
4S-P (contract \\ ?)

Hands: http://www.bridgebas.../66599-deal-50/

A K J               T 9
A T 7 5             K Q 8 4
A J 4               6 5 3
Q J 5               9 8 7 3

1D-1S ("NATish unBAL OR 20-22 BAL" \\ "0+, (3)4+ H")
1N-2D (O1, 2-H6+D OR O1-O2, 2-H5D5C OR O3 OR 20-22 BAL \\ "negative, unwilling to play 1N opposite 20-22 BAL")
2H-3N ("20-22 BAL", either 2-3 H or 3433 \\ to play)
P

[I have to think more about the design here.]

[nullve]

Here's a structure over the "positive relay" (2♣ over 1♦-1M; 1N and 2♦ over 1♣-[1M-1]) that is

* objectively worse when Responder has 7-9, 5S5H;
* objectively better when Opener is bal.;
* hopefully still good enough (well, maybe not for the SR diehards on this forum) when Opener has "16-18" unBAL:

Spoiler

1♣-[1M-1]; 1N-2♦; ?: / 1♦-1OM; 1N-2♣; ?:

(m = the opened minor; M = Responder's shown major)

2♦ = as in the OP
2♥(m=♣) = as in the OP
2♥(m=♦) = 2-M5D5C [now Responder will have a problem with 7-9, 5S5H]
2♠: most BAL hands
2N+: used for the remaining BAL hands and "16-18" unBAL.

For example (by reusing parts of a relay structure I already use elsewhere):

2♠ = bal., either 3-M3-OM or 4OM333
...2N = relay
......3♣ = 5+ C or 2344
.........3♦ = relay
............3♥ = 5C(332)
............3♠ = 6C(322)
............3N = 2344
............4♣ = 2245
......3♦ = 3M(433)
.........3♥ = relay
............3♠ = 3334
............3N = 3343
............4♣ = 4OM333
......3♥ = 5D(332)
......3♠ = 6D(322)
......3N = 3244
......4♣ = 2254
...(...)
...4♦(m=♣,M=♥) = Texas
...(...)
2N = "16-18, either 2-M4+OM5+m or 1-suited w/ 6+ m"
...3♣ = relay
......3♦ = 1-suited
......3♥+ = 2-M4+OM5+C
...(...)
3♣ = "16-18, 2-M5+m4+Om" (with 2-M5D5C replacing 3M5D4+C in my usual relay structure if m=♦)
3♦+ = 20-22 bal., 3-M4+OM, not 4OM333
In detail:
3♦ = 4M4D(32) or 4M5D22
...3♥ = relay
......3♠ = 4OM4D23
......3N = 4OM4D32
......4♣ = 4OM5D22
3♥ = 5OM(332)
3♠ = 4OM4C23
3N = 4OM4C32
4♣ = 4OM5C22

(With "16-18", 1444/4144 Opener would have opened 1♦/1♣ and rebid 1♠ over 1♣-1♦/1♦-1♥ to show "spades"/"hearts", respectively.)

(spoiler added 24 February 2019)

Added, starting 23 Feb 2019:

Spoiler

Maybe I should attempt a full write-up of my system somewhere, for example here.

Work in progress:

Openings, particularly in 1st seat NV:

https://www.bridgeba...post__p__939330

https://www.bridgeba...post__p__939445

For more detailed descriptions of the preemptive openings:

https://www.bridgeba...post__p__854602

Opener's ranges:

O1: meets the rule of 19, but not the rule of 22 (so e.g. 10-12 hcp if 4153 shape)
O2: meets the rule of 22, but not the rule of 25 (so e.g. 13-15 hcp if 4153 shape)
O3: meets the rule of 25, but not the rule of 28 (so e.g. 16-18 hcp if 4153 shape)
O4: meets the rule of 28, but not the rule of 31 (so e.g. 19-21 hcp if 4153 shape)
O5: meets the rule of 31 and by definition FG (so e.g. 22+ hcp if 4153 shape)

(Maybe some day these ranges can be defined in terms of something better than "rules of N", but...)

The 1♣ opening

1♣-?:
1♦ = < GF, 4+ H OR GF, primarily H, but not 3433
1♥ = < GF, 4+S3-H OR GF, primarily S, but neither 4333 nor 4S4H
1♠ = "0-3, 3-S3-H" OR "4-6, 3-S3-H5-C" OR "GF, either unBAL w/ primarily D or BAL and either no major or 4M333"
1N = "7-12, 3-S3-H5-C"
2♣ = "GF, unBAL with primarily C"
2♦ = "4-6, 6+M3-OM" (i.e. "Multi")
2♥ = "0-3, 6+M3-OM" (i.e. "Major Flash")
2♠ = "10-12, 3-S3-H6+C"
2N = "4-6, 3-S3-H6+C" (i.e. a "bad" preemptive "raise")
3♣ = "7-9, 3-S3-H6+C" (i.e. a "good" preemptive raise)
(...)

1♣-1♦; ?:
1♥ = 11-13 BAL, either 2-3 H or 3433 / O1-O3, 3 H, unBAL, but not O3, 4S3H5+C / O2-O3, 4+ H, unBAL / O4, 4S3H5+C?
[28 Aug 2020:]1♥ = 11-13 BAL, either 2-3 H or 3433 / O1-O3, 3 H, unBAL, but not O3, 4S3H5+C / O3, 4+ H, unBAL / O4, 4S3H5+C?
1♠ = O1-O2, either 31(54), 4054 or 4153 / O1-O4, either 4+S2-H5+C or 4144 / O3, 4S3H5+C
1N = O1, 3-S2-H6+C / O3, 3-S2-H4-D, unBAL / "17-19 BAL", 2-3 H
2♣ = O2, 3-S2-H6+C
2♦ = O4
[28 Aug 2020:]2♦ = O2, 4+ H / O4
2♥ = O1, 4+ H, not 3433
2♠ = O2-O3, 5D6+C
2N+ = O5+, Unbal(♣,♥). See Unbal(x,s) below.

1♣-1♦; 1♥-?:
P = < INV opposite 17-19 BAL
1♠ = INV+ opposite 17-19 BAL, 4+ S, NF
1N = INV+ opposite 17-19 BAL, 3-S4H
(...)

1♣-1♦; 1♥-1♠; ?:
1N = O1, 3-S3-H
2♣ = O2, 3-S3H6+C
2♦ = O2, 4+ S / O3, 3+ H
2♥ = 11-13, usually 3433
2♠ = O1, 4 S
(...)

1♣-1♦; 1♥-1♠; 1N-?:
P = < GF, 4S4H
2♣ = 5S5H or GF
2♦ = 5+S4H (= "Delayed Reverse Flannery")
2♥ = 4S5+H

1♣-1♦; 1♥-1♠; 2♣-?:
P = < GF, 4S4H
2♦ = 5+S4+H ("Delayed Reverse Flannery")
2♥ = 5+ H, to play
2N = GF

[not finished]

1♣-1♦; 1♥-1N; ?:
P = O1, 3 H or 11-13 BAL, 2-3 H
2♣ = O2, 3H5+C
2♦ = O3, 3+ H
2♥ = 11-13, usually 3433
[not finished]

1♣-1♦; 1♠-?:
See 'The pre-prepared 1♠ rebid' below:

1♣-1♥; ?:
1♠ = 11-13 BAL, either 2-3 S or 4333 / O1-O3, 3 S, unBAL / O2-O3, 4+ S, unBAL
[28 Aug 2020:]1♠ = 11-13 BAL, either 2-3 S or 4333 / O1-O3, 3 S, unBAL / O3, 4+ S, unBAL
1N = O1, 2-S6+C / O3, 2-S4-H4-D, unBAL / "17-19 BAL", 2-3 S
2♣ = O2, 2-S6+C
2♦ = O4
2♥ = O2-O3, 5R6+C
[28 Aug 2020:]2♥ = O2, 4+ S / O2-O3, 5R6+C
2♠ = O1, 4+ S, not 4333
2N+ = O5, Unbal(♣,♠). See Unbal(x,s) below.

1♣-1♥; 1♠-?:
P = < INV opposite 17-19 BAL
1N = INV+ opposite 17-19 BAL, 4 S
(...)

1♣-1♥; 1♠-1N; ?:
P = O1, 3 S or 11-13 BAL, 2-3 S
2♣ = O2, 3S5+C
2♦ = O2, 3154
2♥ = O3, 3+ S
2♠ = 11-13, usually 4333
[not finished]

In other words,

1♣-[1M-1]; ?:
1M = 11-13 BAL, either 2-3 M or 4M333 / O1-O3, 3 M, unBAL, but not O3, 4S3H5+C / O2-O3, 4+ M, unBAL / (M=♥ only:) O4, 4S3H5+C?
[28 Aug 2020:]1M = 11-13 BAL, either 2-3 M or 4M333 / O1-O3, 3 M, unBAL, but not O3, 4S3H5+C / O2-O3, 4+ M, unBAL / (M=♥ only:) O4, 4S3H5+C?
1♠(M=♥) = O1-O2, either 31(54), 4054 or 4153 / O1-O4, either 4+S2-H5+C or 4144 / O3, 4S3H5+C
1N = O1, 3-S2-H6+C / O3, 3-S2-H4-D, unBAL / "17-19 bal.", 2-3 H
2♣ = O2, 2-M6+C and, if M=♥; 3- S
2♦ = O4
[28 Aug 2020:]2♦ = O4 or, if M=♥, O2, 4+ H
2M = O1, 4+ M, not 4M333
2OM = O2-O3, either 5D6+C or, if M=♠, 5H6+C
[28 Aug 2020:]2OM = O2-O3, 5R(R<M)6+C or, if M=♠, O2, 4+ S
2N+ = O5+, Unbal(♣,M). See Unbal(x,s) below.

1♣-[1M-1]; 1M-?:
P = < INV opposite 17-19 BAL
1♠(M=♥) = INV+ opposite 17-19 BAL, 4+ S, NF
1N = INV+ opposite 17-19 BAL, 4M(432), 4M3-OM
(...)

1♣-[1M-1]; 1M-1N; ?:
P = O1, 3 M or 11-13 BAL, 2-3 M
2♣ = O2, 3M5+C
2♦(M=♠) = O2, 3154
2M-1 = O3, 4+ M
2M = 11-13, usually 4M333
[not finished]

1♣-[1M-1]; 1N-?:
See 'Non-forcing Gazzilli' below.

1♣-[1M-1]; 2♣-?:
2♦(M=♥) = WK, 5+ S
2M = "7-9, 6 M"
2OM = GF relay
...2♠(M=♠) = 4+ H
...2N+ = NAT
(...)

1♣-[1M-1]; 2♦-?:
(...)
2♠ = GF relay
...2N+ = O4, Unbal(♣,M) (see Unbal(x,s) below), except that
...2N(M=♥)
......3♣ = relay
.........3♥+ = O2, U(♣,♥,♦)
...3♦ = O2, E(♣,♥)
(...)

1♣-1♠; ?:
1N = O1 or O3
2♣ = O2
2♦ = O4
(...)
2N+ = O5, Unbal(♣,♦). See Unbal(x,s) below.

1♣-1♠; 1N-?:
P = 0-6
2♣ = GF, 5+ D, unBAL (=> 2♥ = relay)
2♦ = unBAL INV OR 16-18 BAL (=> 2♥ = relay (=> 2♠ = 16-18 BAL (=> 2N = GF relay)))
2♥ = 13-15 BAL (=> 2N = GF relay)
2♠ = 19+ BAL (=> 2N = GF relay)
(...)

1♣-1♠; 2♣-?:
(...)
2♠ = GF relay
...2N+ = Unbal(♣,♦). See Unbal(x,s) below.
(...)

1♣-1♠; 2♦-?:
2♥ = very weak, 3 H, NF
2♠ = GF relay
...2N+ = Unbal(♣,♦). See Unbal(x,s) below.
(...)

1♣-1N; ?:
P = O1
2♣ = O2, not 4S1-H4+D
2♦ = O3 or 17-19 BAL
2♥ = O4
2♠ = O2, 4S1-H4+D
2N+ = O5, Unbal(♣,♦). See Unbal(x,s) below.

1♣-1N; 2♣-?:
P = WK, 3+ C
2♦ = WK, either 6+D2-C or 7+D3-C(?)
2♥ = WK, 3352
2♠ = GF relay
...2N+ = Unbal(♣,♦). See Unbal(x,s) below.
(...)

1♣-1N; 2♦-?:
2♥ = relay (GF)
...2♠ = 17-19 BAL
......2N = catchall
......3♣+ = SI, BAL relay structure
...2N+ = Unbal(♣,♦). See Unbal(x,s) below.
(...)

1♣-1N; 2♥-?:
2♠ = relay (GF)
...2N+ = Unbal(♣,♦). See Unbal(x,s) below.
(...)


The 1♦ opening

1♦-?:
1♥ = 0-3, either 33(43) or 3244* OR < GF, 4+ S OR GF, unBAL w/ either 4(441), 4+S5+D or primarily 5+ S OR GF, BAL w/ either 4-5 S or 3S3-H**
1♠ = 0-3, 3244* OR < GF, 3-S4+H OR GF, unBAL w/ either 1444, 3-S4+H5+D or primarily 5+ H OR GF, BAL w/ either 5 H, 3-S4H or 2S3H**
1N = "< GF, 3-S3-H but neither 33(43) nor (32)44 if 0-3"*
2♣ = INV, 3-S3-H3-D6+C OR GF, unBAL** w/ either 3-S3-H5+D4+C, 3-S3-H6+D or primarily 5+ C
2♦ = "4-6, 6+M3-OM" (i.e. "Multi")
2♥ = "0-3, 6+M3-OM" (i.e. "Major Flash")
2♠ = "10-12, either 5+m4+Om (not (40)(54)) or 1-suited w/ 6+ D
2N = "4-6, either 5+ D or 3-S3-H4D3+C"*** (i.e. a "bad" preemptive "raise")
3♣ = "7-9, 3-S3-H4D3+C"** (i.e. a "good" preemptive "raise")
3♦ = "7-9, 3-S3-H5+D (not 5D(332))"*** (i.e. a "good" preemptive raise)
(...)

* When Opener has 20-22 BAL and Responder 0-3 and either 33(43) or (32)44, the structure allows the partnership to usually get out in 1N after 1♦-1M, but not in 2N after 1♦-1N.
** I believe (8 December 2019) Responder with 13+ BAL, 3-S3-H should respond 1M instead of 2♣, for two reasons: 1) relaying Opener's hand can be very space-consuming after 1♦-2♣; 2♦ when Opener can also have 20-22 BAL, but now it will be easier for Responder to show his hand; 2) I want to play "system on" in competition, but 2♣ over 1♦-(1M) is less useful if it can also contain a balanced hand.
*** This is essentially what I suggested here


1♦-1♥; ?:
1♠ = O1-O2, either 0445, 13(54) or 1435 / O1-O4, either 2-S4+H5+D or 1444 / O4, 3S4H5+D
1N = O1, 2-S3-H6+D / O1-O2, 2-S5D5C / O3 / 20-22 BAL, 2-4(!) S
2♣ = O1-O2, 3 S / 20-22, 5S(332) / O4
[1 June 2021:]2♣ = O1-O2, 3 S / O4
2♦ = O2, 2-S3-H6+D
2♥ = O2, 4+ S
[1 June 2021:]2♥ = O2, 4+ S / 20-22, 5S(332)
2♠ = O1, 4+ S
2N+ = O5, Unbal(♦,♠). See Unbal(x,s) below.

1♦-1♥; 1♠-?:
See 'The pre-prepared 1♠ rebid' below.

1♦-1♠; ?:
1N = O1, 2-H6+D / O1-O2, 2-H5D5C / O3 / 20-22 BAL, 2-4(!) H
2♣ = O1-O2, 3 H / 20-22, 5H(332) / O4
[1 June 2021:]2♣ = O1-O2, 3 H / O4
2♦ = O2, 2-H6+D
2♥ = O1, 4+ H
2♠ = O2, 4+ H
[1 June 2021:]2♠ = O2, 4+ H / 20-22, 5H(332)
2N+ = O5, Unbal(♦,♥). See Unbal(x,s) below.

In other words,

1♦-1OM; ?:
1♠(M=♠) = O1-O2, either 0445, 13(54) or 1435 / O1-O4, either 2-S4+H5+D or 1444 / O4, 3S4H5+D
1N = O1, 3-M6+D and, if M=♠, 3- H / O1-O2, 2-M5D5C / O3 / 20-22 BAL, 2-4(!) M
2♣ = O1-O2, 3 M / 20-22, 5M(332) / O4
2♦ = O2, 3-M6+D and, if M=♠, 3- H
2M = O1, 4+ M
2OM = O2, 4+ M
2N+ = O5, Unbal(♦,M). See Unbal(x,s) below.

1♦-1OM; 1N-?:
See 'Non-forcing Gazzilli' below.

1♦-1OM; 2♣-?:
2♦ = relay
...2M = O1
...2OM = O2
...2N+ = O4, Unbal(♦,M). See Unbal(x,s) below.
(...)

1♦-1OM; 2♦-?:
(...)
2♥(M=♠) = WK, 5+ H
2M = "7-9, 6 M"
2M+1 = GF relay
...2N(M=♥) = 4+ S
...3♣+ = NAT
(...)

1♦-[1OM-1]; 2OM-?:
(...)
2N = GF relay
...3♣ = 5+D4+M
......3♦ = relay
.........3♥+ = U(♦,M,♣)
......(...)
...3♦ = ?
...3♥ = 20-22, 5M(332), D(M). See D(x) below.
...(...)
(...)

1♦-1N; ?:
P = O1
2♣ = O2
2♦ = O3
2♥ = O4
2♠ = 20-22 BAL
2N+ = O5, Unbal(♦,♣). See Unbal(x,s) below.

1♦-1N; 2♣-?:
P = WK, either 2-D6+C or 3-D7+C
2♦ = WK, 3+D5-C
...P = either 5+ D or 4441
...(...)
2♥ = WK, 3325
2♠ = GF relay
...2N+ = Unbal(♦,♣). See Unbal(x,s) below.
(...)

1♦-1N; 2♦-?:
P = WK, 3(+) D
2♥ = WK, 3H2-D
2♠ = GF relay
...2N+ = Unbal(♦,♣). See Unbal(x,s) below.
2N = WK, 3226(?)
3♣ = WK, 2-H2-D7+C(?)
(...)

1♦-1N; 2♥-?:
2♠ = GF relay
...2N+ = Unbal(♦,♣). See Unbal(x,s) below.
2N = WK, 2D5+C(?)
3♣ = WK, 2-D6+C(?)
3♦ = WK, 3+ D

1♦-1N; 2♠-?:
2N = puppet to 3♣*
...3♣
.....P = WK, 5+ C
.....(...)
3♣+ = SI, BAL relay structure

* This would have created a problem if 1N had also been the response with 0-3 and either 33(43) or (32)44, since 2N could easily be the last playable contract.


The 1♥ opening

1♥-?:
P = 0-1 TP, 3+ H OR "0-4, 2- H"
1♠ = "5+, 4+S2-H, may have longer side suit unless GF values"
1N = 5-7 TP, either 3 H or 3433 / "5-12, 3-S2-H"
2♣ = 11-13 TP, either 3 H or 3433 / INV, distributional hand w/ 3-S2H / "GF, either unBAL w/ primarily C or BAL"
2♦ = 2-4 TP, either 3 H or 3433 / INV, distributional hand w/ 3-S1-H / "GF, unBAL w/ primarily D"
2♥ = 8-10 TP, either 3 H or 3433
2♠ = "Minisplinter in m"
2N = "INV Stenberg"
3♣ = "Minisplinter in H"
3♦ = "bad preemptive raise"
3♥ = "mixed raise"
(...)

1♥-1♠; ?:
(The basic ideas are described here
1N = O1, 3-S5H / O3
2♣ = O2, either 3-S5H4+m or 3 S
2♦ = O2, either 2-S6+H or 4+ S (=> 2♥ = P/C; 2N = GF relay)
2♥ = O1, 3-S6+H (=> 2N = GF relay)
2♠ = O1, 4+ S (=> 2N = GF relay)
2N+ = O4, Unbal(♥,♠). See Unbal(x,s) below.

1♥-1♠; 1N-?:
2♣ = "8+, relay"
2♦ = "5-7", 5S1-H3+D
2♥ = "5-7", 2 H
2♠ = "8-10, 6S2-H"
2N = "5-7", 5S1-H2-D5+C
3♣ = "5-7", 4S1-H2-D6+C
(...)

1♥-1♠; 1N-2♣; ?:
2♦ = O1, 2-S4+D (=> 2♠ = "8-12, 5S1-H2-D"; 2N = GF relay)
2♥ = O1, 2-S3-D4+C (=> 2♠ = "8-12, 5S1-H"; 2N = GF relay)
2♠ = O1, 3 S (=> 2N = GF relay)
2N+ = O3, Unbal(♥,♠). See Unbal(x,s) below.

1♥-1♠; 1N-2♦; ?:
P = O1, 2-S4+D / O3, either 1543 or 2542
2♥ = O1, 2S3-D / O3, neither 1543 nor 2542
2♠ = O1, 3 S
2N = O1, 1534
3♣ = O1, 1-S5C

1♥-1♠; 1N-2♦; 2♥-?:
2♠ = 5 S
2N = 4S1-H5+D3C
3♣ = 4S1-H3+D3+C
3♦ = 4S1-H6+D2-C

1♥-1♠; 1N-2♦; 2♥-2♠; ?:
P = 2 S (either O1 or O3)
2N = O3, 1534 (?) (=> 3♦ = PREF, expecting 1543 (=> 3♥ = 1624, bad hearts?))
3♣ = O3, 1-S5+C (?)
3♦ = O3, 1-S5+D (?)
3♥ = O3, 1-S6H4-D4-C (?)
3♠ = O3, 3 S

1♥-1♠; 2♣-?:

(...)
2♦ = P/C
(...)
2N = GF relay
(...)

[Idea, 24 February 2019:
1♥-1♠; 1N: now also with O1, 6+H4+D
1♥-1♠; 2♦ = O1, 2-S6+H / O2, 4+ S
1♥-1♠; 2♥ = O2, 2-S6+H

so that

1♥-1♠; 2♦-2N; 3♦+

can equal

1♥-1♠; 2♥-2N; 3♦+

while

1♥-1♠; 2♦-2N; 3♣ = 4+ S

and

1♥-1♠; 2♥-2N; 3♣ = 4+ D.]

1♥-1N; ?:
P = O1, 5 H
2♣ = O2, 5 H / O3
2♦ = O2, 6+ H
2♥ = O1, 6+ H
2♠ =
2N+ = O4, Unbal(♥,♣). See Unbal(x,s) below.

1♥-1N; 2♣-?:

1♥-1N; 2♣-2♦; ?:
2♥ = O2
2♠ =
2N+ = = O3, Unbal(♥,♣). See Unbal(x,s) below.


The 1♠ opening

1♠-?:
P = 0-1 TP, 3+ S OR "0-4, 2- S"
1N = 5-7 TP, either 3 S or 4333 / "5-6, 2- S" / "7-12, 2-S5-H"
2♣ = 11-13 TP, either 3 S or 4333 / INV, distributional hand w/ 2 S / "GF, either unBAL w/ primarily C or BAL"
2♦ = "7+, 2-S6+H" / INV, distributional hand w/ 1- S / GF, unBAL w/ primarily H
2♥ = 2-4 TP, either 3 S or 4333 / "GF, unBAL w/ primarily D"
2♠ = 8-10 TP, either 3 H or 3433
2N = "INV Stenberg"
3♣ = "Minisplnter in a minor"
3♦ = "Minisplinter in H"
3♥ = "bad preemptive raise"
3♠ = "mixed raise"
(...)

1♠-1N; ?:
(Also described here in some detail:)
P = O1, 5S3-H
2♣ = O1-O2, 4+ H / O3
2♦ = O2, 5S3-H4+m
2♥ = O2, 6+S3-H
2♠ = O1, 6+S3-H
2N+ = O4, Unbal(♠,♥). See Unbal(x,s) below.

1♠-1N; 2♣-?:
2♣ = "5-7", 1-S2-H4-D6+C?
2♦ = "8-12, relay, not 1-S3H if 8-10"
2♥ = "5-7", 3+ H, PREF opposite 5S4H" / "8-10, 1-S3H"
2♠ = 4-6 TP, either 3 S or 4333 / "5-7", 2 S, PREF opposite 5S4H
2N = "5-7", 1-S2-H5+D4+C ("5-7", 1-S2-H6+D4+C?)
3♣ = "5-7", 1-S2-H5+D5+C?
3♦ = "5-7", 2-S3-H7+D3-C?
(...)

1♠-1N; 2♣-2♦; ?:
2♥ = O1
2♠ = O2
2N+ = O3, Unbal(♠,♥). See Unbal(x,s) below.


The 1N opening

1N-?:
My most developed ideas can be found here, inside the spoiler

[8 March 2020: I have to update the balanced relay structure (and give it a name) at some point. One thing I want:

1N-2♦; 2♥-2♠; ?:

2N = 4+S3-H, not 4333 (as before)
3♣ = D only, 3244 or 2254
...3♦ = relay
......3♥ = 5D(332)
......3♠ = 3343
......3N = 3244
......4♣ = 3244
......(4♦ = (32)62*)
...(...)
3♦ = 4M333 (not (4333) in general)
...3♥ = relay
......3♠ = 3433
......3N = 4333
...(...)
3♥ = 5C(332)
3♠ = 3334
3N = 2344
4♣ = 2245
(4♦ = (32)26*)

* 1N is not mandatory with 13-15, 6m(322) and opening 1N with 13-15, 22(63) leads to problems after Crawling Stayman.]

[10 April 2020: More generally, I'd like the balanced relay structure to be

Bal(M):

2♠ = 4+ M, not 4M333
...2N = relay
......3♣ = 44(32)
.........3♦ = relay
............3♥ = 4423
............3♠ = 4432
.........(...)
......3♦ = A(M). See A(M') below.
...(...)
2N = 3-MM4+OM, not 4OM333
...3♣ = relay
......3♦+ = A(OM). See A(M') below.
...(...)
3♣ = 3343, 3244 or 5+ D
...3♦ = relay
...(...)
......3♥+ = B(♦). See B(m) below.
3♦ = 4M'333
...3♥ = relay
......3♠ = 3433
......3N = 4333
...(...)
3♥+ = B(♣). See B(m) below.

A(M'):

3♦ = 4M'4C(32)
...3♥ = relay
......3♠+ = C(M',♣). See C(M',m) below.
...(...)
3♥ = 5M'(332). [15 April 2021: See D(x) below.]
3♠+ = C(M',♦). See C(M',m) below.

B(m):

3♥ = 5m(332). [15 April: See D(x) below.]
3♠ = 4D4C, 3 cards
3N = 4m333
4♣ = 5m4Om22 (if possible)

C(M',m):

3♠ = 4M'4m23
3N = 4M'4m32
4♣ = 4M'5m22 (if possible)

[15 April 2021:

D(x):

3♥ = 5x(332)
...3♠ = puppet to 3N
......3N = forced
.........P =
......4♣(x!=♠) = "5+ S"
.........4♦ = 2 S
............4♥ = PKC(♠)
............4♠/N = to play
.........4♥+ = 3 S, PKC(♠) responses
......4♣(x=♠) = PKC(♠)
......(...)
...3N(x!=♣) = "5+ C"
......4♣ = 2 C
.........4♦ = PKC(♣)
.........4N = to play
......4♦+ = 3 C, PKC(♣) responses
...3N(x=♣) = PKC(♣)
...4♣(x!=♦) = "5+ D"
......4♦ = 2 D
.........4♥ = PKC(♦)
.........4N = to play
......4♥+ = 3 D, PKC(♦) responses
...4♣(x=♦) = PKC(♦)
...4♦(x!=♥) = "5+ H"
......4♥ = 2 H
.........P = allowed
.........4♠ = PKC(♥)
.........4N = to play
......4♠+ = 3 H, PKC(♥) responses
...4♦(x=♥) = PKC(♥)]

Then e.g.

1♣-[1M-1]; 1N-2♦; 2♥-2♠; 2N+ = Bal(M)|2N+,

1♦-1OM; 1N-2♣; 2♥-2♠; 2N+ = Bal(M)|2N+,

1N-2♦; 2♥-2♠; 2N+ = Bal(♥)|2N+

and

1N-2♦; 2♠ = Bal(♥)|2♠.]

[25 March 2020:

Idea: Not opening 1N with 22(54) or 22(63) shape in 1st or 2nd seat. The new trick is to open 1♣ with 13-15, 22(54) and then rebid 1N (NF Gazzilli) over 1M-1.]


The pre-prepared 1♠ rebid

Opener's 1♠ rebid over 1♣-1♦ and 1♦-1♥ is not only prepared in the established bridge jargon sense that in can be on three cards, but it is also in the sense that Opener may first have to open the shorter minor, occasionally on a 3c suit. So for lack of a better term I call the 1♠ rebid 'pre-prepared'.

1♣-1♦; 1♠-?: / 1♦-1♥; 1♠-?:

If

m = the opened minor
M = the major showed by 1♠

1N = 0-7 TP, 4+ M OR "0-12, 3-M5-OM"
(...)
2♦ = "LR in M or any GF"
(...)
2M = 8-10 TP, 4+ M
2OM = "7-9, 3-M6+OM"
(...)

1m-[1OM-1]; 1♠-1N; :
P = O1
[17 February 2020:
2♣ = O2, either 4+D4C or 5+ C [also with 4M054?]
...P = WK, 3+ C, PREF opposite 4D4C
...2♦ = WK, 3+ D, PREF opposite 4D4C
......P = 4+ D
......(...)
......2M = 5+ C [also with 4M045?]
...(...)
...2M = 0-7 TP, 4+ M
...(...)
2♦ = O2, 4M5+D [also with 4M054?]]
2♥(M=♥) = O3, 4S3H5+C [instead of reversing with 2♠ over 1♣-1♦; 1♥-1N]
2M = O3, 4+M2-OM
2♠(M=♠) = O4, 3S4H5+D [would be difficult to show after 1♦-1♥; 2♣-2♠]
2N = O4, 4M2-OM [and 5- m?]
(...)

1m-[1OM-1]; 1♠-2♦; :
[7 Feb 2020:

2♥ = O1, rejects game opposite LR
...(...)
...2N = GF relay
......3♣ = either 3 M, 4M3m15 or 4M4m05
......3♦ = E(m,OM)
......3♥+ = U(m,M,OM)
...(...)
2♠ = O2
...2N = relay (GF)
......3♣ = either 3 M, 4M3m15 or 4M4m05
......3♦ = E(m,OM)
......3♥+ = U(m,M,OM)
...(...)
2N = O4
...3♣ = relay
......3♦ = E(m,OM)
......3♥+ = U(m,M,OM)
...(...)
3♣ = O1, accepts game opposite LR [would have rejected game with O1 and either 3M, 4M3m15, 4M4m05 or shape consistent with E(m,OM), I believe]
...3♦ = relay
......3♥+ = U(m,M,OM)
...(...)
3♦ = O3, E(m,OM)
3♥+ = O3, U(m,M,OM)
]
[23 May 2021:

I now think it's better to play

2♥ = O1, rejects game opposite LR
...(...)
...2N = GF relay
......3♣ = 4+M5+m, not 3-suited
.........3♦ = relay
............3♥+ = U(m,M,OM)
.........(...)
......3♦ = E(m,OM)
......3♥ = 5Om4M3+m
.........3♠ = relay
............3N = 5Om4M3m
............4♣ = 5Om4M4m
.........(...)
......3♠ = 3M135
......3N = 3M154
...(...)
2♠ = O2
...2N = relay (GF)
......3♣+ = same as after 1m-1Om; 1♠-2♦; 2♥-2N, but with O2 instead of O1
...(...)
2N = O4
...3♣ = relay
......3♦ = E(m,OM)
......3♥+ = U(m,M,OM)
...(...)
3♣ = O3, 5+m4+M, not 3-suited
...3♦ = relay
......3♥+ = U(m,M,OM)
...(...)
3♦ = O3, E(m,OM)
3♥+ = O1, accepts game opposite LR [would have rejected game with O1 and either 3M, 4M3m15, 4M4m05 or shape consistent with E(m,OM), I believe], U(m,M,OM)
]

[not finished]


Non-forcing Gazzilli

[25 March 2020:

1♣-1♦; 1N = O1, 3-S2-H6+C / 13-15, 22(54)* / O3, 3-S2-H, unBAL / 17-19 BAL, 2-3 H
1♣-1♥; 1N = O1, 2-S6+C / 13-15, 22(54)* / O3, 2- S, unBAL / 17-19 BAL, 2-3 S
1♦-1♥; 1N = O1, 2-S3-H6+D / O1-O2, 2-S5D5C / O3, unBAL / 20-22 BAL**
1♦-1♠; 1N = O1, 2-H6+D / O1-O2, 2-H5D5C / O3, unBAL / 20-22 BAL**

* Using NF Gazzilli on 13-15, 22(54) hands is a brand new idea
** Since Responder can respond 1OM with 0-3 hcp, 3 M, then Opener should probably never force to 3M with 20-22 BAL, 4 M, but rebid 1N and still be ahead of most pairs. This is already common practice among pairs who play something like 1♦ as NAT or 18-20 BAL, btw.

(m = the opened minor; M = Responder's shown major)

1♣-[1M-1]; 1N-?: / 1♦-1OM; 1N-?:
P = < POS(m), no good reason (such as having 5 M) not to play 1N opposite BAL.
2m = < POS(m) and a good reason (such as having 5 M) not to play 1N opposite BAL. Promises 4+ M even if m=♦. [10 June 2020:] Not 1- OM if GF values opposite O3 or 17-19 BAL.
2Om = POS(m), relay
2♥(m=♣,M=♠) = 7-9, "6 S" [a pure transfer to S]
2M = 10-12, "6 M" [like an IJS]
2OM(sh(m)=sh(M)) = "10-12, 4+M5+OM"
(In detail:
2♥(m=♦,M=♠) = 10-12, 4+S5+H [like INV Flannery by Responder]
2♠(m=♣,M=♥) = 10-12, 5+S4+H [like INV Reverse Flannery by Responder])
10 June 2020:
2N = "10-12", (4-5M?)1-OM
3♣ = "7-9", 1-OM. If m=♣, then P/C opposite O2. If m=♦, then PREF opposite O2.
3♦(m=♦) = "7-9", 1- OM, PREF oppsosite O2.

where

POS(♣): GF
POS(♦): GF opposite O3 or BAL]
sh(x): the (pointed or rounded) shape of x


1♣-[1M-1]; 1N-2♣; ?: / 1♦-1OM; 1N-2♦; ?:
P = (usually) O1, 6+ m
2♦(m=♣) = O2, 22(54)
2M = (semi)BAL, either 2-3 M or (only if m=♦ 4M333
other = O3, NAT


1♣-[1M-1]; 1N-2♣; 2M-?: / 1♦-1OM; 1N-2♦; 2M-?:
P = WK, 5+ M
2♠(M=♥) = WK, 5+ S
2N = WK, 4M6+C OR GF, 5+M3-OM OR "Puppet Stayman"
2N = WK, 4M6+C OR "GF, 5+M2+OM"
...3♣ = 2-3 M (so forced if m=♣)
......P = WK
......3♦ = "Puppet Stayman"
......3♦ = "GF, 5+M4+OM" (if possible)
.........3♥ = anti-SPL C
.........3♠ = anti-SPL D
.........(...)
......3♥ = GF, 5M3-OM1-C
......3♠ = GF, 5M3-OM1-D
......3N = GF, CoG
......3N = CoG w/ 5 M, usually 5M2OM2+D2+C
...3M(m=♦) = 4M333
3♣ = WK, 4M6+D OR (if possible) "GF, either 4-5M3OM or 44(32)"
3♣ = WK, 4M6+D OR (if possible) GF, 4+S4+H
...3♦ = 2-3 M (so forced if m=♣)
......P = WK
......3♥ = 5+M4+OM
.........3♠ = 3+ S
............3N = 4S5H
............4♥ = 4S6+H
............4♠ = 5+ S
......3♠: undefined
......3N = 4S4H, NF (if possible)
......(...)
......3M = "GF, 5M3OM"
......3OM = "GF, 4M3OM(42)" (and a likely ruffing value)
......3N = 44(32)
...3M(m=♦) = 4M333
3♦ = GF, 4-5M1-OM
3♦ = "GF, 4+M5+OM"
...3♥ = anti-SPL C
...3♠ = anti-SPL D
...(...)
3♥ = GF, 4M3-OM1-C
3♠ = GF, 4M3-OM1-D
3N = to play, usually either 4M2OM2+D2+C or 4M333
(...)


1♣-[1M-1]; 1N-2♦; ?: / 1♦-1OM; 1N-2♣; ?:
If m is Opener's minor, then
2♦(m=♦) = O1, 2-M6+D and, if M=♠, 3- H
...(...)
...2M+1 = GF relay
...(...)
2♥ = BAL, either 2-3 M or (possibly) 4M333
...2♠ = relay
......2N+ = Bal(M)|2N+. See Bal(M') above.
...(...)
2♠(m=♣) = O1, 2-M3-OM6+C
...2N = relay
...(...)
2♠(m=♦) = O1-O2, 5D5C [or (idea, 10 April 2020m:) 20-22 BAL, 4 M, not 4M333]
...2N= INV+ relay
......3♣ = O1
......[Idea, 10 April 2020, using that 20-22 BAL, 5M(332) (=> 5c M support) doesn't have to rebid 1N:
......3♦ = Bal(M)|2♠-2N; 3♦
......3♥ = O2 or 44(32)
.........3♠ = relay
............3N = O2
............4♣ = 4423
............4♦ = 4432
......3♠+ = Bal(M)|2♠-2N; 3♠+]
...(...)
2N+ = O3, Unbal(m,M) (see Unbal(x,s) below) except [idea, 10 April 2020] that
3♦(m=♣,M=♠) = O1, 4+H6+C
3♥(m=♣) = O2, 2245
3♠(m=♣) = O2, 2254

[10 April 2020:
1♣-[1M-1]; 1N-2♦; 2♠-2N; ?: / 1♦-1OM; 1N-2♣; 2♦-[2M+1]?:
If m is Opener's minor, then
2N(m=♦,M=♥) = 4+ S
3♣+ = 3- OM, NAT]

(Unbal(m,M) is just an instance of Unbal(x,y), a relay structure I'm still working on, although an early version can be found in this thread.

Current version:

Spoiler

In what follows,

* x is Teller's main suit
* y is Teller's second suit/fragment
* z is Teller's third suit/fragment
* st = Askers shown or stipulated¹ suit
* u and v are
** ♥ and ♠, respectively, if x=m and s=Om;
** OM and Om, respectively, if x=m and s=M or if x=M and s=m;
** ♣ and ♦, respectively, if x=M and s=OM;
* s is
** lowest of u and v if y=st
** st otherwise
* t is the remaining suit

¹ 11 May 2017: I've found it difficult to deal with quasi-3-suited shapes such as (5440), (5530) and (6430) in a principled way in my structure, but I just discovered that it helps if s=♥ whenever x=♠. (Up to now I've put s=♣ after 1♠-2♣.)

Unbal(x,s):

2N = 5x4u, 6x4+u, or any 1-suiter w/ 6+ x except those with 8+x3v or 8+x3s
...3♣ = relay
......3♦ = 1s(x,s)
......3♥+ = U(x,u,s)
...(...)
3♣ = 5x4v, 6+x4+v, 8+x3+v or (x>v only:) 5x5v3s
...3♦ = relay
......3♥+ = U(x,v,s)
...(...)
3♦ = E(x,s)
3♥+ = U(x,s,s)

[Note on 5x5m hands:

* 5x5C3s goes through U(x,C,s)
* other 5x5y hands goes through E(x,s)]

NB! Although Unbal(x,s) makes sense whenever x and s are different suits, below I might have lazily assumed that if x=M then x!=♦.

1s(x,s) ['1s' for 'one-suited']:

3♦ = any 1-suiter with 6+ x except those with 8+ x and either 3 v or 3 s
...3♥ = relay, usually with 2+ x*
...3♠ = 5+ s. If s=m then slam interest
...(...)

3♦-3♥; ?:

3♠ = SPL u but neither 7x1u(32) nor 9x1u(21) OR 7x3u(21) OR 9x2u11 OR 6x2s(32)
...3N = relay
......4♣ = 6x2s(32), full shape resolution only after key card exchange
.........4♦ = KCA(x)
.........(...)
......4♦+ = 6+(x,u)
3N = SPL v but neither 7x1v(21) nor 7x1v(21) OR 7x3v(21) OR 9x2v11
...4♣ = relay
......4♦+ = 6+(x,v)
4♣ = 6x3s22 or 7x222
...{x,s}={C,D}:
...4♦/♥ = CKCA(♣/♦), resp.
...{x,s}={m,M}:
...4♦/OM = CKCA(m,OM), resp.
...{x,s}={H,S}
...4♦ = end signal
...4♥/♠ = CKCA(♥/♠), respectively
4♦+ = 6+(x,s)

where CKCA(T) is a 'conditional key card ask' agreeing T with responses:

4T+2 = 7x222 (good news)
...[4T+3]+ = KCR(T)
[4T+3]+ = 6x3s22, KCR(T)

(My version of CKCAs are similar to ORKC (= Optional RKC, played by e.g. Welland-Auken) in that not all the responses are about key cards. The main difference is that discouraging responses a CKCA show "discouraging" shape (e.g. 5413 instead of 5404), not minimum in terms of hcp or similar.)

* [29 Sept 2017:] Because it can be awkward to set suits other than x as trumps later. I also think that relay breaks should start already over 2N, with something like

3♦ = 5+ s, slam interest if u=m (so that Teller can support with support)
...3♥ = 1-suited
......3♠ = 6+ s
......3N+ = NAT, usually 5 s
...3♠ = 6+x4+u
...3N+ = 5 x, NAT
3♥ = 5+ v, slam interest if u=m (so that Teller can support with support)
...3♠ = 6+ x
...3N+ = NAT, usually 5 x

while over 2N-3♣; 3♦,

3♠ = 5+ u, slam interest if u=m (so that Teller can support with support),

i.e. the relay break occurs only after Teller has denied 4+ u.

6+(x,y):

4♦ = 6x1y33 [5 May 2020: I'm thinking about using either 4♥/♠/N as KCA or 4♠+ as KCR(h) (h for "hidden") here]]
4♥ = 7x3y(21) [treating 7x3y21 as a "card" in the spiral]
4♠ = 7x0y33 [5 May 2020: I'm thinking about using either 4N+ as KCR(x) or KCR(h) (h for "hidden") here]
4N = 8x1y22 [5 May 2020: It makes sense to use 5♣+ as KCR(x) here]
5♣ = 9x2y11 [5 May 2020: It makes sense to use 5♦+ as KCR(x) here]
5♦ = 9x0y22 [5 May 2020: It makes sense to use 5♥+ as KCR(x) here]

E(m,Om):

(Osh(m) = the other suit of the same shape (rounded or pointed) as m)

3♦ = 4m4Osh(m)(41), 4S4H5m or, if m=♦, 5D5C2-H
...3♥ = relay
......3♠ = 4m4Osh(m)14
......3N = 4S4H4+m
[24 July 2021: Outdated, I think:
.........4♣ = slam try in m
............4♦ = 4S4H5m (=> 4♥ = KCA(m)*)
............4♥+ = 4S4H4m, KCA(m) responses
.........4♦ = slam try in M
............4♥ = 4S4H4m (=> 4N/5♣ = KCA(♥/♠), resp.)
............4♠ = 4S4H5m (=> 4N/5♣ = KCA(♥/♠), resp.)
.........(...)
]
......4♣(m=♦) = 3055 (=> 4♦/♥/N = KCA(♣/♦/♠)
......4♦(m=♦) = 1255 (=> 4♥/♠ = KCA(♣/♦))
......4♥(m=♦) = 2155 (=> 4♠/N = KCA(♣/♦))
[30 January 2021: I now think
......4♦(m=♦) = (21)55 (=> 4♥/♠ = KCA(♣/♦)),
with final shape resolution during spiral scan, is better.]
...(...)

Note: For this to work, Asker must have 3-S3-H unless slam interest.

E(♦,M):

3♦ = 4H4D(41), 4450 or 2-M5D5C
...3♥ = relay
......3♠ = 2-M5D5C
.........4♣ = relay w/ C agreed
............4♦ = 1255 (=> 4♥ = KCA(♣))
............4♥ = 0M5D5C (=> 4♠+ = KCR(♣))
............4♠/4N/5♣ = 2155, KCR(♣)
.........4♦ = relay w/ D agreed
............4♥ = 1255 (=> 4♠ = KCA(♦))
............4♠ = 0M5D5C (=> 4N+ = KCR(♦))
............4N/5♣/5♦ = 2155, KCR(♦)
......3N = 1444
......4♣ = 4441 (=> 4♦ = KCA(M))
......4♦ = 4450
...(...)

[11 Jun 2017:

E(♣,M):

3♦ = 4S4C(41) or 4405
...3♥ = relay
......Maybe
......3♠ = idle
......3N = 4144
......4♣ = 4414 (=> 4♦ = KCA(M))
......4♦ = 4405,
......to keep E(♣,M) as similar to E(♦,M) as possible.
...(...)]


E(M,s)

3♦ = 5M5C2-s, 5M5D or, if M=♠, 5S5H
...3♥ = relay
......3♠ = 5M5D
.........4♣ = relay w/ D agreed opposite 5M5D2-s
............4♦ = 5M5D3s'
...............4♥ = KCA(min{D,s})
...............4♠ = KCA(max{D,s})
............4♥ = 5M5D12
...............4♠ = KCA(♦)
...............(...)
............4♠ = 5M5D0s
............4N/5♣/5♦ = 5M5C21, KCR(♦)
.........4♦ = relay w/ M agreed
............M=♥:
............4♥ = 5H5D(21)
............4♠ = 5H5D3s (good news)
...............4N+ = KCR(♥)
............4N+ = 5H5D0s, KCR(♥)
............M=♠:
............4♥ = 1525
............4♠ = 2515
............4N = 5S5D3s (good news)
...............5♣+ = KCR(♠)
............5♣+ = 5S5D0s, KCR(♠)
.........4M/5♦ = to play
......3N = 5M5C2-s
.........4♣ = relay w/ C agreed
............4♦ = 5M5C12
...............4♥ = KCA(♣)
...............(....)
............4♥ = 5M5C0s
............4♠/4N/5♣ = 5M5C21, KCR(♣)
.........4♦ = relay w/ M agreed
............M=♥:
............4♥ = 5H5C(21)
............4♠+ = 5H5C0s, KCR(♥)
............M=♠:
............4♥ = 1525
............4♠ = 2515
............4N+ = 5S5C0s, KCR(♠)
.........4M/5♣ = to play
......4♣(M=♠) = 5503 (=> 4♦ = end signal; 4♥/♠/N = KCA(♣/♥/♠))
......4♦ (M=♠) = 55(21) (=> 4N/5♣ = KCA(♥/♠))
......4♥ (M=♠) = 5530 (=> 4N/5♣ = KCA(♥/♠))
...(...)


U(x,y,s) ['U' for long suits of unequal length]

3♥ = either 5x4y22, 6x4y(21), 6+x4+y0+u or 8+x3(!)y
...3♠ = relay
......3N = 5x4y22
.........4♣ = slam try not in C
............4♦ = forced
...............4♥/4♠/4N = KCA(♦/♥/♠), resp.
.........4♦ = KCA(♣)
.........4♥/4♠/5♣/5♦ = to play
.........4N = quantitative
......4♣ = 6x4y03 (=> 4♦ = stop signal)
......4♦ = 6x4y(21) (shape finally resolved during spiral scan)
......4♥ = 8+x3y
.........4♠ = relay
............4N = high uneven shortage
...............5♣ = relay
...................5♦ = 8x3y02
...................5♥ = 9x3y01
...................(....)
............5♣ = 8x3y11
............5♦+ = low uneven shortage
............In more detail:
............5♦ = 8x3y20
............5♥ = 9x3y10
............(...)
......4♠+ = high void, either 6+x5+y or 7+x4y
......In more detail:
......4♠ = 6x5y02
......4N = 7x4y02
......5♣ = 6x6y01
......5♦ = 7x5y01
......5♥ = 8x4y01
......(...)
...3N = suggestion opposite 6x4y
...(...)
3♠/N = Q3s(x,y,s) (see below)
4♣ = 6x4y30 (=> 4♦ = stop signal)
4♦ = 6x5y11
4♥ = 7x4y11
4♠+ = low void, either 6+x5+y or 7+x4y
In more detail:
4♠ = 6x5y20
4N = 7x4y20
5♣ = 6x6y10
5♦ = 7x5y10
5♥ = 8x4y10
(...)

After Teller has shown either 6x4y(21) or exact shape and either 6+x5+y, 7+x4+y or 8+x3+y, then the lowest and next lowest bids by Asker in denominations other than x and y are KCA in the lowest and highest ranking suits of x and y, respectively. [5 May 2020: I'm thinking about using instead KCRs with a hidden trump here.]

[16 May 2020: At least when Teller has shown 6x4y(21) and {x,y}={♣,♥}, then I think it's better to play

(...)4♦-?:

(...)
4♠ = C or H is trumps, even # of key cards
...4N = trump Q ask if C is trumps
......5♣ = C is trumps, no trump Q
......5♦ = H is trumps, no trump Q
......5♥ = H is trumps, trump Q
......5♠/5N/6♣ = C is trumps, zoom to 6♣
...5♣ = to play if C is trumps
......P = C is trumps
......5♦ = H is trumps, no trump Q
......5♥ = H is trumps, trump Q
......(...)
...(...)
4N = C is trumps, odd # of key cards, no trump Q
5♣ = C is trumps, odd # of key cards, trump Q
5♦ = H is trumps, odd # of key cards, no trump Q
5♥ = H is trumps, odd # of key cards, trump Q]


Q3s(x,y,s):

This quasi-three-suited structure is approximately given by

3♠ = "5x4(+)y3(+)s"
3N = "5x4y3(+)t".

Unfortunately some of the symmetry disappears when it is written out for different values of x,y and s:

Spoiler

Q3s(♣,♦,♦):

3♠ = 1345
3N = 3145


Q3s(♣,♦,♥):

3♠ = 1345
3N = 3145


Q3s(♣,♦,♠)

3♠ = 3145
3N = 1345


Q3s(♣,♥,♦):

3♠ = 1435/0445
3N = 3415


Q3s(♣,♥,♠):

3♠ = 3415
3N = 1435/0445


Q3s(♣,♠,♦):

3♠ = 4135/4045
3N = 4315


Q3s(♣,♠,♥):

3♠ = 4315
3N = 4135/4045


Q3s(♦,♣,♣):

3♠ = 1354/0355
3N = 3154


Q3s(♦,♣,♥):

3♠ = 1354/0355
3N = 3154


Q3s(♦,♣,♠):

3♠ = 3154/3055
3N = 1354


Q3s(♦,♥,♣):

3♠ = 1453/0454
3N = 3451


Q3s(♦,♥,♠):

3♠ = 3451
3N = 1453/0454


Q3s(♦,♠,♣):

3♠ = 4153/4054
3N = 4351


Q3s(♦,♠,♥):

3♠ = 4351
3N = 4153/4054


Q3s(♥,♣,♦):

3♠ = 1534/0535
3N = 3514


Q3s(♥,♣,♠):

3♠ = 3514/3505
3N = 1534 (also 0544?)


Q3s(♥,♦,♣):

3♠ = 1543/0544
3N = 3514


Q3s(♥,♦,♠):

3♠ = 3541
3N = 1543 (also 0544?)


Q3s(♥,♠,♣):

3♠ = 4513/4504
3N = 4531/4540


Q3s(♠,♣,♦):

3♠ = 5134/5035
3N = 5314


Q3s(♠,♣,♥):

3♠ = 5314/5305
3N = 5134 (also 5044?)


Q3s(♠,♦,♣):

3♠ = 5143/5044
3N = 5341


Q3s(♠,♦.♥):

3♠ = 5341
3N = 5143 (also 5044?)


Q3s(♠,♥,♣):

3♠ = 5413/5404
3N = 5431/5440


Q3s(♠,♥,♥):

3♠ = 5413/5404
3N = 5431/5440

A Zelandakhian Mulberry substitute

If shape isn't fully resolved at 3♠ or 3N, then

4♣ = slam try without a known C fit if C is a potential trump suit, else a slam try without a known D fit
...4♦ = not (5431)
......4♥/4♠/N = KCA in the lowest, midmost and highest potential trump suits, respectively
...4♥ = (5431)
......P(H a potential trump suit) = known H fit, not slammish oposite (5431)
......4♠ = to play if S is a potential trump suit, else KCA(♦)
......4N = KCA(♥) if H is a potential trump suit, else KCA(♠)
......5♣ = KCA(♠) if both H and S are potential trump suits, else not defined
4♦ = slam try with a known C fit if C is a potential trump suit, else a slam try with a known D fit
...4♥ = not (5431) (good news)
......4♠+ = KCR(♣) if C is a potential trump suit, else KCR(♦)
...4♠+ = (5431)
4♥ = to play if H is a potential trump suit, else a slam try with a known D fit
...P = mandatory if H is a potential trump suit,
...[not finished]
4♠ = to play if S is a potential trump suit, else not defined


KCAs and KCRs

If T is the trump suit, then the responses to the key card ask (KCA(T)) really also depend how many n steps above 4T it starts. My ideas are:

n < 3:

PKC(T) ['Parity Key-Card (Blackwood) in T']

4T+n = key-card ask with T agreed
...4T+(n+1) = even # of KC(T)
......4T+(n+2) = TQ ask
.........4T+(n+3) = no TQ
.........(4T+(n+4))+ = TQ, spiral cue
......(...)
...4T+(n+2) = odd # of KC(T), no TQ
...(4T+(n+3))+ = odd # of KC(T), TQ, spiral cue

n = 3:

RPKC(T) ['Reduced Parity Key-Card (Blackwood) in T']

4T+3 = key-card ask with T agreed
...4T+4 = even # of KC(T)
......5T = to play
......5T+1 = TQ ask
...5T = odd # of KC
......P =
......5T+1 = TQ ask
.........(5T+2)+ = TQ, asks for other the next cards in the spiral chain

n = 4:

QA(T) ['Queen ask in T']:

4T+4 = TQ ask with T agreed
...5T = no TQ
......P = allowed
......5T+1 = parity ask(T)
.........5T+2 = even # of KC(T)
.........5T+3 = odd # of KC(T), no 2nd
...5x+1 = TQ, even # of KC
...5x+2 = TQ, odd # of KC, no

(This is essentially a version of Last Train, but with 'extras' interpreted as the TQ. A potential discussion point, no doubt.]

[2 Feb 2020:
Full shape resolution during spiral scan

After key cards has been shown, the shapes

* 6x2s(32)
* 6x4y(21)
* 7x1y(32)

are resolved fully by inserting a "high shortage" step into the spiral between the trump Q and side kings in the case of 6x2s(32) and 7x1y(32), but between the long side suit K (the equivalent of an ace in 6-ace RKC) and the next side K in the case of 6x4y(21).]


Cherrypicked examples (not all flattering!) [massive updating needed!]

Spoiler

[Example added 2 Feb 2017:] From Order of play::

A K Q               5 2 
K                   Q 9 6 3 
Q 6 2               A 7 5 4 
K Q J 9 8 7         A 6 5 

I believe the auction should start

1C-1D ("NATish unBAL OR 11-13/17-19/26+ BAL" \\ "0+, 4+ H")
1N-2C (O1, 3-S2-H6+C OR O2, 22(54) OR O3, 3-S2-H, unBAL OR 17-19 BAL, 2-3 H \\ to play opposite O1)
2S (O3, 3S1-H),

but if Opener makes the slightest of evaluation errors (2D instead of 1N):

1C-1D ("NATish unBAL OR 11-13/17-19/26+ BAL" \\ "0+, 4+ H")
2D-2S (O4, unBAL \\ GF relay)
2N-3C ("(3)4+S5+C (here a formal possibility only) or 1-suited" \\ relay)
3D-3H (1-suited, but not 8+C3O \\ relay)
4D-4H (3136 (and 19-21 hcp) \\ PKC(C))
4S-4N (even # of key cards \\ trump Q ask)
5D-6C (trump Q, no DK \\ contract)
P

Outdated auction:

Spoiler

1♣...1♦ ("nat. or 11-13/17+ bal." (V) \\ 4+ H)
2♦...2♠ (rules of 28-30, unbal. \\ GF relay)
2N...3♣ ("4+ S or 1-suited" \\ relay)
3♦...3♥ (1-suited (not 8+C3R) \\ relay)
3N...4♣ (SPL H \\ relay)
4♦...4♥ (3136 \\ PKC(♣))
4♠...4N (even # of KC(♣) \\ trump Q ask)
5♦...6♣ (♣Q, no ♦K \\ contract (ouch!))
P

From 2016 Reisinger F1 (Round 3 of 9)

A Q 8 5             7 2 
K T                 A 8 4 
K 9                 A 8 5 3 
A Q J 6 5           9 8 7 2 

1C-1N ("NATish unBAL OR 11-13/17-19/26+ BAL" \\ "7-12, NAT")
2H-2S (O3, unBAL \\ GF relay)
3C-3D ("(3)4+S5+C" \\ relay)
3H-3S (4225, 4S6C(21), 4+S0H6+C or 3S8+C \\ relay)
3N-4D (4225 (and 19-21 hcp) \\ PKC(C))
4H-4S (even # of key cards \\ trump Q ask)
5C-6C (trump Q, no SK \\ contract)
P

Outdated auction:

Spoiler

1♣...1N ("clubs or 14-19/23+ bal." (NV) \\ "7-9, nat.")
2♥...2♠ (rules of 28-30, unbal. \\ GF relay)
3♣...3♦ ("usually 4+S5+C" \\ relay)
3♥...3♠ ("usually 4225 or 4S6C" \\ relay)
3N...4♣ ("usually 4225" \\ slam try not in S)
4♦...4♥ (4225 \\ PKC(♣))
4♠...4N (even # of KC(♣) \\ ♣Q ask)
5♦...6♣ (♣Q, no ♠K \\ contract)
P

[Example added 2 Jan 2017, updated 15 Jun 2017:] From ATB missing slam:

A Q J 5             6 2 
A K Q 6             T 7 4 2 
A J 8 3             K 7 2 
4                   A K J 5 

1D-1S ("NATish unBAL OR 20-22 BAL" \\ "0+, (3)4+ H")
2C-2D ("O1-O2, 3c SUPP OR O4, unBAL" \\ INV+ relay)
3D-3H(O4, either 4H4D(41), 4450 or 2-H5D5C \\ relay)
4C-4D (4441 \\ PKC(H))
4H-6H (even # of key cards \\ contract)
P

Auction with old meanings:

Spoiler

1♦...1♠ (nat., unbal., F1 // 4+ H)
2♣...2♦ (various / rules of 28-30, any // positive relay)
3♦...3♥ (rules of 28-30, either 4H4D(41) or 5D5C // relay)
4♣...4♦ (4441 // PKC(♥))
4♥...6♥ (even # of KC(♥) // contract)
P

From 2016 Reisinger SF2 (Round 2 of 9):

A                   K J 
A Q J 9             8 
A 9 7 6 5 3         K Q J T 2 
J 8                 A Q 9 6 2 

1D-2C ("NATish unBAL OR 20-22 BAL" \\ "unBAL GF w/ either primarily C or 3-S3-H5+D")
2N-3C ("O3, eiter (3)4+H5+D or 1-suited" \\ relay)
3H-3S (2452, 4H6D(21), 0S4+H6+D or 3H8+D \\ relay)
4D-4S (4H6D(21) \\ PKC(D))
5C-7D (odd # of key cards, no trump Q \\ contract)
P

Outdated auction (with pointless ♥K ask!):

Spoiler

1♦...2♣
2N...3♣ (rules of 25-27, "4+H5+D or 1-suited" \\ relay)
3♥...3♠ ("usually 2452 or 4H6+D"\\ relay)
4♣...4♥ (4H6D2+C \\ CPKC(♦))
5♣...5♥ (1462, odd # of KC(♦), no ♦Q \\ ♥K ask)
5♠...7♦ (no ♥K \\ contract)
P

Example added 16 Jun 2017:

K Q 9               A J 7 6 3 
K Q T 7 4           6 2 
A K T 8 4           5 
-                   A Q 7 4 2 

1H-1S ("10-21, 5+ H, unBAL" \\ "5+, 4+ S")
1N-2C (O1, 3-S5H OR O3 \\ "positive relay")
3C-3D ("O3, 5+H(3)4+D, not 2-S5H5D" \\ relay)
3S-4C (3S5H4+D \\ slam try not in D)
4D-4N (3550 (and 15-17 hcp) \\ PKC(S))
5C-5D (even # of key cards \\ trump Q ask)
6C-6S (trump Q, DK, HK, no DQ \\ contract)
P

Auction with outdated meaning of 4♣:

Spoiler

1♥...1♠
1N...2♣ (rules of 19-21, 3-S5H / rules of 25-27 \\ "8+, relay")
3♣...3♦ (rules of 25-27, "usually 4+ D" \\ relay)
3♠...4♣ (3S5H4+D \\DCKCA)
4♥...4N (3550 \\ KCA(♠))
5♣...5♦ (even # KC(♠) \\ ♠Q ask)
6♣...6♠ (♠Q, ♦K, ♥K, no ♦Q \\ contract)
P

From Swiss Championship 2016 2017 A Serie Final (Session 1), bidding updated 16 Jun 2017:

A K 9 5             J 3 2 
A Q J 7 5           K T 6 3 2 
T 4 3               A K 9 
8                   A Q

1H-2C ("10-21, 5+ H, unBAL" \\ 3-way)
2D-2H (O1, some hands worth a GF OR O2 OR O4, some hands \\ relay (GF))
2N-3C ("O2, either (3)4+S5+H or 1-suited" \\ relay)
3N-4C (4S5H3+D (and 13-15 hcp) \\ slam try not in D)
4H-4N (4531 \\ PKC(H))
5C-5S (even # of key cards \\ SK ask)
6C-6D (SK, no DK \\ SQ ask)
6H-P (no SQ \\ ---)

Outdated (but more efficient!) auction:

Spoiler

1♥...2♣
2♥...2♠ (rules of 22-24 \\ relay)
2N...3♣ ("usually 4+ S or 1-suited" \\ relay)
3N...4♦ (4531 or 4540 \\ CKCA(♥))
4♥...4♠ (4531 \\ PKC(♥))
4N...5♣ (even # of KC(♥) \\ ♥Q ask)
5♠...5N (♥Q, ♠K, no ♦K \\ ♠Q ask)
6♣...6♥ (no ♠Q \\ contract)
P

From 2016 Reisinger F1 (Round 7 of 9):

K J                 Q 9 
K Q J T 7 6 5       9 4 
-                   A Q 9 5 3 
Q 8 5 3             A J 9 7 

The auction should either start

1H-2C ("10-21, 5+ H, unBAL" \\ 3-way)
2H-2S ("O1(!) (most hands)" \\ GF relay)
4N (2704 (and 8-10 hcp),

leading to disaster, or

1H-2C ("10-21, 5+ H, unBAL" \\ 3-way)
2D-2H (O1, some hands worth a GF OR O2 OR O4, some hands \\ relay (GF))
2S-2N (O1 or O4 \\ relay)
3C (O1),

cramping the auction, although Opener has promised a lot of shape.

Idea:

1H-2C
2H-2S
3D = expanded E(H,C), using 4C+ for shapes that can only be shown above 4H via Unbal(H,C).

Outdated auction (which happens to work much better):

Spoiler

1♥...2♣
2♥...2♠ (rules of 22-24 \\ relay)
4♣...4♥ (7H4+C \\ sign off)
P

From How do you bid these hands to possible slams?

K Q 5 3 2           4 
A K T 4             8 7 6 5 2 
-                   A Q J 6 5 
A K Q 5             J 4 

1S-1N ("10-21, 5+ S, unBAL \\ "5-12, NF")
3S-4C (19-21 hcp, 5S4H3+C \\ slam try not in C)
4D-4S (5404 \\ PKC(H))
5C-(5?)6H (even # of key cards, no trump Q \\ contract)
P

Outdated auction:

Spoiler

1♠...1N
3♠...4♦ (19-21, 5S4H3+C \\ CKCA(♥))
4N...6♥ (5404, odd # KC(♥), no ♥Q \\ contract)
P

2016 Reisinger F2 (round 1 of 9, board 1):

A K T 8 3 2         Q 9 
K 8 3               Q J 
6                   A Q J 9 3 
9 6 3               K J 7 5 

1S-2C ("10-21, 5+ S, unBAL \\ 3-way)
2D-4C (O1 OR O4, some hands \\ GF relay)
2N-3C ("O1, either 5+S(3)4+H (not 5S5H) or 1-suited" \\ relay)
3D-4S (1-suited, not 8+S3O \\ contract)
P

(Bad hand for the system as 4[sp] was -1 on a C lead and 3N was cold. Maybe Responder should have gambled 3N over 3[di]?)

From 2016 Reisinger F1 (Round 3 of 9)

K Q J 7 3           4 2 
J 9 7 4             A K Q T 3 
9                   J 8 6 5 
A 8 2               K 5 

1S-2C ("10-21, 5+ S, unBAL \\ 3-way)
2D-4C (O1 OR O4, some hands \\ GF relay)
2N-3C ("O1, either 5+S(3)4+H (not 5S5H) or 1-suited" \\ relay)
3S-4C (5S4H3+C (and 10-12 hcp) \\ slam try not in C)
4H-P (5413 \\ giving up)

Outdated auction:

Spoiler

1♠...2♣
2♦...2♠ (rules of 19-21 \\ relay)
2N...3♣ ("usually 4+ H or 1-suited" \\ relay)
3♠...4♦ (5S4H3+C \\ slam try in H)
4♥...P (5413 \\ giving up)

From 2016 Reisinger SF1 (Round 1 of 10)

Q 8 7 5 4 3         A K 
A Q 6 5             K J 9 3 
-                   A 8 5 4 3 
K J 3               A T 

1S-2C ("10-21, 5+ S, unBAL \\ 3-way)
2D-4C O1 OR O4, some hands \\ GF relay)
2N-3C ("O1, either 5+S(3)4+H (not 5S5H) or 1-suited" \\ relay)
3H-3S (either 5422, 6S4H(21), 6+S4+H0+D or 8+S3H \\ relay)
4C-4S (6403 (and 9-11 hcp) \\ PKC(H))
5D-5S (odd # of key cards, trump Q, no SK \\ CK ask)
6D-6S (CK, SQ, no CQ \\ SJ ask)
6N-7H (no SJ \\ contract)
P

,
Outdated auction:

Spoiler

1♠...2♣
2♦...2♠ ((downgraded to) rules of 19-21 \\ GF relay)
2N...3♣ ("usually 4+ H or 1-suited" \\ relay)
3♥...3♠ ("usually 5422 or 6S4H" \\ relay)
4♣...4♥ (6S4H2+C \\ CPKC(♥))
4♠...5♣ (6403 \\ RPKC(♥))
5♥...5♠ (odd # KC(♥) \\ ♥Q ask)
6♣...6♦ (♥Q, no ♠K \\ ♣K ask)
6N...7N (♣K + ♠Q, no ♠J \\ contract (BAM))
P

2016 Reisinger F2 (round 3 of 9, board 7):

A K Q J T 4         7 5 3 
Q 9                 K T 2 
K 4                 A J 5 3 
T 5 3               A Q 8

1S-2C ("10-21, 5+ S, unBAL \\ 3-way)
2H-4C O2 \\ relay (GF))
3D-3H (1-suited, not 8+S3O \\ relay)
4C-4H (6223 or 7222 \\ slam interest in S)
4S-P (6223 \\ ---)
P

Oudated auction:

Spoiler

1♠...2♣
2♥...2♠ (rules of 22-24 \\ relay)
2N...3♣ ("usually 4+ H or 1-suited" \\ relay)
3♦...3♥ (1-suited (not 8+S3m) \\ relay)
4♣...4♦ (6223 or 7222 \\ relay
4♥...4♠ (6223 \\ contract)
P

(1♠-3N("pudding raise"); P would have been better this time.)

[Example added 22 Feb 2017:] From Slam missed:

A Q T 8 6 5 2       7 3 
A 7 2               K Q 4 
A Q T               J 9 6 
-                   Q T 8 7 2 

1S-1N ("10-21, 5+ S, unBAL \\ "5-12, NF")
2C-2D (O1-O2, 4+ H OR O3 \\ "positive relay")
2N-3C ("O3, either 5+S(3)4+C (not 5S2-H5C) or 1-suited" \\ relay)
3D-3H (1-suited, not 8+S3O \\ relay)
3S-3N (SPL C \\ relay)
4S-4N (7330 (and 15-17 hcp) \\ PKC(S))
5H-6S (odd # of key cards, trump Q, no DK \\ contract)
P

Outdated (and completely wrong) auction:

Spoiler

1♠...2♣
2N...3♣ (rules of 25-27, "usually 4+ H or 1-suited" \\ relay)
3♦...3♥ (1-suited (not 8+S3m) \\ relay)
4N...5♣ (7330 \\ PKC(♠))
5♠...6♠ (odd # of KC(♠) + ♠Q \\ contract)
P

Other BBF deals:

http://www.bridgebas...c/57873-deal-1/

A Q J 9 8 2         K 4 
Q J 5               9 8 7 6 3 
A K                 7 5 4 2 
T 6                 A K 

1S-1N ("10-21, 5+ S, unBAL \\ "5-12, NF")
2C-2D (O1-O2, 4+ H OR O3 \\ "positive relay")
2N-3C ("O3, either 5+S(3)4+C (not 5S2-H5C) or 1-suited" \\ relay)
3D-3H (1-suited, not 8+S3O \\ relay)
4C-4D (6322 or 7222 \\ relay)
4H-P (6322 (and 16-18 hcp) \\ ---)

Responder could also have bid 3S(=5 H) over 3D.

Outdated auction:

Spoiler

1♠-1N
2♣-2♦ ("10-15, 4+ H" OR "16-18" \\ 8+, relay)
2N-3♣ ("16-18", usually either 4+ C or 1-suited w/ 6+ S\\ relay)
3♦-3♥ (1-suited, not 8+S3C \\ relay)
3♠-4♠ (SPL C or 62(32) \\ to play)
P

Responder could also have bid 3♠(=5 H) over 3♦.

http://www.bridgebas...c/57883-deal-2/

Q                   A 8 4 
K Q 5               A 9 4
K Q J T 7           A 9 5 4  
A T 9 8             K 7 2

1D-1H ("NATish unBAL OR 20-22 BAL" \\ "0+, (3)4+ S")
1N-2C (O1, 2-S3-H6+D OR O1-O2, 2-S5D5C OR O3 OR 20-22 BAL \\ "positive relay")
3C-3D (O3, either 5+D(3)4+C (not 2-S5D5C) or 1-suited \\ relay)
3N-4C (1354 (and 16-18 hcp) \\ slam try not in C)
4D-4H (forced \\ PKC(D))
4S-4N (even # of key cards \\ trump Q ask)
5D-5H (trump Q, no CK \\ HK ask)
5N-6D (HK, no CQ \\ contract)
P

Oudated auction:

Spoiler

1♦-2♣
3♠-4♣ ("16-18", 1354/0355 \\ DCKCA)
4♦-4♠ (1354 \\ PKCA(♦))
4N-5♣ (even # of KC(♦) \\ ♦Q ask)
5♥-5♠ (♦Q, no ♣K \\ ♥K ask)
6♣-6♦ (♥K, no ♣Q \\ to play)
P

http://www.bridgebas...c/57893-deal-3/

A K Q T 9 5         -
A T 7               8 4 2
A K 5               Q 8 6 4 3 
8                   Q J T 7 2 

With the strong hand as Opener:

1S-1N ("10-21, 5+ S, unBAL \\ "5-12, NF")
2N-3C ("O4, either 5+S(3)4+C (not 5S2-H5C) or 1-suited" \\ relay)
3D-3N (1-suited, not 8+S3O \\ suggestion)
P (OK)

Auction with old meanings:

Spoiler

P -1♠
1N-2N ("5-10, NF" \\ "19-21", usually 4+ C or 1-suited w/ 6+ S)
3♣-3♦ (relay \\ 6+ S, 1-suited) \\ suggestion, usually 1-S4-H)
3N-P (suggestion \\ usually 6 S)

http://www.bridgebas...c/57934-deal-5/

6 5                 A Q T 3 2
A K T 6             Q 8 3
K Q 9 6 5           J 
A K                 9 8 6 4

Opener can no longer rebid 2C over 1D-1H on unBAL O4 hands with 3-S4+H, but must rebid 1S (= "4+ H or 10-15, 13(54)") unless he chooses to treat O4, 2452 as 20-22 BAL.

Outdated auction:

Spoiler

1♦-1♥ ("10+, quasiNAT, unBAL" OR "20-22 BAL" \\ "0+, 4+ S")
2♣-2♦ ("3c SUPP or 19-21" \\ relay, GF opposite "19-21")
2N-3♣ ("19-21", usually either 4+ H or 1-suited w/ 6+ D \\ relay)
3♥-3N (usually 2452 or 4H6D \\ to play)
P

Opener could also have treated his hand as "20-22 BAL" over 1♥ and rebid 1N(ART).

http://www.bridgebas...c/57952-deal-6/

K 2                 Q 9 3 
A K 8 5 4           J 9 7 
K Q 9 7 6           T 5 
T                   A Q 9 5 4

1H-2H ("10-21, 5+ H, unBAL" \\ "8-10 TP, 3(4) H")
4H-P (contract \\ --- )

http://www.bridgebas.../58021-deal-10/

A Q 8 7 6           T 9 2 
A K 6 5             Q 9 3 
A J T               3
9                   Q J 8 7 6 3

1S-1N ("10-21, 5+ S, unBAL" \\ "5-12, NF")
3N-4S (19-21 hcp, 5S4H3+D \\ contract)
P

http://www.bridgebas.../66373-deal-34/

A Q 8 7 3           J T 5
A 5 3               Q J 8 
T                   A 9 7 6 2
A K 9 7             T 8

1S-1N ("10-21, 5+ S, unBAL" \\ "8-10 TP, 3(4) S")
4S-P (contract \\ ---)
P

http://www.bridgebas.../66426-deal-38/

A 7 6 4 3           J T 8
A 8                 T 9 5 2 
K Q                 A T 8 7 
A J T 7             Q 9

1S-1N ("10-21, 5+ S, unBAL" \\ "8-10 TP, 3(4) S")
4S-P (contract \\ ---)
P

(Partially outdated) auction on deal # 6, 10, 34 and 38:

Spoiler

1M-2M ("10-21, 5+ M, unBAL \\ 3(4) M, constructive)
4M-P (to play \\ ok)

I play 2N+ over 1M-2M as an Unbal(M,♣) slam try except that 1M-2M; 4M is to play (and not a slam try with 6M5C11).

http://www.bridgebas...c/57987-deal-8/

A                   T 9 6 3
K 9 7 3             A 6
A K Q J 2           T 3
K J 2               Q T 9 7 4

1D-1H ("NATish unBAL OR 20-22 BAL" \\ "0+, (3)4+ S")
1S ("4+ H or 10-15, 13(54)")

[not finished]

Outdated auction (that might have worked better):

Spoiler

1♦-1♥ ("10+, NATish unBAL" OR "20-22 BAL" \\ "0+, 4+ S")
2♣-2♦ ("3c SUPP or 19-21" \\ relay, GF opposite "19-21")
2N-3♣ ("19-21", usually either 4+ H or 1-suited w/ 6+ D \\ relay)
3N-4♣ (1453 or 0454 \\ DCKCA)
4♦-4♥ (1453 \\ PKCA(♣))
4N-6♣? (odd # of KC(♣), no ♣Q \\ to play)
P

Responder knows that 6♣ must have some play, but unfortunatley he doesn't know it's also good.

http://www.bridgebas...c/58002-deal-9/

A K Q 4             6 2 
K Q 9 5 4           8 3 
J 7                 A 4 3
A 2                 K Q T 8 7 6 

1H-1N ("10-21, 5+ H, unBAL" \\ "5-12, NF")
2N-3C ("O4, either (3)4+ S or 1-suited" \\ relay)
3H-3S (4522, 4S6H(21), 4+S6+H0D or 3S8+H \\ relay)
3N-4D (4522 (and 19-21 hcp) \\ PKC(C))
4H-6C (even # of key cards \\ contract))
P

The contract fails on the lead of the DK (ducked!) followed by a heart switch. Almost every poster in the thread was able to stop in 3N.

http://www.bridgebas.../58090-deal-13/

A Q 3               J 5
Q J 8 6 2           K T 7 5 
A K Q T 8           J 9 
-                   A Q 7 5 4

1H-2C ("10-21, 5+ H, unBAL" \\ 3-way)
2S-2N ("O4, majority of hands" \\ GF relay)
3D-3H (18-20 hcp, either 5H5D or 5H5C2-D \\ relay)
3S-4D (5 D \\ relay, agreeing H)
4N-5C (3550, even # of key cards \\ trump Q ask)
5S-6H (trump Q, DK, no SK \\ contract)
P

Outdated auction:

Spoiler

1♥-2♣
2♠-2N ("19-21", any \\ relay)
3♥-3♠ (5H5m2-Om OR 0544 \\ relay)
4♣-4♥ (18-20, 5M5D2-C \\ CKCA(♥))
4N-5♣ (3550 \\ RPKC(♥))
5♦-6♥ (even # of KC(♥) \\ contract)
P

The 3♣+ structure over 1♥-2♣; 2♠-2N is initially "Unbal(♥)+1", so the 3♥,3♠,4♣ and 4♥ bids are 1 step higher than normal in Unbal(♥). 5♣ is RPKC(♥) instead of PKC(♥). (It might be better to play that Responder shows KCs over 4N instead of asking, since the partnership can then always find out about the ♥Q witout bypassing 5♥.)

9 Nov 2017: I've recently, as a contributor to straube's PCB threads, become more optimistic about playing +5(!!) symmetric over 1M-2♣; 2♠. Here's how it might work on this deal:

1♥-2♣
2♠-2N
3♣-3♦ (4+ D or 3-suited\\ relay)
3♠-3N (5+ D \\ relay)
4♠-4N (3550 \\ relay)
5♥-6♥ ((trying to show) odd # of kings, odd # of queens, no ♥K \\ contract)

31 Mars 2018:

1♥-2♣
2♠-2N ("19-21", shapes as in 3♣+ part of Unbal(♥,♣) \\ relay)
3♦-3♥ (5H5m2-Om or 0544 \\ relay)
3N-4♦ (18-20, 5H5D2-C \\ CKCA(♥))
4♠-4N (3550 \\ PKC(♥))
5♣-6♥ (even # of KC(♥) \\ contract)
P

http://www.bridgebas.../58135-deal-15/

A Q T 9 5 2         Q 
K Q 4               A 6 5 3 
A J                 K Q T 9 4 
Q T                 8 5 4 

1S-1N ("10-21, 5+ S, unBAL \\ "5-12, NF")
2C-2D (O1-O2, 4+ H OR O3 \\ "positive relay")
2N-3C ("O3, either 5+S(3)4+C (not 5S2-H5C) or 1-suited" \\ relay)
3D-3H (1-suited, not 8+S3O \\ relay)
4C-4D (6322 or 7222 \\ relay)
4H-4S (6322 (and 16-18 hcp) \\ to play)
P

Outdated (and wrong!) auction:

Spoiler

Bidding with South as dealer:

1♠-1N
2N-3♥ ("19-21", usually either 4+ C or 1-suited w/ 6+ S \\ SI, 5+ D, usually 1- S)
3♠-4♠ (1-suited, usually 2- D \\ suggestion)

http://www.bridgebas.../58147-deal-16/

A Q 6 3 2           9 4
A K 9 3             7
A K                 7 4 2
K 4                 A Q J 8 7 6 2 

2D-2S ("0-9, canapé preempt in S" OR "unBAL GF w/ primarily S" \\ to play opposite "0-9")
2N-3C ("O5, either 5+S(3)4+H (not 5S5H) or 1-suited" \\ relay)
3H-3S (5422, 6S4H(21), 6+S4+H0D or 8+S3H \\ relay)
3N-4D (5422 (and 22+ hcp)) \\ PKC(C))
4H-4N (even # of key cards \\ SK ask)
5C-5D (no SK \\ HK ask)
6C-7C (HK, DK, SQ, no HQ \\ contract)
P

Old auction:

Spoiler

2♦-2♠ ("0-9", canapé preempt in S OR "GF, 5+ S, unBAL" \\ to play opposite "0-9")
2N-3♣ ("GF, usually 4+ H or 1-suited \\ relay)
3♥-3♠ (usually 5422 or 6S4H \\ relay)
3N-4♦ (5422 \\ PKC(♣))
4♥-4N (even # of KC(♣) \\ ♠K ask)
5♣-5♦ (no ♠K \\ ♥K ask)
6♦-7♣ (♥K + ♦K + ♠Q, no ♥Q \\ contract)
P

http://www.bridgebas.../58178-deal-18/

A Q J 4             8 7 6 
7                   A Q J 3 2
A K Q               T 9 6
K J 8 6 5           T 2

1C-1D ("NATish unBAL OR 11-13/17-19/26+ BAL" \\ "0+, 4+ H")
1S ("4+ S or 10-15, 31(54)")

[not finished]

Outdated auction:

Spoiler

1♣-1♦ ("10+, NATish unBAL" OR "11-13/17-19/26+ BAL" \\ "0+, 4+ H")
2♦-2♠ ("19-21 unBAL" \\ GF relay)
2N-3♣ (usually 4+ S or 1-suited \\ relay)
3N-P (4135/4045 \\ ok)

http://www.bridgebas.../58191-deal-19/

J 3                 A K T 
J                   A K Q T 4 2 
A K J T 5           9 3
A K T 9 3           8 4

1D-1S ("NATish unBAL OR 20-22 BAL" \\ "0+, (3)4+ H")
1N-2C (O1, 2-S3-H6+D OR O1-O2, 2-S5D5C OR O3 OR 20-22 BAL \\ "positive relay")
3D-3S (O3, either 4H4D(41), 4450 or 2-H5D5C \\ "6+ H")

[not finished]

Outdated auction:

Spoiler

1♦-1♠ ("10+, NATish unBAL" OR "20-22 BAL" \\ "0+, 4+ H")
1N-2♣ ("10-12/16-18, 2- H" OR "20-22 BAL" \\ "8+, relay")
3♦-3♠ (15-17, 2-H5D5C OR "20-22", 4342/4252 \\ 6+ H)
4♥-4♠ (1525, singleton honour(?) \\ PKC(♥))
4N-5♦ (even # of KC(♥) \\ ♣K ask)
5N-7♥ (♣K + ♦K, no ♣Q \\ contract)
P

I had to change my system a bit to be able to bid this. Note that 3♦ isn't "standard" E(♦,♥) here. There's nothing systemic about the 4♥ bid, btw, except that I tend to cuebid in similar situations with genuine support (in this case, doubleton H).

http://www.bridgebas.../66246-deal-26/

A K Q 5 3           2
A T                 K J 9 7 5 2
K J 7 2             T 5 4 
A 4                 K 6 2 

2D-2H ("0-9, canapé preempt in S" OR "unBAL GF w/ primarily S" \\ "P/C opposite 0-9 OR INV, 3-S5+H")
3C-3C ("O5, 5+S(3)4+D, not 5S5D)" \\ "6+ H")
4C-4S (cuebid agreeing H \\ PKC(H))
5C-5H (odd # of key cards, no trump Q \\ contract)
P

http://www.bridgebas.../66255-deal-27/

A K Q 8 2           9 6
8                   A J 9 4 2
A Q J               8 
A K Q 5             J 9 8 6 2 

2D-2H ("0-9, canapé preempt in S" OR "unBAL GF w/ primarily S" \\ "P/C opposite 0-9 OR INV, 3-S5+H")
2N-3C ("O5, either 5+S(3)4+C (not 5S2-H5C) or 1-suited" \\ relay)
3N-4D (5134 or 5044 (22+ hcp in both cases) \\ slam try with known C fit)
4S-4N (5134, even # of key cards \\ trump Q ask)
5H-5S (trump Q, SK, no DK \\ SQ ask)
6D-7C (SQ, DQ, no SJ \\ contract)
P

Oudated auction:

Spoiler

2♦-2♥ ("0-9", canapé preempt in S OR "GF, 5+ S, unBAL" \\ to play opposite "0-9", 4+ H OR INV, 3-S5+H)
2N-3♣ ("GF, usually either 4+ C or 1-suited \\ relay)
3N-4♣ ( 5134/5044 \\ CKCA(♣))
4♦-4♥ (5134 \\ PKC(♥))
4♠-4N (even # of KC(♣) \\ ♣Q ask)
5♥-5♠ (♣Q + ♠K, no ♦K \\ ♠Q ask)
6♦-7♣ (♠Q + ♦Q, no ♠J \\ contract)
P

http://www.bridgebas.../66293-deal-30/

K 7 6 4 3           Q 9 2
A K 7               Q 8
A K Q 9             6 3
5                   K Q J T 8 6

1S-2C ("10-21, 5+ S, unBAL \\ 3-way)
2D-2S (O1 OR O4, some hands \\ LR in S)
2N-3C ("O1, either 5+S(3)4+C (not 5S2-H5C) or 1-suited" \\ relay)
3S-4S (5341 (and 19-21 hcp) \\ contract)
P

Outdated auction:

Spoiler

1♠-2♣
2♠-2N ("19-21, 5+ S, unBAL" \\ relay, F4N)
3♦-3♥ (usually 5S4D or 6+S4+D \\ relay)
4♣-4N (5341 \\ contract)
P

Again, the relay structure after 2♠ is +1 initially.

9 Nov 2017: Using the +5(!!) symmetric method I'm currently experimenting with:

1♠-2♣
2♠-2N ("19-21" \\ relay)
3♣-3♦ (4+ D or 3-suited \\ relay)
4♦-4♥ (5341 \\ relay)
5♦-5N ((trying to show) odd # of kings, no ♣K, odd # of queens outside C, no ♠Q \\ contract)

31 Mars 2018:

1♠-2♣
2♠-2N ("19-21", shapes as in 3♣+ part of Unbal(♠,♣) \\ relay)
3♣-3♦ (usually 4+ D, but not 5S5D \\ relay)
3N-P (5341 \\ ---)

http://www.bridgebas.../66321-deal-32/

K                   J 9 6 3 
A Q J T 6           K 9 3
Q T 3               J 9 8 5
A K 8 3             T 9

1H-1N ("10-21, 5+ H, unBAL" \\ "5-12, NF, bad 3c raise possible")
2C-2H ("13-15, 5 H" or "16-18, any" \\ "5-7, 2 H" or bad 3c raise)
P,

if as much as a whole point is subtracted for the singleton king (which I believe is correct).

Outdated auction:

Spoiler

1♥-1N ("10-21, 5+ H, unBAL" \\ "5-12, NF, bad 3c raise possible")
3♠-4♥ ("19-21", 1534/0535 \\ contract)
P

http://www.bridgebas.../66458-deal-41/

A Q 9 4 2           K T 8 5
9                   J 8 7 5 3 
A                   K Q 3
A K Q 8 6 2         H

Without a 2D overcall by South:

I think West's hand is marginally too weak to meet the rule of 31, so:

1C-1D ("NATish unBAL OR 11-13/17-19/26+ BAL" \\ "0+, 4+ H")
1S ("4+ S or 10-15, 31(54)")

[not finished]

Outdated auction:

Spoiler

1♣-1♦
2N-3♣ ("22+", usually 4S3-H5C, 4S6C or 1-suited w/ 6+ C \\ relay)
4♥-5♦ (5116 \\ RPKC(♠))
5♠-6♠ (odd # KC(♠) \\ contract)
P

http://www.bridgebas.../66502-deal-44/

A J T               K Q 8 6 3
A K Q 9 7 3 2       4
3                   K J 7 2
A K                 T 7 5

Auction with some fresh ideas:

2C-2D ("0-9, usually 6M3OM or 5M3-OM4+m" OR "22+, 5+ H, unBAL" \\ relay, often awkward hand with < INV values)
2N-3C ("22+, usually 3-S5H4C, 6+H4+C or 1-suited w/ 6+ H" \\ relay)
3D-3H (1-suited, not 8+H3O \\ relay)
4H-5S (37(21) \\ odd # of key cards with hidden, trump Q, S is trumps)
6S-P (contract \\ ---)

Outdated(?) auction:

Spoiler

System 1st seat NV:

2♣-2♦ ("0-9, usually 6M3OM or 5M3-OM4+m" OR "22+, 5+ H, unBAL" \\ relay, often INV+ or afraid of misfit)
2N-3♣ ("22+, usually 3-S5H4C, 6+H4+C or 1-suited w/ 6+ H" \\ relay)
3♦-3♠ (1-suited \\ 5S1-H)
4♣-4N (cue agreeing S \\ PKC(♠))
5♦-6♠ (odd # of KC(♠), no ♠Q \\ contract)
P

There should really be no weak option in 2♣ in 4th seat, but...

http://www.bridgebas.../66525-deal-45/

A Q J 8 2           T 
A Q T 7 5 4         J 6
K 7                 A J 9 8 6
-                   Q 9 8 6 4

1H-1N ("10-21, 5+ H, unBAL" \\ "5-12, NF")
2C-2D (O2, either 5 H or 5S6+H OR O3 \\ positive relay)
2N-3C ("O3, either (3)4+ S or 1-suited" \\ relay)
4S-? (5620 (and 14-16 hcp) \\ ?)

[not finished]

Spoiler

1♥-1N ("10-21, 5+ H, unBAL" \\ "5-12, NF, bad 3c raise possible)
2♣-2♦ ("13-15, 5 H" OR "16-18, any" \\ "8+", relay)
2N-3♣ ("16-18, usually 4S5H, 4+S6+H or 1-suited \\ relay)
4♠-5♥ (14-16, 5620 \\ contract))
P

(blush)

http://www.bridgebas.../66536-deal-46/

A T                 K 9 5 
4                   K Q T 7 4 
A K 7 5 3           J T 9 6 4
A J T 8 4           -

1D-1S ("NATish unBAL OR 20-22 BAL" \\ "0+, (3)4+ H")
1N-2C (O1, 2-S3-H6+D OR O1-O2, 2-S5D5C OR O3 OR 20-22 BAL \\ "positive relay")
3D-3H (O3, either 4H4D(41), 4450 or 2-H5D5C \\ relay)
3S-4D (2-H5D5C \\ slam try in D)
4N-6D (2155 (and 15-17 hcp), even # of key cards \\ contract)
P

Or, using an old gadget (4H+):

1D-1S ("NATish unBAL OR 20-22 BAL" \\ "0+, (3)4+ H")
1N-2C (O1, 2-S3-H6+D OR O1-O2, 2-S5D5C OR O3 OR 20-22 BAL \\ "positive relay")
3D-4H (O3, either 4H4D(41), 4450 or 2-H5D5C \\ D support, slam interest, either C void or no void)
4S-4N (1st round control in C \\ even # of KC outside C)
6D-P (contract \\ ---)

Outdated auction:

Spoiler

1♦-1♠ ("10+, NATish unBAL" OR "20-22 BAL" \\ "0+, 4+ H")
1N-2♣ ("10-12/16-18, 2- H" OR "20-22 BAL" \\ "8+, relay")
3♦-3♥ (15-17, 2-H5D5C OR "20-22", 4342/4252 \\ relay)
3♠-4♦ (2-H5D5C \\ CKCA(♦))
4N-6♦ (2155, even # of KC(♦) \\ contract)
P

Not very elegant...

http://www.bridgebas.../66552-deal-47/

A Q 6 3             K J 7 2 
A 9                 J T  
A Q J 8 5 3         K 9 7 4
K                   Q J 8

Without intervention:

1D-1H ("NATish unBAL OR 20-22 BAL" \\ "0+, (3)4+ S")
2C-2D ("O1-O2, 3c SUPP OR O4, unBAL" \\ INV+ relay)
3H-3H (O4, 4252, 4S6D(21), 4+S0H6+D or 3S8+D \\ relay)
4D-4N (4S6D(21) (and 18-20 hcp) \\ PKC(S))
5H-6S (odd # of key cards, trump Q, no DK \\ contract)
P

Outdated auction:

Spoiler

1♦-1♥ ("10+, NATish unBAL" OR "20-22 BAL" \\ "0+, 4+ S")
2♣-2♦ ("10-18, 3 S, unBAL" OR "19-21 unBAL" \\ relay, GF opposite "19-21")
3♥-3♠ ("19-21",either 4252 or 4S6D \\ relay)
4♦-4♥ (18-20, 4261 \\ PKC(♠))
5♣-6♠ (odd # of KC(♠) + ♠Q, no ♦K \\ contract)
P

(Currently incomplete) overview of situations where the above relay structure is used:

Spoiler

1♣-[1M-1]; 2N+ = "22+", Unbal(♣,M)
1♣-1♠/N; 2N+ = "22+", Unbal(♣,♦)
1♦-1OM; 2♣-2♦; 2N+ = "19-21", Unbal(♦,M)
1♦-1OM; 2N+ = "22+", Unbal(♦,M)
1♦-1N; 2N+ = "22+", Unbal(♦,♣)
1♥-1♠; 1N-2♣; 2N+ = "16-18", Unbal(♥,♠)
1♥-1♠; 2N+ = "19-21", Unbal(♥,♠)
1♥-1N; 2♣-2♦; 2N+ = "16-18", Unbal(♥,♣)
1♥-1N; 2N+ = "19-21", Unbal(♥,♣)
1♠-1N; 2♣-2♦; 2N+ = "16-18", Unbal(♠,♥)
1♠-1N; 2N+ = "19-21", Unbal(♠,♥)

1♣-[1M-1]; 1M-2♣("GF, 5+ M, unBAL"); 2♦-?: / 1♣-1♠; 1N-2♣("GF, 5+ D, unBAL"); 2♦-?: / 1♣-2♣("GF, 5+ C, unBAL)"; 2♦-?:

If x is the suit shown by Responder then

2♥ = a) "13-15" b) "19+", shape suitable for 2N in Unbal(x,s)
...2♠ = relay (GF), slam interest also opposite "13-15"
......2N+ = Unbal(x,s) [Responder assumes "13-15"]
...2N = relay, slam interest only opposite "19+"
......3♣ = "13-15"
......3♦+ = "19+", same as 3♦+ over 2N-3♣ in Unbal(x,s)
...(...)
2♠ = "19+", shape unsuitable for 2N in Unbal(x,s)
...2N = relay (GF)
......3♣+ = same as 3♣+ in Unbal(x,s)
...(...)
2N+ = "16-18", Unbal(x,s),

where s=Om if x=m and s=♣ if x=M.


1♦-2♣; ?:

2♦ = a) "10-12" b) 20-22 BAL
...2♥ = GF relay
......2♠ = 20-22 BAL
......2N+ = Unbal(♦,♣)
...(...)
2♥ = c) "13-15" d) "19+", shape suitable for 2N in Unbal(♦,♣)
...2♠ = relay (GF)
......2N+ = Unbal(♦,♣) [Responder assumes "13-15"]
...2N = relay, slam interest only opposite "19+"
......3♣ = "13-15"
......3♦+ = "19+", same as 3♦+ over 2N-3♣ in Unbal(♦,♣)
...(...)
2♠ = "19-21", shape unsuitable for 2N in Unbal(♦,♣)
...2N = relay (GF)
......3♣+ = same as 3♣+ in Unbal(♦,♣)
...(...)
2N+ = "16-18", Unbal(♦,♣)


1M-2♣; ?:

2♦ = "10-12"
...(...)
...2♠ = GF relay
......2N+ = Unbal(M,♣)
...(...)
2♥ = a) "13-15" b) "19-21", shape suitable for 2N in Unbal(M,♣)
...2♠ = GF relay, slam interest also opposite "13-15"
......2N+ = Unbal(M,♣) [Responder assumes "13-15"]
...2N = relay, slam interest only opposite "19-21"
......3♣ = "13-15"
......3♦+ = "19-21", same as 3♦+ over 2N-3♣ in Unbal(M,♣)
...(...)
2♠ = "19-21", shape unsuitable for 2N in Unbal(M,♣)
...2N = relay (GF)
......3♣+ = same as 3♣+ in Unbal(M,♣)
...(...)
2N+ = "16-18", Unbal(M,♣)

[17 June 2018:

The above doesn't quite work, because Responder can never safely pass over

...2♥("13-15")-2♠; 2N-3♣; (3♥-3♠; ) 3N,

since he doesn't know whether Opener has "13-15" or "19+"/"19-21". [23 Sept 2019: This would no longer be the case when x=m if 19-21, 5m4O22 were treated as 20-22 BAL instead.]

A better solution, I think:

1♣-[1M-1]; 1M-2♣("GF, 5+ M, unBAL"); 2♦-?: / 1♣-1♠; 1N-2♣("GF, 5+ D, unBAL"); 2♦-?: / 1♣-2♣("GF, 5+ C, unBAL)"; 2♦-?:

If x is the suit shown by Responder then

b) "19+", shape suitable for 2N in Unbal(x,s)

1♣-2N; 3♣-3♦+ = "19+", same as 3♦+ over 2N-3♣ in Unbal(♣,♦)
1♣-1♠; 1N-3♦+ = "19+", same as 3♦+ over 2N-3♣ in Unbal(♦,♣)
1♣-[1M-1]; 1M-3♦+ = "19+", same as 3♦+ over 2N-3♣ in Unbal(M,♣)

2♥ = "13-15"
...2♠ = relay (GF)
......2N+ = Unbal(x,s)
...(...)
2♠ = "19+", shape unsuitable for 2N in Unbal(x,s)
...2N = relay (GF)
......3♣+ = same as 3♣+ in Unbal(x,s)
...(...)
2N+ = "16-18", Unbal(x,s),

where s=Om if x=m and s=♣ if x=M.

1♦-2♣; ?:

2♦ = a) "10-12" b) "20-22 BAL" c) "19+", shape suitable for 2N in Unbal(♦,♣)
...2♥ = relay (GF) w/ some SI opposite a)
......2♠ = b)
......2N+ = Unbal(♦,♣)
...2♠ = relay (GF) w/ no SI opposite a)
......2N = b)
......3♣ = a)
......3♦+ = c), same as 3♦+ over 2N-3♣ in Unbal(♦,♣)
...(...)
2♥ = "13-15"
...2♠ = GF relay
......2N+ = Unbal(♦,♣)
...(...)
2♠ = "19-21", shape unsuitable for 2N in Unbal(♦,♣)
...2N = relay (GF)
......3♣+ = same as 3♣+ in Unbal(♦,♣)
...(...)
2N+ = "16-18", Unbal(♦,♣)

[10 December 2109: Much better, and using the fact that Responder is unBAL if GF:

1♦-2♣; ?:

2♦ = a) "10-12" b) "20-22 BAL" c) "19+", shape suitable for 2N in Unbal(♦,♣)
...2♥ = relay (GF), but always unBAL w/ either primarily C or 5D5C
......2♠ = b) or c)
.........2N+ = Unbal(♣,♦), except that
.........3♦ = 5D5C
......2N+ = a), Unbal(♦,♣)
...2♠ = unBAL w/ primarily D, but not 5D5C
......2N = relay
......(...)
...(...)
[10 August 2021: Idea:
...2♥ = primary C and either "13-15" or "19+"
......2♠ = b) or c)
.........2N+ = Unbal(♣,♦) with exception as above [and Opener is strong enough to not care whether Responder has "13-15" or "19+"]
......2N+ = a), Unbal(♦,♣)
...2♠ = as above
...2N+ = "16-18", Unbal(♣,♦) with exception as above]
2♥ = "13-15"
...2♠ = GF relay
......2N+ = Unbal(♦,♣)
...(...)
2♠ = "19-21", shape unsuitable for 2N in Unbal(♦,♣)
...2N = relay (GF)
......3♣+ = same as 3♣+ in Unbal(♦,♣)
...(...)
2N+ = "16-18", Unbal(♦,♣)
]


1♥-2♣; ?:

2♦ = a) "10-12", accepts opposite LR in H b) "13-15" c) "19-21", shape suitable for 2N in Unbal(♥,♣)
...2♥ = GF relay w/ some SI opposite a) or b) if 3+ H
......2♠ = a) or c)
.........2N = relay
............3♣ = a)
............3♦+ = "19-21", same as 3♦+ over 2N-3♣ in Unbal(♥,♣)
.........(...)
......2N+ = "13-15", Unbal(♥,♣)
...(...)
...2N = < SI opposite a) or b), 3+ H /
......3♣ = a) or b)
......3♦+ = "19-21", same as 3♦+ over 2N-3♣ in Unbal(♥,♣)
...(...)
2♥ = "10-12", rejects opposite LR in H
...P = was INV w/ H SUPP
...2♠ = GF relay
......2N+ = Unbal(M,♣)
...(...)
2♠ = "19-21", shape unsuitable for 2N in Unbal(♥,♣)
...2N = relay (GF)
......3♣+ = same as 3♣+ in Unbal(♥,♣)
...(...)
2N+ = "16-18", Unbal(♥,♣)


1♠-2♣; ?:

2♦ = a) ? (maybe 11-13, 5233?) b) "10-12" c) "19-21", shape suitable for 2N in Unbal(♠,♣)
...2♥ = GF relay w/ some SI opposite a) or b) if 3+ S
......2♠ = a) or c)
.........2N = relay
............3♣ = a)
............3♦+ = "19-21", same as 3♦+ over 2N-3♣ in Unbal(♠,♣)
.........(...)
......2N+ = "10-12", Unbal(♠,♣)
...2♠ = LR in S
...2N = < SI opposite a) or b), 3+ S /
......3♣ = a) or b)
......3♦+ = "19-21", same as 3♦+ over 2N-3♣ in Unbal(♠,♣)
...(...)
2♥ = "13-15"
...2♠ = GF relay
......2N+ = Unbal(♠,♣)
...(...)
2♠ = "19-21", shape unsuitable for 2N in Unbal(♠,♣)
...2N = relay (GF)
......3♣+ = same as 3♣+ in Unbal(♠,♣)
...(...)
2N+ = "16-18", Unbal(♠,♣)


2♣-2♦; 2N+ = "22+", Unbal(♥,♠)
2♣-2♥; 2N+ = "22+", Unbal(♥,♠) (if strong)
2♣-2♠; 2N+ = "22+", Unbal(♥,♣) (if strong)
2♦-2♥; 2N+ = "22+", Unbal(♠,♥)
2♦-2♠; 2N+ = "22+", Unbal(♠,♣)