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3. 1D OPENING

REQUIREMENT: 10-14 HCP, 4+H, may have longer suit, may be three-suited with both majors

The relay structure retains the essential symmetric nature of the 1C relay structure, but uses one step to give a first-round minimum/maximum indication. Opposite a minimum, a minimal invitational relay will consider signing off or making a further invitational natural bid. The appropriate definitions are:
Minimum hand: any 10-12 HCP hand that does not have a 7-card suit, or at least 10 cards in its two longest suits (i.e. the hand is 5332, 6322, 6331, 5422, 5431, 4441 or 5440 shape).
Maximum hand: any 13-14 HCP hand or any hand with a 7-card suit, or any hand with at least 10 cards in its two longest suits (i.e. including all 55, 64 and higher shapes).
After the minimum response the relay structure is adapted to reflect the reduced number of shapes available to the hand. Thus it is important not to judge to downgrade one of the "maximum" hand shapes. There is no subsequent minimum/maximum response in the relay structure.
With maximum hands a game-force is established and the relay structure is identical to the 1C relay structure. The minimum/maximum response is still given for "maximum shapes" (55, 64, 7-card) because their HCP range is still 10-14, however for the less shapely hands, there is no later minimum/maximum response since the hand is constrained to 13-14 HCP already.

RESPONSES SUMMARY

Pass To play in diamonds
1H RELAY - at least invitational to game, does not imply support
1S Natural 4+ spades, non-forcing, 0-11
1NT Balanced or semi-balanced, forcing, 0-11
2C Natural, 5+ clubs, non-forcing, 0-11
2D Natural, 5+ diamonds, non-forcing, 0-11
2H 8 - 10 HCP, 3 or 4 hearts
2S Fit showing jump with spades, invitational in hearts
2NT At least 5-5 minors, 0-11
3C Fit showing jump with clubs, invitational in hearts
3D Fit showing jumps with diamonds, invitational in hearts
3H Pre-emptive
3S Pre-emptive with at least nine cards in H + S
3NT To play
4C Pre-emptive with at least nine cards in H + C
4D Pre-emptive with at least nine cards in H + D

After 1D-1H

1S Any minimum hand.
1NT Maximum, 4+ S, may be three-suited with both majors
2C Maximum, 4+ D
2D Maximum, 4+ C, 5+ H
2H Maximum, reverser, 5+ C, 4 H
2S Maximum, high shortage (S), 5+H, etc.

Note: The normal relay structure continues, subject to the constraints on minimum/maximum responses as discussed above, and that the lowest control-showing response is 0-2 controls with a subsequent ask for 0,1 or 2.

After 1D-1H-1S-1NT (R)

1NT is a natural forcing bid in view of a minimum hand with opener. Opener is expected to correct to any 5 or 6-card suit, which responder is likely to pass. Further bidding is not constructive.

After 1D-1H-1S-2C (R)

2C is a forcing relay, but does not quite force to game, since opener's shape is still nebulous. The relay structure is roughly symmetric but shifted up two steps. The single-suited (and three-suited) relay structures are simply shifted up two steps and truncated at 6331 shape. In the two-suited structures, some steps are omitted because 55, 64 and 74 hands are impossible. These structures do not make "symmetric" bids, but use the same order of shape-showing as the normal two-suited structures.
Any subsequent non-relay bid by responder is invitational in the context of the auction.

2D 4+S, may be three-suited with both majors
2H 4+D
2S 4C, 5H
2NT Reverser, 5C, 4H
3C High (S) shortage, 5-6H
3D Middle (D) shortage, 5-6H
3H Even shortage, 3622 shape
3S Low shortage, 3532 shape
3N Low shortage, 3631 shape, 0-2 controls, etc.

After 1D-1H-1S-2C-2D-2H (R)

2S Three-suiter, both majors (see 1C relay structure section 2.4 for three-suited continuations)
2NT Reverser, 4S, 5H
3C High shortage (D) 5413
3D Even shortage, 5422
3H Low shortage (C), 5413, 0-2 controls, etc.

After 1D-1H-1S-2C-2D-2H-2N-3C (R)

3D High shortage (D) 4513
3H Even shortage, 4522
3S Low shortage (C), 4513, 0-2 controls, etc.

After 1D-1H-1S-2C-2H-2S (R)

2N Reverser, 5D, 4H
3C High shortage (S), 1543
3D Even shortage, 2542
3H Low shortage (C), 3541, 0-2 controls, etc.

After 1D-1H-1NT-2C (R)

2D Three-suited, both majors (see 1C relay structure for three-suited continuations)
2H Reverser, 5+ H, 4S
2S 5/5, H + S
2NT 5+S, 4H, high shortage, etc.

After 1D-1H-2C-2D(R)

2H Reverser, 5+D, 4H
2S 5/5, H +D
2NT 5+H, 4D, high shortage, etc.

After 1D-1NT (R)

1NT is a natural forcing bid made by a balanced or semibalanced hand with no clear fit for hearts and no clear suit to bid. Opener is expected to correct to any 5 or 6-card suit, which responder is likely to pass.
In particular limited balanced hands with potential moysian heart fits should respond 1NT rather than 2H as any eight card fit will always be found after the 1NT response. For example with 5431 with opener and 3334 with responder, the auction 1D-1N-2S is clearly superior to 1D-2H. Responding hands such as 2326 with a weak suit are often best treated with 1NT also.
Further bidding is not constructive.

After 1D-2H

2NT Inquiry (not used by ces and mabraham)
  3C minimum with clubs, 3 hearts
  3D minimum with diamonds, 3 hearts
  3H minimum with 4 hearts
  3S maximum with spades, 3 hearts
  3NT maximum with 3 hearts
  4H maximum (9 or 10) with 4 hearts
2S, 3C, 3D Long suit trials
3H, 4H Preemptive re-raises, not constructive