Update to Kaplanville
Since the last post I've tinkered with the mappings, to produce the following. To see this with suit symbols, see:
http://forums.bridgebase.com/index.php?act=ST&f=6&t=13308&st=17
The structure, keeping 2[CL] rebid for a minor or balanced, often 15+.
After 1[HE]-1[SP]:
1NT: Maximum of 14. Balanced or with exactly a four card minor (not 0-5-4-4). Now 2m is to play, 2[SP] is an artificial game force, 2[HE] an invite with 2[HE]s and (or poor invite with 3[HE]s), 3X natural invite.
2[CL]: Four or longer minor and 14/15+, or five or longer minor any strength, or 0-5-4-4 any strength or 15+ balanced. Structure below.
2[DI]: 4+[SP]s, up to 16 (not 5[SP]s if 14-16).
2[SP]: 4+[SP]s, 16/17-18 if 4[SP]s, 14-16 if 5+[SP]s.
2NT: 6/7[HE]s and no void/small singleton 19+, or 5+[HE]s and 4+[SP]s and 19+. Now 3[HE] asks if 4[SP]s, with 3[SP] saying yes and 3NT no. 3[CL] asks hand type, with 3NT denying 4[SP]s and 3X shape showing with 4[SP]s (3[DI] if 4-5-2-2). 3NT is to play, 3[DI] shows long [CL]s and 3[SP] shows long [DI]s.
3[CL]/[DI]: 16/17+ with 6+[HE]s and void/small singleton in suit bid and no other four card or longer suit. 3[HE] is non-forcing but opener bids again with extras.
3[HE]: 16/17-18 with 6+[HE]s, no singleton or [SP] void/small singleton and no other four card or longer suit. 3[SP] asks if short, 3NT says no.
3[SP]: 18/19+ with 6+[HE]s and [SP] void/small singleton and no other four card or longer suit.
3NT: 18+ with solid suit, stoppers or semi-stoppers in other suits.
4[CL]/[DI]: Distributional 6-5 or better, good playing value but not strong.
After 1[HE]-1[SP]--2[CL]:
Pass: Possible with long [CL]s and awful hand.
2[DI]: Up to 9, 4+[DI]s or 3[DI]s and short [HE]s. If 6+[DI]s quite weak Now:
**** Pass: 4+[DI]s, no game interest.
**** 2[HE]: 4[CL]s with 15-18 or 5+[CL]s up to 16 or balanced 15-18. 3[CL] to play and 3[DI] weak with long [DI]s. 2NT is a non-forcing game try with 4/5[CL]s. 2[SP] asks, 2NT shows 15-16, 3[CL] 5-5 not max, 3[DI] if 4[CL]s 17-18, 3[HE] if 6-4, 3[SP] if 5-5 maximum, and 3NT if 17-18 balanced.
**** 2[SP]: 4+[DI]s and game interest, forcing just to 2NT.
**** 2NT: Balanced or semi-balanced hand with good game interest, about 18/19-20.
**** 3[CL]: 18/19+ game force with 4+[CL]s. 3[DI] asks hand type.
**** 3[DI]: 17/18+ game force with 5+[DI]s.
**** 3[HE]: 6+[HE]s and 4+[DI]s, game forcing (bid 2[SP] first if lesser values).
**** 3[SP]: 5-5+ with [CL]s, game force.
**** 3NT: To play.
2[HE]: Up to 9, 2[HE]s & 4-5[CL]s. Now:
**** Pass: 4+[DI]s or balanced, no game interest.
**** 2[SP]: Shows [CL]s suit or fragment, could be 2 or 3 only if game force. Asks responder to bid 2NT if maximum, 3[CL] if minimum, then opener bids 3[CL] to signoff (or passes 3[CL]) or bids 3X to shape out, 3[DI] being a suit or a stopper.
**** 2NT: Balanced or semi-balanced hand with game interest, about 17-18.
**** 3[CL]: 3[CL]s (often with 4+[DI]s), game invite.
**** 3[DI]: 5+[DI]s game invite.
**** 3[HE]: Game invite with 6[HE]s.
**** 3[SP]: 5-5+ with [DI]s, game force.
**** 3NT: To play.
2[SP]: Most hands with 9/10+ (see 2NT and 3[HE]+ alternatives). Now:
**** 2NT asks, not super shapely except can be 5-5 non-game force with [CL]s. Responder bids:
******** 3[CL]: Nothing to say. Now opener can pass if minimum 5-5 or bid 3NT to play, or bids 3[HE] to show [CL]s or 3[SP] to show [DI]s or re-asks with 3[DI]: 3[HE] says fairly flat, and now 3[SP] asks if extras (3NT=no), 3[SP] shows 5[DI]s, 3NT shows 6+[DI]s with 3[CL]s.
******** 3[DI]: 6+[DI]s and fewer than 3[CL]s.
******** 3[HE]: 5[CL]s. 3[SP] asks if 4[DI]s (3NT says no).
******** 3[SP]: 6+[CL]s.
******** 3NT: Maximum without 5+[CL]s. Opener can now continue with natural slam try.
******** 4[CL]: 6+[CL]s and 4+[DI]s.
******** 4[DI]: 6+[DI]s and 4[CL]s.
**** 3[CL] shows 5-5 in the reds, not forcing - responder can pass with long [CL]s or bid 3[DI] with a fit/semi-fit.
**** 3[DI] shows 4+[DI]s, game force, and either 5-5 or 6-4. 3[HE] asks, and 3[SP] shows 5-5, all other bids showing 6-4 or better.
**** 3[HE] shows 4+[CL]s, game force, and either 5-5 or 6-4. 3[SP] asks, and 3NT or 4[CL] shows 5-5 (the latter with considerable extras), all other bids showing 6-4 or better.
**** 3[SP] shows weak doubleton [SP] or shorter, asks partner to bid 3NT with [SP]s stopped or to explore for a best minor suit game or slam.
**** 3NT to play, responder should pass even with 12.
**** 4[CL]/[DI] with big 6-5+.
**** 4[HE] with 6+[HE]s, 4[CL]s and 18/19+.
2NT: 10+ with 4-2-2-5 exactly and a hand that wants to play 2NT opposite 5[DI]s up to 13.
**** 3X is now natural and forcing to 3NT or 4X.
3[CL]/[DI]: Six or longer suit, up to bad 9. 3X by opener is now forcing to 3NT.
3[HE]: Game invite with 3[HE]s. Opener only passes with minimum 5-5.
3[SP]: 5-5 in the minors, 9/10+.
3NT: Game going with 3[HE]s - offers opener the chance to try for slam by cuebidding.
4[CL]/[DI]: 6-5 or better in the minors, 9/10+.