Don't forget that you can use 1N-3
to find a 5-3 major suit fit.
Below is I think a good schedule of responses to cater for all hand types opposite 1N. I hope there are no typo's
Summary of responses to 1NT i
Weak hands
5+♥/♠ Transfer 2♦/♥
5♠+4♥ 2♣ Stayman and over 2♦ bid 2♠
4♠+5♥ 2♣ Stayman and over 2♦ bid 2♥
6+♣/♦ Transfer 2♠/NT or pass with no singleton
4351 or 4450 2♣ Stayman and pass re-bid
55m 2NT and pass 3♣ or 3♦ re-bid
Other balanced Pass
Invitational hands
5♥/♠ Transfer 2♦/♥ Then 2NT
5♠+4♥ 2♣ Stayman and over 2♦ bid 2♠ forcing to 2NT
4♠+5♥ Transfer 2♦ to 2♥ then bid 2♠
6+♣/♦ Transfer bid 2♠ with 6+♣ (The 1NT opener rebids 3♣ with ♣Qxx or better)
Transfer bid 2NT with 6+♦ (The 1NT opener rebids 3♦ with ♦Qxx or better)
43M51 or 44M50 2♣ Stayman and raise if 4-4M otherwise pass re-bid
55m 2NT and pass 3♣ or 3♦ re-bid
6♥ 2♦>2♥>3♥
6♠ 2♥>2♠>3♠
Other balanced Pass
Game forcing hands
5♥ 332 Transfer 2♦, then 3NT over 2♥. Opener then judges final spot
5♠ 332 Transfer 2♥, then 3NT over 2♠. Opener then judges final spot
5♥ 4♠ 2♣ Stayman, then over 2♦ bid 3♠. (Smolen)
4♥ 5♠ 2♣ Stayman, then over 2♦ bid 3♥. (Smolen)
55M Transfer 2♥, then over 2♠ bid 3♥
55m 3♦ = 55+ m.
5♥ + 4m 2♦-2♥-3m
5♠ + 4m 2♥ -2♠-3m
4♥ + 5m 2♣ Stayman, then over 2♦ or 2♠ bid 3m
4♠ + 5m 2♣ Stayman, then over 2♦ or 2♥ bid 3m
3♠+1♥ +54m 3♥ splinter,
3♥+1♠ +54m 3♠ splinter
4M +6m 2♣ Stayman, then if partner does not hit your 4M bid 3m
6♣ 331 2♠> (2N or 3♣) > 3♦♥♠ = singleton
6♦ 331. 2NT>(3♣ or 3♦) > 3♥♠ = singleton
3M+ 2OM 3♣ 5 card Stayman6+♥ no slam interest 4♦ Texas
6+♠ no slam interest 4♥ Texas
6+♥ slam interest 2♦>2♥>4♥
6+♠ slam interest 2♥>2♠>4♠