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Posted By: Nack Ballard
Date: Wednesday, 15 December 2010, at 6:47 a.m.

In Response To: Need assistance Nactating these opening reply doublets… (Justin N.)

Thanks to encouragement from many of you, I am hard at work on the Nactation tutorial update, which includes explanations of a few refinements to the system.

While Nactation is typically easier with the liberal application of "assumption," I always try to explain strict usage as well. Both are useful.

Strictly speaking, every letter has a "family" with a hierarchy of members. The capital letter is primary, and the lower-case letter is secondary.

[If necessary, those are followed by italics, underlining and/or even emboldening, for up to 16 members per letter. But don't worry. While on occasion, you'll find the second or third member useful, you're unlikely to delve deeper unless you have cause to nactate a conceptually hopeless play (e.g., in a puzzle solution with massive blotting).]

For most letters, the hierarchy is determined by the "hit/most/6" rule. This is a priority summary of three conventions, in this order:

(1) "Hit" convention: Hit if you can.
(2) "Most points" convention: Make or keep the most points possible.
(3) "6pt" convention: Closest to 6pt.

(I added the hit convention a couple months ago. It's very natural, and it further helps the capital letter to be assigned to the best play.)

Remember hit/most/6.


Justin's notes below are indented. My answers are flush left.

    21$ or 41$ or 51$ or 62$, followed by 22 played 24/20* 6/4(2)… my guess is E

Correct. E = 24/20* 6/4(2), and e = 24/22(2) 6/4(2). The hit convention outranks the most points convention. If no hit, such as 54D-22 in diagram #11, E = 24/22(2) 6/4(2).

    62R, followed by 22 played 13/9* 6/4(2)... my guess is N

Correct. N = 13/9* 6/4(2), and n = 13/11(2) 6/4(2). (If no hit exists, as in 63R-22, the hierarchy is reversed.)

You can also "assume" the hit, and use P (or 4) for making the 4pt. Lower-case p would refer to covering the 9pt (which is further from the 6pt than the 4pt is).

    41$, followed by 44 played 24/20*/16* 6/4(2)… no clue

That double hit is C. The single hit of 24/20*(2) 6/4(2) would be c. If you don't know the basic meaning of C, refer to diagram #13. The expanded definition of letters like B, C and E include movements on the entire far side (not just opponent's inner board).

If you prefer, you can "assume" the double hit, and use P or 4 for making the 4pt. Assumption (starts with #30) tends to be easier/friendlier though less bulletproof.

    54D, followed by 44 played 24/16* 13/9(2)… no clue

Answer is B. For the basic meaning of B, see diagram #10. Here (54D-44), B = 24/16* 13/9(2), and b = 24/20(2) 13/9(2). [Ignore diagram #32c; it has been updated.]

Or by "assuming" the 24/16* hit, you can use D to describe the 13/9(2) portion of the play, as in diagram #32a. Strictly speaking, D would be 13/9(4), but the four-down play is so horrid that you can feel safe using D for 24/16* 13/9(2).

    41Z, followed by 44 played 24/16* 6/2(2)… no clue

Answer is E. For the basic meaning of E, see diagram #11. Here (41Z-44, more usually nactated 41S-44), E = 24/16* 6/2(2), and e = 24/20(2) 6/2*(2).

Another fine answer is K (for Kill, meaning hit twice). Here, you hit twice, then apply the most-points convention to cover the 2pt.

    43Z, followed by 44 played 24/16* 8/4(2)… no clue

By now, you'll know the answer is C (same logic as previous answer).

Or K. Here you hit twice, then for the fourth 4 you can either cover the 4pt or play some other 4 and keep the 8pt, but when points are equidistant from 6pt, tie goes to the lower point.

    32S, followed by 44 played 8/4(2)* 24/20(2)… my guess is C

Correct. Similar to 43Z-44, the difference being that there is no blot on the 16pt, so the back-checker half of C follows the most-points convention. Further clarification: with 32S-44, the bad play of 24/16 8/4(2) would be c.

    64S, followed by 44 played 24/16(2)*… my guess is R

Correct!

    64S, followed by 44 played 24/16* 13/9(2)… no clue

Answer is B. See notes to 54D-44 above; it's the same thing. The non-hit of 24/20(2) 13/9(2) would be b.

    43U, followed by 44 played 13/5* 8/4(2)*… my guess is A

I recommend K. After hitting twice, the most-points convention compels 8/4 for the fourth 4.

By complex doublet rules, you use an underlined BEACON letter when the quadrant breakdown is 3:1. I'll explain further in the tutorial update. But there is no need to resort to O here when you have K.

A is 8/4*(2) 6/2(2). See diagram #12 for a similar move.


Happy holidays,

Nack

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