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Mike correctly asserts that use of the doublets table (combined with the hit/most/6 rule) removes any possible ambiguity in the Nactation of even the trickiest doublets. The table is also logically constructed: it primarily builds from the more basic letters, altering their definitions to fit various movement ratios.
Until someone has learned the meaning of G, Y, M, Q and the underlined families, it is reasonable to supplement their Nactation with "assumption" for the complex doublets (i.e., those without straightforward 2:2 or 4:0 ratios).
"I" is not complex, however; it is a straightforward 4:0 ratio. Both or all move portions move (entirely) within the inner board. In the position above, the two best plays are both in the I family: 6/5*(3) 5/4*, and 6/5*/4*(2).
The hit/most/6 rule is composed of three conventions in order of priority: The hit convention (hit on highest point), most points (create or retain the most points), and 6pt (closest to 6pt).
Here, both plays under consideration hit two blots, and both plays give Blue a fifth point on the board (either the 5pt or 4pt). Thus, the 6pt convention decides the issue.
For the 6pt convention, the location of the owned point closest to the 6pt is considered prior to the blot/spare destination. The 5pt is closer (to the 6pt) than the 4pt, so it earns the capital I. [I realize the full articulation has required a lot of words, but it is really a trivial concept. While it is not true in every case, better plays tend to make the point that is closer to the 6pt.]
- I = 6/5*(3) 5*4
i = 6/5*/4*(2)
For reference, dmp rollouts for this position are:
- d[i I2] /20 (Myshkin)
d[I i2] <5 (Miran)
d[i I1] <31 (David)
As Mike points out, P (Point) has a dedication clause. To properly be in the P family, all move portions of a play must take part (directly or indirectly) in the making of a point. P = 13/3(2) is an example; playing "through" the already-made 8pt is okay. In the diagrammed position above, P = 6/5*/4*(2) is another example.
In other words, 6/5*/4*(2) can be nactated with either i or P. If you prefer capital letters (as I do, and as Mike suggested), then use P for this dedicated point-making play and I for the other play (6/5*(3) 5/4*).
As explained in the Nactation Study post (about 3/4 the way down, under the 64H diagram pair), H means to hit loose. K also has a hit-loose tendency, though it is less of an imperative. This narrowing of the definition rescues the interpretation from being impractically general.
Strictly applied, H means 8/7(3) 6/5* in the diagrammed position, and K means 8/7(2) 6/5*/4*. However, if someone were to use K or H (as I did before I sophisticated the system), I would assume that they are applying the assumption of making the 5pt (incidentally hitting there), and that the rest of the play is hitting loose on the 4pt. That seems like a far more "likely" interpretation.
Arguably, the drawback of writing and interpreting H in that way used to be that it left no way to distinctly nactate 8/7(3) 6/5*. However, the creation of the underlined families means that lower-case n (near) now covers that play. There is still the matter that H technically also means 8/7(3) 6/5*, but it is such a horrendous play compared to 6/5*(3) 5*/4 that a skilled interpreter is unlikely to be led astray.
In summary, P (or i) is, technically speaking, the proper way to nactate 6/5*/4*(2), and I is the proper way to nactate 6/5*(3)/4*. In practice, H, though less "perfect", should be fine for the latter.
Nack