We have the canon phrase {'aqroS qughDo} for "maximum cruising speed". (canon because it is from the bird of prey poster).
The way I analyze this phrase, it is "cruising speed of maximum".
There are two ways to interpret the noun-noun construction, genitive or possessive. Possessive is a subset of genitive.
You already understand possessive: it means the first noun owns,
or holds, or is otherwise associated with the second noun. HoD
quS captain's chair; chair of the captain; chair owned
by, held by, or otherwise associated with the captain.
Genitive means the first noun modifies the meaning of the second noun, typically by narrowing the possible types of noun you're talking about. baS 'In metal drum: you're not saying metal owns, holds, or is associated with the drum; you're narrowing down what kind of drum you mean by saying it's the metal kind.
Possessive is a subset of genitive because a possessive noun also narrows the possible meanings of the second noun. Of all possible chairs, the one you're referring to is the one owned, held, or associated with the captain.
'aqroS qughDo maximum cruising speed is an example of a genitive construction that is not a possessive construction. The cruising speed doesn't own, hold, or find itself associated with the concept of maximum. Instead, you're specifying what kind of cruising speed you're talking about by narrowing it down to maximum cruising speed.
English sentences do not make this distinction clear, and Klingon
almost doesn't distinguish at all between them. I can think of one
instance where it does: when using pronouns with "relative area"
nouns, you don't use the possessive suffixes; you use pronouns in
a noun-noun construction: jIH Dung area above me instead
of DungwIj; maH 'em area in front of us instead
of 'emmaj. Otherwise, it's unclear whether, for instance,
tlhIngan Hol means language associated with Klingons
or language specified by its Klingonness. Or if you don't
know the context, one might have a bunch of chairs lined up, and
you're asked which one is the chair some hypothetical captain
might use. There the phrase HoD quS wouldn't be
possessive, because you're not talking about a captain owning or
holding or being associated with the chair; you're talking about
narrowing down the type of chair.
Would it be acceptable if we wrote {qughDo 'aqroS} for "the maximum of cruising speed" ? Would it mean the same ?
'aqroS qughDo talks about a cruising speed: maximum
cruising speed, instead of half cruising speed or minimum cruising
speed. qughDo 'aqroS talks about a maximum: cruising speed
maximum, instead of emergency speed maximum or thruster speed
maximum.
-- SuStel http://trimboli.name