Michael is correct.
A thread FORM is merely the SHAPE of the thread and is not confined by a dimension of any sort.
Because Whitworth was working in a country where the inch was a standard dimensional unit, he set the standard using the Inch as the unit.
His standard thread FORM is one with a 55 degree angle, with the crest rounded by a proportion of the pitch. (Which is where a dimesion, other than an angle, comes into play)
In similar manner, Unified and Metric threads are of 60 degree angle with the crest flattened, again by a proportion of the pitch.
Unified thread FORM is used in Unified Coarse, Unified Fine, Unified Extra Fine, and Unified Special, in the same way that the Metric thread FORM is present in Metric Coarse, and Metric Fine systems.
It is just the pitch that changes, based on the diameter.
(In crude terminilogy, an equilateral triangle with the top chopped off)
A thread SYSTEM can be of any form, and of ANY pitch that the maker chooses.
(It could be argued that BA is an example, with a 47.5 degree angle, with the “basic” 0 BA being 6 mm x 1mm pitch, with subsequent diameters and pitches being reduced by a factor of 0.9).
British Standard Pipe threads are of Whitworth FORM, but the pitch, although related (not proportionally) to diameter, does not follow the standard for attachment threads.
Brass threads have a Whitworth form, and are a constant 26 tpi, as are Cycle threads, (BUT they are of 60 degree FORM, like Unified and Metric).
A Left Hand thread could be of any FORM, but not necessarily conform to a STANDARD for a Right Hand thread, in terms of pitch. There are times when conforming to a standard pitch is needed, as in turnbuckles wher a similar right hand thread is used for the purpose of adjustment.
(But sometimes where a specially fine adjustment is need, the thread pitches may differ)
BSW threads are of Whitworth form, with the pitch related to the diameter.
RPS threads are also of Whitworth FORM, but do not conform to the British STANDARD Whitworth thread, on diameter or pitch.
As an example, FOR A PARTICULAR PURPOSE, and because it suited me, with no expectation that it would ever be repeated, I produced an unusual thread, both in FORM and pitch.
In this instance the depth and pitch determined the exact FORM.
(Being assymetric, was not a knuckle thread, and therefore, to which I cannot ascribe a title for the form)
It was produced using a 1/8″ diameter toolbit, with a depth of 0.0625″, with a pitch of 4 mm, to produce a flat topped thread with a semi circular root.
A TOTAL oddball, which surely, no one would want to set as a standard of either form or pitch.
Howard