Thank you, @Mark_Johnson. Agreed…
The basic rule I presented is simple, and musically straightforward:
With tuplets, one aims to have “a ratio of x against y, i.e. a polyrhythm, (i.e. x and y are each #'s of notes, not durations), where only the note duration of the basis y notes is specified.”
So, 9 against 8, where the denominator (i…e. 8) has value 1/8, or 1/16, or … It makes no musical sense to talk of the values of the numerator. One simply specifies (i) a polyrhythm ratio (y:x), and (ii) the underlying note value of each basis note (denominator). The values in the numerator and then determined.
As Mark concurred, most composers do follow the rule I cite, which indicates the # of beams (i.e. equivalent note values) for the x notes. I.e. the note values displayed in the numerator, add up to greater than the sum in the denominator, and less than twice the sum in the denominator.
All the examples I includes (msg # 11) support this as a normal rule. I am not saying there aren’t exceptions in old conventions, or more modern examples. As far as I have seen, this rule on # of beams for the notes (i…e. numerator) holds both if a single tuplet number is used, or if a ratio is used.
In contrast several posters ( @Janus @DanielMuzMurray ) indicate this is “incorrect”. Some strange examples which violate this rule are included (e.g post #8) which I have never seen in the literature. Rather than reiterating how I am incorrect, I’m still looking forward to receiving their examples from the literature (not from Dorico), to show where I am off base. I am certainly open to being educated.