What you have called a hemiola here is what we call "polyrythmic phasing"
Yes, I like this expression. It is precise and explicit. Before reading that book, I was calling this phenomenon
poliritmia.
If you'd like to be precise in Italian, you could write
poliritmia or also
phasing poliritmico. If you write
sfasamento it could be less precise, I afraid.
Maybe only the author of that book uses the word hemiolia in this sense.
It must be incredibly hard to play!
Yes. I heard from the cd the performance of P.L. Aimard, reading the score: it's something unbelieveble. I've tried but it's hard.
it would be very common for someone to say "hemiola" in English, the Italian version of "hemiola" could be more "loose" in its meaning and incorporate this!
Yes. To create no doubt, in Italian you can use simply
poliritmia. The concept is very clear.
I wouldn't be surprised if the author/composer called it a hemiola to put forward the general idea to a reader about "rhythms not being normal".
The author of the book uses the word
emiolia in this way: there is a first chapter about the african traditional polyrythmic phasing, with a lot of exmples.
Then in another chapter the complex phasing of Nancarrow are analysed, where the ratios are unbelievable. Indeed, the music of Nancarrow was not played by a human person, but by a machine, the mechanical piano where a roll turns (sorry, in English it's not easy), like in a huge carillon, the same instrument in the age of rag-times. So you can make holes with distances in the ratio you want.
She (the author) fixes a definition: by convention, we call emiolia the polyrythmic phasing, from the very simple case 3 vs 2 like in Mozart, until the multi-layers african music or the crazy phasing of Nancarrow.
Until the end of the book, this is the conventional word.
I suggest you to explore the piano music of Ligeti, it's a world!
All in all: in translation, poliritmia or phasing poliritmico are ok.
It has been a very pleasure to chat about this topic.
Cheerio!
EDIT. The phasing is a very natural phenomenon happening when there are at least two periodic events, with periods in a rational ratio. If the ratio between the periods is irrational (that is, it's not a fraction) then in Mathematics & Physics it's called
quasi-periodic motion.
Also the planets in the solar system would produce polyrythmic phasing, if only they would play a sound at every round (or maybe they do it: the celestial music?).
If we walk and my steps are one and a half of your ones, we play a very classical hemiolia.
Oh yeah!