Yes, I like the iterate/iterational and tetrate/tetrational terminology. I've been using "iterator" where you've been using orbit, though I like all three terms if I had to adopt one of them and stick with it.
And "multiple" at least rhymes with iterational, tetrational, and exponential (in the sense that the suffixes "-al" and "-le" sound the same, at least for a Californian like myself), making for a loosely consistent pattern.
One place it breaks down with other precedents is power/exponential. Calling x^3 the third exponentiate doesn't quite sound right (even if making an effort to pronounce it differently from the verb "to exponentiate"). But here, there is an ingrained terminology that may be causing a bias to what "sounds right".
Edit: Already the term "exponentiate" is starting to sound okay to me, used as a noun. Funny how the mind adapts.
And "multiple" at least rhymes with iterational, tetrational, and exponential (in the sense that the suffixes "-al" and "-le" sound the same, at least for a Californian like myself), making for a loosely consistent pattern.
One place it breaks down with other precedents is power/exponential. Calling x^3 the third exponentiate doesn't quite sound right (even if making an effort to pronounce it differently from the verb "to exponentiate"). But here, there is an ingrained terminology that may be causing a bias to what "sounds right".
Edit: Already the term "exponentiate" is starting to sound okay to me, used as a noun. Funny how the mind adapts.
~ Jay Daniel Fox