Talk:Saturation, torsion, and contorsion

"Contorted" isn't such a bad term

Put my vote in for keeping "contorted" as the term to indicate a fault in the mapping that (up to a certain limit) prevents you from using all the intervals. While I agree that it isn't completely intuitive, it has less intuition problems than "enfactored". With "contorted", I can at least understand it (and its companion term "contorsion" as a mutation of "contortion"), in which you have to twist yourself into a pretzel to get to the otherwise unreachable increments of a temperament -- if you can't go to a higher limit, then do something like take a n-limit fraction with a high enough power to build up inaccuracy of more than half an increment, and then determine the increments by direct approximation instead of in the normal way -- for instance, in 24EDO, taking the direct approximation of 128/125 (that would be tempered out in 24EDO when using prime limit approximation), which exceeds half of an increment of 24EDO, so that it gets you to the alternate ring of fifths. And its mapping opposite, "saturated", is certainly less unintuitive than "defactored". Lucius Chiaraviglio (talk) 06:27, 1 August 2024 (UTC)