Xenharmonic Wiki talk:Things to do: Difference between revisions

Let me explain my decision to single out MOS sizes from 5 to 10. There's something called the [https://asa.scitation.org/doi/abs/10.1121/1.380858 trill threshold] in human psychoacoustics which is about [[23/20]] (close to 1\5) according to the linked paper. It's where rapidly alternating between two notes stops sounding like a trill or a vibrato and starts sounding like two disconnected notes and is a natural boundary between "steps" and "leaps", or "seconds" and "thirds".

Not all steps of a scale has to sound like seconds (it's not true for meantone[5]), but at least one step should. Since a 5-note scale has average step size that's close to the trill threshold it's a good lower bound. Since a 10-note scale, on average, will have two steps on the trill threshold, 10 notes is the size where two consecutive notes in scale will start sounding like chromatic alterations of the same note. (These arguments will hold more for MOSes for other scale types because of the regularity of MOSes.) I think we should include 10-note scales anyway, since some like blackwood[10] are commonly used in the community. [[User:IlL|Inthar]] ([[User talk:IlL|talk]]) 17:31, 16 January 2021 (UTC)