Talk:Exotemperament

Low complexity criterion

When exactly do we speak of a low-complexity comma? Answering that question could open up options for new categories for commas (we currently sub-categorize them by size). --Xenwolf (talk) 22:05, 27 June 2021 (UTC)

It's the complexity of the comma as an interval. So there are multiple ways to define it precisely, but they're all highly correlated. Examples: Benedetti height/Tenney height, TE norm, Generalized Tenney Norms and Tp Interval Space, Kees height... —Keenan Pepper (talk) 20:23, 29 June 2021 (UTC)

So you have any idea if (and maybe how) this could be translated into categories? Where would you see boundaries (between size orders, magnitudes)? In the size domain (cents) we also use double categorization in cases of doubt, in the same way, we would not need hard-core borders here. --Xenwolf (talk) 23:16, 29 June 2021 (UTC)

In my view, a low-complexity comma is one that either (1) tempers two odd-limit consonances together or (2) is less complex than 81/80. Bootmii (talk) 01:43, 19 March 2022 (UTC)