Talk:33/25

Relation to 128/99

Okay, we need to work out how to distinguish this interval from 128/99 in terms of nomenclature. --Aura (talk) 21:02, 17 December 2020 (UTC)

You mean both (33/25 and 128/99) are undecimal fourths? But the other is much more a subfourth ... --Xenwolf (talk) 21:17, 17 December 2020 (UTC)

It is indeed the case that 128/99 is more of a subfourth. However, if you look in the infobox for 33/25, you will see that 33/25 is dubbed the "undecimal sub-fourth". Therefore, the name in the infobox for 33/25 ought to be changed. --Aura (talk) 21:24, 17 December 2020 (UTC)

As can be seen on Gallery of just intervals, "unedecimal forth" isn't already taken. So I'd suggest to remove the sub prefix here. --Xenwolf (talk) 21:28, 17 December 2020 (UTC)

Right then. --Aura (talk) 21:54, 17 December 2020 (UTC)

But why imperfect? If it's undecimal, it cannot be perfect, so the imperfect attribute seems redundant to me. --Xenwolf (talk) 22:16, 17 December 2020 (UTC)

Because different EDOs have their own tempered versions of 3/2, and some of them are only an unnoticeable comma's distance away from the actual 3/2, I figured that we could use the "imperfect" label for cases where the differences are more noticeable. --Aura (talk) 22:26, 17 December 2020 (UTC)

For those ratios that fall within the 3.5-cent range on either side of 3/2, we could call them "quasiperfect"- or at least that's my thinking on the matter. --Aura (talk) 22:27, 17 December 2020 (UTC)

Now that I think about it, however, I should point out that since the difference in cents between 4/3 and 33/25 is about 17.4 cents, and since the difference between this and a syntonic comma is actually around 4.1 cents, and this is noticeable, I'm thinking that fifths and fourths that differ from their perfect counterparts by a noticeably smaller interval than a syntonic comma should be the only fifths and fourths that are designated as "imperfect". If the difference between a given fourth or fifth and it's just 3-limit counterpart is within an unnoticeable comma's distance of 81/80, the fourth or fifth in question should be designated as either "grave" or "acute". Beyond that up until that difference starts to get too close to 33/32 on either side of the just perfect fourth or just perfect fifth, the intervals should just be designated with the super- and sub- prefixes. --Aura (talk) 22:55, 17 December 2020 (UTC)

Oh, and sorry about the multiple edits of the above comment. I should have taken the time to gather my thoughts together first. --Aura (talk) 23:03, 17 December 2020 (UTC)