Talk:33/25: Difference between revisions

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::::: But why imperfect? If it's undecimal, it cannot be perfect, so the ''imperfect'' attribute seems redundant to me. --[[User:Xenwolf|Xenwolf]] ([[User talk: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. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 22:26, 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. --[[User:Aura|Aura]] ([[User talk: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. --[[User:Aura|Aura]] ([[User talk: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. --[[User:Aura|Aura]] ([[User talk: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. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 23:03, 17 December 2020 (UTC)

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 ::::: But why imperfect? If it's undecimal, it cannot be perfect, so the ''imperfect'' attribute seems redundant to me. --[[User:Xenwolf|Xenwolf]] ([[User talk: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. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 22:26, 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. --[[User:Aura|Aura]] ([[User talk: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. --[[User:Aura|Aura]] ([[User talk: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. --[[User:Aura|Aura]] ([[User talk: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. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 23:03, 17 December 2020 (UTC)