Talk:33/25: Difference between revisions

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:::::: 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 or greater, the fourth or fifth in question should be designated as either "grave" or "acute". --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 22:53, 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 or greater, the fourth or fifth in question should be designated as either "grave" or "acute"- that is, until that difference starts to get too close to 33/32 on either side of the just perfect fourth or just perfect fifth. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 22:55, 17 December 2020 (UTC)

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	:::::: 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)		:::::: 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 or greater, the fourth or fifth in question should be designated as either "grave" or "acute". --[[User:Aura\|Aura]] ([[User talk:Aura\|talk]]) 22:53, 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 or greater, the fourth or fifth in question should be designated as either "grave" or "acute"- that is, until that difference starts to get too close to 33/32 on either side of the just perfect fourth or just perfect fifth. --[[User:Aura\|Aura]] ([[User talk:Aura\|talk]]) 22:55, 17 December 2020 (UTC)