Talk:Tuning ranges of regular temperaments: Difference between revisions
Cmloegcmluin (talk | contribs) →Open or closed?: new section |
Cmloegcmluin (talk | contribs) |
||
| (2 intermediate revisions by 2 users not shown) | |||
| Line 13: | Line 13: | ||
In an email correspondence, Dave Keenan suggested that the diamond tuning ranges should be considered ''open'' ranges, that is, that their extrema should be excluded. For example — per the examples given on the page — for 5-limit meantone, 4/3 and (12/5)^(1/3) would not themselves be diamond tradeoff generators, and 2/5 and 3/7 would not themselves be diamond monotone generators. I think this seems reasonable, but I wouldn't add it to the page unless I was sure that historically the ranges hadn't been defined otherwise. Does anyone happen to know whether they've been explicitly stated to be open or closed ranges? --[[User:Cmloegcmluin|Cmloegcmluin]] ([[User talk:Cmloegcmluin|talk]]) 04:15, 21 January 2022 (UTC) | In an email correspondence, Dave Keenan suggested that the diamond tuning ranges should be considered ''open'' ranges, that is, that their extrema should be excluded. For example — per the examples given on the page — for 5-limit meantone, 4/3 and (12/5)^(1/3) would not themselves be diamond tradeoff generators, and 2/5 and 3/7 would not themselves be diamond monotone generators. I think this seems reasonable, but I wouldn't add it to the page unless I was sure that historically the ranges hadn't been defined otherwise. Does anyone happen to know whether they've been explicitly stated to be open or closed ranges? --[[User:Cmloegcmluin|Cmloegcmluin]] ([[User talk:Cmloegcmluin|talk]]) 04:15, 21 January 2022 (UTC) | ||
: I'd like to hear Dave's reasons. [[User:FloraC|FloraC]] ([[User talk:FloraC|talk]]) 11:13, 21 January 2022 (UTC) | |||
:: Honestly it doesn't matter, I'd like to make it consistent though. (My vote is for open) - [[User:Sintel|Sintel]] ([[User talk:Sintel|talk]]) 17:55, 21 January 2022 (UTC) | |||
::: Dave didn't explicitly give reasons. But from the context, I believe his point is that to truly be a meantone tuning, there must be ''some'' compromise between the tunings of the just perfect fifth and major third, and if no compromise at all is made, then the tuning has no business being called a meantone. And that this sentiment might then be extended to other temperaments (with less explicitly instructive names than "meantone") regarding whichever JI intervals they're defined as making compromises between. I think this makes enough sense, myself. | |||
::: It seems that no one is aware of the original authors specifying one way or another, though? So if we don't know what is "actually" the case about these tuning ranges' openness, for now, the best possibility might be to recognize that it's an unknown on the main page, and say that for now you may want to be specific as to whether you're using diamond tuning ranges in an open or closed sense, on a case by case basis. --[[User:Cmloegcmluin|Cmloegcmluin]] ([[User talk:Cmloegcmluin|talk]]) 20:10, 21 January 2022 (UTC) | |||