Talk:Tuning ranges of regular temperaments: Difference between revisions
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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) | |||