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|+ style="font-size: 105%;" | {{frac|2|7}}-comma [[Superpyth]] interval chain | |+ style="font-size: 105%;" | {{frac|2|7}}-comma [[Superpyth]] interval chain | ||
|- | |- | ||
! rowspan="2" | # !! rowspan="2" | Cents !! colspan="2" | Approximate Ratios | ! rowspan="2" | # !! rowspan="2" | Cents !! rowspan="2" | Note !! colspan="2" | Approximate Ratios | ||
|- | |- | ||
! 7-limit !! 11-limit | ! 7-limit !! 11-limit | ||
|- | |- | ||
| −10 || {{cents|2^6/(3/2*(64/63)^(2/7))^10|3}} || 16/15, 21/20 || | | −10 || {{cents|2^6/(3/2*(64/63)^(2/7))^10|3}} || E𝄫 || 16/15, 21/20 || | ||
|- | |- | ||
| −9 || {{cents|2^6/(3/2*(64/63)^(2/7))^9|3}} || 8/5 || | | −9 || {{cents|2^6/(3/2*(64/63)^(2/7))^9|3}} || B𝄫 || 8/5 || | ||
|- | |- | ||
| −8 || {{cents|2^5/(3/2*(64/63)^(2/7))^8|3}} || 6/5 || 40/33 | | −8 || {{cents|2^5/(3/2*(64/63)^(2/7))^8|3}} || F♭ || 6/5 || 40/33 | ||
|- | |- | ||
| −7 || {{cents|2^5/(3/2*(64/63)^(2/7))^7|3}} || 9/5 || 20/11 | | −7 || {{cents|2^5/(3/2*(64/63)^(2/7))^7|3}} || C♭ || 9/5 || 20/11 | ||
|- | |- | ||
| −6 || {{cents|2^4/(3/2*(64/63)^(2/7))^6|3}} || 48/35, 27/20 || 15/11 | | −6 || {{cents|2^4/(3/2*(64/63)^(2/7))^6|3}} || G♭ || 48/35, 27/20 || 15/11 | ||
|- | |- | ||
| −5 || {{cents|2^3/(3/2*(64/63)^(2/7))^5|3}} || 28/27, 36/35 || 45/44 | | −5 || {{cents|2^3/(3/2*(64/63)^(2/7))^5|3}} || D♭ || 28/27, 36/35 || 45/44 | ||
|- | |- | ||
| −4 || {{cents|2^3/(3/2*(64/63)^(2/7))^4|3}} || 14/9 || | | −4 || {{cents|2^3/(3/2*(64/63)^(2/7))^4|3}} || A♭ || 14/9 || | ||
|- | |- | ||
| −3 || {{cents|2^2/(3/2*(64/63)^(2/7))^3|3}} || 7/6 || | | −3 || {{cents|2^2/(3/2*(64/63)^(2/7))^3|3}} || E♭ || 7/6 || | ||
|- | |- | ||
| −2 || {{cents|2^2/(3/2*(64/63)^(2/7))^2|3}} || 7/4, 16/9 || | | −2 || {{cents|2^2/(3/2*(64/63)^(2/7))^2|3}} || B♭ || '''7/4''', 16/9 || | ||
|- | |- | ||
| −1 || {{cents|2/(3/2*(64/63)^(2/7))|3}} || 4/3 || | | −1 || {{cents|2/(3/2*(64/63)^(2/7))|3}} || F || 4/3 || | ||
|- | |- | ||
| 0 || 0 || '''1/1''' || | | 0 || 0 || C || '''1/1''' || | ||
|- | |- | ||
| 1 || {{cents|3/2*(64/63)^(2/7)|3}} || '''3/2''' || | | 1 || {{cents|3/2*(64/63)^(2/7)|3}} || G || '''3/2''' || | ||
|- | |- | ||
| 2 || {{cents|(3/2*(64/63)^(2/7))^2/2|3}} || '''8/7''', '''9/8''' || | | 2 || {{cents|(3/2*(64/63)^(2/7))^2/2|3}} || D || '''8/7''', '''9/8''' || | ||
|- | |- | ||
| 3 || {{cents|(3/2*(64/63)^(2/7))^3/2|3}} || 12/7 || | | 3 || {{cents|(3/2*(64/63)^(2/7))^3/2|3}} || A || 12/7 || | ||
|- | |- | ||
| 4 || {{cents|(3/2*(64/63)^(2/7))^4/2^2|3}} || 9/7 || | | 4 || {{cents|(3/2*(64/63)^(2/7))^4/2^2|3}} || E || 9/7 || | ||
|- | |- | ||
| 5 || {{cents|(3/2*(64/63)^(2/7))^5/2^2|3}} || 27/14, 35/18 || 88/45 | | 5 || {{cents|(3/2*(64/63)^(2/7))^5/2^2|3}} || B || 27/14, 35/18 || 88/45 | ||
|- | |- | ||
| 6 || {{cents|(3/2*(64/63)^(2/7))^6/2^3|3}} || 35/24, 40/27 || 22/15 | | 6 || {{cents|(3/2*(64/63)^(2/7))^6/2^3|3}} || F♯ || 35/24, 40/27 || 22/15 | ||
|- | |- | ||
| 7 || {{cents|(3/2*(64/63)^(2/7))^7/2^4|3}} || 10/9, 54/49 || 11/10 | | 7 || {{cents|(3/2*(64/63)^(2/7))^7/2^4|3}} || C♯ || 10/9, 54/49 || 11/10 | ||
|- | |- | ||
| 8 || {{cents|(3/2*(64/63)^(2/7))^8/2^4|3}} || 5/3 || 33/20 | | 8 || {{cents|(3/2*(64/63)^(2/7))^8/2^4|3}} || G♯ || 5/3 || 33/20 | ||
|- | |- | ||
| 9 || {{cents|(3/2*(64/63)^(2/7))^9/2^5|3}} || '''5/4''' || | | 9 || {{cents|(3/2*(64/63)^(2/7))^9/2^5|3}} || D♯ || '''5/4''' || | ||
|- | |- | ||
| 10 || {{cents|(3/2*(64/63)^(2/7))^10/2^5|3}} || 15/8, 40/21 || | | 10 || {{cents|(3/2*(64/63)^(2/7))^10/2^5|3}} || A♯ || '''15/8''', 40/21 || | ||
|- | |- | ||
| 11 || {{cents|(3/2*(64/63)^(2/7))^11/2^6|3}} || 10/7 || | | 11 || {{cents|(3/2*(64/63)^(2/7))^11/2^6|3}} || E♯ || 10/7 || | ||
|- | |- | ||
| 12 || {{cents|(3/2*(64/63)^(2/7))^12/2^7|3}} || 15/14 || | | 12 || {{cents|(3/2*(64/63)^(2/7))^12/2^7|3}} || B♯ || 15/14 || | ||
|- | |- | ||
| 13 || {{cents|(3/2*(64/63)^(2/7))^13/2^7|3}} || 45/28 || 44/27 | | 13 || {{cents|(3/2*(64/63)^(2/7))^13/2^7|3}} || F𝄪 || 45/28 || 44/27 | ||
|- | |- | ||
| 14 || {{cents|(3/2*(64/63)^(2/7))^14/2^8|3}} || 60/49 || 11/9 | | 14 || {{cents|(3/2*(64/63)^(2/7))^14/2^8|3}} || C𝄪 || 60/49 || 11/9 | ||
|- | |- | ||
| 15 || {{cents|(3/2*(64/63)^(2/7))^15/2^8|3}} || 50/27 || 11/6 | | 15 || {{cents|(3/2*(64/63)^(2/7))^15/2^8|3}} || G𝄪 || 50/27 || 11/6 | ||
|- | |- | ||
| 16 || {{cents|(3/2*(64/63)^(2/7))^16/2^9|3}} || 25/18 || '''11/8''' | | 16 || {{cents|(3/2*(64/63)^(2/7))^16/2^9|3}} || D𝄪 || 25/18 || '''11/8''' | ||
|- | |- | ||
| 17 || {{cents|(3/2*(64/63)^(2/7))^17/2^10|3}} || 25/24 || 22/21, 33/32 | | 17 || {{cents|(3/2*(64/63)^(2/7))^17/2^10|3}} || A𝄪 || 25/24 || 22/21, '''33/32''' | ||
|- | |||
| 18 || {{cents|(3/2*(64/63)^(2/7))^18/2^10|3}} || E𝄪 || || | |||
|- | |||
| 19 || {{cents|(3/2*(64/63)^(2/7))^19/2^11|3}} || B𝄪 || || | |||
|} | |} | ||
Revision as of 15:54, 9 September 2024
| # | Cents | Note | Approximate Ratios | |
|---|---|---|---|---|
| 7-limit | 11-limit | |||
| −10 | ^(.*?)[Cc]?$|\1}}) / ln(2)}}|3|.|}}{{subst:#switch: {{subst:#rmatch: 2^6/(3/2*(64/63)^(2/7))^10|^.*?([Cc]?)$|\1}}|c= ¢|C= ¢|#default=}} | E𝄫 | 16/15, 21/20 | |
| −9 | ^(.*?)[Cc]?$|\1}}) / ln(2)}}|3|.|}}{{subst:#switch: {{subst:#rmatch: 2^6/(3/2*(64/63)^(2/7))^9|^.*?([Cc]?)$|\1}}|c= ¢|C= ¢|#default=}} | B𝄫 | 8/5 | |
| −8 | ^(.*?)[Cc]?$|\1}}) / ln(2)}}|3|.|}}{{subst:#switch: {{subst:#rmatch: 2^5/(3/2*(64/63)^(2/7))^8|^.*?([Cc]?)$|\1}}|c= ¢|C= ¢|#default=}} | F♭ | 6/5 | 40/33 |
| −7 | ^(.*?)[Cc]?$|\1}}) / ln(2)}}|3|.|}}{{subst:#switch: {{subst:#rmatch: 2^5/(3/2*(64/63)^(2/7))^7|^.*?([Cc]?)$|\1}}|c= ¢|C= ¢|#default=}} | C♭ | 9/5 | 20/11 |
| −6 | ^(.*?)[Cc]?$|\1}}) / ln(2)}}|3|.|}}{{subst:#switch: {{subst:#rmatch: 2^4/(3/2*(64/63)^(2/7))^6|^.*?([Cc]?)$|\1}}|c= ¢|C= ¢|#default=}} | G♭ | 48/35, 27/20 | 15/11 |
| −5 | ^(.*?)[Cc]?$|\1}}) / ln(2)}}|3|.|}}{{subst:#switch: {{subst:#rmatch: 2^3/(3/2*(64/63)^(2/7))^5|^.*?([Cc]?)$|\1}}|c= ¢|C= ¢|#default=}} | D♭ | 28/27, 36/35 | 45/44 |
| −4 | ^(.*?)[Cc]?$|\1}}) / ln(2)}}|3|.|}}{{subst:#switch: {{subst:#rmatch: 2^3/(3/2*(64/63)^(2/7))^4|^.*?([Cc]?)$|\1}}|c= ¢|C= ¢|#default=}} | A♭ | 14/9 | |
| −3 | ^(.*?)[Cc]?$|\1}}) / ln(2)}}|3|.|}}{{subst:#switch: {{subst:#rmatch: 2^2/(3/2*(64/63)^(2/7))^3|^.*?([Cc]?)$|\1}}|c= ¢|C= ¢|#default=}} | E♭ | 7/6 | |
| −2 | ^(.*?)[Cc]?$|\1}}) / ln(2)}}|3|.|}}{{subst:#switch: {{subst:#rmatch: 2^2/(3/2*(64/63)^(2/7))^2|^.*?([Cc]?)$|\1}}|c= ¢|C= ¢|#default=}} | B♭ | 7/4, 16/9 | |
| −1 | ^(.*?)[Cc]?$|\1}}) / ln(2)}}|3|.|}}{{subst:#switch: {{subst:#rmatch: 2/(3/2*(64/63)^(2/7))|^.*?([Cc]?)$|\1}}|c= ¢|C= ¢|#default=}} | F | 4/3 | |
| 0 | 0 | C | 1/1 | |
| 1 | ^(.*?)[Cc]?$|\1}}) / ln(2)}}|3|.|}}{{subst:#switch: {{subst:#rmatch: 3/2*(64/63)^(2/7)|^.*?([Cc]?)$|\1}}|c= ¢|C= ¢|#default=}} | G | 3/2 | |
| 2 | ^(.*?)[Cc]?$|\1}}) / ln(2)}}|3|.|}}{{subst:#switch: {{subst:#rmatch: (3/2*(64/63)^(2/7))^2/2|^.*?([Cc]?)$|\1}}|c= ¢|C= ¢|#default=}} | D | 8/7, 9/8 | |
| 3 | ^(.*?)[Cc]?$|\1}}) / ln(2)}}|3|.|}}{{subst:#switch: {{subst:#rmatch: (3/2*(64/63)^(2/7))^3/2|^.*?([Cc]?)$|\1}}|c= ¢|C= ¢|#default=}} | A | 12/7 | |
| 4 | ^(.*?)[Cc]?$|\1}}) / ln(2)}}|3|.|}}{{subst:#switch: {{subst:#rmatch: (3/2*(64/63)^(2/7))^4/2^2|^.*?([Cc]?)$|\1}}|c= ¢|C= ¢|#default=}} | E | 9/7 | |
| 5 | ^(.*?)[Cc]?$|\1}}) / ln(2)}}|3|.|}}{{subst:#switch: {{subst:#rmatch: (3/2*(64/63)^(2/7))^5/2^2|^.*?([Cc]?)$|\1}}|c= ¢|C= ¢|#default=}} | B | 27/14, 35/18 | 88/45 |
| 6 | ^(.*?)[Cc]?$|\1}}) / ln(2)}}|3|.|}}{{subst:#switch: {{subst:#rmatch: (3/2*(64/63)^(2/7))^6/2^3|^.*?([Cc]?)$|\1}}|c= ¢|C= ¢|#default=}} | F♯ | 35/24, 40/27 | 22/15 |
| 7 | ^(.*?)[Cc]?$|\1}}) / ln(2)}}|3|.|}}{{subst:#switch: {{subst:#rmatch: (3/2*(64/63)^(2/7))^7/2^4|^.*?([Cc]?)$|\1}}|c= ¢|C= ¢|#default=}} | C♯ | 10/9, 54/49 | 11/10 |
| 8 | ^(.*?)[Cc]?$|\1}}) / ln(2)}}|3|.|}}{{subst:#switch: {{subst:#rmatch: (3/2*(64/63)^(2/7))^8/2^4|^.*?([Cc]?)$|\1}}|c= ¢|C= ¢|#default=}} | G♯ | 5/3 | 33/20 |
| 9 | ^(.*?)[Cc]?$|\1}}) / ln(2)}}|3|.|}}{{subst:#switch: {{subst:#rmatch: (3/2*(64/63)^(2/7))^9/2^5|^.*?([Cc]?)$|\1}}|c= ¢|C= ¢|#default=}} | D♯ | 5/4 | |
| 10 | ^(.*?)[Cc]?$|\1}}) / ln(2)}}|3|.|}}{{subst:#switch: {{subst:#rmatch: (3/2*(64/63)^(2/7))^10/2^5|^.*?([Cc]?)$|\1}}|c= ¢|C= ¢|#default=}} | A♯ | 15/8, 40/21 | |
| 11 | ^(.*?)[Cc]?$|\1}}) / ln(2)}}|3|.|}}{{subst:#switch: {{subst:#rmatch: (3/2*(64/63)^(2/7))^11/2^6|^.*?([Cc]?)$|\1}}|c= ¢|C= ¢|#default=}} | E♯ | 10/7 | |
| 12 | ^(.*?)[Cc]?$|\1}}) / ln(2)}}|3|.|}}{{subst:#switch: {{subst:#rmatch: (3/2*(64/63)^(2/7))^12/2^7|^.*?([Cc]?)$|\1}}|c= ¢|C= ¢|#default=}} | B♯ | 15/14 | |
| 13 | ^(.*?)[Cc]?$|\1}}) / ln(2)}}|3|.|}}{{subst:#switch: {{subst:#rmatch: (3/2*(64/63)^(2/7))^13/2^7|^.*?([Cc]?)$|\1}}|c= ¢|C= ¢|#default=}} | F𝄪 | 45/28 | 44/27 |
| 14 | ^(.*?)[Cc]?$|\1}}) / ln(2)}}|3|.|}}{{subst:#switch: {{subst:#rmatch: (3/2*(64/63)^(2/7))^14/2^8|^.*?([Cc]?)$|\1}}|c= ¢|C= ¢|#default=}} | C𝄪 | 60/49 | 11/9 |
| 15 | ^(.*?)[Cc]?$|\1}}) / ln(2)}}|3|.|}}{{subst:#switch: {{subst:#rmatch: (3/2*(64/63)^(2/7))^15/2^8|^.*?([Cc]?)$|\1}}|c= ¢|C= ¢|#default=}} | G𝄪 | 50/27 | 11/6 |
| 16 | ^(.*?)[Cc]?$|\1}}) / ln(2)}}|3|.|}}{{subst:#switch: {{subst:#rmatch: (3/2*(64/63)^(2/7))^16/2^9|^.*?([Cc]?)$|\1}}|c= ¢|C= ¢|#default=}} | D𝄪 | 25/18 | 11/8 |
| 17 | ^(.*?)[Cc]?$|\1}}) / ln(2)}}|3|.|}}{{subst:#switch: {{subst:#rmatch: (3/2*(64/63)^(2/7))^17/2^10|^.*?([Cc]?)$|\1}}|c= ¢|C= ¢|#default=}} | A𝄪 | 25/24 | 22/21, 33/32 |
| 18 | ^(.*?)[Cc]?$|\1}}) / ln(2)}}|3|.|}}{{subst:#switch: {{subst:#rmatch: (3/2*(64/63)^(2/7))^18/2^10|^.*?([Cc]?)$|\1}}|c= ¢|C= ¢|#default=}} | E𝄪 | ||
| 19 | ^(.*?)[Cc]?$|\1}}) / ln(2)}}|3|.|}}{{subst:#switch: {{subst:#rmatch: (3/2*(64/63)^(2/7))^19/2^11|^.*?([Cc]?)$|\1}}|c= ¢|C= ¢|#default=}} | B𝄪 | ||