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| == Varuna == | | == Varuna == |
| === 7-limit ===
| | : ''For the 7-limit version, see [[Miscellaneous 7-limit temperaments #Varuna]].'' |
| [[Subgroup]]: 2.3.5.7 | |
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| [[Comma list]]: 321489/320000
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| {{Mapping|legend=1| 2 0 0 9 | 0 1 0 -4 | 0 0 1 2 }}
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| : mapping generators: ~567/400, ~3, ~5
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| [[Optimal tuning]]s:
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| * [[WE]]: ~567/400 = 600.1005{{c}}, ~3/2 = 701.3045{c}}, ~5/4 = 386.3934{{c}}
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| : [[error map]]: {{val| +0.201 -0.449 +0.482 -0.353 }}
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| * [[CWE]]: ~567/400 = 600.0000{{c}}, ~3/2 = 701.2691{{c}}, ~5/4 = 386.5935{{c}}
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| : error map: {{val| 0.000 -0.686 +0.280 -0.715 }}
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| {{Optimal ET sequence|legend=1| 12, 26, 34, 46, 58, 72, 118, 130, 202, 320, 450, 522, 972bd, 1174bd }}
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| [[Badness]] (Sintel): 2.21
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| === 11-limit ===
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| [[Subgroup]]: 2.3.5.7.11 | | [[Subgroup]]: 2.3.5.7.11 |
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| == Trimyna == | | == Trimyna == |
| | : ''For the 7-limit version, see [[Miscellaneous 7-limit temperaments #Trimyna]].'' |
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| Trimyna can be described as the 27e & 29 & 31 temperament. All three equal temperaments have a fairly accurate tritone for ~7/5 (or ~10/7), and trimyna takes it as one of its generators. The name ''trimyna'' is a contraction of ''[[tritonic]]'' and ''[[myna]]''. | | Trimyna can be described as the 27e & 29 & 31 temperament. All three equal temperaments have a fairly accurate tritone for ~7/5 (or ~10/7), and trimyna takes it as one of its generators. The name ''trimyna'' is a contraction of ''[[tritonic]]'' and ''[[myna]]''. |
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| === 7-limit ===
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| [[Subgroup]]: 2.3.5.7
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| [[Comma list]]: 50421/50000
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| {{Mapping|legend=1| 1 -1 0 1 | 0 5 0 -1 | 0 0 1 1 }}
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| : mapping generators: ~2, ~10/7, ~5
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| [[Optimal tuning]]s:
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| * [[WE]]: ~2 = 1200.1652{{c}}, ~10/7 = 620.4031{c}}, ~5/4 = 387.0990{{c}}
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| : [[error map]]: {{val| +0.165 -0.105 +1.116 -1.634 }}
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| * [[CWE]]: ~2 = 1200.0000{{c}}, ~10/7 = 620.3427{{c}}, ~5/4 = 387.2591{{c}}
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| : error map: {{val| 0.000 -0.241 +0.945 -1.910 }}
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| {{Optimal ET sequence|legend=1| 27, 31, 58, 87, 118, 267d, 385d, 412d }} *
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| <nowiki>*</nowiki> [[optimal patent val]]: [[294edo|294]]
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| [[Badness]] (Sintel): 3.84
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| [[Projection pair]]: <code>3 50000/16807</code> to 2.5.7
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| === 11-limit ===
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| [[Subgroup]]: 2.3.5.7.11 | | [[Subgroup]]: 2.3.5.7.11 |
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