Orwellismic temperaments: Difference between revisions
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These temper out |6 3 -1 -3> = 1728/1715, the orwellisma. | These temper out |6 3 -1 -3> = 1728/1715, the orwellisma. | ||
Temperaments not discussed here include [[Meantone family|cynder]], [[Archytas clan|superpyth]], [[Starling temperaments|myna]], [[Jubilismic clan|doublewide]], [[Bug family|beep]], and [[Semicomma family|orwell]]. | Temperaments not discussed here include [[Meantone family|cynder]], [[Archytas clan|superpyth]], [[Starling temperaments|myna]], [[Hemifamity temperaments|buzzard]], [[Jubilismic clan|doublewide]], [[Bug family|beep]], and [[Semicomma family|orwell]]. | ||
=Secant= | =Secant= | ||
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Wedgie: <<14 30 4 15 -33 -75| | Wedgie: <<14 30 4 15 -33 -75| | ||
EDOs: 26, 58, 84, 142, 368cd | EDOs: {{EDOs|26, 58, 84, 142, 368cd}} | ||
Badness: 0.0953 | Badness: 0.0953 | ||
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Map: [<2 1 0 5 6|, <0 7 15 2 3|] | Map: [<2 1 0 5 6|, <0 7 15 2 3|] | ||
EDOs: 26, 58, 142e, 200cde | EDOs: {{EDOs|26, 58, 142e, 200cde}} | ||
Badness: 0.0464 | Badness: 0.0464 | ||
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Map: [<2 1 0 5 6 4|, <0 7 15 2 3 11|] | Map: [<2 1 0 5 6 4|, <0 7 15 2 3 11|] | ||
EDOs: 26, 58, 84, 142ef | EDOs: {{EDOs|26, 58, 84, 142ef}} | ||
Badness: 0.0250 | Badness: 0.0250 | ||
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Wedgie: <<16 -3 17 -42 -18 48|| | Wedgie: <<16 -3 17 -42 -18 48|| | ||
EDOs: 9, 49, 58, 165cd, 223bcd | EDOs: {{EDOs|9, 49, 58, 165cd, 223bcd}} | ||
Badness: 0.1171 | Badness: 0.1171 | ||
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Map: [<1 14 0 16 12|, <0 -16 3 -17 -11|] | Map: [<1 14 0 16 12|, <0 -16 3 -17 -11|] | ||
EDOs: 9, 49, 58, 165cde | EDOs: {{EDOs|9, 49, 58, 165cde}} | ||
Badness: 0.0407 | Badness: 0.0407 | ||
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Map: [<1 14 0 16 12 20|, <0 -16 3 -17 -11 -21|] | Map: [<1 14 0 16 12 20|, <0 -16 3 -17 -11 -21|] | ||
EDOs: 9, 49f, 58 | EDOs: {{EDOs|9, 49f, 58}} | ||
Badness: 0.0237 | Badness: 0.0237 | ||
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Map: [<1 2 3|, <0 -11 -18|] | Map: [<1 2 3|, <0 -11 -18|] | ||
EDOs: 26, 27, 53, 239, 292, 345, 398, 451 | EDOs: {{EDOs|26, 27, 53, 239, 292, 345, 398, 451}} | ||
Badness: 0.1172 | Badness: 0.1172 | ||
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Wedgie: <<11 18 5 3 -23 -39|| | Wedgie: <<11 18 5 3 -23 -39|| | ||
EDOs: 26, 27, 53, 80, 133d, 186d, 319d | EDOs: {{EDOs|26, 27, 53, 80, 133d, 186d, 319d}} | ||
Badness: 0.0426 | Badness: 0.0426 | ||
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Map: [<1 2 3 3 5|, <0 -11 -18 -5 -41|] | Map: [<1 2 3 3 5|, <0 -11 -18 -5 -41|] | ||
EDOs: 53, 80, 213d, 293bcd | EDOs: {{EDOs|53, 80, 213d, 293bcd}} | ||
Badness: 0.034 | Badness: 0.034 | ||
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Map: [<1 2 3 3 5 4|, <0 -11 -18 -5 -41 -8|] | Map: [<1 2 3 3 5 4|, <0 -11 -18 -5 -41 -8|] | ||
EDOs: 53, 80, 133d, 213d | EDOs: {{EDOs|53, 80, 133d, 213d}} | ||
Badness: 0.0239 | Badness: 0.0239 | ||
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Map: [<1 2 3 3 4|, <0 -11 -18 -5 -14|] | Map: [<1 2 3 3 4|, <0 -11 -18 -5 -14|] | ||
EDOs: 26, 27e, 53e, 80e | EDOs: {{EDOs|26, 27e, 53e, 80e}} | ||
Badness: 0.0418 | Badness: 0.0418 | ||
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Map: [<1 2 3 3 4 4|, <0 -11 -18 -5 -14 -8|] | Map: [<1 2 3 3 4 4|, <0 -11 -18 -5 -14 -8|] | ||
EDOs: 26, 27e, 53e | EDOs: {{EDOs|26, 27e, 53e}} | ||
Badness: 0.0277 | Badness: 0.0277 | ||
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Map: [<1 2 3 3 3|, <0 -11 -18 -5 12|] | Map: [<1 2 3 3 3|, <0 -11 -18 -5 12|] | ||
EDOs: 26, 53 | EDOs: {{EDOs|26, 53}} | ||
Badness: 0.0533 | Badness: 0.0533 | ||
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Map: [<1 2 3 3 3 4|, <0 -11 -18 -5 12 -8|] | Map: [<1 2 3 3 3 4|, <0 -11 -18 -5 12 -8|] | ||
EDOs: 26, 53, 132e, 185cdef, 238cdef | EDOs: {{EDOs|26, 53, 132e, 185cdef, 238cdef}} | ||
Badness: 0.0288 | Badness: 0.0288 | ||
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Map: [<1 3 -3|, <0 -4 15|] | Map: [<1 3 -3|, <0 -4 15|] | ||
EDOs: 14, 17, 31, 79, 110, 361bc | EDOs: {{EDOs|14, 17, 31, 79, 110, 361bc}} | ||
Badness: 0.7234 | Badness: 0.7234 | ||
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Wedgie: <<4 -15 9 -33 3 63|| | Wedgie: <<4 -15 9 -33 3 63|| | ||
EDOs: 14, 17, 31, 110, 141, 172b, 375bc | EDOs: {{EDOs|14, 17, 31, 110, 141, 172b, 375bc}} | ||
Badness: 0.0938 | Badness: 0.0938 | ||
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Map: [<1 3 -3 6 7|, <0 -4 15 -9 -10|] | Map: [<1 3 -3 6 7|, <0 -4 15 -9 -10|] | ||
EDOs: 14, 17, 31, 79, 110e, 141e | EDOs: {{EDOs|14, 17, 31, 79, 110e, 141e}} | ||
Badness: 0.0396 | Badness: 0.0396 | ||
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Map: [<1 3 -3 6 7 3|, <0 -4 15 -9 -10 2|] | Map: [<1 3 -3 6 7 3|, <0 -4 15 -9 -10 2|] | ||
EDOs: 14, 17, 31, 79f, 110ef, 141ef | EDOs: {{EDOs|14, 17, 31, 79f, 110ef, 141ef}} | ||
Badness: 0.0374 | Badness: 0.0374 | ||
Line 217: | Line 217: | ||
Map: [<1 2 3|, <0 -13 -21|] | Map: [<1 2 3|, <0 -13 -21|] | ||
EDOs: 31, 156c, 187c, 218bc, 249bc, 280bc | EDOs: {{EDOs|31, 156c, 187c, 218bc, 249bc, 280bc}} | ||
Badness: 1.3447 | Badness: 1.3447 | ||
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Wedgie: <<13 21 6 3 -27 -45|| | Wedgie: <<13 21 6 3 -27 -45|| | ||
EDOs: 31, 156c, 187c, 218bc, 249bc, 280bc | EDOs: {{EDOs|31, 156c, 187c, 218bc, 249bc, 280bc}} | ||
Badness: 0.1073 | Badness: 0.1073 | ||
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Map: [<1 2 3 3 4|, <0 -13 -21 -6 -17|] | Map: [<1 2 3 3 4|, <0 -13 -21 -6 -17|] | ||
EDOs: 31, 156ce, 187ce, 218bce, 249bce | EDOs: {{EDOs|31, 156ce, 187ce, 218bce, 249bce}} | ||
Badness: 0.0442 | Badness: 0.0442 | ||
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Map: [<1 2 3 3 4 4|, <0 -13 -21 -6 -17 -9|] | Map: [<1 2 3 3 4 4|, <0 -13 -21 -6 -17 -9|] | ||
EDOs: 31, 94cf, 125cf | EDOs: {{EDOs|31, 94cf, 125cf}} | ||
Badness: 0.0381 | Badness: 0.0381 | ||
[[Category:Temperament]] |