Keemic temperaments: Difference between revisions

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Line 9: Line 9:
Map: [<1 5 5|, <0 -14 -11|]
Map: [<1 5 5|, <0 -14 -11|]


EDOs: {{EDOs| 4, 37, 41}}
{{EDOs|legend=1| 4, 37, 41 }}


Badness: 0.7678
Badness: 0.7678
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Wedgie: <<14 11 9 -15 -25 -10||
Wedgie: <<14 11 9 -15 -25 -10||


EDOs: {{EDOs| 4, 37, 41 }}
{{EDOs|legend=1| 4, 37, 41 }}


Badness: 0.0603
Badness: 0.0603
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Map: [<1 5 5 5 2|, <0 -14 -11 -9 6|]
Map: [<1 5 5 5 2|, <0 -14 -11 -9 6|]


EDOs: {{EDOs| 4, 37, 41, 119 }}
{{EDOs|legend=1| 4, 37, 41, 119 }}


Badness: 0.0432
Badness: 0.0432
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Map: [<1 5 5 5 2 2|, <0 -14 -11 -9 6 7|]
Map: [<1 5 5 5 2 2|, <0 -14 -11 -9 6 7|]


EDOs: {{EDOs| 4, 37, 41, 78, 119f }}
{{EDOs|legend=1| 4, 37, 41, 78, 119f }}


Badness: 0.0329
Badness: 0.0329
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Map: [<1 5 5 5 12|, <0 -14 -11 -9 -35|]
Map: [<1 5 5 5 12|, <0 -14 -11 -9 -35|]


EDOs: {{EDOs| 41, 127cd, 168cd }}
{{EDOs|legend=1| 41, 127cd, 168cd }}


Badness: 0.0412
Badness: 0.0412
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Map: [<1 5 5 5 12 12|, <0 -14 -11 -9 -35 -34|]
Map: [<1 5 5 5 12 12|, <0 -14 -11 -9 -35 -34|]


EDOs: {{EDOs| 41, 86ce, 127cd }}
{{EDOs|legend=1| 41, 86ce, 127cd }}


Badness: 0.0301
Badness: 0.0301
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Wedgie: <<19 12 21 -25 -20 15||
Wedgie: <<19 12 21 -25 -20 15||


EDOs: {{EDOs| 18, 23d, 41 }}
{{EDOs|legend=1| 18, 23d, 41 }}


Badness: 0.1104
Badness: 0.1104
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Map: [<1 9 7 11 14|, <0 -19 -12 -21 -27|]
Map: [<1 9 7 11 14|, <0 -19 -12 -21 -27|]


EDOs: {{EDOs| 18e, 23de, 41, 228ccdd }}
{{EDOs|legend=1| 18e, 23de, 41, 228ccdd }}


Badness: 0.0501
Badness: 0.0501
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Map: [<1 9 7 11 14 8|, <0 -19 -12 -21 -27 -11|]
Map: [<1 9 7 11 14 8|, <0 -19 -12 -21 -27 -11|]


EDOs: {{EDOs| 18e, 23de, 41 }}
{{EDOs|legend=1| 18e, 23de, 41 }}


Badness: 0.0392
Badness: 0.0392

Revision as of 05:20, 2 January 2021

These temper out the keema, [-5 -3 3 1 = 875/864. Keemic temperaments include magic, keemun, flattone, porcupine, doublewide, superkleismic, and sycamore. Discussed below are quasitemp and barbad.

Quasitemp

Comma: 6103515625/5804752896

POTE generator: ~3125/2592 = 292.702

Map: [<1 5 5|, <0 -14 -11|]

EDOs4, 37, 41

Badness: 0.7678

7-limit

Commas: 875/864, 2401/2400

POTE generator ~25/21 = 292.710

Map: [<1 5 5 5|, <0 -14 -11 -9|]

Wedgie: <<14 11 9 -15 -25 -10||

EDOs4, 37, 41

Badness: 0.0603

11-limit

Commas: 100/99, 385/384, 1375/1372

POTE generator: ~25/21 = 292.547

Map: [<1 5 5 5 2|, <0 -14 -11 -9 6|]

EDOs4, 37, 41, 119

Badness: 0.0432

13-limit

Commas: 100/99, 196/195, 275/273, 385/384

POTE generator: ~13/11 = 292.457

Map: [<1 5 5 5 2 2|, <0 -14 -11 -9 6 7|]

EDOs4, 37, 41, 78, 119f

Badness: 0.0329

Quato

Commas: 243/242, 441/440, 625/616

POTE generator: ~25/21 = 292.851

Map: [<1 5 5 5 12|, <0 -14 -11 -9 -35|]

EDOs41, 127cd, 168cd

Badness: 0.0412

13-limit

Commas: 105/104, 243/242, 275/273, 325/324

POTE generator: ~13/11 = 292.928

Map: [<1 5 5 5 12 12|, <0 -14 -11 -9 -35 -34|]

EDOs41, 86ce, 127cd

Badness: 0.0301

Barbad

Commas: 875/864, 16875/16807

POTE generator: ~75/49 = 468.331

Map: [<1 9 7 11|, <0 -19 -12 -21|]

Wedgie: <<19 12 21 -25 -20 15||

EDOs18, 23d, 41

Badness: 0.1104

11-limit

Commas: 245/242, 540/539, 625/616

POTE generator: ~98/75 = 468.367

Map: [<1 9 7 11 14|, <0 -19 -12 -21 -27|]

EDOs18e, 23de, 41, 228ccdd

Badness: 0.0501

13-limit

Commas: 144/143, 196/195, 245/242, 275/273

POTE generator: ~13/10 = 468.270

Map: [<1 9 7 11 14 8|, <0 -19 -12 -21 -27 -11|]

EDOs18e, 23de, 41

Badness: 0.0392