Mavila family: Difference between revisions
POTE -> CTE; review optimal ET sequences |
By the suggestion from Discord: show mapping generators whenever different from the CTE generators given next |
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Temperaments discussed elsewhere include | Temperaments discussed elsewhere include | ||
* ''[[Wallaby]]'' → [[Trienstonic clan #Wallaby|Trienstonic clan]] | * ''[[Wallaby]]'' (+28/27) → [[Trienstonic clan #Wallaby|Trienstonic clan]] | ||
* ''[[Medusa]]'' → [[Very low accuracy temperaments #Medusa|Very low accuracy temperaments]] | * ''[[Medusa]]'' (+15/14) → [[Very low accuracy temperaments #Medusa|Very low accuracy temperaments]] | ||
* ''[[Superpelog]]'' → [[Slendro clan #Superpelog|Slendro clan]] | * ''[[Superpelog]]'' (+49/48) → [[Slendro clan #Superpelog|Slendro clan]] | ||
* ''[[Clyndro]]'' → [[Gamelismic clan #Clyndro|Gamelismic clan]] | * ''[[Clyndro]]'' (+360/343) → [[Gamelismic clan #Clyndro|Gamelismic clan]] | ||
* ''[[Jamesbond]]'' → [[7th-octave temperaments #Jamesbond|7th-octave temperaments]] | * ''[[Jamesbond]]'' (+25/24) → [[7th-octave temperaments #Jamesbond|7th-octave temperaments]] | ||
== Septimal mavila == | == Septimal mavila == | ||
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{{Multival|legend=1| 1 -3 -11 -7 -20 -17 }} | {{Multival|legend=1| 1 -3 -11 -7 -20 -17 }} | ||
: mapping generators: ~2, ~3 | |||
[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~3/2 = 675.7492 | [[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~3/2 = 675.7492 | ||
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Mapping: {{mapping| 1 0 7 20 5 | 0 1 -3 -11 -1 }} | Mapping: {{mapping| 1 0 7 20 5 | 0 1 -3 -11 -1 }} | ||
: mapping generators: ~2, ~3 | |||
Optimal tuning (CTE): ~2 = 1\1, ~3/2 = 675.6200 | Optimal tuning (CTE): ~2 = 1\1, ~3/2 = 675.6200 | ||
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{{Mapping|legend=1| 1 0 7 9 | 0 1 -3 -4}} | {{Mapping|legend=1| 1 0 7 9 | 0 1 -3 -4}} | ||
: mapping generators: ~2, ~3 | |||
{{Multival|legend=1| 1 -3 -4 -7 -9 -1 }} | {{Multival|legend=1| 1 -3 -4 -7 -9 -1 }} | ||
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Mapping: {{mapping| 1 0 7 9 5 | 0 1 -3 -4 -1 }} | Mapping: {{mapping| 1 0 7 9 5 | 0 1 -3 -4 -1 }} | ||
: mapping generators: ~2, ~3 | |||
Optimal tuning (CTE): ~2 = 1\1, ~3/2 = 667.1801 | Optimal tuning (CTE): ~2 = 1\1, ~3/2 = 667.1801 | ||
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{{Mapping|legend=1| 1 0 7 -5 | 0 1 -3 5 }} | {{Mapping|legend=1| 1 0 7 -5 | 0 1 -3 5 }} | ||
: mapping generators: ~2, ~3 | |||
{{Multival|legend=1| 1 -3 5 -7 5 20 }} | {{Multival|legend=1| 1 -3 5 -7 5 20 }} | ||
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Mapping: {{mapping| 1 0 7 -5 5 | 0 1 -3 5 -1 }} | Mapping: {{mapping| 1 0 7 -5 5 | 0 1 -3 5 -1 }} | ||
: mapping generators: ~2, ~3 | |||
Optimal tuning (CTE): ~2 = 1\1, ~3/2 = 674.6841 | Optimal tuning (CTE): ~2 = 1\1, ~3/2 = 674.6841 | ||
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Mapping: {{mapping| 1 0 7 -5 5 -1 | 0 1 -3 5 -1 3 }} | Mapping: {{mapping| 1 0 7 -5 5 -1 | 0 1 -3 5 -1 3 }} | ||
: mapping generators: ~2, ~3 | |||
Optimal tuning (CTE): ~2 = 1\1, ~3/2 = 675.2877 | Optimal tuning (CTE): ~2 = 1\1, ~3/2 = 675.2877 | ||
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Mapping: {{mapping| 1 0 7 -5 5 -1 -2 | 0 1 -3 5 -1 3 4 }} | Mapping: {{mapping| 1 0 7 -5 5 -1 -2 | 0 1 -3 5 -1 3 4 }} | ||
: mapping generators: ~2, ~3 | |||
Optimal tuning (CTE): ~2 = 1\1, ~3/2 = 675.1703 | Optimal tuning (CTE): ~2 = 1\1, ~3/2 = 675.1703 | ||
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{{Mapping|legend=1| 1 0 7 -16 | 0 1 -3 12 }} | {{Mapping|legend=1| 1 0 7 -16 | 0 1 -3 12 }} | ||
: mapping generators: ~2, ~3 | |||
{{Multival|legend=1| 1 -3 12 -7 16 36 }} | {{Multival|legend=1| 1 -3 12 -7 16 36 }} | ||
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Mapping: {{mapping| 1 0 7 -16 5 | 0 1 -3 12 -1 }} | Mapping: {{mapping| 1 0 7 -16 5 | 0 1 -3 12 -1 }} | ||
: mapping generators: ~2, ~3 | |||
Optimal tuning (CTE): ~2 = 1\1, ~3/2 = 680.2409 | Optimal tuning (CTE): ~2 = 1\1, ~3/2 = 680.2409 | ||
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{{Mapping|legend=1| 2 0 14 15 | 0 1 -3 -3 }} | {{Mapping|legend=1| 2 0 14 15 | 0 1 -3 -3 }} | ||
: mapping generators: ~7/5, ~3 | |||
{{Multival|legend=1| 2 -6 -6 -14 -15 3 }} | {{Multival|legend=1| 2 -6 -6 -14 -15 3 }} | ||
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Mapping: {{mapping| 2 0 14 15 10 | 0 1 -3 -3 -1 }} | Mapping: {{mapping| 2 0 14 15 10 | 0 1 -3 -3 -1 }} | ||
: mapping generators: ~7/5, ~3 | |||
Optimal tuning (CTE): ~7/5 = 1\2, ~3/2 = 676.3926 | Optimal tuning (CTE): ~7/5 = 1\2, ~3/2 = 676.3926 | ||
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{{Mapping|legend=1| 1 1 4 7 | 0 2 -6 -15 }} | {{Mapping|legend=1| 1 1 4 7 | 0 2 -6 -15 }} | ||
: mapping generators: ~2, ~25/21 | |||
{{Multival|legend=1| 2 -6 -15 -14 -29 -18 }} | {{Multival|legend=1| 2 -6 -15 -14 -29 -18 }} | ||
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Mapping: {{mapping| 1 1 4 7 4 | 0 2 -6 -15 -2 }} | Mapping: {{mapping| 1 1 4 7 4 | 0 2 -6 -15 -2 }} | ||
: mapping generators: ~2, ~11/9 | |||
Optimal tuning (CTE): ~2 = 1\1, ~11/9 = 336.0156 | Optimal tuning (CTE): ~2 = 1\1, ~11/9 = 336.0156 | ||
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[[Category:Temperament families]] | [[Category:Temperament families]] | ||
[[Category:Pelogic family| ]] <!-- main article --> | [[Category:Pelogic family| ]] <!-- main article --> | ||
[[Category:Pelogic| ]] <!-- key article --> | |||
[[Category:Rank 2]] | [[Category:Rank 2]] | ||
[[Category:Listen]] | [[Category:Listen]] | ||