Septisemi temperaments: Difference between revisions
Cmloegcmluin (talk | contribs) "optimal GPV sequence" → "optimal ET sequence", per Talk:Optimal_ET_sequence |
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Temperaments discussed elsewhere are: | Temperaments discussed elsewhere are: | ||
* ''[[Mother]]'' | * ''[[Mother]]'' (+16/15) → [[Father family #Mother|Father family]] | ||
* ''[[Flat (temperament)|Flat]]'' | * ''[[Flat (temperament)|Flat]]'' (+25/24) → [[Dicot family #Flat|Dicot family]] | ||
* ''[[Beep]]'' | * ''[[Beep]]'' (+27/25) → [[Bug family #Beep|Bug family]] | ||
* ''[[Sharptone]]'' | * ''[[Sharptone]]'' (+28/27) → [[Meantone family #Sharptone|Meantone family]] | ||
* ''[[Pelogic]]'' | * ''[[Pelogic]]'' (+135/128) → [[Pelogic family #Pelogic|Pelogic family]] | ||
* ''[[Gidorah]]'' | * ''[[Gidorah]]'' (+144/125) → [[Gamelismic clan #Gidorah|Gamelismic clan]] | ||
* ''[[Oxygen]]'' | * ''[[Oxygen]]'' (+175/162) → [[Porcupine family #Oxygen|Porcupine family]] | ||
Considered below are fluorine and sodium. | Considered below are fluorine and sodium. | ||
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== Fluorine == | == Fluorine == | ||
=== 5-limit (avila) === | === 5-limit (avila) === | ||
Subgroup: 2.3.5 | [[Subgroup]]: 2.3.5 | ||
[[Comma list]]: 729/640 | [[Comma list]]: 729/640 | ||
{{Mapping|legend=1| 1 0 -7 | 0 1 6 }} | |||
[[POTE | : mapping generators: ~2, ~3 | ||
[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~3/2 = 661.593 | |||
{{Optimal ET sequence|legend=1| 2c, 7c, 9, 20b, 29b }} | {{Optimal ET sequence|legend=1| 2c, 7c, 9, 20b, 29b }} | ||
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=== 7-limit === | === 7-limit === | ||
Subgroup: 2.3.5.7 | [[Subgroup]]: 2.3.5.7 | ||
[[Comma list]]: 21/20, 243/224 | [[Comma list]]: 21/20, 243/224 | ||
{{Mapping|legend=1| 1 0 -7 -5 | 0 1 6 5 }} | |||
{{Multival|legend=1| 1 6 5 7 5 -5 }} | {{Multival|legend=1| 1 6 5 7 5 -5 }} | ||
[[POTE | [[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~3/2 = 663.059 | ||
{{Optimal ET sequence|legend=1| 9, 20bdd, 29bdd }} | {{Optimal ET sequence|legend=1| 9, 20bdd, 29bdd }} | ||
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== Sodium == | == Sodium == | ||
Subgroup: 2.3.5.7 | [[Subgroup]]: 2.3.5.7 | ||
[[Comma list]]: 21/20, 54/49 | [[Comma list]]: 21/20, 54/49 | ||
{{Mapping|legend=1| 1 1 1 2 | 0 2 5 3 }} | |||
{{Multival|legend=1| 2 5 3 3 -1 -7 }} | {{Multival|legend=1| 2 5 3 3 -1 -7 }} | ||
[[POTE | [[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~7/6 = 320.182 | ||
{{Optimal ET sequence|legend=1| 4, 11, 15b }} | {{Optimal ET sequence|legend=1| 4, 11, 15b }} | ||