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| == Temperaments == | | == Temperaments == |
| The most basic rank-2 temperament interpretation of uranian is '''semiwolf''', which has 4:7:10 chords spelled <code>root-(p+1g)-(3p-2g)</code> (p = 3/2, g = the approximate 7/6). The name "semiwolf" comes from two [[7/6]] generators approximating a [[27/20]] wolf fourth. This is further extended to the 11-limit in two interpretations: '''semilupine''' where 2 major 2-mossteps (LL) equal 11/9, and '''hemilycan''' where 1 major and 2 minor 2-mossteps (sLs) equal 11/9. Basic 8edf fits both extensions. | | The most basic rank-2 temperament interpretation of uranian is [[semiwolf]], which has 4:7:10 chords spelled root - (''p'' + ''g'') - (3''p'' - 2''g'') where ''p'' represents the size of ~3/2 and ''g'' the size of ~7/6. |
| ===Semiwolf===
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| [[Subgroup]]: 3/2.7/4.5/2
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| [[Comma]] list: [[245/243]]
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| [[POL2]] generator: ~7/6 = 262.1728
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| [[Mapping]]: [{{val|1 1 3}}, {{val|0 1 -2}}]
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| {{Optimal ET sequence|legend=1|8edf, 11edf, 13edf}}
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| ====Semilupine====
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| [[Subgroup]]: 3/2.7/4.5/2.11/4
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| [[Comma]] list: [[245/243]], [[100/99]]
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| [[POL2]] generator: ~7/6 = 264.3771
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| [[Mapping]]: [{{val|1 1 3 4}}, {{val|0 1 -2 -4}}]
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| {{Optimal ET sequence|legend=1|8edf, 13edf}}
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| ====Hemilycan====
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| [[Subgroup]]: 3/2.7/4.5/2.11/4
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| [[Comma]] list: [[245/243]], [[441/440]]
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| [[POL2]] generator: ~7/6 = 261.5939
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| [[Mapping]]: [{{val|1 1 3 1}}, {{val|0 1 -2 4}}]
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| {{Optimal ET sequence|legend=1|8edf, 11edf}}
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| == Scale tree== | | == Scale tree== |