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| The '''tritrizo clan''' of temperaments tempers out the tritrizo comma (no-five ennealimma), {{monzo| -11 -9 0 9 }} = [[40353607/40310784]], and includes these: | | The '''tritrizo clan''' of temperaments tempers out the tritrizo comma (no-five ennealimma), {{monzo| -11 -9 0 9 }} = [[40353607/40310784]], and includes these: |
| | * ''[[Cobalt]]'' → [[Starling temperaments #Cobalt]] |
| * ''[[Niner]]'' → [[Augmented family #Niner]] | | * ''[[Niner]]'' → [[Augmented family #Niner]] |
| * ''[[Enneaportent]]'' → [[Marvel temperaments #Enneaportent]] | | * ''[[Enneaportent]]'' → [[Marvel temperaments #Enneaportent]] |
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| {{Val list|legend=1| 54, 63, 72, 135, 342, 477, 1089, 1566 }} | | {{Val list|legend=1| 54, 63, 72, 135, 342, 477, 1089, 1566 }} |
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| == Enneaplonic ==
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| Enneaplonic (27 & 81) has a period of 1/27 octave and tempers out 126/125 and 540/539, as well as the [[Starling family #Aplonis|aplonis temperament]].
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| Subgroup: 2.3.5.7
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| [[Comma list]]: 126/125, 40353607/40310784
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| [[Mapping]]: [{{val|27 43 63 76}}, {{val|0 -1 -1 -1}}]
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| [[POTE generator]]: ~3/2 = 701.244
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| {{Val list|legend=1| 27, 81, 108, 135c, 243c }}
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| [[Badness]]: 0.173308
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| === 11-limit ===
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| Subgroup: 2.3.5.7.11
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| Comma list: 126/125, 540/539, 21609/21296
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| Mapping: [{{val|27 43 63 76 94}}, {{val|0 -1 -1 -1 -2}}]
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| POTE generator: ~3/2 = 700.001
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| Optimal GPV sequence: {{Val list| 27e, 81, 108 }}
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| Badness: 0.078060
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| ==== 13-limit ====
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| Subgroup: 2.3.5.7.11.13
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| Comma list: 126/125, 144/143, 196/195, 21609/21296
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| Mapping: [{{val|27 43 63 76 94 100}}, {{val|0 -1 -1 -1 -2 0}}]
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| POTE generator: ~3/2 = 700.867
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| Optimal GPV sequence: {{Val list| 27e, 81, 108, 243ceef }}
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| Badness: 0.057145
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| ==== Enneaplonoid ====
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| Subgroup: 2.3.5.7.11.13
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| Comma list: 126/125, 169/168, 540/539, 975/968
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| Mapping: [{{val|27 43 63 76 94 100}}, {{val|0 -1 -1 -1 -2 -1}}]
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| POTE generator: ~3/2 = 699.179
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| Optimal GPV sequence: {{Val list| 27e, 54bdef, 81f, 108f }}
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| Badness: 0.052732
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| == Undecentic == | | == Undecentic == |