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| On this page, I explore some unnamed rank-3 temperaments that catched my interest. | | On this page, I explore some unnamed rank-3 temperaments that catched my interest. |
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| == 31 & 53 & 227 ==
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| Subgroup: 2.3.5.7
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| Comma list: 65625/65536
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| Mapping: <br>
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| {| class="right-all"
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| | [⟨ || 1 || 0 || 1 || 11 || ],
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| |-
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| | ⟨ || 0 || 1 || 1 || -6 || ],
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| |-
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| | ⟨ || 0 || 0 || 2 || -10 || ]
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| |}
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| CTE generators: ~2 = 1200.000, ~3/2 = 701.824, ~5/4 = 385.922
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| {{Optimal ET sequence|legend=1|9, 19d, 22, 31, 53, 84, 87, 118, 140, 171, 1592c, 1763c, 1934c, 2074c, 2105c, 2245cd, 2416cd, 2587cd, 2758cd, 2929cd, 3100cd, 3271ccd, 3442ccd, 3613ccd, 5034bcccdd, 5205bcccdd}}
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| Badness: 0.761
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| === 11-limit ===
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| Subgroup: 2.3.5.7.11
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| Comma list: 385/384, 3388/3375
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| Mapping: <br>
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| {| class="right-all"
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| | [⟨ || 1 || 0 || 1 || 11 || -5 || ],
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| |-
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| | ⟨ || 0 || 1 || 1 || -6 || 6 || ],
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| |-
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| | ⟨ || 0 || 0 || 2 || -10 || 8 || ]
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| |}
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| CTE generators: ~2 = 1200.000, ~3/2 = 702.121, ~5/4 = 386.112
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| {{Optimal ET sequence|legend=1|9, 22, 31, 53, 84e, 87, 118, 258e, 376de, 547dee}}
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| Badness: 0.771
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| === 13-limit ===
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| Subgroup: 2.3.5.7.11.13
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| Comma list: 385/384, 352/351, 1001/1000
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| Mapping: <br>
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| {| class="right-all"
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| | [⟨ || 1 || 0 || 1 || 11 || -5 || 0 || ],
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| |-
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| | ⟨ || 0 || 1 || 1 || -6 || 6 || 3 || ],
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| |-
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| | ⟨ || 0 || 0 || 2 || -10 || 8 || 8 || ]
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| |}
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| CTE generators: ~2 = 1200.000, ~3/2 = 702.608, ~5/4 = 385.917
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| {{Optimal ET sequence|legend=1|9f, 22, 31, 53, 84e, 87, 118, 140, 258e}}
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| Badness: 0.986
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| == 31 & 233 & 317 == | | == 31 & 233 & 317 == |